Question

Learning Goal: To solve for the support reactions of a frame. The frame shown in (Figure 1) is supported by a pin at A and a pin at D. The two members are connected by a pin at C. The dimensions are H = 1.4 m, H2 = 2.1 m, and L = 1.5 m The applied force P = 18 kN acts at the midpoint of BC, and the distributed load has intensity w = 1.4 kN/m Part C What is the horizontal reaction at A? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. ► View Available Hint(s) DAHA ? O 2 Units A - Value Submit Part D What is the vertical reaction al A? Assume the forces act in the directions shown in the free-body diagram. Express your answer to three significant figures with appropriate units. View Available Hint(s) 4,- Value Units Submit Figure 3 of 3 > Part E What is the horizontal reaction at D? Assume the forces act in the directions shown in the free body diagram. Express your answer to three significant figures with appropriate units. View Available Hint(s) D = Value Units Submit

Answer 1

Given that Hillim H₂ = 2.1m L = 1.5m W = 1.4 kN/m P = 18KN Now, & moco Ca x 2.1 - 1.4x2.1x2.1 zo 2.102 = 3.087 ca=1.47 KN Now, EFxzo cx +Dx- (1.482.1) 20 .1.47 + DX-2.94-0 De = 1.47 kN (Post-E). Now, moment about a EMATO (18x0.75) - (C4 x 1.4) - (CXX 1.4) 50 13.5 - 1.4cy - 2.058 20 cy = 8.17 kN]

& Fx =0, Here Ax=cxl Ax = 1.47 kN) - Part-c {Fy=0 Aytcy - 18=0 Ay + 8.17-18=0 Ay = 9.83 kN - Part-o Now from co & Fy=0 Dy = cy [by = 8.17 kN] – past of Canned with CamScanner