Average Shear Stress for Circular Section Calculator

✖Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force on Beam [F_s]			+10% -10%
✖Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.ⓘ Radius of Circular Section [r]			+10% -10%

✖Average Shear Stress on Beam is the force per unit area that acts parallel to the cross-section of a structural element, such as a beam.ⓘ Average Shear Stress for Circular Section [𝜏_avg]

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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)
𝜏_avg = F_s/(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 the force per unit area that acts parallel to the cross-section of a structural element, such as a beam.
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) - Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.

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

𝜏_avg = F_s/(pi*r^2) --> 4800/(pi*1.2^2)

Evaluating ... ...

𝜏_avg = 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)

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National Institute Of Technology (NIT), Hamirpur

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< Average Shear Stress Calculators

Shear Force using Maximum Shear Stress

LaTeX Go Shear Force on Beam = (3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2

Average Shear Stress for Circular Section

LaTeX Go Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2)

Average Shear Force for Circular Section

LaTeX 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

LaTeX Go Average Shear Stress on Beam = 3/4*Maximum Shear Stress on Beam

Average Shear Stress for Circular Section Formula

LaTeX Go

Average Shear Stress on Beam = Shear Force on Beam/(pi*Radius of Circular Section^2)
𝜏_avg = F_s/(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, The Average Shear Stress for Circular Section formula is defined as the measure of the average shear stress experienced by a circular section, which is a critical parameter in evaluating the structural integrity of circular components under various loads. Average Shear Stress on Beam is denoted by 𝜏_avg 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 (F_s) & 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?

The Average Shear Stress for Circular Section formula is defined as the measure of the average shear stress experienced by a circular section, which is a critical parameter in evaluating the structural integrity of circular components under various loads and is represented as 𝜏_avg = F_s/(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 & Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.

How to calculate Average Shear Stress for Circular Section?

The Average Shear Stress for Circular Section formula is defined as the measure of the average shear stress experienced by a circular section, which is a critical parameter in evaluating the structural integrity of circular components under various loads 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 (F_s) & 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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