1. Reference problem

1.1. Geometry

Beam length:

\(L=1m\)

Rectangular section:

	Initial Straight Section		Final Straight Section
	Case 1	Case 2
height:	\({h}_{o}=0.04m\)	\(=0.04m\)	\({h}_{1}=0.01m\)
width:	\({b}_{o}=0.04m\)	\(=0.05m\)	\({b}_{1}=0.01m\)
do:	\({A}_{o}\mathrm{=}1.6{10}^{\mathrm{-}3}{m}^{2}\)	\(={2.10}^{-3}{m}^{2}\)	\({A}_{1}={1.10}^{-4}{m}^{2}\)
inertia:	\({\mathrm{lz}}_{o}=2.1333{10}^{-7}{m}^{4}\)	\(=2.6667{10}^{-7}{m}^{4}\)	\({\mathrm{Iz}}_{\mathrm{1 }}=8.3333{10}^{-10}{m}^{4}\)

Point coordinates ( \(m\) ) :

	\(A\)	\(B\)
\(x\)
\(y\)
\(z\)

1.2. Material properties

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

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

1.3. Boundary conditions and loads

Point \(A\): recessed \(u=v=0\) \(\theta =0.\)