Problem $3.$ Consider the support shown in Figure $3,$ whose most relevant data are listed below.

Based on the information provided, answer the following questions:

$($a$)$ Determine the bending stress at point $A$ at point $B$ and the shear stress due to the transverse

load also at points A and E

$($b$)$ Still at points A and B $,$ also calculate the shear stress due to torsion at both points.

$($c$)$ Finally, determine the principal stresses at points A and B on the pipe.

Data:

Tube length: $1=1\mathrm{.}00m$;

Arm length: $a=0\mathrm{.}40m$;

Arm thickness: $t=10mm$;

Arm height: $h=20mm$;

Magnitude of applied force: $F=50N$;

Pipe diameter od: Dod $=20mm$;

Tube diameter id: Did $=14mm$;

Material: Steel $(E=207$GPa.