Static analysis of a beam

using Muscade, StaticArrays, GLMakie

TODO

This code is for static analysis. Use Muscade.motion to create Adiffs that will facilitate the dynamic computation.
This code is not A-parameterized. Arguably, we do not want to A-parameterize the element, just the material:
- create an example of A-parameterized material
- make the element pass on the A-parameters to all Gauss points (valid for material optimisation, not for local damage detection)
- .doflist must interrogate the material to get the list of A-dofs
U-dofs, using a "isoparametric" formulation
performance. Liberal use of nested Adiff makes code simple, but not fast...

3D rotations

sinc1(x) = sinc(x/π)
function sinc1′(x)
    if abs(x)>1e-3
        s,c=sin(x),cos(x)
        c/x -s/x^2
    else
        x² = x*x
        x*(-1/3 +x²/30)
    end
end
function sinc1″(x)
    if abs(x)>1e-1
        s,c=sin(x),cos(x)
        -s/x -2c/x^2 +2s/x^3
    else
        x² = x*x
        -1/3 +x²*(1/10 +x²*(-1/168 +x²*(1/6480)))
    end
end
function sinc1‴(x)
    if abs(x)>0.4
        s,c=sin(x),cos(x)
        -c/x +3s/x^2 +6c/x^3 -6s/x^4
    else
        x² = x*x
        x*(1/5 +x²*(-1/42 +x²*(1/1080 +x²*(-1/55440 +x²*(1/4717440)))))
    end
end
function sinc1⁗(x)
    x² = x*x
    1/5 +x²*(-1/14 +x²*(1/216 +x²*(-1/7920 +x²*(1/524160 +x²*(-1/54432000 +x²*(1/54432000 +x²*(-1/8143027200 +x²*(1/1656387532800))))))))
end
sinc1⁗′(x) = x*NaN
using Muscade
Muscade.@DiffRule1(sinc1,               sinc1′( a.x)                * a.dx )
Muscade.@DiffRule1(sinc1′,              sinc1″( a.x)                * a.dx )
Muscade.@DiffRule1(sinc1″,              sinc1‴( a.x)                * a.dx )
Muscade.@DiffRule1(sinc1‴,              sinc1⁗( a.x)                * a.dx )
Muscade.@DiffRule1(sinc1⁗,              sinc1⁗′(a.x)                * a.dx )

sinc1⁗ (generic function with 2 methods)

sinc1(acos(x)), differentiable to fourth order over ]-1,1]

function scac(x)
    dx = x-1
    if abs(dx)>1e-2
        sinc1(acos(x))
    else  # deliberately a long Taylor series (5th order): this function will be adiffed at least to 2nd order, up to 4th order
        y = 1 + dx*(1/3 + dx*(-2/90 + dx*(0.0052911879917544626 + dx*(-0.0016229317117234072 + dx*(0.0005625)))))
    end
end

const Mat33{R}   = SMatrix{3,3,R,9}
const Vec3{R}    = SVector{3,R}


spin(  v::Vec3 ) = SMatrix{3,3}(0,v[3],-v[2],-v[3],0,v[1],v[2],-v[1],0)

spin⁻¹(m::Mat33) = SVector{3}(m[3,2]-m[2,3],m[1,3]-m[3,1],m[2,1]-m[1,2])/2

trace( m::Mat33) = m[1,1]+m[2,2]+m[3,3]

Rodrigues⁻¹(m)   = spin⁻¹(m)/scac((trace(m)-1)/2)   # NB: is necessarily singular for π turn

function Rodrigues(v::Vec3)
    S = spin(v)
    θ = norm(v)
    return I + sinc1(θ)*S + sinc1(θ/2)^2/2*S*S
end

normalize(v)     = v/norm(v)

normalize (generic function with 1 method)

create a rotation vector that acts on u to make it colinear with v. Fails if |u|=0, |v|=0 or θ=π

function adjust(u::Vec3{R},v::Vec3{R}) where{R}
    u,v = normalize.((u,v))
    c,w = dot(u,v), cross(u,v)
    s   = norm(w)
    θ   = atan(s,c)
    return w/sinc1(θ)
end

adjust (generic function with 1 method)

Euler beam element

using StaticArrays, LinearAlgebra
using Muscade

# Cross section "material"

struct BeamCrossSection
    EA :: 𝕣
    EI :: 𝕣
    GJ :: 𝕣
end
BeamCrossSection(;EA=EA,EI=EI,GJ=GJ) = BeamCrossSection(EA,EI,GJ)

@espy function resultants(o::BeamCrossSection,ε,κ,xᵧ,rot)
    ☼f₁ = o.EA*ε
    ☼m  = SVector(o.GJ*κ[1],o.EI*κ[2],o.EI*κ[3])
    ☼fₑ = SVector(0.,0.,0.)
    return f₁,m,fₑ
end

# Static Euler beam element

const ngp        = 2
const ndim       = 3
const ndof       = 12
const nnod       = 2

Though the shape function matrices are sparse, do not "unroll" them. That would be faster but considerably clutter the code

ζ∈[-1/2,1/2]

Nₐ₁(ζ) =                    -ζ +1/2
Nₐ₂(ζ) =                     ζ +1/2
Nᵤ₁(ζ) =  2ζ^3          -3/2*ζ +1/2
Nᵥ₁(ζ) =   ζ^3 -1/2*ζ^2 -1/4*ζ +1/8
Nᵤ₂(ζ) = -2ζ^3          +3/2*ζ +1/2
Nᵥ₂(ζ) =   ζ^3 +1/2*ζ^2 -1/4*ζ -1/8

Nᵥ₂ (generic function with 1 method)

∂N/∂ζ ∂N/∂x=∂N/∂ζ/L

Bₐ₁(ζ) = -1
Bₐ₂(ζ) =  1

Bₐ₂ (generic function with 1 method)

∂²N/∂ζ² ∂²N/∂x²=∂²N/∂ζ²/L²

Bᵤ₁(ζ) =   12ζ
Bᵥ₁(ζ) =    6ζ-1
Bᵤ₂(ζ) =  -12ζ
Bᵥ₂(ζ) =    6ζ+1

struct EulerBeam3D{Mat} <: AbstractElement
    cₘ       :: SVector{3,𝕣}
    rₘ       :: Mat33{𝕣}
    ζgp      :: SVector{ngp,𝕣}
    ζnod     :: SVector{nnod,𝕣}
    tgₘ      :: SVector{ndim,𝕣}
    tgₑ      :: SVector{ndim,𝕣}
    Nε       :: SVector{ngp,SVector{     ndof,𝕣}}
    Nκ       :: SVector{ngp,SMatrix{ndim,ndof,𝕣,ndim*ndof}}
    Nu       :: SVector{ngp,SMatrix{ndim,ndof,𝕣,ndim*ndof}}
    dL       :: SVector{ngp,𝕣}
    mat      :: Mat
end
Muscade.doflist(::Type{<:EulerBeam3D}) = (inod = (1,1,1,1,1,1, 2,2,2,2,2,2), class= ntuple(i->:X,ndof), field= (:t1,:t2,:t3,:r1,:r2,:r3, :t1,:t2,:t3,:r1,:r2,:r3) )

function EulerBeam3D(nod::Vector{Node};mat,orient2::SVector{ndim,𝕣}=SVector(0.,1.,0.))
    c       = coord(nod)
    cₘ      = SVector{ndim}((c[1]+c[2])/2)
    tgₘ     = SVector{ndim}( c[2]-c[1]   )
    L       = norm(tgₘ)
    t       = tgₘ/L
    orient2/= norm(orient2)
    n       = orient2 - t*dot(orient2,t)
    nn      = norm(n)
    nn>1e-3 || muscadeerror("Provide a 'orient' input that is not nearly parallel to the element")
    n      /= nn
    b       = cross(t,n)
    rₘ      = SMatrix{ndim,ndim}(t...,n...,b...)
    tgₑ     = SVector{ndim}(L,0,0)
    dL      = SVector{ngp }(L/2   , L/2 )
    ζgp     = SVector{ngp }(-1/2√3,1/2√3) # ζ∈[-1/2,1/2]
    ζnod    = SVector{ngp }(-1/2  ,1/2  ) # ζ∈[-1/2,1/2]
    L²      = L^2
    Nε      = SVector{ngp}(@SVector [Bₐ₁(ζᵢ)/L,0,         0,         0,         0,          0,         Bₐ₂(ζᵢ)/L,0,         0,          0,          0,          0         ] for ζᵢ∈ζgp)  # Nε[igp][idof]
    Nκ      = SVector{ngp}(@SMatrix [0         0          0          Bₐ₁(ζᵢ)/L  0           0          0         0          0           Bₐ₂(ζᵢ)/L   0           0         ;
                                     0         Bᵤ₁(ζᵢ)/L² 0          0          0           Bᵥ₁(ζᵢ)/L 0         Bᵤ₂(ζᵢ)/L² 0           0           0           Bᵥ₂(ζᵢ)/L;
                                     0         0          Bᵤ₁(ζᵢ)/L² 0          -Bᵥ₁(ζᵢ)/L 0          0         0          Bᵤ₂(ζᵢ)/L²  0           -Bᵥ₂(ζᵢ)/L  0         ] for ζᵢ∈ζgp) # Nκ[igp][idim,idof]
    Nu      = SVector{ngp}(@SMatrix [Nₐ₁(ζᵢ)   0          0          0          0           0          Nₐ₂(ζᵢ)   0          0           0           0           0         ;
                                     0         Nᵤ₁(ζᵢ)    0          0          0           Nᵥ₁(ζᵢ)    0         Nᵤ₂(ζᵢ)    0           0           0           Nᵥ₂(ζᵢ)   ;
                                     0         0          Nᵤ₁(ζᵢ)    0          -Nᵥ₁(ζᵢ)    0          0         0          Nᵤ₂(ζᵢ)     0           -Nᵥ₂(ζᵢ)    0         ] for ζᵢ∈ζgp) # Nu[igp][idim,idof]
    return EulerBeam3D(cₘ,rₘ,ζgp,ζnod,tgₘ,tgₑ,Nε,Nκ,Nu,dL,mat)
end
const saco = StaticArrays.sacollect
const v3   = SVector{3}
@espy function Muscade.residual(o::EulerBeam3D,   X,U,A,t,SP,dbg)
    cₘ,rₘ,tgₘ,tgₑ     = o.cₘ,o.rₘ,o.tgₘ,o.tgₑ
    Nε,Nκ,Nu         = o.Nε,o.Nκ,o.Nu
    ζgp,ζnod,dL      = o.ζgp,o.ζnod,o.dL
    P                = constants(X,U,A,t)
    ΔX               = variate{P,ndof}(∂0(X))
    uᵧ₁,vᵧ₁,uᵧ₂,vᵧ₂  = SVector{3}(ΔX[i] for i∈1:3), SVector{3}(ΔX[i] for i∈4:6),SVector{3}(ΔX[i] for i∈7:9),SVector{3}(ΔX[i] for i∈10:12)
    cₛ               = (uᵧ₁+uᵧ₂)/2
    rₛ               = Rodrigues((vᵧ₁+vᵧ₂)/2)
    rₛ               = Rodrigues(adjust(rₛ∘tgₘ,tgₘ+uᵧ₂-uᵧ₁))∘rₛ
    rₛₘ              = rₛ∘rₘ
    uₗ₁              = rₛₘ'∘(uᵧ₁+tgₘ*ζnod[1]-cₛ)-tgₑ*ζnod[1]
    uₗ₂              = rₛₘ'∘(uᵧ₂+tgₘ*ζnod[2]-cₛ)-tgₑ*ζnod[2]
    vₗ₁              = Rodrigues⁻¹(rₛₘ'∘Rodrigues(vᵧ₁)∘rₘ)
    vₗ₂              = Rodrigues⁻¹(rₛₘ'∘Rodrigues(vᵧ₂)∘rₘ)
    δXₗ,T            = value_∂{P,ndof}(SVector(uₗ₁...,vₗ₁...,uₗ₂...,vₗ₂...))
    gp              = ntuple(ngp) do igp
        ☼ε,☼κ,☼uₗ    = Nε[igp]∘δXₗ, Nκ[igp]∘δXₗ, Nu[igp]∘δXₗ   # axial strain, curvatures, displacement - all local
        ☼x          = rₛₘ∘(tgₑ*ζgp[igp]+uₗ)+cₛ+cₘ             # [ndim], global coordinates
        f₁,m,fₑ     = ☼resultants(o.mat,ε,κ,x,rₛₘ)  # NB: fₑ is in local coordinates
        Rₗ           = (f₁ ∘₀ Nε[igp] + m∘Nκ[igp] + fₑ∘Nu[igp])*dL[igp]     # [ndof] = scalar*[ndof] + [ndim]⋅[ndim,ndof] + [ndim]⋅[ndim,ndof]
        @named(Rₗ)
    end
    R  = sum(gpᵢ.Rₗ for gpᵢ∈gp) ∘ T
    return R,noFB
end

