Two steel bars (Es = 200 GPa and αs = 11.7 × 10-6/°C) are used to reinforce a brass bar (Eb = 105 GPa and αb = 20.9 × 10-6/°C). 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 the maximum load P that may be applied to the brass bar if the allowable stress in the steel bars is 29 MPa and the allowable stress in the brass bar is 25 MPa. Two steel bars (Es= 200 GPa and as = 11.7 × 10-6/°C) are used to reinforce a brass bar (Eb = 105 GPa and ab= 20.9 x 10-6/°C). When the steel bars were fabricated, the distance between the centers of the holes thatwere to fit on the pins was made 0.5 mm smaller than the 2 m needed. The steel bars were then placed inan oven to increase their length so that they would just fit on the pins. Following fabrication, the temperaturein the steel bars dropped back to room temperature. Determine the maximum load P that may be applied tothe brass bar if the allowable stress in the steel bars is 29 MPa and the allowable stress in the brass bar is 25MPa.P'SteelBrass2 mSteel40 mm15 mm5 mmThe maximum load P that may be applied to the brass bar iskN.

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Answered: Two steel bars (Es = 200 GPa and αs =…

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 (E_s = 200 GPa and α_s = 11.7 × 10^-6/°C) are used to reinforce a brass bar (E_b = 105 GPa and α_b = 20.9 × 10^-6/°C). 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 the maximum load P that may be applied to the brass bar if the allowable stress in the steel bars is 29 MPa and the allowable stress in the brass bar is 25 MPa.

Two steel bars (Es= 200 GPa and as = 11.7 × 10-6/°C) are used to reinforce a brass bar (Eb = 105 GPa and ab
= 20.9 x 10-6/°C). 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 the maximum load P that may be applied to
the brass bar if the allowable stress in the steel bars is 29 MPa and the allowable stress in the brass bar is 25
MPa.
P'
Steel
Brass
2 m
Steel
40 mm
15 mm
5 mm
The maximum load P that may be applied to the brass bar is
kN.

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