Average Shear Stress for Circular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2)
𝜏avg = Fs/(pi*R^2)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Average Shear Stress on Beam - (Measured in Pascal) - Average Shear Stress on Beam is defined as the the shear load divided by the area.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
Radius of Circular Section - (Measured in Meter) - The Radius of Circular Section is the distance from center of circle to the the circle.
STEP 1: Convert Input(s) to Base Unit
Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
Radius of Circular Section: 1200 Millimeter --> 1.2 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏avg = Fs/(pi*R^2) --> 4800/(pi*1.2^2)
Evaluating ... ...
𝜏avg = 1061.03295394597
STEP 3: Convert Result to Output's Unit
1061.03295394597 Pascal -->0.00106103295394597 Megapascal (Check conversion here)
FINAL ANSWER
0.00106103295394597 0.001061 Megapascal <-- Average Shear Stress on Beam
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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3 Average Shear Stress Calculators

Average Shear Stress for Circular Section
Go Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2)
Average Shear Force for Circular Section
Go Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam
Average Shear Stress for Circular Section given Maximum Shear Stress
Go Average Shear Stress on Beam = 3/4*Maximum Shear Stress on Beam

Average Shear Stress for Circular Section Formula

Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2)
𝜏avg = Fs/(pi*R^2)

What is shear stress and strain?

When a force acts parallel to the surface of an object, it exerts a shear stress. Let's consider a rod under uniaxial tension. The rod elongates under this tension to a new length, and the normal strain is a ratio of this small deformation to the rod's original length.

How to Calculate Average Shear Stress for Circular Section?

Average Shear Stress for Circular Section calculator uses Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2) to calculate the Average Shear Stress on Beam, Average Shear Stress for Circular Section is defined as the shear load divided by the area. Shear loads are generally identified by the symbol V and shear stress by the greek symbol tau, τ. Average Shear Stress on Beam is denoted by 𝜏avg symbol.

How to calculate Average Shear Stress for Circular Section using this online calculator? To use this online calculator for Average Shear Stress for Circular Section, enter Shear Force on Beam (Fs) & Radius of Circular Section (R) and hit the calculate button. Here is how the Average Shear Stress for Circular Section calculation can be explained with given input values -> 1.1E-9 = 4800/(pi*1.2^2).

FAQ

What is Average Shear Stress for Circular Section?
Average Shear Stress for Circular Section is defined as the shear load divided by the area. Shear loads are generally identified by the symbol V and shear stress by the greek symbol tau, τ and is represented as 𝜏avg = Fs/(pi*R^2) or Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2). Shear Force on Beam is the force which causes shear deformation to occur in the shear plane & The Radius of Circular Section is the distance from center of circle to the the circle.
How to calculate Average Shear Stress for Circular Section?
Average Shear Stress for Circular Section is defined as the shear load divided by the area. Shear loads are generally identified by the symbol V and shear stress by the greek symbol tau, τ is calculated using Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2). To calculate Average Shear Stress for Circular Section, you need Shear Force on Beam (Fs) & Radius of Circular Section (R). With our tool, you need to enter the respective value for Shear Force on Beam & Radius of Circular Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Average Shear Stress on Beam?
In this formula, Average Shear Stress on Beam uses Shear Force on Beam & Radius of Circular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Average Shear Stress on Beam = 3/4*Maximum Shear Stress on Beam
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