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Step I Find the reaction at A & G sigma F_x = 0 G_x + A_x = 0 sigma F_y = 0 implies G_y = 15 KN Taking moment at G sigma M_G = 0 - A_x times 3 + 5 times 2 + 5 times 4 + 5 times 6 A_x = 60/3 A_x = 20 KN G_x + A_x = 0 G_x = -20 KN Negative sign shows that the direction assumed of G_x is wrong. So reverse the direction.
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\r\n Step II Assume the direction of forces is the member. At point G (using method of joints) sigma F_x = 0 F_GF = 20 KN (compression) Direction Assumed is correct for F_GF F_GA = 15 KN (compression) At point A sigma F_x = 0 F_AB = 20 KN (Tension) {Positive magnitude of force, so, Direction Assumed is correct. If you get negative magnitude of
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