Prob. $5\mathrm{.}5$

$120$ plf

$W1022$:

$A=6\mathrm{.}49i{n}^2$

$I=118i{n}^4$

$E=29,000$ksi

a$.$ Guess the anticipated deflected shape.

b$.$ Estimate the peak deflection by ignoring the distributed load on the

cantilevered end. Will this provide an upper bound, a lower bound, or just

an approximation for the actual peak vertical displacement? Justify your

answer.

c$.$ Derive the expressions for the slope and displacement due to dead load

along the entire beam. Determine the peak displacement and its location

$($creating a table of values is acceptable for this$).$

d$.$ Plot the expressions for the slope and displacement.

e$.$ Identify at least four features of the expressions for the slope and

displacement that suggest you have a reasonable answer.

f$.$ Evaluate the displacement prediction using your results from parts $($b$)$ and

$($e$).$