Moment of Inertia of Area of Section of Beam given Stress in Layer Calculator

✖Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.ⓘ Moment of Resistance [M_resistance]			+10% -10%
✖Distance from Neutral Layer is the perpendicular distance from a given point in a beam or structural member to the neutral axis when the member is subjected to bending.ⓘ Distance from Neutral Layer [d_nl]			+10% -10%
✖Stress in Layer is the internal resistance offered by a material to deformation when subjected to external forces.ⓘ Stress in Layer [σ]			+10% -10%

✖MOI of Area of Circular Section define its resistance to rotation or bending when subjected to external forces. A larger MOI means the structure will be more resistant to deformation.ⓘ Moment of Inertia of Area of Section of Beam given Stress in Layer [I_circular]

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Moment of Inertia of Area of Section of Beam given Stress in Layer Solution

STEP 0: Pre-Calculation Summary

Formula Used

MOI of Area of Circular Section = (Moment of Resistance*Distance from Neutral Layer)/Stress in Layer
I_circular = (M_resistance*d_nl)/σ
This formula uses 4 Variables

Variables Used

MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section define its resistance to rotation or bending when subjected to external forces. A larger MOI means the structure will be more resistant to deformation.
Moment of Resistance - (Measured in Newton Meter) - Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.
Distance from Neutral Layer - (Measured in Meter) - Distance from Neutral Layer is the perpendicular distance from a given point in a beam or structural member to the neutral axis when the member is subjected to bending.
Stress in Layer - (Measured in Pascal) - Stress in Layer is the internal resistance offered by a material to deformation when subjected to external forces.

STEP 1: Convert Input(s) to Base Unit

Moment of Resistance: 7000 Newton Millimeter --> 7 Newton Meter (Check conversion here)
Distance from Neutral Layer: 12 Millimeter --> 0.012 Meter (Check conversion here)
Stress in Layer: 18 Megapascal --> 18000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_circular = (M_resistance*d_nl)/σ --> (7*0.012)/18000000

Evaluating ... ...

I_circular = 4.66666666666667E-09

STEP 3: Convert Result to Output's Unit

4.66666666666667E-09 Meter⁴ -->4666.66666666667 Millimeter⁴ (Check conversion here)

FINAL ANSWER

4666.66666666667 ≈ 4666.667 Millimeter⁴ <-- MOI of Area of Circular Section

(Calculation completed in 00.004 seconds)

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< Stress Variation Calculators

Radius of Neutral Axis using Moment of Resistance

LaTeX Go Radius of Neutral Layer = (Young's Modulus of Beam*MOI of Area of Circular Section)/Moment of Resistance

Distance between Neutral and Considered Layer using Moment of Resistance

LaTeX Go Distance from Neutral Layer = (Stress in Layer*MOI of Area of Circular Section)/Moment of Resistance

Moment of Resistance using Stress in Layer of Beam

LaTeX Go Moment of Resistance = (Stress in Layer*MOI of Area of Circular Section)/Distance from Neutral Layer

Stress in Layer of Beam given Moment of Resistance

LaTeX Go Stress in Layer = (Moment of Resistance*Distance from Neutral Layer)/MOI of Area of Circular Section

Moment of Inertia of Area of Section of Beam given Stress in Layer Formula

LaTeX Go

MOI of Area of Circular Section = (Moment of Resistance*Distance from Neutral Layer)/Stress in Layer
I_circular = (M_resistance*d_nl)/σ

What is Moment of Inertia?

The Moment of Inertia (I), also known as the second moment of area, is a geometric property of a cross-section that quantifies its resistance to bending and torsion. It plays a crucial role in structural and mechanical engineering, particularly in analyzing beams and other load-bearing structures.

How to Calculate Moment of Inertia of Area of Section of Beam given Stress in Layer?

Moment of Inertia of Area of Section of Beam given Stress in Layer calculator uses MOI of Area of Circular Section = (Moment of Resistance*Distance from Neutral Layer)/Stress in Layer to calculate the MOI of Area of Circular Section, The Moment of Inertia of Area of Section of Beam given Stress in Layer formula is defined as a measure of the resistance of a beam's cross-sectional area to bending stress, providing a way to calculate the beam's ability to withstand external forces and stresses. MOI of Area of Circular Section is denoted by I_circular symbol.

How to calculate Moment of Inertia of Area of Section of Beam given Stress in Layer using this online calculator? To use this online calculator for Moment of Inertia of Area of Section of Beam given Stress in Layer, enter Moment of Resistance (M_resistance), Distance from Neutral Layer (d_nl) & Stress in Layer (σ) and hit the calculate button. Here is how the Moment of Inertia of Area of Section of Beam given Stress in Layer calculation can be explained with given input values -> 4.7E+15 = (7*0.012)/18000000.

FAQ

What is Moment of Inertia of Area of Section of Beam given Stress in Layer?

The Moment of Inertia of Area of Section of Beam given Stress in Layer formula is defined as a measure of the resistance of a beam's cross-sectional area to bending stress, providing a way to calculate the beam's ability to withstand external forces and stresses and is represented as I_circular = (M_resistance*d_nl)/σ or MOI of Area of Circular Section = (Moment of Resistance*Distance from Neutral Layer)/Stress in Layer. Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress, Distance from Neutral Layer is the perpendicular distance from a given point in a beam or structural member to the neutral axis when the member is subjected to bending & Stress in Layer is the internal resistance offered by a material to deformation when subjected to external forces.

How to calculate Moment of Inertia of Area of Section of Beam given Stress in Layer?

The Moment of Inertia of Area of Section of Beam given Stress in Layer formula is defined as a measure of the resistance of a beam's cross-sectional area to bending stress, providing a way to calculate the beam's ability to withstand external forces and stresses is calculated using MOI of Area of Circular Section = (Moment of Resistance*Distance from Neutral Layer)/Stress in Layer. To calculate Moment of Inertia of Area of Section of Beam given Stress in Layer, you need Moment of Resistance (M_resistance), Distance from Neutral Layer (d_nl) & Stress in Layer (σ). With our tool, you need to enter the respective value for Moment of Resistance, Distance from Neutral Layer & Stress in Layer 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 MOI of Area of Circular Section?

In this formula, MOI of Area of Circular Section uses Moment of Resistance, Distance from Neutral Layer & Stress in Layer. We can use 1 other way(s) to calculate the same, which is/are as follows -

MOI of Area of Circular Section = (Moment of Resistance*Radius of Neutral Layer)/Young's Modulus of Beam

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