Calculating the Tensile Strain of a Glass Rod

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Homework Help Overview

The discussion revolves around calculating the tensile strain of a glass rod subjected to a tensile load, with specific parameters including diameter, load, and Young's modulus. The subject area is material mechanics, focusing on the relationship between stress, strain, and material properties.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formula for tensile strain and its relationship to Young's modulus. There are attempts to derive strain from given parameters, with some participants questioning the correctness of their methods and calculations.

Discussion Status

The conversation includes various attempts to calculate tensile strain, with some participants expressing uncertainty about their methods. There is a mix of exploratory questions and mathematical reasoning, with at least one participant affirming the correctness of a calculation. However, no consensus has been reached on the final answer.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the information shared and the methods discussed. There is also a mention of thermal strain related to temperature change, introducing additional complexity to the discussion.

tone999
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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
 
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Hi tone999,

tone999 said:

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?
 
elastic modulus = stress/strain

70,000 = 0.01/1000

Answer in pascal units

Is this anywhere near the correct method?
 
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?
 
tone999 said:
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.
 
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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