Calculating Temperature Change for Steel Rod Stretching

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SUMMARY

The discussion focuses on calculating the temperature change required to elongate a steel rod under a stretching force of 500 N with a cross-sectional area of 2 cm². The participant employs Young's modulus, specifically using a value of 20 x 10¹⁰ Pa for steel, to determine the change in length (ΔX). The challenge arises in calculating the initial length (L_initial) needed for the linear expansion formula, which incorporates the average coefficient of linear expansion for steel, 11 x 10⁻⁶. The participant seeks clarification on how to derive or substitute the initial length in the calculations.

PREREQUISITES
  • Understanding of Young's modulus and its application in material science
  • Knowledge of linear thermal expansion principles
  • Familiarity with basic physics concepts such as force, area, and stress
  • Ability to manipulate equations involving thermal expansion and material properties
NEXT STEPS
  • Research the derivation and application of Young's modulus in different materials
  • Learn about the calculation of thermal expansion in solids, specifically for metals
  • Explore methods to determine initial lengths in material deformation problems
  • Investigate the relationship between stress, strain, and temperature changes in materials
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Students and professionals in engineering, physics, and materials science who are involved in the analysis of material properties and thermal effects on structural components.

parttime
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a steel rod undergoes a streching force of 500n its crossectional area is 2cm^2 find the temp change that would elongate the rod by same amount
i useyoungs modulus to get change in length so ym= (F/A)/(deltaX/h)
so i solve for r (which is = to h from area of circle) and with a ym for steel of 20*10^10 i get delta X now i plug that into equation for linear
which is deltaX = (average coeffiecent of linear expation for steel) = 11*10^-6 Linitial(which is what is giving me problems) *delta T (temp)
i am not given the initial length how am i supposed to come up with it or substitute it for some other value??
 
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parttime said:
i useyoungs modulus to get change in length so ym= (F/A)/(deltaX/h)
so i solve for r (which is = to h from area of circle)
What is r? h should be the length of the rod. When you do the thermal expansion, the length drops out.

AM
 
Last edited:

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