Solution to Problem 264 Thermal Stress

Problem 264
A steel rod 3 feet long with a cross-sectional area of 0.25 in.2 is stretched between two fixed points. The tensile force is 1200 lb at 40°F. Using E = 29 × 106 psi and α = 6.5 × 10-6 in./(in.·°F), calculate (a) the temperature at which the stress in the bar will be 10 ksi; and (b) the temperature at which the stress will be zero.
 

Solution 264

 

Comments

shouldn't you have to increase the temperature to increase the tensile stress and decrease the temperature to decrease the tensile stress?

No. Temperature change itself won't induce stress. Stress will occur only if you restrain the expansion or contraction due to temperature change.

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