Torsional shear stress for square bars

In summary, to calculate the torsional shear stress for square bars, you need to study shear flow and use the equation σ=(Ta)/J, where a is the shortest side of the bar. The value of J can be calculated using the equation J=C(1/3)(b)(a^3), where b is the longer side of the bar and C is a constant (0.91 if b<10a and 1 if b>10a). Alternatively, there are tables and online resources that can help with the calculation.
  • #1
vg18492
1
0
Hi
can anyone help how to calculate torsional shear stress for square bars

Regards,
venkata prasad.G
 
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  • #2
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
 
  • #3
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
 

FAQ: Torsional shear stress for square bars

What is torsional shear stress?

Torsional shear stress is a type of stress that occurs when a force is applied to an object in a twisting or rotating motion. It is caused by shear forces that act parallel to the material's cross-sectional area.

How is torsional shear stress calculated?

Torsional shear stress can be calculated using the formula τ = T*r/J, where τ is the shear stress, T is the applied torque, r is the radius of the material, and J is the polar moment of inertia.

What is the significance of torsional shear stress for square bars?

For square bars, torsional shear stress plays a critical role in determining the strength and stability of the material. It is especially important in applications where the bar is subjected to twisting or rotational forces.

How does the material of the square bar affect torsional shear stress?

The material of the square bar can greatly impact the torsional shear stress it can withstand. Different materials have different shear strength and elastic modulus, which can affect how much force the bar can handle before failure.

What are some common applications of square bars where torsional shear stress is a concern?

Square bars are commonly used in construction, machinery, and automotive industries. Torsional shear stress is a significant factor in the design and performance of components such as drive shafts, gears, and structural supports.

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