Question No$.2(30$ minutes$)$:

$[20$ pts$]$

The beam shown in Figure $2$ has a rectangular cross section with a base of $25$ mm and a height of $40$ mm $.$ Support at $A$ is pin, supports at $C$ and $E$ are rollers, and D is an internal hinge $D.$

a$)$ Draw the shear and bending moment diagrams for the beam. $[10$ pts$]$

b$)$ Determine the maximum bending stress in the beam. $[5$ pts$]$

c$)$ Determine the maximum shear stress in the beam. $[5$ pts$]$

Hint: remove the bracket at $B$ and replace the $4$ kN point load with its effect at point $B$

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$$ E

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$25$ mm

Figure $2$