A steel pipe $(D=190mm$;$d=165mm)$ supports a concentrated load of $P$ as shown. The span length of the cantilever beam is

$L=2\mathrm{.}0m.$

$($a$)$ Compute the value of $Q$ for the pipe.

$($b$)$ If the allowable shear stress for the pipe shape is $80$MPa, determine the maximum load $P$ that can be applied to the

cantilever beam.

Answers:

$($a$)Q=$

$m{m}^3$

$($b$)P=$

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