1. Reference problem#

1.1. Geometry#

_images/10000000000001F3000000883E9EEE9EE5407E4B.png

Figure 1.1 Problem geometry and loading system

Square side section beam: \(c=0.014\text{m}\)

Beam length: \(L=0.783\text{m}\)

1.2. Material properties#

Young’s module

\(E=6.07\times {10}^{10}\text{Pa}\)

Poisson’s Ratio

\(\nu =0\)

Density

\(\rho =2400.0{\text{kg.m}}^{-3}\)

Spring stiffness

\(k=18000{\text{N.m}}^{-1}\)

1.3. Boundary conditions and loads#

Imposed displacement:

At point \(A\)

\(\mathit{DX}=0\), \(\mathit{DY}=0\)

At point \(B\)

Case 1: free end Case 2: elastic support