Shear Stress Distribution 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%
✖The Radius of Circular Section is the distance from center of circle to the the circle.ⓘ Radius of Circular Section [R]			+10% -10%
✖Distance from Neutral Axis is the distance of the considered layer from the neutral layer.ⓘ Distance from Neutral Axis [y]			+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%
✖Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Beam Section [B]			+10% -10%

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

⎘ Copy

👎

Formula

✖

Shear Stress Distribution for Circular Section

Formula

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

Example

`"32.91343MPa"=("4.8kN"*2/3*(("1200mm")^2-("5mm")^2)^(3/2))/("0.00168m⁴"*"100mm")`

Calculator

LaTeX

Reset

👍

Download Shear Stress in Circular Section Formulas PDF PDF Image

Shear Stress Distribution for Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress on Beam = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Width of Beam Section)
𝜏_max = (F_s*2/3*(R^2-y^2)^(3/2))/(I*B)
This formula uses 6 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.
Radius of Circular Section - (Measured in Meter) - The Radius of Circular Section is the distance from center of circle to the the circle.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is the distance of the considered layer from the neutral layer.
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.
Width of Beam Section - (Measured in Meter) - Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.

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)
Distance from Neutral Axis: 5 Millimeter --> 0.005 Meter (Check conversion here)
Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Width of Beam Section: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_max = (F_s*2/3*(R^2-y^2)^(3/2))/(I*B) --> (4800*2/3*(1.2^2-0.005^2)^(3/2))/(0.00168*0.1)

Evaluating ... ...

𝜏_max = 32913428.5751488

STEP 3: Convert Result to Output's Unit

32913428.5751488 Pascal -->32.9134285751488 Megapascal (Check conversion here)

FINAL ANSWER

32.9134285751488 ≈ 32.91343 Megapascal <-- Maximum Shear Stress on Beam

(Calculation completed in 00.020 seconds)

You are here -

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

< 5 Shear Stress in Circular Section Calculators

Shear Stress Distribution for Circular Section

Go Maximum Shear Stress on Beam = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Width of Beam Section)

Width of Beam at Considered Level given Shear Stress for Circular Section

Go Width of Beam Section = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Shear Stress in Beam)

Shear Force in Circular Section

Go Shear Force on Beam = (Shear Stress in Beam*Moment of Inertia of Area of Section*Width of Beam Section)/(2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))

Shear Force using Maximum Shear Stress

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

Width of Beam at Considered Level given Radius of Circular Section

Go Width of Beam Section = 2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2)

Shear Stress Distribution for Circular Section Formula

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 Shear Stress Distribution for Circular Section?

Shear Stress Distribution for Circular Section calculator uses Maximum Shear Stress on Beam = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Width of Beam Section) to calculate the Maximum Shear Stress on Beam, The Shear stress distribution for circular section formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Maximum Shear Stress on Beam is denoted by 𝜏_max symbol.

How to calculate Shear Stress Distribution for Circular Section using this online calculator? To use this online calculator for Shear Stress Distribution for Circular Section, enter Shear Force on Beam (F_s), Radius of Circular Section (R), Distance from Neutral Axis (y), Moment of Inertia of Area of Section (I) & Width of Beam Section (B) and hit the calculate button. Here is how the Shear Stress Distribution for Circular Section calculation can be explained with given input values -> 3.3E-5 = (4800*2/3*(1.2^2-0.005^2)^(3/2))/(0.00168*0.1).

FAQ

What is Shear Stress Distribution for Circular Section?

The Shear stress distribution for circular section formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as 𝜏_max = (F_s*2/3*(R^2-y^2)^(3/2))/(I*B) or Maximum Shear Stress on Beam = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Width of Beam Section). 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, Distance from Neutral Axis is the distance of the considered layer from the neutral layer, Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis & Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.

How to calculate Shear Stress Distribution for Circular Section?

The Shear stress distribution for circular section formula is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Maximum Shear Stress on Beam = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Width of Beam Section). To calculate Shear Stress Distribution for Circular Section, you need Shear Force on Beam (F_s), Radius of Circular Section (R), Distance from Neutral Axis (y), Moment of Inertia of Area of Section (I) & Width of Beam Section (B). With our tool, you need to enter the respective value for Shear Force on Beam, Radius of Circular Section, Distance from Neutral Axis, Moment of Inertia of Area of Section & Width of Beam Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search