Moment of Resistance Calculator

✖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 [E]			+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%
✖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%

✖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]

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Moment of Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus of Beam: 14 Megapascal --> 14000000 Pascal (Check conversion here)
MOI of Area of Circular Section: 1154 Millimeter⁴ --> 1.154E-09 Meter⁴ (Check conversion here)
Radius of Neutral Layer: 2 Millimeter --> 0.002 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_resistance = (E*I_circular)/R --> (14000000*1.154E-09)/0.002

Evaluating ... ...

M_resistance = 8.078

STEP 3: Convert Result to Output's Unit

8.078 Newton Meter -->8078 Newton Millimeter (Check conversion here)

FINAL ANSWER

8078 Newton Millimeter <-- Moment of Resistance

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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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 Resistance Formula

LaTeX Go

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

What is Moment of Resistance?

Moment of Resistance refers to the maximum internal moment that a structural member, such as a beam, can resist before it fails in bending. It is essentially the capacity of the section to withstand bending moments without undergoing excessive deformation or failure. The moment of resistance is crucial in structural design to ensure that beams and other elements can safely carry applied loads.

How to Calculate Moment of Resistance?

Moment of Resistance calculator uses Moment of Resistance = (Young's Modulus of Beam*MOI of Area of Circular Section)/Radius of Neutral Layer to calculate the Moment of Resistance, The Moment of resistance formula is defined as a measure of the opposition to bending stress in a beam, which is a critical parameter in structural analysis, helping engineers to design and optimize beam structures to withstand external loads and stresses. Moment of Resistance is denoted by M_resistance symbol.

How to calculate Moment of Resistance using this online calculator? To use this online calculator for Moment of Resistance, enter Young's Modulus of Beam (E), MOI of Area of Circular Section (I_circular) & Radius of Neutral Layer (R) and hit the calculate button. Here is how the Moment of Resistance calculation can be explained with given input values -> 8.1E+6 = (14000000*1.154E-09)/0.002.

FAQ

What is Moment of Resistance?

The Moment of resistance formula is defined as a measure of the opposition to bending stress in a beam, which is a critical parameter in structural analysis, helping engineers to design and optimize beam structures to withstand external loads and stresses and is represented as M_resistance = (E*I_circular)/R or Moment of Resistance = (Young's Modulus of Beam*MOI of Area of Circular Section)/Radius of Neutral Layer. 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, 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 & 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.

How to calculate Moment of Resistance?

The Moment of resistance formula is defined as a measure of the opposition to bending stress in a beam, which is a critical parameter in structural analysis, helping engineers to design and optimize beam structures to withstand external loads and stresses is calculated using Moment of Resistance = (Young's Modulus of Beam*MOI of Area of Circular Section)/Radius of Neutral Layer. To calculate Moment of Resistance, you need Young's Modulus of Beam (E), MOI of Area of Circular Section (I_circular) & Radius of Neutral Layer (R). With our tool, you need to enter the respective value for Young's Modulus of Beam, MOI of Area of Circular Section & Radius of Neutral 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 Moment of Resistance?

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

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

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