Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Calculator

✖Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column.ⓘ Moment due to Eccentric Load [M]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [d]			+10% -10%
✖Maximum Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Maximum Bending Stress [σb^max]			+10% -10%

✖MOI of Area of Circular Section is the second moment of the area of the circular section about the neutral axis.ⓘ Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section [I_circular]

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Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

MOI of Area of Circular Section = (Moment due to Eccentric Load*Diameter)/(2*Maximum Bending Stress)
I_circular = (M*d)/(2*σb^max)
This formula uses 4 Variables

Variables Used

MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section is the second moment of the area of the circular section about the neutral axis.
Moment due to Eccentric Load - (Measured in Newton Meter) - Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Maximum Bending Stress - (Measured in Pascal) - Maximum Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

STEP 1: Convert Input(s) to Base Unit

Moment due to Eccentric Load: 0.000256 Newton Meter --> 0.000256 Newton Meter No Conversion Required
Diameter: 142 Millimeter --> 0.142 Meter (Check conversion here)
Maximum Bending Stress: 1263.432 Megapascal --> 1263432000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_circular = (M*d)/(2*σb^max) --> (0.000256*0.142)/(2*1263432000)

Evaluating ... ...

I_circular = 1.43862115254323E-14

STEP 3: Convert Result to Output's Unit

1.43862115254323E-14 Meter⁴ -->0.0143862115254323 Millimeter⁴ (Check conversion here)

FINAL ANSWER

0.0143862115254323 ≈ 0.014386 Millimeter⁴ <-- MOI of Area of Circular Section

(Calculation completed in 00.020 seconds)

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< Middle Quarter Rule for Circular Section Calculators

Eccentricity of Load given Minimum Bending Stress

LaTeX Go Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column))

Condition for Maximum Bending Stress given Diameter

LaTeX Go Diameter = 2*Distance from Neutral Layer

Diameter of Circular Section given Maximum Value of Eccentricity

LaTeX Go Diameter = 8*Eccentricity of Loading

Maximum value of Eccentricity for No Tensile Stress

LaTeX Go Eccentricity of Loading = Diameter/8

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Formula

LaTeX Go

MOI of Area of Circular Section = (Moment due to Eccentric Load*Diameter)/(2*Maximum Bending Stress)
I_circular = (M*d)/(2*σb^max)

What is Shear Stress and Strain?

Shear strain is the deformation of an object or medium under shear stress. The shear modulus is the elastic modulus in this case. Shear stress is caused by forces acting along the object's two parallel surfaces.

How to Calculate Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section?

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section calculator uses MOI of Area of Circular Section = (Moment due to Eccentric Load*Diameter)/(2*Maximum Bending Stress) to calculate the MOI of Area of Circular Section, The Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, specifically for circular sections under maximum bending stress, providing a crucial parameter in structural analysis and design. MOI of Area of Circular Section is denoted by I_circular symbol.

How to calculate Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section using this online calculator? To use this online calculator for Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section, enter Moment due to Eccentric Load (M), Diameter (d) & Maximum Bending Stress (σb^max) and hit the calculate button. Here is how the Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section calculation can be explained with given input values -> 4.6E+14 = (0.000256*0.142)/(2*1263432000).

FAQ

What is Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section?

The Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, specifically for circular sections under maximum bending stress, providing a crucial parameter in structural analysis and design and is represented as I_circular = (M*d)/(2*σb^max) or MOI of Area of Circular Section = (Moment due to Eccentric Load*Diameter)/(2*Maximum Bending Stress). Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & Maximum Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

How to calculate Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section?

The Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, specifically for circular sections under maximum bending stress, providing a crucial parameter in structural analysis and design is calculated using MOI of Area of Circular Section = (Moment due to Eccentric Load*Diameter)/(2*Maximum Bending Stress). To calculate Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section, you need Moment due to Eccentric Load (M), Diameter (d) & Maximum Bending Stress (σb^max). With our tool, you need to enter the respective value for Moment due to Eccentric Load, Diameter & Maximum Bending Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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