Answered: P' 2 m 15 mm Steel 5 mm Brass Steel 40…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Two steel bars (Es=200 GPa and αs=11.7 3 10–6/°C) are used to reinforce a brass bar (Eb=105 GPa, αb=20.9 3 10–6/°C) that is subjected to a load P5 25 kN. When the steel bars were fabricated, the distance between the centers 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.

P'
2 m
15 mm
Steel
5 mm
Brass
Steel
40 mm

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