Problem $2$

For the beam and cross section shown: $($a$)$ Sketch the shear and bending moment diagrams, $($b$)$ compute

the maximum value of $q[k\frac{N}{m}]$ considering that the strength requirements are ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=175$MPa and ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}$

$=100$MPa, and that the serviceability limit $($deflection$)$ is $=10mm,($c$)$ find the state of stress of the

point $G$ on the cross$-$sections corresponding to the bending moment and shear force at locations $F$ and $\frac{?}{\text{b}\text{a}\text{r}}(H)$

on the beam, draw the Mohr's circles for these two $($state of stress$)$ cases, and sketch their corresponding

stress elements, $($d$)$ draw the shear flow diagram through the cross section for the maximum shear force in

the beam. Take $E=200$GPa. For the beam and cross section shown: $($a$)$ Sketch the shear and bending moment diagrams, $($b$)$ compute

the maximum value of q $[$kN$/$m$]$ considering that the strength requirements are $$allow $=175$ MPa and $$allow

$=100$ MPa, and that the serviceability limit $($deflection$)$ is $=10$ mm$,($c$)$ find the state of stress of the

point G on the cross$-$sections corresponding to the bending moment and shear force at locations F and H

on the beam, draw the Mohr$$s circles for these two $($state of stress$)$ cases, and sketch their corresponding

stress elements, $($d$)$ draw the shear flow diagram through the cross section for the maximum shear force in

the beam. Take E $=200$ GPa.