WORLD FOR CIVIL

Statics & Strength of Materials

Problem Assignment (determinate) Stress/Strain 3

1. In the structure shown to the right, member BD is a steel rod with a diameter of 1 inch. Member ABC is also a steel member. Both members are attached to the wall by pinned joints. If we assume that member AB does not bend, determine the stress in member BD and the deformation of member BD.
(answers: Ax = 8723 lb., Ay = 1605 lb., D = 13, 570 lb)
(answers: Stress BD = 17, 280 psi, Deform BD = .104")

2. In the structure shown to the right, member AB is a Brass rod with a diameter of 1.5 inches. Member BCD is also a Brass member. Both members are pinned to the wall. If we assume that member BCD does not bend, determine the stress in member AB and the deformation of member AB.
(answers: AB = 11, 450 lb., Dx = 5,084 lb., Dy = 5,725 lb)
(answers: Stress AB = 6,480 psi, Deform AB = .0081")

3 In the structure shown to the right, member AB is a cable and BCD is a solid rigid member (that is, it does not bend). Member BCD is pinned at point E, and is supported by cable AB at point B. Member AB is pinned to the wall at point A. Member AB is a steel cable with a diameter of 1 inch. You may assume that point B moves "down" the amount cable AB deforms. For this structure, determine the stress in cable AB, and the movement of point C.
(answers: A = 40,000 lb., Dx = 32,000 lb., Dy = 4,000 lb)
(answers: Stress AB = 50,930 psi, Movement of C = .109")

4. In the structure shown to the right L-shaped member BCDE is connect by a steel cable, AB, to the wall. Member EFG is pinned to the wall at G, and is resting on top of member BCDE, supported by a roller. The members are loaded as shown. The steel cable has an area of .5 in². Assume members BCE and EFG do not bend. Determine the stress which develops in cable AB, and the movement of point F.

(answers: A = 10,000 lb., Cx = 10,000 lb., Cy = 14,000 lb)
(answers: Stress AB = 20,000 psi, Movement of F = .008")

5. In the structure shown to the right member ABD is a solid rigid member pinned to the wall at A, supported by steel cable BC, and connected to member EFG by steel cable DE. (Cables BC and DE each have a cross sectional area of .5 square inches.) Member EFG is supported by a roller at F and is loaded with 12000 lb. at G. For this structure determine the stress in cable BC, and the movement of point G.

(answers: Fy = 36,000 lb., ED = 24,000 lb., Ay = 24,000 lb., BC = 48,000 lb.)
(answers: Stress BC = 96,000 psi, Movement of G = .384")