Shear Force using Maximum Shear Stress Calculator

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

✖Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force using Maximum Shear Stress [F_s]

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Formula

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Shear Force using Maximum Shear Stress

Formula

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

Example

`"38.5kN"=(3*"0.00168m⁴"*"11MPa")/("1200mm")^2`

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Shear Force using Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Maximum Shear Stress on Beam: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Radius of Circular Section: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = (3*I*𝜏_max)/R^2 --> (3*0.00168*11000000)/1.2^2

Evaluating ... ...

F_s = 38500

STEP 3: Convert Result to Output's Unit

38500 Newton -->38.5 Kilonewton (Check conversion here)

FINAL ANSWER

38.5 Kilonewton <-- Shear Force on Beam

(Calculation completed in 00.018 seconds)

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< 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 Force using Maximum Shear Stress Formula

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

What is shear force 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. Shearing forces are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction.

How to Calculate Shear Force using Maximum Shear Stress?

Shear Force using Maximum Shear Stress calculator uses Shear Force on Beam = (3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2 to calculate the Shear Force on Beam, The Shear Force using Maximum Shear Stress formula is a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. Shear Force on Beam is denoted by F_s symbol.

How to calculate Shear Force using Maximum Shear Stress using this online calculator? To use this online calculator for Shear Force using Maximum Shear Stress, enter Moment of Inertia of Area of Section (I), Maximum Shear Stress on Beam (𝜏_max) & Radius of Circular Section (R) and hit the calculate button. Here is how the Shear Force using Maximum Shear Stress calculation can be explained with given input values -> 0.0385 = (3*0.00168*11000000)/1.2^2.

FAQ

What is Shear Force using Maximum Shear Stress?

The Shear Force using Maximum Shear Stress formula is a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction and is represented as F_s = (3*I*𝜏_max)/R^2 or Shear Force on Beam = (3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2. Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis, Maximum Shear Stress on Beam that acts coplanar with a cross-section of material arises due to shear forces & The Radius of Circular Section is the distance from center of circle to the the circle.

How to calculate Shear Force using Maximum Shear Stress?

The Shear Force using Maximum Shear Stress formula is a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction is calculated using Shear Force on Beam = (3*Moment of Inertia of Area of Section*Maximum Shear Stress on Beam)/Radius of Circular Section^2. To calculate Shear Force using Maximum Shear Stress, you need Moment of Inertia of Area of Section (I), Maximum Shear Stress on Beam (𝜏_max) & Radius of Circular Section (R). With our tool, you need to enter the respective value for Moment of Inertia of Area of Section, Maximum Shear Stress 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 Shear Force on Beam?

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

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))

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