$(10$ points$)$ Difficulty $(4/5)$

Dimensions and Loads:

Problem Statement:

An $S17830$ beam is loaded and supported as shown. Find the following, assuming the beam is composed of Structural Steel, and neglecting the effect of self$-$weight.

$($a$)$ The deflection of the beam midway between the supports.

$($b$)$ The slope of the beam at point B$.$

$($c$)$ The deflection of the beam at point A $.$

$($d$)$ The slope of the beam at point C$.$

$($e$)$ The deflection of the beam at point $D.$

Answers:

$($Denote upward deflections with positive values, and downward deflections with negative values. Denote positive slopes with positive values and negative slopes with negative values.$)$

$($a$)y_{BC-\text{m}\text{i}\text{d}\text{p}\text{o}\text{i}\text{n}\text{t}}=$

$($b$){}_B=$

$($c$)y_A=$

$($d$){}_C=$

$($e$)y_D=$

be sure to include units with your answers