Learning Goal:

member is $1\mathrm{.}50$ in ${?}^2.$ Using a factor of safety of $2\mathrm{.}5,$ calculate the maximum load P that can be applied to the truss so that the allowable stress will not be exceeded in members $BC$ and $CH.$

Part A $-$ Find the normal forces in members BC and CH

Use the method of sections to determine the forces in members $BC$ and $CH$ in terms of $P.$ Enter the force in $BC,$ then the force in CH separated by a comma.

Express your answers in $P$ to three significant figures.

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Part B $-$ Calculate the maximum allowable load, P$,$ that can be applied to the truss

Apply the factor of safety to the yield stress to calculate the allowable stress, then use this allowable stress and the normal forces in members $BC$ and CH to calculate the maximum allowable load,

Express your answer in kips to three significant figures.

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Part $C-$ Find $P$ based on the force in member GH

Using the allowable stress and the normal force in member GH$,$ calculate the maximum allowable load, P$.$ Note that, for structural steel, the yield strength is the same for tension and compression.