Problem involving temp changes in stress and strain topic.

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Nicolesin
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Diagram of a bronze bar and an aluminum bar in a line with a 0.5 mm gap, dimensioned 0.35 m and 0.45 m, with material properties listed below: bronze A = 1500 mm², E = 105 GPa, α = 21.6 × 10⁻⁶/°C; aluminum A = 1800 mm², E = 73 GPa, α = 23.2 × 10⁻⁶/°C.

1. Knowing that a 0.5 mm gap exists when the temperature is 20 degree celsius,
Determine the tempature at which the normal stress in the aluminum bar will be equal to -90 MPa,And the corresponding exact length of the aluminum bar.

The Attempt at a Solution


I am not familiar with this topic. Could anyone also show me some of their thing process . Thanks in advance.
 
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Do you know how much expansion occurs in metals with temperature change?
Hint: it involves alpha.

Do you know how the length of a bar changes when an axial load is applied?