Tensile Strain

  • Thread starter tone999
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  • #1
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Homework Statement



If a glass rod of diameter 1cm is loaded with a 1kN tensile load and has a young's modulus of 70 GPa, what is the tensile strain?

Homework Equations





The Attempt at a Solution



Im sure if somebody could tell me the formula for this i could work it out easily
 

Answers and Replies

  • #2
alphysicist
Homework Helper
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Hi tone999,

Homework Statement



If a glass rod of diameter 1cm is loaded with a 1kN tensile load and has a young's modulus of 70 GPa, what is the tensile strain?

Homework Equations





The Attempt at a Solution



Im sure if somebody could tell me the formula for this i could work it out easily
Young's modulus is an example of a modulus of elasticity. What is the mathematical definition of a modulus of elasticity?
 
  • #3
18
0
elastic modulus = stress/strain

70,000 = 0.01/1000

Answer in pascal units

Is this anywhere near the correct method?
 
  • #4
18
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Strain = 1kN / ((pi*1^2)/4 * 70GPa) = 1kN / (.7854cm^3 * 70GPa)

Strain = 1000N / (785mm^2 * 70000 N/mm^2) = 0.000182

Is this correct now?
 
  • #5
alphysicist
Homework Helper
2,238
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Strain = 1kN / ((pi*1^2)/4 * 70GPa) = 1kN / (.7854cm^3 * 70GPa)

Strain = 1000N / (785mm^2 * 70000 N/mm^2) = 0.000182

Is this correct now?
Yes, that looks right to me.
 
  • #6
18
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If that rod, with thermal expansion coefficient 6 x10^-6 is cooled
by 20 OC, what is the resulting thermal strain?

Is this just 6x10^-6/(20)(0.000182)=5.46x10^-11
 
Last edited:

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