a$.$ Guess whether the midspan displacement will be greater or less

than the midspan displacement of a simply supported beam with

an equivalent uniform load.

Prob. $5\mathrm{.}14$b

b$.$ Calculate the midspan displacement of the beam with the

equivalent uniform load using formulas from inside the front

cover of this text.

c$.$ Derive the expressions for the moment for the beam with a

triangular distributed load.

d$.$ Calculate the midspan displacement of the beam using the

Virtual Work Method. Compare that value with the value inside

the front cover of this text.

e$.$ Comment on why your guess in part $($a$)$ was or was not close to

the solution in parts $($b$)$ and $($d$).$