1. Reference problem#

1.1. Geometry#

_images/100019CA000019D700001280360C44E991CE88DA.svg

Length: \(\mathrm{L1}=\mathrm{L2}=5m\)

Straight section (profiled in \(I\)): \(\mathrm{IPE}200\)

air

\(A=2.872{10}^{-3}{m}^{2}\)

moment of inertia

\(\mathrm{Iz}=1.943{10}^{-5}{m}^{4}\)

(other beam parameters not used)

Coordinates of points (in meters):

\(A\)

\(B=H\)

\(C\)

\(D\)

\(E=I\)

\(F\)

\(G\)

\(x\)

—2.5

—2.5

—2.5

—2.5

2.5

2.5

2.5

0

\(y\)

—2.5

2.5

—2.5

2.5

\(z\)

1.2. Material properties#

\(E={2.10}^{11}\mathrm{Pa}\)

\(\rho =7800.\mathrm{kg}/{m}^{3}\)

1.3. Boundary conditions and loads#

Points \(A,C,D,F\): (\(u=v=w=0.\))

Points \(B,E\): swivel joint (continuity of \(u,v,w\))

_images/Object_3.svg

1.4. Initial conditions#

A \(t=0\), structure at rest.