Analysis

Defining the beam properties and loading. Beam clamped at both ends, subjected to uniform distributed load of intensity q

L = 10.0;  # Beam length [m]
q = 10.0;  # Uniform lateral load [N/m]
EI = 1e6;  # Bending stiffness [Nm²]
EA = 1e6;  # Axial stiffness [N]
GJ = 1e3;  # Torsional stiffness [Nm²]

Analytical solutions from here (which contains errors), and checked against this source

x = (0:L/100:L);

Deflection (the two sources agree)

w = q*L^2*x.^2 .* (1.0 .-x/L).^2 ./ (24.0*EI);

Slope (verified by differentiating the above)

θ = -q*L^2*x.*(1.0 .- 3.0*x/L + 2.0*x.^2/L^2) / (12.0*EI);

Curvature (derived)

κ = -q*L^2*(1.0 .- 6.0*x/L + 6.0*x.^2/L^2) / (12.0*EI);

Bending moment (the two sources do not agree)

M = -q*L^2*(1.0 .- 6.0*x/L + 6.0*x.^2/L^2) / 12.0;

Shear force (the two sources agree)

V = q*L*(1.0 .- 2.0*x/L) / 2.0;

Create the model

nel         = 20
nnod        = nel+1
nodeCoord   = hcat((0:L/nel:L),zeros(Float64,nnod,2))
mat         = BeamCrossSection(EA=EA,EI=EI,GJ=GJ)
model       = Model(:TestModel)
nodid       = addnode!(model,nodeCoord)
mesh        = hcat(nodid[1:nnod-1],nodid[2:nnod])
eleid       = addelement!(model,EulerBeam3D,mesh;mat=mat,orient2=SVector(0.,1.,0.))

[addelement!(model,Hold,[nodid[1]]  ;field) for field∈[:t1,:t2,:t3,:r1,:r2,:r3]]                                # Clamp end 1
[addelement!(model,Hold,[nodid[end]];field) for field∈[:t1,:t2,:t3,:r1,:r2,:r3]]                                # Clamp end 2
[addelement!(model,DofLoad,[nodid[nodeidx]];field=:t2,value=t->-min(1,t)*q*L/nnod) for nodeidx=1:nnod];          # Distributed vertical load q

WARNING: redefinition of constant Main.nnod. This may fail, cause incorrect answers, or produce other errors.

Solve the problem

initialstate    = initialize!(model);
state           = solve(SweepX{0};initialstate,time=[0.,1.])

