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 the second moment of the area of the section about the neutral axis.ⓘ Moment of Inertia of Area of Section [I]			+10% -10%
✖The Radius of Circular Section is the distance from center of circle to the the circle.ⓘ Radius of Circular Section [R]			+10% -10%

✖Maximum Shear Stress on Beam that acts coplanar with a cross-section of material arises due to shear forces.ⓘ Maximum Shear Stress for Circular Section [𝜏_max]

⎘ Copy

👎

Formula

✖

Maximum Shear Stress for Circular Section

Formula

`"𝜏"_{"max"} = "F"_{"s"}/(3*"I")*"R"^2`

Example

`"1.371429MPa"="4.8kN"/(3*"0.00168m⁴")*("1200mm")^2`

Calculator

LaTeX

Reset

👍

Download Shear Stress in Circular Section Formulas PDF PDF Image

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 that acts coplanar with a cross-section of material arises due to shear 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 the second moment of the area of the section about the neutral axis.
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)
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 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Shear Stress In Beam » Shear Stress Distribution for Different Sections » Shear Stress in Circular Section » Maximum Shear Stress » Maximum Shear Stress for Circular Section

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Calculator and 400+ more calculators!

< 4 Maximum Shear Stress Calculators

Maximum Shear Stress for Circular Section

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

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

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

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

Maximum Shear Stress for Circular Section Formula

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 occurs at the neutral axis and is zero at both the top and bottom surface of the beam. Shear flow has the units of force per unit distance. 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 occurs at the neutral axis and is zero at both the top and bottom surface of the beam. Shear flow has the units of force per unit distance 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 the second moment of the area of the section about the neutral axis & The Radius of Circular Section is the distance from center of circle to the the circle.

How to calculate Maximum Shear Stress for Circular Section?

The Maximum shear stress for circular section occurs at the neutral axis and is zero at both the top and bottom surface of the beam. Shear flow has the units of force per unit distance 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

Home

FREE PDFs

🔍 Search