Transverse loading

1 min read • 152 words

In this case the cantilever beam is subjected only to a transverse force of $\boldsymbol{F} = 10 \, \mathbf{E}_2$ in a single step.

End Force

In this case the cantilever beam is subjected only to a transverse force of $\boldsymbol{F} = 10 \, \mathbf{E}_2$ in a single step. The simulation uses the following geometric and material properties from the literature:

\begin{array}{lr} L =& 1 \\ E =& 10 \\ \hphantom{.} % G = GAv/A \end{array} \qquad \begin{array}{lr} A =& 10^7 \\ I =& 1 \\ J =& 10^7 \\ \end{array}

Two values for the shear modulus $G$ are used with a shear stiffness $GA$ of $500$ and $10$ , respectively, the latter representing the case with significant shear deformations. Table (#tab:transv) presents the numerical tip displacements and the analytic solution from using Jacobi elliptic functions and accounting for flexural and shear deformations. The analysis uses both 2-node and 4-node elements. For the sake of brevity, the results are reported only for the variants using the same parameterization as the wrapped element’s interpolation.

Transient response of a shallow spherical cap

Yacht Hull