SteelBrass2 mSteel40 mm15 mmmmTwo steel bars (E, = 200 GPa and a, = 11.7x10-6/°C) are used toreinforce a brass bar (E = 105 GPa, a = 20.9x10/°C) that issubjected to a load P = 25 kN. When the steel bars were fabricated, thedistance between the centers of the holes that were to fit on the pinswas made 0.5 mm smaller than the 2 m needed. The steel barswere then placed in an oven to increase their length so that theywould just fit on the pins. Following fabrication, the temperaturein the steel bars dropped back to room temperature. Determine(a) the increase in temperature that was required to fit the steelbars on the pins, (b) the stress in the brass bar after the load isapplied to it.

Answered: Image /qna-images/answer/46bd7ec2-00ce-43c4-b56d-cd6f10bba570.jpg

Answered: (a) the increase in temperature that…

(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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter21: Heat And The First Law Of Thermodynamics

Section: Chapter Questions

Problem 21PQ

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Question

Steel
Brass
2 m
Steel
40 mm
15 mm
mm
Two steel bars (E, = 200 GPa and a, = 11.7x10-6/°C) are used to
reinforce a brass bar (E = 105 GPa, a = 20.9x10/°C) that is
subjected to a load P = 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.

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