Q$2$: $(10$ points$)$ Consider the truss structure shown below, which is composed of three members

of different areas. This truss is loaded with a rightward facing horizontal point

load at node C$.$

Member $AB,$ Area $=1\mathrm{.}5in2$

Member $BC,$ Area $=2\mathrm{.}5in2$

Member $AC,$ Area $=3\mathrm{.}2in2$

$($a$)$ What is the maximum amplitude of the point load at node C such that stress in each truss member

remains under $100$ ksi $?$

Hint: recall that stress relates to axial force and area, so you need to also find the forces

within the truss due to a horizontal $($unit$)$ load at C $.$

$($b$)$ At the maximum load amplitude found in part A $,$ what is the stress in each member? Hint: One of the

stresses should be $100$ ksi

Q$3$: $(10$ points$)$ Book Problem: P$1\mathrm{.}10($page $21)$

Hint: C is a hinge support. The mechanism is going to deform at joint C $.$ Think about the deformed

shape. You can break it at the hinge in case you want to find out the support reactions and the force

of BE$.$