Question

As shown, a truss is loaded with forcesP_1 = 208 lb and P_2 = 410 lb and has the dimension a = 4.00 ft .

Learning Goal: To apply the method of joints to find the forces in a buss's members. For a truss, the method of joints is used to determine the forces in the members. To find cach member's foroc, the equilibriuin of individual jaints is considered. The member forces becainc external forces in a joint's frec-bacly diagram and must satisfy the following equations of equilibrium: R=0 SF, -0 Because each joint is subjected to a coplanar and concurrent force system, no moment equations are needed. The analysis of a truss should always begin with a joint that has at least one known force and at most two unknown forces. These equations of equilibrium yield two algebraic equations that can be solved for at most two unknowns. Part A As shown, a truss is loaded with forces P1 = 208 lb and P's - 410 lb and has the dimension a = 400 ft. A Determine A, and Ay, joint A's reaction forces' magnitures in the x and y directions, respectively, and Cy joint as reaction forca's magnitude in the y direction Express your answers numerically in pounds to three significant figures separated by commas. View Available Hints) AED vec OE? A.4,C, = Subrnit

Answer 1

This P := 410 : a P,= 208 16 : 20:_ E fx = 0 -> tve. Ax - P = 0 Ax = 20816] {fy to entuese + Ay - Py + Cy-o. - - Cy --Ay + 41016. E MA=O ( gtves - Pz xa + Ly * 2a=0. Cy = 40 x 4 = 20516 8x4 [ cy= 20516} substituting the equation o Ay= 4205 16