2-element Vector{Muscade.State{1, 1, 1, @NamedTuple{γ::Float64}}}:
 Muscade.State{1, 1, 1, @NamedTuple{γ::Float64}}(0.0, ([0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],), ([0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],), (Float64[],), Float64[], (γ = NaN,), Model(:TestModel, Node[Node(Muscade.NodID(1), [0.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 1), Muscade.DofID(:X, 2), Muscade.DofID(:X, 3), Muscade.DofID(:X, 4), Muscade.DofID(:X, 5), Muscade.DofID(:X, 6), Muscade.DofID(:X, 127), Muscade.DofID(:X, 128), Muscade.DofID(:X, 129), Muscade.DofID(:X, 130), Muscade.DofID(:X, 131), Muscade.DofID(:X, 132)], Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(2, 1), Muscade.EleID(3, 1), Muscade.EleID(4, 1), Muscade.EleID(5, 1), Muscade.EleID(6, 1), Muscade.EleID(7, 1), Muscade.EleID(8, 1)]), Node(Muscade.NodID(2), [0.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 7), Muscade.DofID(:X, 8), Muscade.DofID(:X, 9), Muscade.DofID(:X, 10), Muscade.DofID(:X, 11), Muscade.DofID(:X, 12)], Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2), Muscade.EleID(8, 2)]), Node(Muscade.NodID(3), [1.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 13), Muscade.DofID(:X, 14), Muscade.DofID(:X, 15), Muscade.DofID(:X, 16), Muscade.DofID(:X, 17), Muscade.DofID(:X, 18)], Muscade.EleID[Muscade.EleID(1, 2), Muscade.EleID(1, 3), Muscade.EleID(8, 3)]), Node(Muscade.NodID(4), [1.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 19), Muscade.DofID(:X, 20), Muscade.DofID(:X, 21), Muscade.DofID(:X, 22), Muscade.DofID(:X, 23), Muscade.DofID(:X, 24)], Muscade.EleID[Muscade.EleID(1, 3), Muscade.EleID(1, 4), Muscade.EleID(8, 4)]), Node(Muscade.NodID(5), [2.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 25), Muscade.DofID(:X, 26), Muscade.DofID(:X, 27), Muscade.DofID(:X, 28), Muscade.DofID(:X, 29), Muscade.DofID(:X, 30)], Muscade.EleID[Muscade.EleID(1, 4), Muscade.EleID(1, 5), Muscade.EleID(8, 5)]), Node(Muscade.NodID(6), [2.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 31), Muscade.DofID(:X, 32), Muscade.DofID(:X, 33), Muscade.DofID(:X, 34), Muscade.DofID(:X, 35), Muscade.DofID(:X, 36)], Muscade.EleID[Muscade.EleID(1, 5), Muscade.EleID(1, 6), Muscade.EleID(8, 6)]), Node(Muscade.NodID(7), [3.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 37), Muscade.DofID(:X, 38), Muscade.DofID(:X, 39), Muscade.DofID(:X, 40), Muscade.DofID(:X, 41), Muscade.DofID(:X, 42)], Muscade.EleID[Muscade.EleID(1, 6), Muscade.EleID(1, 7), Muscade.EleID(8, 7)]), Node(Muscade.NodID(8), [3.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 43), Muscade.DofID(:X, 44), Muscade.DofID(:X, 45), Muscade.DofID(:X, 46), Muscade.DofID(:X, 47), Muscade.DofID(:X, 48)], Muscade.EleID[Muscade.EleID(1, 7), Muscade.EleID(1, 8), Muscade.EleID(8, 8)]), Node(Muscade.NodID(9), [4.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 49), Muscade.DofID(:X, 50), Muscade.DofID(:X, 51), Muscade.DofID(:X, 52), Muscade.DofID(:X, 53), Muscade.DofID(:X, 54)], Muscade.EleID[Muscade.EleID(1, 8), Muscade.EleID(1, 9), Muscade.EleID(8, 9)]), Node(Muscade.NodID(10), [4.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 55), Muscade.DofID(:X, 56), Muscade.DofID(:X, 57), Muscade.DofID(:X, 58), Muscade.DofID(:X, 59), Muscade.DofID(:X, 60)], Muscade.EleID[Muscade.EleID(1, 9), Muscade.EleID(1, 10), Muscade.EleID(8, 10)])  …  Node(Muscade.NodID(12), [5.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 67), Muscade.DofID(:X, 68), Muscade.DofID(:X, 69), Muscade.DofID(:X, 70), Muscade.DofID(:X, 71), Muscade.DofID(:X, 72)], Muscade.EleID[Muscade.EleID(1, 11), Muscade.EleID(1, 12), Muscade.EleID(8, 12)]), Node(Muscade.NodID(13), [6.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 73), Muscade.DofID(:X, 74), Muscade.DofID(:X, 75), Muscade.DofID(:X, 76), Muscade.DofID(:X, 77), Muscade.DofID(:X, 78)], Muscade.EleID[Muscade.EleID(1, 12), Muscade.EleID(1, 13), Muscade.EleID(8, 13)]), Node(Muscade.NodID(14), [6.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 79), Muscade.DofID(:X, 80), Muscade.DofID(:X, 81), Muscade.DofID(:X, 82), Muscade.DofID(:X, 83), Muscade.DofID(:X, 84)], Muscade.EleID[Muscade.EleID(1, 13), Muscade.EleID(1, 14), Muscade.EleID(8, 14)]), Node(Muscade.NodID(15), [7.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 85), Muscade.DofID(:X, 86), Muscade.DofID(:X, 87), Muscade.DofID(:X, 88), Muscade.DofID(:X, 89), Muscade.DofID(:X, 90)], Muscade.EleID[Muscade.EleID(1, 14), Muscade.EleID(1, 15), Muscade.EleID(8, 15)]), Node(Muscade.NodID(16), [7.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 91), Muscade.DofID(:X, 92), Muscade.DofID(:X, 93), Muscade.DofID(:X, 94), Muscade.DofID(:X, 95), Muscade.DofID(:X, 96)], Muscade.EleID[Muscade.EleID(1, 15), Muscade.EleID(1, 16), Muscade.EleID(8, 16)]), Node(Muscade.NodID(17), [8.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 97), Muscade.DofID(:X, 98), Muscade.DofID(:X, 99), Muscade.DofID(:X, 100), Muscade.DofID(:X, 101), Muscade.DofID(:X, 102)], Muscade.EleID[Muscade.EleID(1, 16), Muscade.EleID(1, 17), Muscade.EleID(8, 17)]), Node(Muscade.NodID(18), [8.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 103), Muscade.DofID(:X, 104), Muscade.DofID(:X, 105), Muscade.DofID(:X, 106), Muscade.DofID(:X, 107), Muscade.DofID(:X, 108)], Muscade.EleID[Muscade.EleID(1, 17), Muscade.EleID(1, 18), Muscade.EleID(8, 18)]), Node(Muscade.NodID(19), [9.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 109), Muscade.DofID(:X, 110), Muscade.DofID(:X, 111), Muscade.DofID(:X, 112), Muscade.DofID(:X, 113), Muscade.DofID(:X, 114)], Muscade.EleID[Muscade.EleID(1, 18), Muscade.EleID(1, 19), Muscade.EleID(8, 19)]), Node(Muscade.NodID(20), [9.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 115), Muscade.DofID(:X, 116), Muscade.DofID(:X, 117), Muscade.DofID(:X, 118), Muscade.DofID(:X, 119), Muscade.DofID(:X, 120)], Muscade.EleID[Muscade.EleID(1, 19), Muscade.EleID(1, 20), Muscade.EleID(8, 20)]), Node(Muscade.NodID(21), [10.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 121), Muscade.DofID(:X, 122), Muscade.DofID(:X, 123), Muscade.DofID(:X, 124), Muscade.DofID(:X, 125), Muscade.DofID(:X, 126), Muscade.DofID(:X, 133), Muscade.DofID(:X, 134), Muscade.DofID(:X, 135), Muscade.DofID(:X, 136), Muscade.DofID(:X, 137), Muscade.DofID(:X, 138)], Muscade.EleID[Muscade.EleID(1, 20), Muscade.EleID(2, 2), Muscade.EleID(3, 2), Muscade.EleID(4, 2), Muscade.EleID(5, 2), Muscade.EleID(6, 2), Muscade.EleID(7, 2), Muscade.EleID(8, 21)])], Vector{Muscade.Element}[[Muscade.Element(Muscade.EleID(1, 1), 1, 1, Muscade.NodID[Muscade.NodID(1), Muscade.NodID(2)], Muscade.DofID[Muscade.DofID(:X, 1), Muscade.DofID(:X, 2), Muscade.DofID(:X, 3), Muscade.DofID(:X, 4), Muscade.DofID(:X, 5), Muscade.DofID(:X, 6), Muscade.DofID(:X, 7), Muscade.DofID(:X, 8), Muscade.DofID(:X, 9), Muscade.DofID(:X, 10), Muscade.DofID(:X, 11), Muscade.DofID(:X, 12)]), Muscade.Element(Muscade.EleID(1, 2), 1, 2, Muscade.NodID[Muscade.NodID(2), Muscade.NodID(3)], Muscade.DofID[Muscade.DofID(:X, 7), Muscade.DofID(:X, 8), Muscade.DofID(:X, 9), Muscade.DofID(:X, 10), Muscade.DofID(:X, 11), Muscade.DofID(:X, 12), Muscade.DofID(:X, 13), Muscade.DofID(:X, 14), Muscade.DofID(:X, 15), Muscade.DofID(:X, 16), Muscade.DofID(:X, 17), Muscade.DofID(:X, 18)]), Muscade.Element(Muscade.EleID(1, 3), 1, 3, Muscade.NodID[Muscade.NodID(3), Muscade.NodID(4)], Muscade.DofID[Muscade.DofID(:X, 13), Muscade.DofID(:X, 14), Muscade.DofID(:X, 15), Muscade.DofID(:X, 16), Muscade.DofID(:X, 17), Muscade.DofID(:X, 18), Muscade.DofID(:X, 19), Muscade.DofID(:X, 20), Muscade.DofID(:X, 21), Muscade.DofID(:X, 22), Muscade.DofID(:X, 23), Muscade.DofID(:X, 24)]), Muscade.Element(Muscade.EleID(1, 4), 1, 4, Muscade.NodID[Muscade.NodID(4), Muscade.NodID(5)], Muscade.DofID[Muscade.DofID(:X, 19), Muscade.DofID(:X, 20), Muscade.DofID(:X, 21), Muscade.DofID(:X, 22), Muscade.DofID(:X, 23), Muscade.DofID(:X, 24), Muscade.DofID(:X, 25), Muscade.DofID(:X, 26), Muscade.DofID(:X, 27), Muscade.DofID(:X, 28), Muscade.DofID(:X, 29), Muscade.DofID(:X, 30)]), Muscade.Element(Muscade.EleID(1, 5), 1, 5, Muscade.NodID[Muscade.NodID(5), Muscade.NodID(6)], Muscade.DofID[Muscade.DofID(:X, 25), Muscade.DofID(:X, 26), Muscade.DofID(:X, 27), Muscade.DofID(:X, 28), Muscade.DofID(:X, 29), Muscade.DofID(:X, 30), Muscade.DofID(:X, 31), Muscade.DofID(:X, 32), Muscade.DofID(:X, 33), Muscade.DofID(:X, 34), Muscade.DofID(:X, 35), Muscade.DofID(:X, 36)]), Muscade.Element(Muscade.EleID(1, 6), 1, 6, Muscade.NodID[Muscade.NodID(6), Muscade.NodID(7)], Muscade.DofID[Muscade.DofID(:X, 31), Muscade.DofID(:X, 32), Muscade.DofID(:X, 33), Muscade.DofID(:X, 34), Muscade.DofID(:X, 35), Muscade.DofID(:X, 36), Muscade.DofID(:X, 37), Muscade.DofID(:X, 38), Muscade.DofID(:X, 39), Muscade.DofID(:X, 40), Muscade.DofID(:X, 41), Muscade.DofID(:X, 42)]), Muscade.Element(Muscade.EleID(1, 7), 1, 7, Muscade.NodID[Muscade.NodID(7), Muscade.NodID(8)], Muscade.DofID[Muscade.DofID(:X, 37), Muscade.DofID(:X, 38), Muscade.DofID(:X, 39), Muscade.DofID(:X, 40), Muscade.DofID(:X, 41), Muscade.DofID(:X, 42), Muscade.DofID(:X, 43), Muscade.DofID(:X, 44), Muscade.DofID(:X, 45), Muscade.DofID(:X, 46), Muscade.DofID(:X, 47), Muscade.DofID(:X, 48)]), Muscade.Element(Muscade.EleID(1, 8), 1, 8, Muscade.NodID[Muscade.NodID(8), Muscade.NodID(9)], Muscade.DofID[Muscade.DofID(:X, 43), Muscade.DofID(:X, 44), Muscade.DofID(:X, 45), Muscade.DofID(:X, 46), Muscade.DofID(:X, 47), Muscade.DofID(:X, 48), Muscade.DofID(:X, 49), Muscade.DofID(:X, 50), Muscade.DofID(:X, 51), Muscade.DofID(:X, 52), Muscade.DofID(:X, 53), Muscade.DofID(:X, 54)]), Muscade.Element(Muscade.EleID(1, 9), 1, 9, Muscade.NodID[Muscade.NodID(9), Muscade.NodID(10)], Muscade.DofID[Muscade.DofID(:X, 49), Muscade.DofID(:X, 50), Muscade.DofID(:X, 51), Muscade.DofID(:X, 52), Muscade.DofID(:X, 53), Muscade.DofID(:X, 54), Muscade.DofID(:X, 55), Muscade.DofID(:X, 56), Muscade.DofID(:X, 57), Muscade.DofID(:X, 58), Muscade.DofID(:X, 59), Muscade.DofID(:X, 60)]), Muscade.Element(Muscade.EleID(1, 10), 1, 10, Muscade.NodID[Muscade.NodID(10), Muscade.NodID(11)], Muscade.DofID[Muscade.DofID(:X, 55), Muscade.DofID(:X, 56), Muscade.DofID(:X, 57), Muscade.DofID(:X, 58), Muscade.DofID(:X, 59), Muscade.DofID(:X, 60), Muscade.DofID(:X, 61), Muscade.DofID(:X, 62), Muscade.DofID(:X, 63), Muscade.DofID(:X, 64), Muscade.DofID(:X, 65), Muscade.DofID(:X, 66)]), Muscade.Element(Muscade.EleID(1, 11), 1, 11, Muscade.NodID[Muscade.NodID(11), Muscade.NodID(12)], Muscade.DofID[Muscade.DofID(:X, 61), Muscade.DofID(:X, 62), Muscade.DofID(:X, 63), Muscade.DofID(:X, 64), Muscade.DofID(:X, 65), Muscade.DofID(:X, 66), Muscade.DofID(:X, 67), Muscade.DofID(:X, 68), Muscade.DofID(:X, 69), Muscade.DofID(:X, 70), Muscade.DofID(:X, 71), Muscade.DofID(:X, 72)]), Muscade.Element(Muscade.EleID(1, 12), 1, 12, Muscade.NodID[Muscade.NodID(12), Muscade.NodID(13)], Muscade.DofID[Muscade.DofID(:X, 67), Muscade.DofID(:X, 68), Muscade.DofID(:X, 69), Muscade.DofID(:X, 70), Muscade.DofID(:X, 71), Muscade.DofID(:X, 72), Muscade.DofID(:X, 73), Muscade.DofID(:X, 74), Muscade.DofID(:X, 75), Muscade.DofID(:X, 76), Muscade.DofID(:X, 77), Muscade.DofID(:X, 78)]), Muscade.Element(Muscade.EleID(1, 13), 1, 13, Muscade.NodID[Muscade.NodID(13), Muscade.NodID(14)], Muscade.DofID[Muscade.DofID(:X, 73), Muscade.DofID(:X, 74), Muscade.DofID(:X, 75), Muscade.DofID(:X, 76), Muscade.DofID(:X, 