Mechanics of Materials

Appendix H: Answers to Selected Problems

CHAPTER 1

1.1

In a tug of war, each person shown in Figure P1.1 exerts a fore/of 200 lb. If the diameter of the rope is 1/2 in, determine the axial stress in the rope.


Figure P1.1

1.2

A weight is being raised using a cable and a pulley, as shown in Figure P1.2. If the weight W = 200 lb, determine the axial piesf assuming: (a) the cable diameter is ? in (b) the cable diameter is 1/4 in.


Figure P1.2

1.3

The cable in Figure P1.2 has a diameter of in. If the maximum stress in the cable must be limited to 4 ksi (T), what is the maximum weight that can be lifted?

1.4

The weight W = 250 lb in Figure P1.2. If the maximum stress in the cable must be limited to 5 ksi (T), determine the minimum-diameter of the cable to the nearest in.

1.5

A 6-kg light shown in Figure P1.5 is hanging from the ceiling by wires of 0.75-mm diameter. Determine the tensile stress in wires AB and BC.


Figure P1.5

1.6

A 8-kg light shown in Figure P1.5 is hanging from the ceiling by wires. If the tensile stress in the wires cannot exceed 50 MPa, determine the minimum diameter of the wire, to the nearest tenth of a millimeter.

1.7

Wires of 0.5-mm diameter are to be used for hanging lights such as the one shown in Figure P1.5. If the tensile stress in the...

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