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Quiz 1 Solutions

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

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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 3 4 5 5 CFx CF CFy CF F F F F = = From Joint F: E.O.E : 4 5 0 0 5 4 CFy CF CF Fy F P F P F P Σ = = = = Tension 3 5 3 3 0 0 5 4 5 4 CFx EF CF EF EF EF Fx F F F F P F F P Σ = + = ⇒ − = ⇒ − = = − Compression Now I can calculate the stresses: 5 5 4 3000 4800 2 8 CF CF CF CF allowTension P F P P lb A σ σ σ σ = = = = = = P

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