Two steel bars (Es = 200 GPa, αs 11.7 x 10-6 /°C) are used to reinforce a brass bar (Eb=105 GPa, αb = 20.9 x 10-6 /°C) that is subjected to a load P = 25 kN. When the steel bars were fabricated, the distance between the centres of the holes that were to fit on the pins was made 0.5 mm smaller than the 2 m needed. The steel bars were then placed in an oven to increase their length so that they would just fit on the pins. Following fabrication, the temperature in the steel bars dropped back to room temperature. Determine (a) the increase in temperature that was required to fit the steel bars on the pins, (b) the stress in the brass bar after the load is applied to it.

Two steel bars (Es = 200 GPa, αs 11.7 x 10-6 /°C) are used to reinforce a brass bar (Eb=105 GPa, αb = 20.9 x 10-6 /°C) that is subjected to a load P = 25 kN. When the steel bars were fabricated, the distance between the centres of the holes that were to fit on the pins was made 0.5 mm smaller than the 2 m needed. The steel bars were then placed in an oven to increase their length so that they would just fit on the pins. Following fabrication, the temperature in the steel bars dropped back to room temperature. Determine (a) the increase in temperature that was required to fit the steel bars on the pins, (b) the stress in the brass bar after the load is applied to it.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.1P: The rails of a railroad track are welded together at their ends (to form continuous rails and thus...

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