Part A Concepts $(20$points$)$

A cantilever beam is loaded as shown here. Which one of the

$1$ A

Prob. $1$

$2.$ In prob. $1$ what is the maximum deflection if the length of the beam is

a$.\frac{F{L}^3}{2EI}$

b$.\frac{F{L}^3}{3EI}$

c$.\frac{8F{L}^3}{3EI}$

d$.\frac{F{L}^3}{24EI}$

$3.$ What is the bending moment at point $A$ of the beam shown in figure for Prob. $3?$

a$.0$

b$.M_0$

c$.\frac{M_0}{3}$

d$.\frac{M_o}{8}$

$4.$ The four bars shown here have the same crosssectional area. Note that the cross section of the triangular bar is an equilateral triangle. Which one has the maximum compressive stress?

a$.$ A

b$.$ B

c$.$ C

d$.$ D

$5.$ A ridgidly mounted, $3-cm-$diameter, $1-$m$-$long, solid circular rod has a $500$ N load applied at the free$-$end of the rod and edge of the cross$-$section $($shown in figure Pro. $4$B$).$ Will this rod fail by buckling if it is made of aluminum $(($:$E=70$GPa,${}_u=200$MPa