77), Muscade.DofID(:X, 78), Muscade.DofID(:X, 79), Muscade.DofID(:X, 80), Muscade.DofID(:X, 81), Muscade.DofID(:X, 82), Muscade.DofID(:X, 83), Muscade.DofID(:X, 84)]), Muscade.Element(Muscade.EleID(1, 14), 1, 14, Muscade.NodID[Muscade.NodID(14), Muscade.NodID(15)], Muscade.DofID[Muscade.DofID(:X, 79), Muscade.DofID(:X, 80), Muscade.DofID(:X, 81), Muscade.DofID(:X, 82), Muscade.DofID(:X, 83), Muscade.DofID(:X, 84), Muscade.DofID(:X, 85), Muscade.DofID(:X, 86), Muscade.DofID(:X, 87), Muscade.DofID(:X, 88), Muscade.DofID(:X, 89), Muscade.DofID(:X, 90)]), Muscade.Element(Muscade.EleID(1, 15), 1, 15, Muscade.NodID[Muscade.NodID(15), Muscade.NodID(16)], Muscade.DofID[Muscade.DofID(:X, 85), Muscade.DofID(:X, 86), Muscade.DofID(:X, 87), Muscade.DofID(:X, 88), Muscade.DofID(:X, 89), Muscade.DofID(:X, 90), Muscade.DofID(:X, 91), Muscade.DofID(:X, 92), Muscade.DofID(:X, 93), Muscade.DofID(:X, 94), Muscade.DofID(:X, 95), Muscade.DofID(:X, 96)]), Muscade.Element(Muscade.EleID(1, 16), 1, 16, Muscade.NodID[Muscade.NodID(16), Muscade.NodID(17)], Muscade.DofID[Muscade.DofID(:X, 91), Muscade.DofID(:X, 92), Muscade.DofID(:X, 93), Muscade.DofID(:X, 94), Muscade.DofID(:X, 95), Muscade.DofID(:X, 96), Muscade.DofID(:X, 97), Muscade.DofID(:X, 98), Muscade.DofID(:X, 99), Muscade.DofID(:X, 100), Muscade.DofID(:X, 101), Muscade.DofID(:X, 102)]), Muscade.Element(Muscade.EleID(1, 17), 1, 17, Muscade.NodID[Muscade.NodID(17), Muscade.NodID(18)], Muscade.DofID[Muscade.DofID(:X, 97), Muscade.DofID(:X, 98), Muscade.DofID(:X, 99), Muscade.DofID(:X, 100), Muscade.DofID(:X, 101), Muscade.DofID(:X, 102), Muscade.DofID(:X, 103), Muscade.DofID(:X, 104), Muscade.DofID(:X, 105), Muscade.DofID(:X, 106), Muscade.DofID(:X, 107), Muscade.DofID(:X, 108)]), Muscade.Element(Muscade.EleID(1, 18), 1, 18, Muscade.NodID[Muscade.NodID(18), Muscade.NodID(19)], Muscade.DofID[Muscade.DofID(:X, 103), Muscade.DofID(:X, 104), Muscade.DofID(:X, 105), Muscade.DofID(:X, 106), Muscade.DofID(:X, 107), Muscade.DofID(:X, 108), Muscade.DofID(:X, 109), Muscade.DofID(:X, 110), Muscade.DofID(:X, 111), Muscade.DofID(:X, 112), Muscade.DofID(:X, 113), Muscade.DofID(:X, 114)]), Muscade.Element(Muscade.EleID(1, 19), 1, 19, Muscade.NodID[Muscade.NodID(19), Muscade.NodID(20)], Muscade.DofID[Muscade.DofID(:X, 109), Muscade.DofID(:X, 110), Muscade.DofID(:X, 111), Muscade.DofID(:X, 112), Muscade.DofID(:X, 113), Muscade.DofID(:X, 114), Muscade.DofID(:X, 115), Muscade.DofID(:X, 116), Muscade.DofID(:X, 117), Muscade.DofID(:X, 118), Muscade.DofID(:X, 119), Muscade.DofID(:X, 120)]), Muscade.Element(Muscade.EleID(1, 20), 1, 20, Muscade.NodID[Muscade.NodID(20), Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 115), Muscade.DofID(:X, 116), Muscade.DofID(:X, 117), Muscade.DofID(:X, 118), Muscade.DofID(:X, 119), Muscade.DofID(:X, 120), Muscade.DofID(:X, 121), Muscade.DofID(:X, 122), Muscade.DofID(:X, 123), Muscade.DofID(:X, 124), Muscade.DofID(:X, 125), Muscade.DofID(:X, 126)])], [Muscade.Element(Muscade.EleID(2, 1), 2, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 1), Muscade.DofID(:X, 127)]), Muscade.Element(Muscade.EleID(2, 2), 2, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 121), Muscade.DofID(:X, 133)])], [Muscade.Element(Muscade.EleID(3, 1), 3, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 2), Muscade.DofID(:X, 128)]), Muscade.Element(Muscade.EleID(3, 2), 3, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 122), Muscade.DofID(:X, 134)])], [Muscade.Element(Muscade.EleID(4, 1), 4, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 3), Muscade.DofID(:X, 129)]), Muscade.Element(Muscade.EleID(4, 2), 4, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 123), Muscade.DofID(:X, 135)])], [Muscade.Element(Muscade.EleID(5, 1), 5, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 4), Muscade.DofID(:X, 130)]), Muscade.Element(Muscade.EleID(5, 2), 5, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 124), Muscade.DofID(:X, 136)])], [Muscade.Element(Muscade.EleID(6, 1), 6, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 5), Muscade.DofID(:X, 131)]), Muscade.Element(Muscade.EleID(6, 2), 6, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 125), Muscade.DofID(:X, 137)])], [Muscade.Element(Muscade.EleID(7, 1), 7, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 6), Muscade.DofID(:X, 132)]), Muscade.Element(Muscade.EleID(7, 2), 7, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 126), Muscade.DofID(:X, 138)])], [Muscade.Element(Muscade.EleID(8, 1), 8, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 2)]), Muscade.Element(Muscade.EleID(8, 2), 8, 2, Muscade.NodID[Muscade.NodID(2)], Muscade.DofID[Muscade.DofID(:X, 8)]), Muscade.Element(Muscade.EleID(8, 3), 8, 3, Muscade.NodID[Muscade.NodID(3)], Muscade.DofID[Muscade.DofID(:X, 14)]), Muscade.Element(Muscade.EleID(8, 4), 8, 4, Muscade.NodID[Muscade.NodID(4)], Muscade.DofID[Muscade.DofID(:X, 20)]), Muscade.Element(Muscade.EleID(8, 5), 8, 5, Muscade.NodID[Muscade.NodID(5)], Muscade.DofID[Muscade.DofID(:X, 26)]), Muscade.Element(Muscade.EleID(8, 6), 8, 6, Muscade.NodID[Muscade.NodID(6)], Muscade.DofID[Muscade.DofID(:X, 32)]), Muscade.Element(Muscade.EleID(8, 7), 8, 7, Muscade.NodID[Muscade.NodID(7)], Muscade.DofID[Muscade.DofID(:X, 38)]), Muscade.Element(Muscade.EleID(8, 8), 8, 8, Muscade.NodID[Muscade.NodID(8)], Muscade.DofID[Muscade.DofID(:X, 44)]), Muscade.Element(Muscade.EleID(8, 9), 8, 9, Muscade.NodID[Muscade.NodID(9)], Muscade.DofID[Muscade.DofID(:X, 50)]), Muscade.Element(Muscade.EleID(8, 10), 8, 10, Muscade.NodID[Muscade.NodID(10)], Muscade.DofID[Muscade.DofID(:X, 56)])  …  Muscade.Element(Muscade.EleID(8, 12), 8, 12, Muscade.NodID[Muscade.NodID(12)], Muscade.DofID[Muscade.DofID(:X, 68)]), Muscade.Element(Muscade.EleID(8, 13), 8, 13, Muscade.NodID[Muscade.NodID(13)], Muscade.DofID[Muscade.DofID(:X, 74)]), Muscade.Element(Muscade.EleID(8, 14), 8, 14, Muscade.NodID[Muscade.NodID(14)], Muscade.DofID[Muscade.DofID(:X, 80)]), Muscade.Element(Muscade.EleID(8, 15), 8, 15, Muscade.NodID[Muscade.NodID(15)], Muscade.DofID[Muscade.DofID(:X, 86)]), Muscade.Element(Muscade.EleID(8, 16), 8, 16, Muscade.NodID[Muscade.NodID(16)], Muscade.DofID[Muscade.DofID(:X, 92)]), Muscade.Element(Muscade.EleID(8, 17), 8, 17, Muscade.NodID[Muscade.NodID(17)], Muscade.DofID[Muscade.DofID(:X, 98)]), Muscade.Element(Muscade.EleID(8, 18), 8, 18, Muscade.NodID[Muscade.NodID(18)], Muscade.DofID[Muscade.DofID(:X, 104)]), Muscade.Element(Muscade.EleID(8, 19), 8, 19, Muscade.NodID[Muscade.NodID(19)], Muscade.DofID[Muscade.DofID(:X, 110)]), Muscade.Element(Muscade.EleID(8, 20), 8, 20, Muscade.NodID[Muscade.NodID(20)], Muscade.DofID[Muscade.DofID(:X, 116)]), Muscade.Element(Muscade.EleID(8, 21), 8, 21, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 122)])]], (X = Muscade.Dof[Muscade.Dof(Muscade.DofID(:X, 1), Muscade.NodID(1), 1, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(2, 1)]), Muscade.Dof(Muscade.DofID(:X, 2), Muscade.NodID(1), 2, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(3, 1), Muscade.EleID(8, 1)]), Muscade.Dof(Muscade.DofID(:X, 3), Muscade.NodID(1), 3, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(4, 1)]), Muscade.Dof(Muscade.DofID(:X, 4), Muscade.NodID(1), 4, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(5, 1)]), Muscade.Dof(Muscade.DofID(:X, 5), Muscade.NodID(1), 5, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(6, 1)]), Muscade.Dof(Muscade.DofID(:X, 6), Muscade.NodID(1), 6, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(7, 1)]), Muscade.Dof(Muscade.DofID(:X, 7), Muscade.NodID(2), 1, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2)]), Muscade.Dof(Muscade.DofID(:X, 8), Muscade.NodID(2), 2, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2), Muscade.EleID(8, 2)]), Muscade.Dof(Muscade.DofID(:X, 9), Muscade.NodID(2), 3, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2)]), Muscade.Dof(Muscade.DofID(:X, 10), Muscade.NodID(2), 4, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2)])  …  Muscade.Dof(Muscade.DofID(:X, 129), Muscade.NodID(1), 9, Muscade.EleID[Muscade.EleID(4, 1)]), Muscade.Dof(Muscade.DofID(:X, 130), Muscade.NodID(1), 10, Muscade.EleID[Muscade.EleID(5, 1)]), Muscade.Dof(Muscade.DofID(:X, 131), Muscade.NodID(1), 11, Muscade.EleID[Muscade.EleID(6, 1)]), Muscade.Dof(Muscade.DofID(:X, 132), Muscade.NodID(1), 12, Muscade.EleID[Muscade.EleID(7, 1)]), Muscade.Dof(Muscade.DofID(:X, 133), Muscade.NodID(21), 7, Muscade.EleID[Muscade.EleID(2, 2)]), Muscade.Dof(Muscade.DofID(:X, 134), Muscade.NodID(21), 8, Muscade.EleID[Muscade.EleID(3, 2)]), Muscade.Dof(Muscade.DofID(:X, 135), Muscade.NodID(21), 9, Muscade.EleID[Muscade.EleID(4, 2)]), Muscade.Dof(Muscade.DofID(:X, 136), Muscade.NodID(21), 10, Muscade.EleID[Muscade.EleID(5, 2)]), Muscade.Dof(Muscade.DofID(:X, 137), Muscade.NodID(21), 11, Muscade.EleID[Muscade.EleID(6, 2)]), Muscade.Dof(Muscade.DofID(:X, 138), Muscade.NodID(21), 12, Muscade.EleID[Muscade.EleID(7, 2)])], U = Muscade.Dof[], A = Muscade.Dof[]), Vector{E} where E<:AbstractElement[Main.EulerBeam3D{Main.BeamCrossSection}[Main.EulerBeam3D{Main.BeamCrossSection}([0.25, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([0.75, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([1.25, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([1.75, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([2.25, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([2.75, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([3.25, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([3.75, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … 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StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([4.75, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, 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@NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}())  …  DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, 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86), Muscade.DofID(:X, 92), Muscade.DofID(:X, 98), Muscade.DofID(:X, 104), Muscade.DofID(:X, 110), Muscade.DofID(:X, 116), Muscade.DofID(:X, 122)]), Muscade.DofTyp(:X, :t3, 1.0, Muscade.DofID[Muscade.DofID(:X, 3), Muscade.DofID(:X, 9), Muscade.DofID(:X, 15), Muscade.DofID(:X, 21), Muscade.DofID(:X, 27), Muscade.DofID(:X, 33), Muscade.DofID(:X, 39), Muscade.DofID(:X, 45), Muscade.DofID(:X, 51), Muscade.DofID(:X, 57)  …  Muscade.DofID(:X, 69), Muscade.DofID(:X, 75), Muscade.DofID(:X, 81), Muscade.DofID(:X, 87), Muscade.DofID(:X, 93), Muscade.DofID(:X, 99), Muscade.DofID(:X, 105), Muscade.DofID(:X, 111), Muscade.DofID(:X, 117), Muscade.DofID(:X, 123)]), Muscade.DofTyp(:X, :r1, 1.0, Muscade.DofID[Muscade.DofID(:X, 4), Muscade.DofID(:X, 10), Muscade.DofID(:X, 16), Muscade.DofID(:X, 22), Muscade.DofID(:X, 28), Muscade.DofID(:X, 34), Muscade.DofID(:X, 40), Muscade.DofID(:X, 46), Muscade.DofID(:X, 52), Muscade.DofID(:X, 58)  …  Muscade.DofID(:X, 70), Muscade.DofID(:X, 76), Muscade.DofID(:X, 82), Muscade.DofID(:X, 88), Muscade.DofID(:X, 94), Muscade.DofID(:X, 100), Muscade.DofID(:X, 106), Muscade.DofID(:X, 112), Muscade.DofID(:X, 118), Muscade.DofID(:X, 124)]), Muscade.DofTyp(:X, :r2, 1.0, Muscade.DofID[Muscade.DofID(:X, 5), Muscade.DofID(:X, 11), Muscade.DofID(:X, 17), Muscade.DofID(:X, 23), Muscade.DofID(:X, 29), Muscade.DofID(:X, 35), Muscade.DofID(:X, 41), Muscade.DofID(:X, 47), Muscade.DofID(:X, 53), Muscade.DofID(:X, 59)  …  Muscade.DofID(:X, 71), Muscade.DofID(:X, 77), Muscade.DofID(:X, 83), Muscade.DofID(:X, 89), Muscade.DofID(:X, 95), Muscade.DofID(:X, 101), Muscade.DofID(:X, 107), Muscade.DofID(:X, 113), Muscade.DofID(:X, 119), Muscade.DofID(:X, 125)]), Muscade.DofTyp(:X, :r3, 1.0, Muscade.DofID[Muscade.DofID(:X, 6), Muscade.DofID(:X, 12), Muscade.DofID(:X, 18), Muscade.DofID(:X, 24), Muscade.DofID(:X, 30), Muscade.DofID(:X, 36), Muscade.DofID(:X, 42), Muscade.DofID(:X, 48), Muscade.DofID(:X, 54), Muscade.DofID(:X, 60)  …  Muscade.DofID(:X, 72), Muscade.DofID(:X, 78), Muscade.DofID(:X, 84), Muscade.DofID(:X, 90), Muscade.DofID(:X, 96), Muscade.DofID(:X, 102), Muscade.DofID(:X, 108), Muscade.DofID(:X, 114), Muscade.DofID(:X, 120), Muscade.DofID(:X, 126)]), Muscade.DofTyp(:X, :λt1, 1.0, Muscade.DofID[Muscade.DofID(:X, 127), Muscade.DofID(:X, 133)]), Muscade.DofTyp(:X, :λt2, 1.0, Muscade.DofID[Muscade.DofID(:X, 128), Muscade.DofID(:X, 134)]), Muscade.DofTyp(:X, :λt3, 1.0, Muscade.DofID[Muscade.DofID(:X, 129), Muscade.DofID(:X, 135)]), Muscade.DofTyp(:X, :λr1, 1.0, Muscade.DofID[Muscade.DofID(:X, 130), Muscade.DofID(:X, 136)]), Muscade.DofTyp(:X, :λr2, 1.0, Muscade.DofID[Muscade.DofID(:X, 131), Muscade.DofID(:X, 137)]), Muscade.DofTyp(:X, :λr3, 1.0, Muscade.DofID[Muscade.DofID(:X, 132), Muscade.DofID(:X, 138)])], 1.0, true), Muscade.Disassembler(Muscade.EletypDisassembler[Muscade.EletypDisassembler{12, 0, 0}(Muscade.XUA{Int64, 12, 0, 0}[Muscade.XUA{Int64, 12, 0, 0}([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], Int64[], Int64[])], Muscade.