QUESTION $3[50]$

A beam of rectangular cross section is simply supported at the ends and carries a vertical load that increases uniformly from zero at the left end to a maximum value of $8000\frac{N}{m}$ at the right end as shown in Figure $3.$ The allowable workina stress in either tension or combression is $150$MPa.

$5\mathrm{.}1.$ Draw the free body diagram

$4$

$5\mathrm{.}2.$ Calculate the reactions on the beam

$6$

$5$

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$5\mathrm{.}3.$ Draw the shear force and bending moment diagrams.

$16$