Quiz 1 Solutions

Quiz 1 Solutions - CEN 202- Quiz #1 -B Problem 1. (65...

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CEN 202- Quiz #1 -B Problem 1. (65 points) A simply supported truss is shown in the figure below. Assume that members EF and CF are subjected to the highest compressive and tensile forces when the load P is being applied. If the cross sectional area of all members is 2 in 2 , and the allowable axial compressive stress is 2000psi and the allowable axial tensile stress is 3000psi, calculate: (a) The maximum force that could be applied First of all I have to express F EF and E CF in terms of P 34 55 CFx CF CFy CF FF == From Joint F: E.O.E : 45 00 54 CFy CF CF F y F P FP Σ= = = = Tension 35 3 3 5 4 CFx EF CF EF EF EF Fx F F F F P F F P + = = = = Compression Now I can calculate the stresses: 5 5 4 3000 4800 28 CF CF CF CF allowTension P F PP l b A σσσ σ =⇒=⇒= = =
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Quiz 1 Solutions - CEN 202- Quiz #1 -B Problem 1. (65...

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