ΛXUA{Float64, 12, 0, 0}([1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([1, 127], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([121, 133], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([2, 128], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([122, 134], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([3, 129], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([123, 135], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([4, 130], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([124, 136], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([5, 131], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([125, 137], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([6, 132], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([126, 138], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{1, 0, 0}(Muscade.XUA{Int64, 1, 0, 0}[Muscade.XUA{Int64, 1, 0, 0}([2], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([8], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([14], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([20], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([26], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([32], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([38], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([44], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([50], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([56], Int64[], Int64[])  …  Muscade.XUA{Int64, 1, 0, 0}([68], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([74], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([80], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([86], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([92], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([98], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([104], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([110], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([116], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([122], Int64[], Int64[])], Muscade.ΛXUA{Float64, 1, 0, 0}([1.0], [1.0], Float64[], Float64[]))], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], Float64[], Float64[], [:t1, :t2, :t3, :r1, :r2, :r3, :t1, :t2, :t3, :r1  …  :λt3, :λr1, :λr2, :λr3, :λt1, :λt2, :λt3, :λr1, :λr2, :λr3], Symbol[], Symbol[]))
 Muscade.State{1, 1, 1, @NamedTuple{γ::Float64}}(1.0, ([0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],), ([0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.3835624314077514e-10, -8.953373023873682e-6, 0.0, 0.0  …  0.0, 0.0, 0.0, 79.16666666615272, 0.00022697116392453223, 50.0, 0.0, 0.0, 0.0, -79.16666666615274],), (Float64[],), Float64[], (γ = NaN,), Model(:TestModel, Node[Node(Muscade.NodID(1), [0.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 1), Muscade.DofID(:X, 2), Muscade.DofID(:X, 3), Muscade.DofID(:X, 4), Muscade.DofID(:X, 5), Muscade.DofID(:X, 6), Muscade.DofID(:X, 127), Muscade.DofID(:X, 128), Muscade.DofID(:X, 129), Muscade.DofID(:X, 130), Muscade.DofID(:X, 131), Muscade.DofID(:X, 132)], Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(2, 1), Muscade.EleID(3, 1), Muscade.EleID(4, 1), Muscade.EleID(5, 1), Muscade.EleID(6, 1), Muscade.EleID(7, 1), Muscade.EleID(8, 1)]), Node(Muscade.NodID(2), [0.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 7), Muscade.DofID(:X, 8), Muscade.DofID(:X, 9), Muscade.DofID(:X, 10), Muscade.DofID(:X, 11), Muscade.DofID(:X, 12)], Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2), Muscade.EleID(8, 2)]), Node(Muscade.NodID(3), [1.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 13), Muscade.DofID(:X, 14), Muscade.DofID(:X, 15), Muscade.DofID(:X, 16), Muscade.DofID(:X, 17), Muscade.DofID(:X, 18)], Muscade.EleID[Muscade.EleID(1, 2), Muscade.EleID(1, 3), Muscade.EleID(8, 3)]), Node(Muscade.NodID(4), [1.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 19), Muscade.DofID(:X, 20), Muscade.DofID(:X, 21), Muscade.DofID(:X, 22), Muscade.DofID(:X, 23), Muscade.DofID(:X, 24)], Muscade.EleID[Muscade.EleID(1, 3), Muscade.EleID(1, 4), Muscade.EleID(8, 4)]), Node(Muscade.NodID(5), [2.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 25), Muscade.DofID(:X, 26), Muscade.DofID(:X, 27), Muscade.DofID(:X, 28), Muscade.DofID(:X, 29), Muscade.DofID(:X, 30)], Muscade.EleID[Muscade.EleID(1, 4), Muscade.EleID(1, 5), Muscade.EleID(8, 5)]), Node(Muscade.NodID(6), [2.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 31), Muscade.DofID(:X, 32), Muscade.DofID(:X, 33), Muscade.DofID(:X, 34), Muscade.DofID(:X, 35), Muscade.DofID(:X, 36)], Muscade.EleID[Muscade.EleID(1, 5), Muscade.EleID(1, 6), Muscade.EleID(8, 6)]), Node(Muscade.NodID(7), [3.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 37), Muscade.DofID(:X, 38), Muscade.DofID(:X, 39), Muscade.DofID(:X, 40), Muscade.DofID(:X, 41), Muscade.DofID(:X, 42)], Muscade.EleID[Muscade.EleID(1, 6), Muscade.EleID(1, 7), Muscade.EleID(8, 7)]), Node(Muscade.NodID(8), [3.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 43), Muscade.DofID(:X, 44), Muscade.DofID(:X, 45), Muscade.DofID(:X, 46), Muscade.DofID(:X, 47), Muscade.DofID(:X, 48)], Muscade.EleID[Muscade.EleID(1, 7), Muscade.EleID(1, 8), Muscade.EleID(8, 8)]), Node(Muscade.NodID(9), [4.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 49), Muscade.DofID(:X, 50), Muscade.DofID(:X, 51), Muscade.DofID(:X, 52), Muscade.DofID(:X, 53), Muscade.DofID(:X, 54)], Muscade.EleID[Muscade.EleID(1, 8), Muscade.EleID(1, 9), Muscade.EleID(8, 9)]), Node(Muscade.NodID(10), [4.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 55), Muscade.DofID(:X, 56), Muscade.DofID(:X, 57), Muscade.DofID(:X, 58), Muscade.DofID(:X, 59), Muscade.DofID(:X, 60)], Muscade.EleID[Muscade.EleID(1, 9), Muscade.EleID(1, 10), Muscade.EleID(8, 10)])  …  Node(Muscade.NodID(12), [5.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 67), Muscade.DofID(:X, 68), Muscade.DofID(:X, 69), Muscade.DofID(:X, 70), Muscade.DofID(:X, 71), Muscade.DofID(:X, 72)], Muscade.EleID[Muscade.EleID(1, 11), Muscade.EleID(1, 12), Muscade.EleID(8, 12)]), Node(Muscade.NodID(13), [6.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 73), Muscade.DofID(:X, 74), Muscade.DofID(:X, 75), Muscade.DofID(:X, 76), Muscade.DofID(:X, 77), Muscade.DofID(:X, 78)], Muscade.EleID[Muscade.EleID(1, 12), Muscade.EleID(1, 13), Muscade.EleID(8, 13)]), Node(Muscade.NodID(14), [6.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 79), Muscade.DofID(:X, 80), Muscade.DofID(:X, 81), Muscade.DofID(:X, 82), Muscade.DofID(:X, 83), Muscade.DofID(:X, 84)], Muscade.EleID[Muscade.EleID(1, 13), Muscade.EleID(1, 14), Muscade.EleID(8, 14)]), Node(Muscade.NodID(15), [7.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 85), Muscade.DofID(:X, 86), Muscade.DofID(:X, 87), Muscade.DofID(:X, 88), Muscade.DofID(:X, 89), Muscade.DofID(:X, 90)], Muscade.EleID[Muscade.EleID(1, 14), Muscade.EleID(1, 15), Muscade.EleID(8, 15)]), Node(Muscade.NodID(16), [7.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 91), Muscade.DofID(:X, 92), Muscade.DofID(:X, 93), Muscade.DofID(:X, 94), Muscade.DofID(:X, 95), Muscade.DofID(:X, 96)], Muscade.EleID[Muscade.EleID(1, 15), Muscade.EleID(1, 16), Muscade.EleID(8, 16)]), Node(Muscade.NodID(17), [8.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 97), Muscade.DofID(:X, 98), Muscade.DofID(:X, 99), Muscade.DofID(:X, 100), Muscade.DofID(:X, 101), Muscade.DofID(:X, 102)], Muscade.EleID[Muscade.EleID(1, 16), Muscade.EleID(1, 17), Muscade.EleID(8, 17)]), Node(Muscade.NodID(18), [8.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 103), Muscade.DofID(:X, 104), Muscade.DofID(:X, 105), Muscade.DofID(:X, 106), Muscade.DofID(:X, 107), Muscade.DofID(:X, 108)], Muscade.EleID[Muscade.EleID(1, 17), Muscade.EleID(1, 18), Muscade.EleID(8, 18)]), Node(Muscade.NodID(19), [9.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 109), Muscade.DofID(:X, 110), Muscade.DofID(:X, 111), Muscade.DofID(:X, 112), Muscade.DofID(:X, 113), Muscade.DofID(:X, 114)], Muscade.EleID[Muscade.EleID(1, 18), Muscade.EleID(1, 19), Muscade.EleID(8, 19)]), Node(Muscade.NodID(20), [9.5, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 115), Muscade.DofID(:X, 116), Muscade.DofID(:X, 117), Muscade.DofID(:X, 118), Muscade.DofID(:X, 119), Muscade.DofID(:X, 120)], Muscade.EleID[Muscade.EleID(1, 19), Muscade.EleID(1, 20), Muscade.EleID(8, 20)]), Node(Muscade.NodID(21), [10.0, 0.0, 0.0], Muscade.DofID[Muscade.DofID(:X, 121), Muscade.DofID(:X, 122), Muscade.DofID(:X, 123), Muscade.DofID(:X, 124), Muscade.DofID(:X, 125), Muscade.DofID(:X, 126), Muscade.DofID(:X, 133), Muscade.DofID(:X, 134), Muscade.DofID(:X, 135), Muscade.DofID(:X, 136), Muscade.DofID(:X, 137), Muscade.DofID(:X, 138)], Muscade.EleID[Muscade.EleID(1, 20), Muscade.EleID(2, 2), Muscade.EleID(3, 2), Muscade.EleID(4, 2), Muscade.EleID(5, 2), Muscade.EleID(6, 2), Muscade.EleID(7, 2), Muscade.EleID(8, 21)])], Vector{Muscade.Element}[[Muscade.Element(Muscade.EleID(1, 1), 1, 1, Muscade.NodID[Muscade.NodID(1), Muscade.NodID(2)], Muscade.DofID[Muscade.DofID(:X, 1), Muscade.DofID(:X, 2), Muscade.DofID(:X, 3), Muscade.DofID(:X, 4), Muscade.DofID(:X, 5), Muscade.DofID(:X, 6), Muscade.DofID(:X, 7), Muscade.DofID(:X, 8), Muscade.DofID(:X, 9), Muscade.DofID(:X, 10), Muscade.DofID(:X, 11), Muscade.DofID(:X, 12)]), Muscade.Element(Muscade.EleID(1, 2), 1, 2, Muscade.NodID[Muscade.NodID(2), Muscade.NodID(3)], Muscade.DofID[Muscade.DofID(:X, 7), Muscade.DofID(:X, 8), Muscade.DofID(:X, 9), Muscade.DofID(:X, 10), Muscade.DofID(:X, 11), Muscade.DofID(:X, 12), Muscade.DofID(:X, 13), Muscade.DofID(:X, 14), Muscade.DofID(:X, 15), Muscade.DofID(:X, 16), Muscade.DofID(:X, 17), Muscade.DofID(:X, 18)]), Muscade.Element(Muscade.EleID(1, 3), 1, 