TECHNOLOGICAL UNIVERSITY DUBLIN Solution 16 kN 20 3 kN 40 8 kN [F = 0] 8+...

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TECHNOLOGICAL UNIVERSITY DUBLIN Solution 16 kN 20 3 kN 40 8 kN [F = 0] 8+ T cos 40 + C sin 20 - 16 = 0 0.7667+0.342C = 8 (a) [Fy = 0] T sin 40C cos 20 - 3 = 0 0.6437 0.940C = 3 (b) Simultaneous solution of Eqs. (a) and (b) produces T = 9.09 kN C = 3.03 kN Ans. Problem Statement Determine the magnitudes of the forces C and T, which, along with the other three forces shown, act on the bridge-truss joint. 20 3 kN 16 kN 40 T 8 kN TECHNOLOGICAL UNIVERSITY DUBLIN Solution 16 kN 20 3 kN 40 8 kN [F = 0] 8+ T cos 40 + C sin 20 - 16 = 0 0.7667+0.342C = 8 (a) [Fy = 0] T sin 40C cos 20 - 3 = 0 0.6437 0.940C = 3 (b) Simultaneous solution of Eqs. (a) and (b) produces T = 9.09 kN C = 3.03 kN Ans. Problem Statement Determine the magnitudes of the forces C and T, which, along with the other three forces shown, act on the bridge-truss joint. 20 3 kN 16 kN 40 T 8 kN