Calculate the tension in the rod

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    Rod Tension
AI Thread Summary
The discussion centers on calculating the tension in a steel rod heated and then allowed to cool, with specific parameters provided for temperature change, Young's modulus, and the coefficient of linear expansion. The user successfully applies the equations for linear expansion and tension but expresses concern about the implications of cooling, questioning whether the average coefficient of linear expansion applies to contraction. Other participants clarify that the coefficient applies equally to both expansion and contraction scenarios. The user seeks confirmation of their method, emphasizing urgency for a response. The conversation highlights the importance of understanding thermal expansion principles in mechanical contexts.
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Homework Statement



A steel rod 4.00 cm in diameter is heated so that its temperature increases by 70.0 C. it is then fastened between tow rigid supports. The rod is allowed to cool to its original temperature. Assuming that Young's modulus for the steel is 20.6 * 10^10 N/m^2
and that its avarege coefficient of linear expansion is 11 * 10^-6 1/C , Calculate the
tension in the rod.

Homework Equations



Delta L = L1 * alfa ( avarege coefficient of linear expansion ) * delta T

and

F / A = Y delta L / L

The Attempt at a Solution



I found delta L / L from first law above

then i found tension from second law

Is this true ?? please i need the answer today

Best wishes for you
 
Physics news on Phys.org
please help me

today the last time for answer
 
Your method is correct.
 
But i doubt in my method because the rod's length will decrease by cooling

and it will exert force on supporter

and my equation for solution contain avarege coefficient of linear expansion

not for compression ... understand me ?
 
The coefficient of expansion applies equally to the case of cooling/contraction.
 

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