How Do You Calculate Tensile Load from Stress and Strain?

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SUMMARY

The calculation of tensile load from stress and strain involves using the Young's modulus and the axial strain of the material. In this discussion, a beam with an axial strain of 500x10^-6 and a Young's modulus of 200 GN/m² was analyzed. The stress was calculated to be 36 MN/m². To find the tensile load, the formula stress = Force/Area is applied, where the tensile load represents the force acting on the beam.

PREREQUISITES
  • Understanding of Young's modulus and its application in material science
  • Knowledge of stress and strain concepts in mechanics
  • Familiarity with dimensional analysis techniques
  • Ability to manipulate formulas related to force and area
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  • Study the relationship between stress, strain, and Young's modulus in detail
  • Learn how to apply dimensional analysis in engineering problems
  • Explore the calculation of tensile load using different cross-sectional areas
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Mechanical engineers, structural engineers, and students studying material mechanics will benefit from this discussion on calculating tensile load from stress and strain.

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Question:

A beam is givn with an axial strain of 500x10^-6 and a Young's modulus of 200GNm^-2. work out the magnitude of the tenslie load.

Rlelvnt equations:

σ = YM x Axial strain

My workng:

So far I have worked out the stress of the beam to be:
36000000Nm^2
36MNm^2

But from here I don't know how to get the tensile load. Is there a formula I can use?

Picture of beam attached.

Thnx
 

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Use dimensional analysis
 
The same way you did it in the other thread.


stress=\frac{Force}{Area}

The tensile load is the force in the above formula.
 

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