Shear Force using Maximum Shear Stress Calculator

✖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%
✖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 on Beam [𝜏_max]			+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%

✖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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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 a geometric property that quantifies how a cross-sectional area is distributed relative to an axis.
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.
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

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 00.020 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

Shear Force using Maximum Shear Stress Formula

LaTeX Go

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 defined as a measure of the maximum force that can be applied to a circular section without causing it to deform or break, typically used in mechanical engineering to design and analyze structures and machines. 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 defined as a measure of the maximum force that can be applied to a circular section without causing it to deform or break, typically used in mechanical engineering to design and analyze structures and machines 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 a geometric property that quantifies how a cross-sectional area is distributed relative to an axis, 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 & 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 Shear Force using Maximum Shear Stress?

The Shear Force using Maximum Shear Stress formula is defined as a measure of the maximum force that can be applied to a circular section without causing it to deform or break, typically used in mechanical engineering to design and analyze structures and machines 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 2 other way(s) to calculate the same, which is/are as follows -

Shear Force on Beam = pi*Radius of Circular Section^2*Average Shear Stress on Beam
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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