Need Help with Mechanical Principles: Calculating Stress, Strain, and Extension

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SUMMARY

The discussion focuses on calculating mechanical principles related to stress, strain, and extension for a steel bar subjected to a tensile force. The specific parameters include a steel bar with a diameter of 70mm, a tensile force of 120kN, and a modulus of elasticity (E) of 200GN/m² with a length of 400mm. Key equations discussed include tensile stress (σ = F/A), tensile strain (ε = ΔL/L), and the relationship between stress, strain, and modulus of elasticity (E = σ/ε). Participants provided insights on how to derive extension from strain and length.

PREREQUISITES
  • Understanding of tensile stress calculations
  • Familiarity with strain and its relationship to extension
  • Knowledge of modulus of elasticity (E) in materials
  • Basic principles of mechanics and material science
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  • Study the calculation of tensile stress using the formula σ = F/A
  • Learn about the relationship between stress, strain, and modulus of elasticity
  • Explore methods to calculate extension using strain and original length
  • Investigate the properties of materials under tensile loads, focusing on steel
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Students and professionals in mechanical engineering, materials science, and anyone involved in structural analysis or design requiring knowledge of stress and strain calculations.

Curly91
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Hey guys. Just signed up hear after finding the website. I really need some help on Mechanical Principles as i have just been handed work to do once i came back from my car crash. I don't have a clue what any of it means so i could really do with your help.

One of the questions is: A steel bar of 70mm dia is subjected to a pull of 120kN. If E=200GN/m2 and the length is 400mm, calculate:
a) the tensile stress
b) the tensile straing
c) the extension

Any help at all would be appreciated.
 
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Can you write down any of the relevant equations? How does stress relate to strain and modulus (E)? If you know strain, and the total length, how would you find extension?
 

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