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.
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Solution to Problem 274 Thermal Stress
Problem 274
At what temperature will the aluminum and steel segments in Prob. 273 have numerically equal stress?
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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.
![Composite aluminum and steel bar](http://www.mathalino.com/sites/default/files/images/273-given-figure.jpg)
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Solution to Problem 269 Thermal Stress
Problem 269
As shown in Fig. P-269, there is a gap between the aluminum bar and the rigid slab that is supported by two copper bars. At 10°C, Δ = 0.18 mm. Neglecting the mass of the slab, calculate the stress in each rod when the temperature in the assembly is increased to 95°C. For each copper bar, A = 500 mm2, E = 120 GPa, and α = 16.8 µm/(m·°C). For the aluminum bar, A = 400 mm2, E = 70 GPa, and α = 23.1 µm/(m·°C).
![Figure P-269](http://www.mathalino.com/sites/default/files/images/269-given-figure.png)
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Solution to Problem 266 Thermal Stress
Problem 266
Calculate the increase in stress for each segment of the compound bar shown in Fig. P-266 if the temperature increases by 100°F. Assume that the supports are unyielding and that the bar is suitably braced against buckling.
![Figure P-266](http://www.mathalino.com/sites/default/files/images/266-given-figure.jpg)
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Solution to Problem 257 Statically Indeterminate
Problem 257
Three bars AB, AC, and AD are pinned together as shown in Fig. P-257. Initially, the assembly is stress free. Horizontal movement of the joint at A is prevented by a short horizontal strut AE. Calculate the stress in each bar and the force in the strut AE when the assembly is used to support the load W = 10 kips. For each steel bar, A = 0.3 in.2 and E = 29 × 106 psi. For the aluminum bar, A = 0.6 in.2 and E = 10 × 106 psi.
![Figure 257](http://www.mathalino.com/sites/default/files/images/257-three-bars-and-a-strut.jpg)