Question

t The Method of Sections 1 of 5 Part A Learning Goal: To apply the method of sections to find the forces in specific members of a truss. As shown, a truss is loaded by the forces P 500 lb and P2 194 lb and has the dimension a 9.90 ft The method of sections is used to find the force in a specific member of a truss and is based on the principle that, if a body is in equilibrium, then every part of that body is also in equilibrium. When applied, the method of sections "cuts" or sections the members of a truss and exposes their internal forces. To find the unknown internal member y P H forces, the free-body diagram of a section is drawn and the equations of equilibrium are applied: ΣΤ.-0 Σ,-0 E ΣΜΟ-0 Because there are only three independent equilibrium equations, section cuts should be made such that there are not more than three members B C D a/2 a/2 that have unknown forces. Determine FBc , the magnitude of the force in member BC, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. Express your answer numerically in pounds to three significant figures. View Available Hint(s)

Answer 1

P H Y ke a Rニ sco に194b. 4 =99 An- Paニ0 An P An-194 1 Ejx3a+xa-A x ニ0 3Ed= P-P Soo-194 (1) 102 Lb S00-102 Aj Aa 3981 () LP T

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