Problem $2(30$ points$)$

For the frame, figure$($a$),$ rigidly connected at B$,$ pin supported at A$,$ and roller supported at E$.$

a$)$ Construct Shear Force Diagram $($SFD$),$ Bending Moment Diagram $($BMD$)$ and Axial

force diagrams $($AFD$)($you learned in chapter $2)$ for each frame member.

b$)$ Draw the forces$($s$)$ and moment$($s$)$ acting on the cut section showed in figure $($b$).$

Hints:

Find all of the external forces and draw free body diagram $($FBD$)$

Choose a sign convention for each diagram

If necessary, choose a reference coordinate system

Use equilibrium analysis or differential and integral relationships to construct

internal force functions: $*$ Cut structure at appropriate sections, $*$ The FBD on either

side of the cut may be analyzed, $-$ Indicate unknown internal forces consistent with

the chosen sign convention, $*$ Plot the internal force function for each segment,

Check each diagram for errors

Solution: