. An aluminum bar is 300 mm long, has a constant cross section of 800 mm2, a modulus
of elasticity E = 105 GPa, and a coefficient of thermal expansion k = 23 × 10−6 per ◦C.
It is supported at each end so that its length remains constant, but it is free to expand
laterally. It is subjected to a temperature increase T = 30◦C.
(a) Determine the longitudinal stress and strain due to T .
(b) A longitudinal load P = 500 kN is applied at the midlength of the bar, in addition
to the temperature increase T . Determine the longitudinal stress and strain in each
half of the bar.
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