Part $1$

Use the graphical method to construct the shear$-$force and bending$-$moment diagrams for the beam

shown. Let $a=4\mathrm{.}5m,b=3\mathrm{.}5m,c=2\mathrm{.}0m,w_{AB}=110k\frac{N}{m},w_{CD}=80k\frac{N}{m},$ and $M_A=180kN-m.$ Construct

the shear$-$force and bending$-$moment diagrams on paper and use the results to answer the questions in

the subsequent parts of this GO exercise.

Calculate the reaction forces $A_y$ and $C_y$ acting on the beam. Positive values for the reactions are indicated

by the directions of the red arrows shown on the free$-$body diagram below. $($Note: Since $A_x=0,$ it has

been omitted from the free$-$body diagram.$)$

Answers: $A_y=$

$kN,C_y=$

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Attempts: unlimited

Part $2$

Determine the shear force acting at each of the following locations:

$($a$)x=0+m($i$.$e$.,$ just to the right of point $A)$

$($b$)x=4\mathrm{.}5m$

$($c$)x=8\mathrm{.}0-m($i$.$e$,,$just to the left of $C)$

$($d$)x=8\mathrm{.}0+m($i$.$e$,,$ just to the right of $C)$

When entering your answers, use the shear force sign convention.

Answers:

$($a$)V=$

kN $.$

$($b$)V=$

$($c$)V=$

kN $.$

$($d$)V=$

kN $.$

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