Calculate the tension in the rod

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SUMMARY

The discussion focuses on calculating the tension in a steel rod with a diameter of 4.00 cm that experiences a temperature increase of 70.0°C and is subsequently allowed to cool. The relevant parameters include Young's modulus for steel at 20.6 x 1010 N/m2 and an average coefficient of linear expansion of 11 x 10-6 1/°C. The calculations utilize the formulas ΔL = L1 * α * ΔT and F/A = Y (ΔL/L). The method is confirmed as correct, emphasizing that the coefficient of linear expansion applies to both expansion and contraction scenarios.

PREREQUISITES
  • Understanding of Young's modulus and its application in material science.
  • Knowledge of the coefficient of linear expansion and its significance in thermal physics.
  • Familiarity with basic mechanics, particularly tension and force calculations.
  • Ability to manipulate and apply algebraic equations in physical contexts.
NEXT STEPS
  • Study the principles of thermal expansion in materials, focusing on steel properties.
  • Learn about the application of Young's modulus in real-world engineering problems.
  • Explore the effects of temperature changes on different materials and their mechanical properties.
  • Investigate the relationship between tension, compression, and thermal effects in structural engineering.
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Students in physics or engineering disciplines, mechanical engineers, and anyone involved in materials science or structural analysis will benefit from this discussion.

Dr.Wasim
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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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