1. Reference problem#

1.1. Geometry#

_images/10005E1A000069BB000028B900FFBE41E9C2A75E.svg

Beam length:

\(L=1m\)

Rectangular section:

Initial Straight Section

Final Straight Section

height:

\({h}_{o}=0.04m\)

\({h}_{1}=0.01m\)

width:

\({b}_{o}=0.04m\)

\({b}_{1}=0.01m\)

do:

\({A}_{o}=1.6{10}^{-3}{m}^{2}\)

\({A}_{1}={1.10}^{-4}{m}^{2}\)

inertia:

\({\mathrm{Iz}}_{o}=2.1333{10}^{-7}{m}^{4}\)

\({\mathrm{Iz}}_{\mathrm{1 }}=8.3333{10}^{-10}{m}^{4}\)

Point coordinates (in meters)

\(A\)

\(B\)

\(x\)

\(y\)

\(z\)

1.2. Properties of steel#

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

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

1.3. Boundary conditions and loads#

Point \(A\): built-in \(u=v=z=0\)