1. Reference problem#
1.1. Geometry#
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):
\(A\) |
|
|
|
|
|
|
|||
\(x\) |
—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 \(u,v,w\))
1.4. Initial conditions#
A \(t=0\), structure at rest.