Question $1$

A C$-$section beam, as shown in Figure $1,$ is loaded in the $xy-$plane by a uniformly distributed load of $10k\frac{N}{m},$ and in the $xz-$plane by a concentrated force of $0\mathrm{.}5$ kN at free end. The beam is $0\mathrm{.}5$ m long. Determine:

Location of neutral axis

Identify the locations of maximum tensile and compressive stresses

Calculate the values of maximum tensile and compressive stresses in the beam

Is there any possibility of torsion in the beam?

Figure $1$: C$-$section beam subjected to UDL and a point load