# Solution to Problem 305 Torsion

**Problem 305**

What is the minimum diameter of a solid steel shaft that will not twist through more than 3° in a 6-m length when subjected to a torque of 12 kN·m? What maximum shearing stress is developed? Use G = 83 GPa.

# Solution to Problem 304 Torsion

**Problem 304**

A steel shaft 3 ft long that has a diameter of 4 in is subjected to a torque of 15 kip·ft. Determine the maximum shearing stress and the angle of twist. Use G = 12 × 10^{6} psi.

# Torsion

**TORSION**

Consider a bar to be rigidly attached at one end and twisted at the other end by a torque or twisting moment T equivalent to F × d, which is applied perpendicular to the axis of the bar, as shown in the figure. Such a bar is said to be in torsion.

# Solution to Problem 276 Thermal Stress

**Problem 276**

Four steel bars jointly support a mass of 15 Mg as shown in Fig. P-276. Each bar has a cross-sectional area of 600 mm^{2}. Find the load carried by each bar after a temperature rise of 50°C. Assume α = 11.7 µm/(m·°C) and E = 200 GPa.

# Solution to Problem 275 Thermal Stress

**Problem 275**

A rigid horizontal bar of negligible mass is connected to two rods as shown in Fig. P-275. If the system is initially stress-free. Calculate the temperature change that will cause a tensile stress of 90 MPa in the brass rod. Assume that both rods are subjected to the change in temperature.

# Solution to Problem 274 Thermal Stress

**Problem 274**

At what temperature will the aluminum and steel segments in Prob. 273 have numerically equal stress?

# Solution to Problem 273 Thermal Stress

**Problem 273**

The composite bar shown in Fig. P-273 is firmly attached to unyielding supports. An axial force P = 50 kips is applied at 60°F. Compute the stress in each material at 120°F. Assume α = 6.5 × 10^{-6} in/(in·°F) for steel and 12.8 × 10^{-6} in/(in·°F) for aluminum.

# Solution to Problem 272 Thermal Stress

**Problem 272**

For the assembly in Fig. 271, find the stress in each rod if the temperature rises 30°C after a load W = 120 kN is applied.

# Solution to Problem 271 Thermal Stress

**Problem 271**

A rigid bar of negligible weight is supported as shown in Fig. P-271. If W = 80 kN, compute the temperature change that will cause the stress in the steel rod to be 55 MPa. Assume the coefficients of linear expansion are 11.7 µm/(m·°C) for steel and 18.9 µm/(m·°C) for bronze.