Q$3.$ Beam Element with Distributed Load

The bar is subjected to distributed load as shown in the Fig$\mathrm{.}3,$ where $\backslash ($ E$=200\backslash$mathrm$\{$GPa$\}\backslash )$ and square cross$-$section with $0\mathrm{.}25$ mX $0\mathrm{.}25$ m $.$

a$)$ Find solution of the system using FEA modeling of beam for $1$ and $3$ elements $($Hand calculations$)$

b$)$ Find solution of the system using Ansys Workbench using $5,10,15$ elements

c$)$ Compare the displacement and stress results for $5$ cases $(2$ FEA hand solution and $3$ Ansys Solutions$)$ and discuss the results.

Figure $3.$ Beam Element with Distributed Load