A bolt and pipe of length 0.50 m are just tight at 20°C. On heating by 10 0 ∘ C , α b = 1 0 − 5 , α p = 2 × 1 0 − 5 per °C. Areas A b = 100 m m 2 , A p = 200 m m 2 ; both Y = 200 GPa . Elastic

Question

A bolt and pipe of length 0.50 m are just tight at 20°C. On heating by 10 0 ∘ C , α b ​ = 1 0 − 5 , α p ​ = 2 × 1 0 − 5 per °C. Areas A b ​ = 100 m m 2 , A p ​ = 200 m m 2 ; both Y = 200 GPa . Elastic, friction-free contact. Select correct statements.

TestHub · Accepted Answer

Free mismatch L ( α p ​ − α b ​ ) Δ T = 0.50 mm . Compatibility: F L [ ( A b ​ Y ) 1 ​ + ( A p ​ Y ) 1 ​ ] = 0.50 mm . F = 13333.3 N ; bolt elastic extension = 0.3333 mm ; pipe compression = 0.1667 mm . A,B,D.

Physics - Heat & Thermo Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion