Moment of Inertia of Circular Section given Maximum Shear Stress 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%
✖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%

✖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 Circular Section given Maximum Shear Stress [I]

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Moment of Inertia of Circular Section given Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
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

Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
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

I = F_s/(3*𝜏_max)*r^2 --> 4800/(3*11000000)*1.2^2

Evaluating ... ...

I = 0.000209454545454545

STEP 3: Convert Result to Output's Unit

0.000209454545454545 Meter⁴ --> No Conversion Required

FINAL ANSWER

0.000209454545454545 ≈ 0.000209 Meter⁴ <-- Moment of Inertia of Area of Section

(Calculation completed in 00.004 seconds)

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< Moment of Inertia Calculators

Moment of Inertia of Circular Section given Shear Stress

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

Moment of Inertia of Circular Section given Maximum Shear Stress

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

Area Moment of Considered Area about Neutral Axis

LaTeX Go First Moment of Area = 2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2)

Moment of Inertia of Circular Section

LaTeX Go Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4

Moment of Inertia of Circular Section given Maximum Shear Stress Formula

LaTeX Go

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

Moment of Inertia of Circular Section given Maximum Shear Stress calculator uses Moment of Inertia of Area of Section = Shear Force on Beam/(3*Maximum Shear Stress on Beam)*Radius of Circular Section^2 to calculate the Moment of Inertia of Area of Section, The Moment of Inertia of Circular Section given Maximum Shear Stress formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, specifically in a circular section where the maximum shear stress is a critical factor in determining the object's stability and structural integrity. Moment of Inertia of Area of Section is denoted by I symbol.

How to calculate Moment of Inertia of Circular Section given Maximum Shear Stress using this online calculator? To use this online calculator for Moment of Inertia of Circular Section given Maximum Shear Stress, enter Shear Force on Beam (F_s), Maximum Shear Stress on Beam (𝜏_max) & Radius of Circular Section (r) and hit the calculate button. Here is how the Moment of Inertia of Circular Section given Maximum Shear Stress calculation can be explained with given input values -> 0.000209 = 4800/(3*11000000)*1.2^2.

FAQ

What is Moment of Inertia of Circular Section given Maximum Shear Stress?

The Moment of Inertia of Circular Section given Maximum Shear Stress formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, specifically in a circular section where the maximum shear stress is a critical factor in determining the object's stability and structural integrity and is represented as I = F_s/(3*𝜏_max)*r^2 or Moment of Inertia of Area of Section = Shear Force on Beam/(3*Maximum Shear Stress on Beam)*Radius of Circular Section^2. Shear Force on Beam is the force which causes shear deformation to occur in the shear plane, 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 Moment of Inertia of Circular Section given Maximum Shear Stress?

The Moment of Inertia of Circular Section given Maximum Shear Stress formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, specifically in a circular section where the maximum shear stress is a critical factor in determining the object's stability and structural integrity is calculated using Moment of Inertia of Area of Section = Shear Force on Beam/(3*Maximum Shear Stress on Beam)*Radius of Circular Section^2. To calculate Moment of Inertia of Circular Section given Maximum Shear Stress, you need Shear Force on Beam (F_s), Maximum Shear Stress on Beam (𝜏_max) & Radius of Circular Section (r). With our tool, you need to enter the respective value for Shear Force on Beam, 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 Moment of Inertia of Area of Section?

In this formula, Moment of Inertia of Area of Section uses Shear Force on Beam, 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 -

Moment of Inertia of Area of Section = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Shear Stress in Beam*Width of Beam Section)
Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4

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