Chapter 9, Problem 73RP

Knowing that a 0.02-in. gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the alumi-num bar will be equal to –11 ksi, (b) the corresponding exact length of the aluminum bar.

Determine the values of the stress in portions AC and CB of the steel bar shown Fig. when the temperature of the bar is 2508F, knowing that a close fit exists at both of the rigid supports when the temperature is 1758F. Use the values E=29 *106 psi and α=6.5 * 10–6/8F for steel

The ABD rigid bar is connected to the BD rush which consists of a single bar with a width of 25.0 mm and a thickness of 13 mm. Knowing that each pin has a diameter of 10 mm determine the value of the maximum average normal stress on rod BD considering the angle θ= 90°. Calculate the deformation in the BD rod knowing that it is made of steel with an elastic modulus equal to 210 GPa. Knowing that pins A, B and D are made of steel with a limit stress of 180 Mpa, calculate the smallest allowable diameter so that they support the load applied to them considering an overall safety factor of 2.8.

At a temperature of 32.98 °C a 0.41-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 131.06°C, determine the magnitude of the normal stress (in MPa) in the steel rod if L = 332.28 mm and M = 209 mm.

A14-kN tensile load will be applied to a 50-m length of steel wire with E = 200 GPa. Determine the smallest diameter wire that can be used, knowing that the normal stress must not exceed 150 MPa and that the increase in length of the wire must not exceed 25 mm. The smallest diameter that can be used is ___mm?

Straight rods of 0.30-in. diameter and 200-ft length are sometimes used to clear underground conduits of obstructions or to thread wires through a new conduit. The rods are made of high-strength steel and, for storage and transportation, are wrapped on spools of 5-ft diameter. Assuming that the yield strength is not exceeded, determine (a) the maximum stress in a rod, when the rod, which was initially straight, is wrapped on the spool, (b) the corresponding bending moment in the rod. Use E= 29 * 106 psi.

A 5.3-m-long steel rod must not stretch more than 2.71 mm and the normal stress must not exceed 181 MPa when the rod is subjected to a 9.99-kNaxial load. Knowing that E = 199.3 GPa, determine the required radius of the rod in mm.  Express your answer in four decimal places.

A 6.87-m-long steel rod must not stretch more than 2.5 mm and the normal stress must not exceed 181 MPa when the rod is subjected to a 9.54-kNaxial load. Knowing that E = 198.3 GPa, determine the required radius of the rod in mm.

2 m long aluminium rod must not stretch more than 1 mm and the normal stress must not exceed 38 MPa when the rod is subjected to a 5 kN axial load. Knowing that Modulus of Elasticity for Aluminium (E)= 70 GPa, determine the required diameter of the rod. D= 13.49 mm