Uniform Lateral Pressure on a bar.

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SUMMARY

The discussion focuses on calculating the contraction and change in thickness of a bar subjected to a uniform lateral pressure of 80 MN/m² and an axial load. The solution involves applying the 3D version of Hooke's stress-strain law, utilizing the modulus of elasticity and Poisson's ratio. The original volume and the change in volume after the axial load have been determined, which are critical for solving the problem. Participants are encouraged to explore further calculations related to these parameters.

PREREQUISITES
  • Understanding of Hooke's stress-strain law in three dimensions
  • Knowledge of modulus of elasticity and Poisson's ratio
  • Familiarity with volume change calculations under axial loads
  • Basic principles of mechanics of materials
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  • Study the application of the 3D version of Hooke's stress-strain law
  • Research methods for calculating volume changes under combined loading conditions
  • Explore the effects of lateral pressure on material deformation
  • Learn about advanced applications of Poisson's ratio in engineering problems
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Mechanical engineers, materials scientists, and students studying mechanics of materials who are dealing with stress and strain analysis in structural components.

uncletom1337
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Hey all, been struggling through this question all afternoon, was wondering if someone could shine some light on the subject please?

QUESTION:
If a uniform lateral pressure of 80MN/m (2), is applied to the four sides of the bar, in addition to the axial load, find the contraction on the 200mm gauge length and the change in thickness.



Can someone point me in the right direction please? I have worked out the original volume of the bar, the change in volume after the axial load has been applied. the modulus of elasticity and poissons ratio.

Anything else can be added after reply.

Appreciated and thanks for taking the time to have a read.
 
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This problem is solved using the 3D version of Hooke's stress strain law, involving modulus of elasticity and Poisson's ratio.
 

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