WORLD FOR CIVIL

Topic 1: Statics I - Exam

1. Three vectors (A, B, & C) are shown in the diagram below. Find one vector (magnitude and direction) that will have the same effect as the three vectors shown below. (Remember to show your work.) (71.7 lb. @ 140^o)

2. Determine the tensions (T1, T2, T3) in each cable. (T1 = 500 lb., T2 = 71 lb., T3 = 505 lb.)

3. A square block has four forces acting on it as shown in the diagram. Each force has strength of 100 lb.
a) Determine the resultant torque due to all the forces with respect to Point O. (+ 407.2 ft-lb)
b) Determine a resultant force – magnitude, direction and location (acting at the base) which would be equivalent to the four forces shown below. (142 lb @ 132 deg, x = 4.33 ft)

4. Determine the support forces acting on the beam at points A & D. (Ax = -707 lb., Ay = 995 lb., Dy = 1712 lb.)