WORLD FOR CIVIL

Statics & Strength of Materials

Problems

1. A weightless horizontal plank is ten feet long. It is simply supported at its two ends. A single load of 300 pounds rests at 4 feet from the left end. Determine the support forces at each of the two ends. (120 lb., 180 lb.)

2. A weightless horizontal plank is 16 feet long and is simply supported at its two ends. A load of 200 pounds is 4 feet from the left end and a load of 400 pounds is 6 feet from the right end. Determine the support forces at each of the two ends. (300 lb., 300 lb.)

3. A 12 foot long uniform steel beam weighs 500 pounds and has no additional loads. (For static equilibrium calculations the entire weight of a uniform beam can be considered to act at its midpoint.) The beam is simply supported at its two ends. Determine the forces acting at each end. (250 lb., 250 lb.)

4. A 20 foot long uniform steel beam weighs 800 pounds. The beam is simply supported 4 feet from the ends. A load of 1200 pounds is at one end of the beam and 1800 pounds at the other end. Determine the support forces acting on the beam.(1400 lb., 2400 lb.)

5. An 8 foot beam (weightless) is simply supported at its left end and its midpoint. There is a load of 150 pounds placed at the free end and a load of 600 pounds placed midway between the supports. Determine the support forces acting on the beam.(600 lb., 150 lb.)

6. A diving board is 16 feet long and is supported at its left end and a point 4 feet from the left end. A 140 lb. diver stands at the right end of the board. Determine the support forces acting on the diving board. (560 lb., - 420 lb.)