Problem $8(25$ minutes$)$

For the following beam, $A=6,B=4,C=2$ :

Determine shear and moment functions $V(x)$

and $M(x)$ in the segment $d\frac{V}{d}x=wd\frac{M}{d}x=$VVMAB$(0\text{'})$

Verify that the slope $of$ the shear function $is$

$d\frac{V}{d}x=w,$ and that the slope $of$ the moment

function $isd\frac{M}{d}x=V$

Draw the shear $V$ and moment $M$ diagrams

along the entire beam

Determine shear and moment values $at$ point

$C$

Use the correct sign convention for internal forces.