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.
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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Question
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.
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