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# p8_sol - Problem Set 8 Problem 8.1 Method of Joints for...

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Problem Set 8 Problem 8.1. Method of Joints for Truss Analysis Determine the force in each member of the truss, and state if the members are in tension or compression. Figure P8.1: Problem 8.1

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Problem 8.2. Method of Sections for Truss Analysis The roof truss supports the loading shown. Determine the force in the members BC , CK , and KJ and state if these members are in tension or compression. Figure P8.2: Problem 8.2
Problem 8.3 Determine the force in each member of the truss and state if the members are in tension or compression.

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Solution 1. Mechanical System: truss. 2. Free-Body Diagram: joints C , D , and B . 3. Equations of equilibrium: Method of Joints F x F y = 0. P1 = 4; P2 = 4 kN; a = 3 m; theta = 30 deg % joint C % Fy = 0 => FCB*sind(theta) - P2 = 0 FCB = P2/sind(theta) % FCB = 8 [kN] (T) % Fx = 0 => FCD - FCB*cosd(theta) = 0 FCD = FCB*cosd(theta) % FCD = 6.9282 [kN] (C) % joint D % Fx = 0 => FDE - FCD = 0 FDE = FCD % FDE = 6.9282 [kN] (C) % Fy = 0 => FDB - P1 = 0
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p8_sol - Problem Set 8 Problem 8.1 Method of Joints for...

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