3, Muscade.NodID[Muscade.NodID(3), Muscade.NodID(4)], Muscade.DofID[Muscade.DofID(:X, 13), Muscade.DofID(:X, 14), Muscade.DofID(:X, 15), Muscade.DofID(:X, 16), Muscade.DofID(:X, 17), Muscade.DofID(:X, 18), Muscade.DofID(:X, 19), Muscade.DofID(:X, 20), Muscade.DofID(:X, 21), Muscade.DofID(:X, 22), Muscade.DofID(:X, 23), Muscade.DofID(:X, 24)]), Muscade.Element(Muscade.EleID(1, 4), 1, 4, Muscade.NodID[Muscade.NodID(4), Muscade.NodID(5)], Muscade.DofID[Muscade.DofID(:X, 19), Muscade.DofID(:X, 20), Muscade.DofID(:X, 21), Muscade.DofID(:X, 22), Muscade.DofID(:X, 23), Muscade.DofID(:X, 24), Muscade.DofID(:X, 25), Muscade.DofID(:X, 26), Muscade.DofID(:X, 27), Muscade.DofID(:X, 28), Muscade.DofID(:X, 29), Muscade.DofID(:X, 30)]), Muscade.Element(Muscade.EleID(1, 5), 1, 5, Muscade.NodID[Muscade.NodID(5), Muscade.NodID(6)], Muscade.DofID[Muscade.DofID(:X, 25), Muscade.DofID(:X, 26), Muscade.DofID(:X, 27), Muscade.DofID(:X, 28), Muscade.DofID(:X, 29), Muscade.DofID(:X, 30), Muscade.DofID(:X, 31), Muscade.DofID(:X, 32), Muscade.DofID(:X, 33), Muscade.DofID(:X, 34), Muscade.DofID(:X, 35), Muscade.DofID(:X, 36)]), Muscade.Element(Muscade.EleID(1, 6), 1, 6, Muscade.NodID[Muscade.NodID(6), Muscade.NodID(7)], Muscade.DofID[Muscade.DofID(:X, 31), Muscade.DofID(:X, 32), Muscade.DofID(:X, 33), Muscade.DofID(:X, 34), Muscade.DofID(:X, 35), Muscade.DofID(:X, 36), Muscade.DofID(:X, 37), Muscade.DofID(:X, 38), Muscade.DofID(:X, 39), Muscade.DofID(:X, 40), Muscade.DofID(:X, 41), Muscade.DofID(:X, 42)]), Muscade.Element(Muscade.EleID(1, 7), 1, 7, Muscade.NodID[Muscade.NodID(7), Muscade.NodID(8)], Muscade.DofID[Muscade.DofID(:X, 37), Muscade.DofID(:X, 38), Muscade.DofID(:X, 39), Muscade.DofID(:X, 40), Muscade.DofID(:X, 41), Muscade.DofID(:X, 42), Muscade.DofID(:X, 43), Muscade.DofID(:X, 44), Muscade.DofID(:X, 45), Muscade.DofID(:X, 46), Muscade.DofID(:X, 47), Muscade.DofID(:X, 48)]), Muscade.Element(Muscade.EleID(1, 8), 1, 8, Muscade.NodID[Muscade.NodID(8), Muscade.NodID(9)], Muscade.DofID[Muscade.DofID(:X, 43), Muscade.DofID(:X, 44), Muscade.DofID(:X, 45), Muscade.DofID(:X, 46), Muscade.DofID(:X, 47), Muscade.DofID(:X, 48), Muscade.DofID(:X, 49), Muscade.DofID(:X, 50), Muscade.DofID(:X, 51), Muscade.DofID(:X, 52), Muscade.DofID(:X, 53), Muscade.DofID(:X, 54)]), Muscade.Element(Muscade.EleID(1, 9), 1, 9, Muscade.NodID[Muscade.NodID(9), Muscade.NodID(10)], Muscade.DofID[Muscade.DofID(:X, 49), Muscade.DofID(:X, 50), Muscade.DofID(:X, 51), Muscade.DofID(:X, 52), Muscade.DofID(:X, 53), Muscade.DofID(:X, 54), Muscade.DofID(:X, 55), Muscade.DofID(:X, 56), Muscade.DofID(:X, 57), Muscade.DofID(:X, 58), Muscade.DofID(:X, 59), Muscade.DofID(:X, 60)]), Muscade.Element(Muscade.EleID(1, 10), 1, 10, Muscade.NodID[Muscade.NodID(10), Muscade.NodID(11)], Muscade.DofID[Muscade.DofID(:X, 55), Muscade.DofID(:X, 56), Muscade.DofID(:X, 57), Muscade.DofID(:X, 58), Muscade.DofID(:X, 59), Muscade.DofID(:X, 60), Muscade.DofID(:X, 61), Muscade.DofID(:X, 62), Muscade.DofID(:X, 63), Muscade.DofID(:X, 64), Muscade.DofID(:X, 65), Muscade.DofID(:X, 66)]), Muscade.Element(Muscade.EleID(1, 11), 1, 11, Muscade.NodID[Muscade.NodID(11), Muscade.NodID(12)], Muscade.DofID[Muscade.DofID(:X, 61), Muscade.DofID(:X, 62), Muscade.DofID(:X, 63), Muscade.DofID(:X, 64), Muscade.DofID(:X, 65), Muscade.DofID(:X, 66), Muscade.DofID(:X, 67), Muscade.DofID(:X, 68), Muscade.DofID(:X, 69), Muscade.DofID(:X, 70), Muscade.DofID(:X, 71), Muscade.DofID(:X, 72)]), Muscade.Element(Muscade.EleID(1, 12), 1, 12, Muscade.NodID[Muscade.NodID(12), Muscade.NodID(13)], Muscade.DofID[Muscade.DofID(:X, 67), Muscade.DofID(:X, 68), Muscade.DofID(:X, 69), Muscade.DofID(:X, 70), Muscade.DofID(:X, 71), Muscade.DofID(:X, 72), Muscade.DofID(:X, 73), Muscade.DofID(:X, 74), Muscade.DofID(:X, 75), Muscade.DofID(:X, 76), Muscade.DofID(:X, 77), Muscade.DofID(:X, 78)]), Muscade.Element(Muscade.EleID(1, 13), 1, 13, Muscade.NodID[Muscade.NodID(13), Muscade.NodID(14)], Muscade.DofID[Muscade.DofID(:X, 73), Muscade.DofID(:X, 74), Muscade.DofID(:X, 75), Muscade.DofID(:X, 76), Muscade.DofID(:X, 77), Muscade.DofID(:X, 78), Muscade.DofID(:X, 79), Muscade.DofID(:X, 80), Muscade.DofID(:X, 81), Muscade.DofID(:X, 82), Muscade.DofID(:X, 83), Muscade.DofID(:X, 84)]), Muscade.Element(Muscade.EleID(1, 14), 1, 14, Muscade.NodID[Muscade.NodID(14), Muscade.NodID(15)], Muscade.DofID[Muscade.DofID(:X, 79), Muscade.DofID(:X, 80), Muscade.DofID(:X, 81), Muscade.DofID(:X, 82), Muscade.DofID(:X, 83), Muscade.DofID(:X, 84), Muscade.DofID(:X, 85), Muscade.DofID(:X, 86), Muscade.DofID(:X, 87), Muscade.DofID(:X, 88), Muscade.DofID(:X, 89), Muscade.DofID(:X, 90)]), Muscade.Element(Muscade.EleID(1, 15), 1, 15, Muscade.NodID[Muscade.NodID(15), Muscade.NodID(16)], Muscade.DofID[Muscade.DofID(:X, 85), Muscade.DofID(:X, 86), Muscade.DofID(:X, 87), Muscade.DofID(:X, 88), Muscade.DofID(:X, 89), Muscade.DofID(:X, 90), Muscade.DofID(:X, 91), Muscade.DofID(:X, 92), Muscade.DofID(:X, 93), Muscade.DofID(:X, 94), Muscade.DofID(:X, 95), Muscade.DofID(:X, 96)]), Muscade.Element(Muscade.EleID(1, 16), 1, 16, Muscade.NodID[Muscade.NodID(16), Muscade.NodID(17)], Muscade.DofID[Muscade.DofID(:X, 91), Muscade.DofID(:X, 92), Muscade.DofID(:X, 93), Muscade.DofID(:X, 94), Muscade.DofID(:X, 95), Muscade.DofID(:X, 96), Muscade.DofID(:X, 97), Muscade.DofID(:X, 98), Muscade.DofID(:X, 99), Muscade.DofID(:X, 100), Muscade.DofID(:X, 101), Muscade.DofID(:X, 102)]), Muscade.Element(Muscade.EleID(1, 17), 1, 17, Muscade.NodID[Muscade.NodID(17), Muscade.NodID(18)], Muscade.DofID[Muscade.DofID(:X, 97), Muscade.DofID(:X, 98), Muscade.DofID(:X, 99), Muscade.DofID(:X, 100), Muscade.DofID(:X, 101), Muscade.DofID(:X, 102), Muscade.DofID(:X, 103), Muscade.DofID(:X, 104), Muscade.DofID(:X, 105), Muscade.DofID(:X, 106), Muscade.DofID(:X, 107), Muscade.DofID(:X, 108)]), Muscade.Element(Muscade.EleID(1, 18), 1, 18, Muscade.NodID[Muscade.NodID(18), Muscade.NodID(19)], Muscade.DofID[Muscade.DofID(:X, 103), Muscade.DofID(:X, 104), Muscade.DofID(:X, 105), Muscade.DofID(:X, 106), Muscade.DofID(:X, 107), Muscade.DofID(:X, 108), Muscade.DofID(:X, 109), Muscade.DofID(:X, 110), Muscade.DofID(:X, 111), Muscade.DofID(:X, 112), Muscade.DofID(:X, 113), Muscade.DofID(:X, 114)]), Muscade.Element(Muscade.EleID(1, 19), 1, 19, Muscade.NodID[Muscade.NodID(19), Muscade.NodID(20)], Muscade.DofID[Muscade.DofID(:X, 109), Muscade.DofID(:X, 110), Muscade.DofID(:X, 111), Muscade.DofID(:X, 112), Muscade.DofID(:X, 113), Muscade.DofID(:X, 114), Muscade.DofID(:X, 115), Muscade.DofID(:X, 116), Muscade.DofID(:X, 117), Muscade.DofID(:X, 118), Muscade.DofID(:X, 119), Muscade.DofID(:X, 120)]), Muscade.Element(Muscade.EleID(1, 20), 1, 20, Muscade.NodID[Muscade.NodID(20), Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 115), Muscade.DofID(:X, 116), Muscade.DofID(:X, 117), Muscade.DofID(:X, 118), Muscade.DofID(:X, 119), Muscade.DofID(:X, 120), Muscade.DofID(:X, 121), Muscade.DofID(:X, 122), Muscade.DofID(:X, 123), Muscade.DofID(:X, 124), Muscade.DofID(:X, 125), Muscade.DofID(:X, 126)])], [Muscade.Element(Muscade.EleID(2, 1), 2, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 1), Muscade.DofID(:X, 127)]), Muscade.Element(Muscade.EleID(2, 2), 2, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 121), Muscade.DofID(:X, 133)])], [Muscade.Element(Muscade.EleID(3, 1), 3, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 2), Muscade.DofID(:X, 128)]), Muscade.Element(Muscade.EleID(3, 2), 3, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 122), Muscade.DofID(:X, 134)])], [Muscade.Element(Muscade.EleID(4, 1), 4, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 3), Muscade.DofID(:X, 129)]), Muscade.Element(Muscade.EleID(4, 2), 4, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 123), Muscade.DofID(:X, 135)])], [Muscade.Element(Muscade.EleID(5, 1), 5, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 4), Muscade.DofID(:X, 130)]), Muscade.Element(Muscade.EleID(5, 2), 5, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 124), Muscade.DofID(:X, 136)])], [Muscade.Element(Muscade.EleID(6, 1), 6, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 5), Muscade.DofID(:X, 131)]), Muscade.Element(Muscade.EleID(6, 2), 6, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 125), Muscade.DofID(:X, 137)])], [Muscade.Element(Muscade.EleID(7, 1), 7, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 6), Muscade.DofID(:X, 132)]), Muscade.Element(Muscade.EleID(7, 2), 7, 2, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 126), Muscade.DofID(:X, 138)])], [Muscade.Element(Muscade.EleID(8, 1), 8, 1, Muscade.NodID[Muscade.NodID(1)], Muscade.DofID[Muscade.DofID(:X, 2)]), Muscade.Element(Muscade.EleID(8, 2), 8, 2, Muscade.NodID[Muscade.NodID(2)], Muscade.DofID[Muscade.DofID(:X, 8)]), Muscade.Element(Muscade.EleID(8, 3), 8, 3, Muscade.NodID[Muscade.NodID(3)], Muscade.DofID[Muscade.DofID(:X, 14)]), Muscade.Element(Muscade.EleID(8, 4), 8, 4, Muscade.NodID[Muscade.NodID(4)], Muscade.DofID[Muscade.DofID(:X, 20)]), Muscade.Element(Muscade.EleID(8, 5), 8, 5, Muscade.NodID[Muscade.NodID(5)], Muscade.DofID[Muscade.DofID(:X, 26)]), Muscade.Element(Muscade.EleID(8, 6), 8, 6, Muscade.NodID[Muscade.NodID(6)], Muscade.DofID[Muscade.DofID(:X, 32)]), Muscade.Element(Muscade.EleID(8, 7), 8, 7, Muscade.NodID[Muscade.NodID(7)], Muscade.DofID[Muscade.DofID(:X, 38)]), Muscade.Element(Muscade.EleID(8, 8), 8, 8, Muscade.NodID[Muscade.NodID(8)], Muscade.DofID[Muscade.DofID(:X, 44)]), Muscade.Element(Muscade.EleID(8, 9), 8, 9, Muscade.NodID[Muscade.NodID(9)], Muscade.DofID[Muscade.DofID(:X, 50)]), Muscade.Element(Muscade.EleID(8, 10), 8, 10, Muscade.NodID[Muscade.NodID(10)], Muscade.DofID[Muscade.DofID(:X, 56)])  …  Muscade.Element(Muscade.EleID(8, 12), 8, 12, Muscade.NodID[Muscade.NodID(12)], Muscade.DofID[Muscade.DofID(:X, 68)]), Muscade.Element(Muscade.EleID(8, 13), 8, 13, Muscade.NodID[Muscade.NodID(13)], Muscade.DofID[Muscade.DofID(:X, 74)]), Muscade.Element(Muscade.EleID(8, 14), 8, 14, Muscade.NodID[Muscade.NodID(14)], Muscade.DofID[Muscade.DofID(:X, 80)]), Muscade.Element(Muscade.EleID(8, 15), 8, 15, Muscade.NodID[Muscade.NodID(15)], Muscade.DofID[Muscade.DofID(:X, 86)]), Muscade.Element(Muscade.EleID(8, 16), 8, 16, Muscade.NodID[Muscade.NodID(16)], Muscade.DofID[Muscade.DofID(:X, 92)]), Muscade.Element(Muscade.EleID(8, 17), 8, 17, Muscade.NodID[Muscade.NodID(17)], Muscade.DofID[Muscade.DofID(:X, 98)]), Muscade.Element(Muscade.EleID(8, 18), 8, 18, Muscade.NodID[Muscade.NodID(18)], Muscade.DofID[Muscade.DofID(:X, 104)]), Muscade.Element(Muscade.EleID(8, 19), 8, 19, Muscade.NodID[Muscade.NodID(19)], Muscade.DofID[Muscade.DofID(:X, 110)]), Muscade.Element(Muscade.EleID(8, 20), 8, 20, Muscade.NodID[Muscade.NodID(20)], Muscade.DofID[Muscade.DofID(:X, 116)]), Muscade.Element(Muscade.EleID(8, 21), 8, 21, Muscade.NodID[Muscade.NodID(21)], Muscade.DofID[Muscade.DofID(:X, 122)])]], (X = Muscade.Dof[Muscade.Dof(Muscade.DofID(:X, 1), Muscade.NodID(1), 1, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(2, 1)]), Muscade.Dof(Muscade.DofID(:X, 2), Muscade.NodID(1), 2, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(3, 1), Muscade.EleID(8, 1)]), Muscade.Dof(Muscade.DofID(:X, 3), Muscade.NodID(1), 3, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(4, 1)]), Muscade.Dof(Muscade.DofID(:X, 4), Muscade.NodID(1), 4, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(5, 1)]), Muscade.Dof(Muscade.DofID(:X, 5), Muscade.NodID(1), 5, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(6, 1)]), Muscade.Dof(Muscade.DofID(:X, 6), Muscade.NodID(1), 6, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(7, 1)]), Muscade.Dof(Muscade.DofID(:X, 7), Muscade.NodID(2), 1, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2)]), Muscade.Dof(Muscade.DofID(:X, 8), Muscade.NodID(2), 2, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2), Muscade.EleID(8, 2)]), Muscade.Dof(Muscade.DofID(:X, 9), Muscade.NodID(2), 3, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2)]), Muscade.Dof(Muscade.DofID(:X, 10), Muscade.NodID(2), 4, Muscade.EleID[Muscade.EleID(1, 1), Muscade.EleID(1, 2)])  …  Muscade.Dof(Muscade.DofID(:X, 129), Muscade.NodID(1), 9, Muscade.EleID[Muscade.EleID(4, 1)]), Muscade.Dof(Muscade.DofID(:X, 130), Muscade.NodID(1), 10, Muscade.EleID[Muscade.EleID(5, 1)]), Muscade.Dof(Muscade.DofID(:X, 131), Muscade.NodID(1), 11, Muscade.EleID[Muscade.EleID(6, 1)]), Muscade.Dof(Muscade.DofID(:X, 132), Muscade.NodID(1), 12, Muscade.EleID[Muscade.EleID(7, 1)]), Muscade.Dof(Muscade.DofID(:X, 133), Muscade.NodID(21), 7, Muscade.EleID[Muscade.EleID(2, 2)]), Muscade.Dof(Muscade.DofID(:X, 134), Muscade.NodID(21), 8, Muscade.EleID[Muscade.EleID(3, 2)]), Muscade.Dof(Muscade.DofID(:X, 135), Muscade.NodID(21), 9, Muscade.EleID[Muscade.EleID(4, 2)]), Muscade.Dof(Muscade.DofID(:X, 136), Muscade.NodID(21), 10, Muscade.EleID[Muscade.EleID(5, 2)]), Muscade.Dof(Muscade.DofID(:X, 137), Muscade.NodID(21), 11, Muscade.EleID[Muscade.EleID(6, 2)]), Muscade.Dof(Muscade.DofID(:X, 138), Muscade.NodID(21), 12, Muscade.EleID[Muscade.EleID(7, 2)])], U = Muscade.Dof[], A = Muscade.Dof[]), Vector{E} where E<:AbstractElement[Main.EulerBeam3D{Main.BeamCrossSection}[Main.EulerBeam3D{Main.BeamCrossSection}([0.25, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([0.75, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([1.25, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([1.75, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([2.25, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 -1.4641016151377553; 0.0 0.0 … 1.4641016151377553 0.0], [0.0 0.0 … 0.0 0.0; 0.0 13.856406460551021 … 0.0 5.464101615137755; 0.0 0.0 … -5.464101615137755 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.7886751345948129 0.0 … 0.0 0.0; 0.0 0.8849001794597506 … 0.0 -0.03522081090086451; 0.0 0.0 … 0.03522081090086451 0.0], [0.21132486540518708 0.0 … 0.0 0.0; 0.0 0.11509982054024942 … 0.0 -0.13144585576580214; 0.0 0.0 … 0.13144585576580214 0.0]], [0.25, 0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0)), Main.EulerBeam3D{Main.BeamCrossSection}([2.75, 0.0, 0.0], [1.0 0.0 0.0; 0.0 1.0 0.0; 0.0 0.0 1.0], [-0.2886751345948129, 0.2886751345948129], [-0.5, 0.5], [0.5, 0.0, 0.0], [0.5, 0.0, 0.0], StaticArraysCore.SVector{12, Float64}[[-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0]], StaticArraysCore.SMatrix{3, 12, Float64, 36}[[0.0 0.0 … 0.0 0.0; 0.0 -13.856406460551021 … 0.0 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0.25], Main.BeamCrossSection(1.0e6, 1.0e6, 1000.0))], [DofConstraint{:X, 1, 0, 0, (1,), (:t1,), (), (), (), (), 1, :λt1, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal), DofConstraint{:X, 1, 0, 0, (1,), (:t1,), (), (), (), (), 1, :λt1, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal)], [DofConstraint{:X, 1, 0, 0, (1,), (:t2,), (), (), (), (), 1, :λt2, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal), DofConstraint{:X, 1, 0, 0, (1,), (:t2,), (), (), (), (), 1, :λt2, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal)], [DofConstraint{:X, 1, 0, 0, (1,), (:t3,), (), (), (), (), 1, :λt3, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal), DofConstraint{:X, 1, 0, 0, (1,), (:t3,), (), (), (), (), 1, :λt3, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal)], [DofConstraint{:X, 1, 0, 0, (1,), (:r1,), (), (), (), (), 1, :λr1, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal), DofConstraint{:X, 1, 0, 0, (1,), (:r1,), (), (), (), (), 1, :λr1, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal)], [DofConstraint{:X, 1, 0, 0, (1,), (:r2,), (), (), (), (), 1, :λr2, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal), DofConstraint{:X, 1, 0, 0, (1,), (:r2,), (), (), (), (), 1, :λr2, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal)], [DofConstraint{:X, 1, 0, 0, (1,), (:r3,), (), (), (), (), 1, :λr3, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal), DofConstraint{:X, 1, 0, 0, (1,), (:r3,), (), (), (), (), 1, :λr3, Muscade.var"#gap#128", Tuple{}, typeof(equal)}(Muscade.var"#gap#128"(), (), Muscade.equal)], [DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}())  …  DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}()), DofLoad{:t2, Main.var"#42#44", Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}(Main.var"#42#44"(), Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}())]], Muscade.DofTyp[Muscade.DofTyp(:X, :t1, 1.0, Muscade.DofID[Muscade.DofID(:X, 1), Muscade.DofID(:X, 7), Muscade.DofID(:X, 13), Muscade.DofID(:X, 19), Muscade.DofID(:X, 25), Muscade.DofID(:X, 31), Muscade.DofID(:X, 37), Muscade.DofID(:X, 43), Muscade.DofID(:X, 49), Muscade.DofID(:X, 55)  …  Muscade.DofID(:X, 67), Muscade.DofID(:X, 73), Muscade.DofID(:X, 79), Muscade.DofID(:X, 85), Muscade.DofID(:X, 91), Muscade.DofID(:X, 97), Muscade.DofID(:X, 103), Muscade.DofID(:X, 109), Muscade.DofID(:X, 115), Muscade.DofID(:X, 121)]), Muscade.DofTyp(:X, :t2, 1.0, Muscade.DofID[Muscade.DofID(:X, 2), Muscade.DofID(:X, 8), Muscade.DofID(:X, 14), Muscade.DofID(:X, 20), Muscade.DofID(:X, 26), Muscade.DofID(:X, 32), Muscade.DofID(:X, 38), Muscade.DofID(:X, 44), Muscade.DofID(:X, 50), Muscade.DofID(:X, 56)  …  Muscade.DofID(:X, 68), Muscade.DofID(:X, 74), Muscade.DofID(:X, 80), Muscade.DofID(:X, 86), Muscade.DofID(:X, 92), Muscade.DofID(:X, 98), Muscade.DofID(:X, 104), Muscade.DofID(:X, 110), Muscade.DofID(:X, 116), Muscade.DofID(:X, 122)]), Muscade.DofTyp(:X, :t3, 1.0, Muscade.DofID[Muscade.DofID(:X, 3), Muscade.DofID(:X, 9), Muscade.DofID(:X, 15), Muscade.DofID(:X, 21), Muscade.DofID(:X, 27), Muscade.DofID(:X, 33), Muscade.DofID(:X, 39), Muscade.DofID(:X, 45), Muscade.DofID(:X, 51), Muscade.DofID(:X, 57)  …  Muscade.DofID(:X, 69), Muscade.DofID(:X, 75), Muscade.DofID(:X, 81), Muscade.DofID(:X, 87), Muscade.DofID(:X, 93), Muscade.DofID(:X, 99), Muscade.DofID(:X, 105), Muscade.DofID(:X, 111), Muscade.DofID(:X, 117), Muscade.DofID(:X, 123)]), Muscade.DofTyp(:X, :r1, 1.0, Muscade.DofID[Muscade.DofID(:X, 4), Muscade.DofID(:X, 10), Muscade.DofID(:X, 16), Muscade.DofID(:X, 22), Muscade.DofID(:X, 28), Muscade.DofID(:X, 34), Muscade.DofID(:X, 40), Muscade.DofID(:X, 46), Muscade.DofID(:X, 52), Muscade.DofID(:X, 58)  …  Muscade.DofID(:X, 70), Muscade.DofID(:X, 76), Muscade.DofID(:X, 82), Muscade.DofID(:X, 88), Muscade.DofID(:X, 94), Muscade.DofID(:X, 100), Muscade.DofID(:X, 106), Muscade.DofID(:X, 112), Muscade.DofID(:X, 118), Muscade.DofID(:X, 124)]), Muscade.DofTyp(:X, :r2, 1.0, Muscade.DofID[Muscade.DofID(:X, 5), Muscade.DofID(:X, 11), Muscade.DofID(:X, 17), Muscade.DofID(:X, 23), Muscade.DofID(:X, 29), Muscade.DofID(:X, 35), Muscade.DofID(:X, 41), Muscade.DofID(:X, 47), Muscade.DofID(:X, 53), Muscade.DofID(:X, 59)  …  Muscade.DofID(:X, 71), Muscade.DofID(:X, 77), Muscade.DofID(:X, 83), Muscade.DofID(:X, 89), Muscade.DofID(:X, 95), Muscade.DofID(:X, 101), Muscade.DofID(:X, 107), Muscade.DofID(:X, 113), Muscade.DofID(:X, 119), Muscade.DofID(:X, 125)]), Muscade.DofTyp(:X, :r3, 1.0, Muscade.DofID[Muscade.DofID(:X, 6), Muscade.DofID(:X, 12), Muscade.DofID(:X, 18), Muscade.DofID(:X, 24), Muscade.DofID(:X, 30), Muscade.DofID(:X, 36), Muscade.DofID(:X, 42), Muscade.DofID(:X, 48), Muscade.DofID(:X, 54), Muscade.DofID(:X, 60)  …  Muscade.DofID(:X, 72), Muscade.DofID(:X, 78), Muscade.DofID(:X, 84), Muscade.DofID(:X, 90), Muscade.DofID(:X, 96), Muscade.DofID(:X, 102), Muscade.DofID(:X, 108), Muscade.DofID(:X, 114), Muscade.DofID(:X, 120), Muscade.DofID(:X, 126)]), Muscade.DofTyp(:X, :λt1, 1.0, Muscade.DofID[Muscade.DofID(:X, 127), Muscade.DofID(:X, 133)]), Muscade.DofTyp(:X, :λt2, 1.0, Muscade.DofID[Muscade.DofID(:X, 128), Muscade.DofID(:X, 134)]), Muscade.DofTyp(:X, :λt3, 1.0, Muscade.DofID[Muscade.DofID(:X, 129), Muscade.DofID(:X, 135)]), Muscade.DofTyp(:X, :λr1, 1.0, Muscade.DofID[Muscade.DofID(:X, 130), Muscade.DofID(:X, 136)]), Muscade.DofTyp(:X, :λr2, 1.0, Muscade.DofID[Muscade.DofID(:X, 131), Muscade.DofID(:X, 137)]), Muscade.DofTyp(:X, :λr3, 1.0, Muscade.DofID[Muscade.DofID(:X, 132), Muscade.DofID(:X, 138)])], 1.0, true), Muscade.Disassembler(Muscade.EletypDisassembler[Muscade.EletypDisassembler{12, 0, 0}(Muscade.XUA{Int64, 12, 0, 0}[Muscade.XUA{Int64, 12, 0, 0}([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120], Int64[], Int64[]), Muscade.XUA{Int64, 12, 0, 0}([115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], Int64[], Int64[])], Muscade.ΛXUA{Float64, 12, 0, 0}([1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([1, 127], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([121, 133], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([2, 128], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([122, 134], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([3, 129], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([123, 135], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([4, 130], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([124, 136], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([5, 131], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([125, 137], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{2, 0, 0}(Muscade.XUA{Int64, 2, 0, 0}[Muscade.XUA{Int64, 2, 0, 0}([6, 132], Int64[], Int64[]), Muscade.XUA{Int64, 2, 0, 0}([126, 138], Int64[], Int64[])], Muscade.ΛXUA{Float64, 2, 0, 0}([1.0, 1.0], [1.0, 1.0], Float64[], Float64[])), Muscade.EletypDisassembler{1, 0, 0}(Muscade.XUA{Int64, 1, 0, 0}[Muscade.XUA{Int64, 1, 0, 0}([2], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([8], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([14], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([20], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([26], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([32], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([38], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([44], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([50], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([56], Int64[], Int64[])  …  Muscade.XUA{Int64, 1, 0, 0}([68], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([74], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([80], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([86], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([92], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([98], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([104], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([110], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([116], Int64[], Int64[]), Muscade.XUA{Int64, 1, 0, 0}([122], Int64[], Int64[])], Muscade.ΛXUA{Float64, 1, 0, 0}([1.0], [1.0], Float64[], Float64[]))], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], Float64[], Float64[], [:t1, :t2, :t3, :r1, :r2, :r3, :t1, :t2, :t3, :r1  …  :λt3, :λr1, :λr2, :λr3, :λt1, :λt2, :λt3, :λr1, :λr2, :λr3], Symbol[], Symbol[]))

