Torsional shear stress for square bars

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SUMMARY

The calculation of torsional shear stress for square bars involves understanding the mechanics of materials, specifically the relationship between shear flow and torsion. The primary equation used is σ=(Ta)/J, where 'a' represents the shortest side of the bar. The polar moment of inertia 'J' can be calculated using J=C(1/3)(b)(a^3), with 'b' as the longer side and 'C' dependent on the ratio of 'b' to 'a'. Resources such as the provided PDF and specific web pages can assist in further understanding and application.

PREREQUISITES
  • Understanding of mechanics of materials
  • Familiarity with shear flow concepts
  • Knowledge of polar moment of inertia calculations
  • Basic proficiency in using engineering reference materials
NEXT STEPS
  • Study the mechanics of materials focusing on torsion and shear stress
  • Learn how to calculate polar moment of inertia for various shapes
  • Explore engineering tables for torsional shear stress calculations
  • Review additional resources on shear flow and its applications in materials
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Mechanical engineers, materials scientists, and students studying mechanics of materials will benefit from this discussion, particularly those focused on torsional stress analysis in structural applications.

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Hi
can anyone help how to calculate torsional shear stress for square bars

Regards,
venkata prasad.G
 
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You need to study 'shear flow' in relation to this. This is a mechanics of materials property not the shear flow regime we see in fluids, although they are related.

Try this pdf

http://www.aerostudents.com/files/mechanicsOfMaterials/shearStressAndShearFlow.pdf
 
It depends on your ratio of height and width of the bar. The equation you would use to calculate the stress is as follows.

σ=(Ta)/J

a = shortest side

The trick is figuring out what J is. There are a couple methods. The first method which isn't always accurate would be to use this equation.

J=C(1/3)(b)(a^3)
b= longer side

C = .91 if , b<10a
C= 1 of b>10a

There are also tables out there that you can use to help you solve for the stress.

For a quick reference you can also look at this webpage:
http://www.sbainvent.com/strength_of_materials/noncircular-torsion.php
 

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