Maximum 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%
✖Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis.ⓘ Moment of Inertia of Area of Section [I]			+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%

✖Maximum Shear Stress on Beam is the highest value of shear stress that occurs at any point within the beam when subjected to external loading, such as transverse forces.ⓘ Maximum Shear Stress for Circular Section [𝜏_max]

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Maximum Shear Stress for Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress on Beam = Shear Force on Beam/(3*Moment of Inertia of Area of Section)*Radius of Circular Section^2
𝜏_max = F_s/(3*I)*r^2
This formula uses 4 Variables

Variables Used

Maximum Shear Stress on Beam - (Measured in Pascal) - Maximum Shear Stress on Beam is the highest value of shear stress that occurs at any point within the beam when subjected to external loading, such as transverse forces.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
Moment of Inertia of Area of Section - (Measured in Meter⁴) - Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis.
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)
Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Radius of Circular Section: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_max = F_s/(3*I)*r^2 --> 4800/(3*0.00168)*1.2^2

Evaluating ... ...

𝜏_max = 1371428.57142857

STEP 3: Convert Result to Output's Unit

1371428.57142857 Pascal -->1.37142857142857 Megapascal (Check conversion here)

FINAL ANSWER

1.37142857142857 ≈ 1.371429 Megapascal <-- Maximum Shear Stress on Beam

(Calculation completed in 00.008 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Maximum Shear Stress Calculators

Maximum Shear Stress for Circular Section

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

Maximum Shear Force given Radius of Circular Section

LaTeX Go Shear Force on Beam = Maximum Shear Stress on Beam*3/4*pi*Radius of Circular Section^2

Maximum Shear Stress given Radius of Circular Section

LaTeX Go Shear Stress in Beam = 4/3*Shear Force on Beam/(pi*Radius of Circular Section^2)

Maximum Shear Stress for Circular Section given Average Shear Stress

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

Maximum Shear Stress for Circular Section Formula

LaTeX Go

Maximum Shear Stress on Beam = Shear Force on Beam/(3*Moment of Inertia of Area of Section)*Radius of Circular Section^2
𝜏_max = F_s/(3*I)*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 Maximum Shear Stress for Circular Section?

Maximum Shear Stress for Circular Section calculator uses Maximum Shear Stress on Beam = Shear Force on Beam/(3*Moment of Inertia of Area of Section)*Radius of Circular Section^2 to calculate the Maximum Shear Stress on Beam, The Maximum Shear Stress for Circular Section formula is defined as a measure of the maximum shear stress that occurs in a circular section, which is a critical parameter in mechanical engineering to determine the structural integrity of circular components under various loads. Maximum Shear Stress on Beam is denoted by 𝜏_max symbol.

How to calculate Maximum Shear Stress for Circular Section using this online calculator? To use this online calculator for Maximum Shear Stress for Circular Section, enter Shear Force on Beam (F_s), Moment of Inertia of Area of Section (I) & Radius of Circular Section (r) and hit the calculate button. Here is how the Maximum Shear Stress for Circular Section calculation can be explained with given input values -> 1.4E-6 = 4800/(3*0.00168)*1.2^2.

FAQ

What is Maximum Shear Stress for Circular Section?

The Maximum Shear Stress for Circular Section formula is defined as a measure of the maximum shear stress that occurs in a circular section, which is a critical parameter in mechanical engineering to determine the structural integrity of circular components under various loads and is represented as 𝜏_max = F_s/(3*I)*r^2 or Maximum Shear Stress on Beam = Shear Force on Beam/(3*Moment of Inertia of Area of Section)*Radius of Circular Section^2. Shear Force on Beam is the force which causes shear deformation to occur in the shear plane, Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis & 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 Maximum Shear Stress for Circular Section?

The Maximum Shear Stress for Circular Section formula is defined as a measure of the maximum shear stress that occurs in a circular section, which is a critical parameter in mechanical engineering to determine the structural integrity of circular components under various loads is calculated using Maximum Shear Stress on Beam = Shear Force on Beam/(3*Moment of Inertia of Area of Section)*Radius of Circular Section^2. To calculate Maximum Shear Stress for Circular Section, you need Shear Force on Beam (F_s), Moment of Inertia of Area of Section (I) & Radius of Circular Section (r). With our tool, you need to enter the respective value for Shear Force on Beam, Moment of Inertia of Area of Section & 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 Maximum Shear Stress on Beam?

In this formula, Maximum Shear Stress on Beam uses Shear Force on Beam, Moment of Inertia of Area of Section & Radius of Circular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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