Young's Modulus of Beam using Moment of Resistance 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%
✖Radius of Neutral Layer is the location within a material under bending where the stress is zero. The neutral layer lies between the compressive and tensile regions of the material.ⓘ Radius of Neutral Layer [R]			+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.ⓘ MOI of Area of Circular Section [I_circular]			+10% -10%

✖Young's Modulus of Beam is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.ⓘ Young's Modulus of Beam using Moment of Resistance [E]

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Young's Modulus of Beam using Moment of Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus of Beam = (Moment of Resistance*Radius of Neutral Layer)/MOI of Area of Circular Section
E = (M_resistance*R)/I_circular
This formula uses 4 Variables

Variables Used

Young's Modulus of Beam - (Measured in Pascal) - Young's Modulus of Beam is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.
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.
Radius of Neutral Layer - (Measured in Meter) - Radius of Neutral Layer is the location within a material under bending where the stress is zero. The neutral layer lies between the compressive and tensile regions of the material.
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.

STEP 1: Convert Input(s) to Base Unit

Moment of Resistance: 7000 Newton Millimeter --> 7 Newton Meter (Check conversion here)
Radius of Neutral Layer: 2 Millimeter --> 0.002 Meter (Check conversion here)
MOI of Area of Circular Section: 1154 Millimeter⁴ --> 1.154E-09 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (M_resistance*R)/I_circular --> (7*0.002)/1.154E-09

Evaluating ... ...

E = 12131715.7712305

STEP 3: Convert Result to Output's Unit

12131715.7712305 Pascal -->12.1317157712305 Megapascal (Check conversion here)

FINAL ANSWER

12.1317157712305 ≈ 12.13172 Megapascal <-- Young's Modulus of Beam

(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

Young's Modulus of Beam using Moment of Resistance Formula

LaTeX Go

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

What is meant by Young's Modulus of Elasticity?

The Young's Modulus of Elasticity (E), commonly referred to as Young's Modulus, is a fundamental mechanical property that measures the stiffness or elasticity of a material. It defines the relationship between stress (force per unit area) and strain (deformation in response to stress) in a material under tension or compression within the elastic limit (the range where the material returns to its original shape after the load is removed).

How to Calculate Young's Modulus of Beam using Moment of Resistance?

Young's Modulus of Beam using Moment of Resistance calculator uses Young's Modulus of Beam = (Moment of Resistance*Radius of Neutral Layer)/MOI of Area of Circular Section to calculate the Young's Modulus of Beam, The Young's Modulus of Beam using Moment of Resistance formula is defined as a measure of the stiffness of a beam, describing the relationship between stress and strain, and is used to calculate the beam's ability to resist bending stress and deformation. Young's Modulus of Beam is denoted by E symbol.

How to calculate Young's Modulus of Beam using Moment of Resistance using this online calculator? To use this online calculator for Young's Modulus of Beam using Moment of Resistance, enter Moment of Resistance (M_resistance), Radius of Neutral Layer (R) & MOI of Area of Circular Section (I_circular) and hit the calculate button. Here is how the Young's Modulus of Beam using Moment of Resistance calculation can be explained with given input values -> 1.2E-5 = (7*0.002)/1.154E-09.

FAQ

What is Young's Modulus of Beam using Moment of Resistance?

The Young's Modulus of Beam using Moment of Resistance formula is defined as a measure of the stiffness of a beam, describing the relationship between stress and strain, and is used to calculate the beam's ability to resist bending stress and deformation and is represented as E = (M_resistance*R)/I_circular or Young's Modulus of Beam = (Moment of Resistance*Radius of Neutral Layer)/MOI of Area of Circular Section. Moment of resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress, Radius of Neutral Layer is the location within a material under bending where the stress is zero. The neutral layer lies between the compressive and tensile regions of the material & 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.

How to calculate Young's Modulus of Beam using Moment of Resistance?

The Young's Modulus of Beam using Moment of Resistance formula is defined as a measure of the stiffness of a beam, describing the relationship between stress and strain, and is used to calculate the beam's ability to resist bending stress and deformation is calculated using Young's Modulus of Beam = (Moment of Resistance*Radius of Neutral Layer)/MOI of Area of Circular Section. To calculate Young's Modulus of Beam using Moment of Resistance, you need Moment of Resistance (M_resistance), Radius of Neutral Layer (R) & MOI of Area of Circular Section (I_circular). With our tool, you need to enter the respective value for Moment of Resistance, Radius of Neutral Layer & MOI of Area 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 Young's Modulus of Beam?

In this formula, Young's Modulus of Beam uses Moment of Resistance, Radius of Neutral Layer & MOI of Area of Circular Section. We can use 2 other way(s) to calculate the same, which is/are as follows -

Young's Modulus of Beam = (Stress in Layer*Radius of Neutral Layer)/Distance from Neutral Layer
Young's Modulus of Beam = (Force on Layer*Radius of Neutral Layer)/(Distance from Neutral Layer*Area of Layer)

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