HW$3\mathrm{.}1.$ Maximum Shear Force & Bending Moment for Simply$-$Supported Beam

The simply$-$supported beam is subjected to a uniform distributed load $(q)$ and a concentrated force $(F),$ at the

locations shown below. Place the coordinate system origin $(x=0)$ at the left end of the beam, and follow the

standard sign convention for $V$ and $M$ from the textbook.

Given:

$L_1=7ft$

$L_2=11ft$

$F=18$ kip

$*q=5ki\frac{p}{f}t$

Determine the maximum shear force. Express the answer as magnitude only and ignore signs$/$directions$.$

$|V_{\text{m}\text{a}\text{x}}|=$

Determine the maximum bending moment and the distance from the origin $(x=0)$ to the location of this

moment, e$.$g$.,$ distance $x_{\text{m}\text{a}\text{x}}.$ Express the answers as magnitude only and ignore signs$/$directions$.$