Fetch results

w_ = getdof(state[2];field=:t2,nodID=nodid[1:nnod])
θ_ = getdof(state[2];field=:r3,nodID=nodid[1:nnod])
req = @request gp(resultants(m))
out = getresult(state[2],req,eleid)
Mgp1_ = [ out[idxEl].gp[1][:resultants][:m][2] for idxEl ∈ 1:nel]
Mgp2_ = [ out[idxEl].gp[2][:resultants][:m][2] for idxEl ∈ 1:nel]
xgp1 = (L/nel)*((0.5-1.0/(2*sqrt(3))):1:nel)
xgp2 = (L/nel)*((0.5+1.0/(2*sqrt(3))):1:nel)
req = @request gp(κ)
out = getresult(state[2],req,eleid)
κgp1_ = [ out[idxEl].gp[1][:κ][2] for idxEl ∈ 1:nel]
κgp2_ = [ out[idxEl].gp[2][:κ][2] for idxEl ∈ 1:nel];

Display results

fig      = Figure(size = (1000,1000))
ax = Axis(fig[1,1], ylabel="Deflection w [m]",        yminorgridvisible = true,xminorgridvisible = true,xticks = (0:L/nel:L))
lines!(fig[1,1], x,            -w,                       label="Analytical solution")
scatter!(fig[1,1],(0:L/nel:L),  w_[:],                  label="Muscade/beam");
axislegend()
ax=Axis(fig[2,1], ylabel="Rotation θ [deg]",        yminorgridvisible = true,xminorgridvisible = true,xticks = (0:L/nel:L))
lines!(fig[2,1],x,            θ*180/pi,                 label="Analytical solution")
scatter!(fig[2,1],(0:L/nel:L),  θ_[:]*180/pi,           label="Muscade/beam");
ax=Axis(fig[3,1], ylabel="Curvature κ [m⁻¹]",       yminorgridvisible = true,xminorgridvisible = true,xticks = (0:L/nel:L))
lines!(fig[3,1],x,            κ,                        label="Analytical solution")
scatter!(fig[3,1],[xgp1;xgp2],  [κgp1_;κgp2_],          label="Muscade/beam");
ax=Axis(fig[4,1], ylabel="Bending moment M [Nm]",   yminorgridvisible = true,xminorgridvisible = true,xticks = (0:L/nel:L), xlabel="Position on beam [m]")
lines!(fig[4,1],x,            M,                        label="Analytical solution")
scatter!(fig[4,1],[xgp1;xgp2],  [Mgp1_;Mgp2_],          label="Muscade/beam");

currentDir = @__DIR__
if occursin("build", currentDir)
    save(normpath(joinpath(currentDir,"..","src","assets","beam.png")),fig)
elseif occursin("examples", currentDir)
    save(normpath(joinpath(currentDir,"beam.png")),fig)
end

Result

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