How to Calculate Strain and Dimensional Changes in Complex Loading Systems

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Homework Help Overview

The discussion revolves around calculating strain and dimensional changes in materials subjected to axial tensile loads, specifically focusing on a rectangular cross-section bar and a circular cross-section bar. The problem involves understanding the relationships between axial strain, lateral strain, and material properties such as modulus of elasticity and Poisson's ratio.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to determine axial strain, lateral strain, and changes in cross-sectional dimensions for two different bar shapes under tensile loads. Some participants question the relationships between strains and material properties, while others provide references for further reading.

Discussion Status

The discussion is ongoing, with some participants offering helpful references and clarifications regarding the concepts of strain and material behavior under load. The original poster expresses a need for assistance, indicating that they are still grappling with the concepts involved.

Contextual Notes

The original poster mentions confusion due to missed classes and a lack of support from their lecturer, which may contribute to their difficulties in understanding the material.

smiffy66
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I missed a day at college last week when i was off sick due to tonsilitis. I received some homework today and it is going to be similar to a test next week. I really need to know how to do this and the lecturer has not been very helpful either.


A) I have a rectangular cross-section bar that is, 100mm x 40mm square and 500mm long. This is subjected to an axial tensile load of 210kN.

From this information i need to determine.
1) The axial strain.
2) The lateral strain.
3) The changes in cross sectional dimensions.

The material has a modulus of elasticity 80GPa, and poissons ratio of 0.25.


B) A bar of circular cross-section is subjected to a tensile load of 210kN, which is within the elastic range. The bar is made from a steel with 80GPa and Poissons ration = 0.25, it has a diameter of 25mm and 0.8m long. Determine the extension of the bar and the decrease in diameter..



Please give me as much help as you can as i am finding this very confusing, all help is appreciated.
 
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Also:

The lateral strain at any point in a bar is usually proportional to the axial strain at the same point if the material is linearly elastic, and the ratio of the lateral strain to the axial strain is known as Poisson's ratio (n).
http://www.me.cmu.edu/academics/courses/NSF_Edu_Proj/StrAnalysis_ANSYS/pb1_part1_8.html
 
Last edited by a moderator:
Thanks for the help, i should be able to make an attempt now at least. :)
 

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