Problem # $10$: A $30-$inch$-$long cantilever beam carries two loads as shown in figure below. If a rectangular steel bar $1-$inch. wide by $3-$inch. high is used for the beam section, compute the deflection at the end or tip of the beam. The Modulus of Elasticity, E $=29,000,000$ psi. Calculate deflections to the nearest thousandths of an inch.

A$)$ Deflection at tip of cantilever due to $135$ lbs$.$ point load only $=$ nch$.$

B$)$ Deflection at tip of cantilever due to $270$ lbs $.$ point load only $=$ inch.

C$)$ Deflection at tip of cantilever due to both point loads $=$ inch.