1. Reference problem#

1.1. Geometry#

B

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The geometric characteristics of the beam constituting the mechanical model are as follows:

Length: \(L=0.5m\)

Rectangular straight section:

Height:

\(h=0.005m\)

Width:

\(b=0.050m\)

Area:

\(A=2.5{10}^{-4}{m}^{2}\)

Moment of inertia:

\({I}_{z}=5.208{10}^{-10}{m}^{4}\)

The coordinates (in meters) of the characteristic points of all the beams are:

\(A\)

\(B\)

\(C\)

\(x\)

0.5

\(y\)

1.2. Material properties#

The properties of the material from which the beam is made are:

\(E=2.1{10}^{11}\mathrm{Pa}\)

\(\nu =0.3\)

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

1.3. Boundary conditions and loads#

The boundary condition that characterizes this problem is the embedment of point \(A\) and is written:

\(u=v=0.\), \(\theta =0\).