Maximum Moment of Resistance Calculator

✖The maximum stress in layer is the force per unit area applied to the material.ⓘ Maximum Stress in Layer [σ_max]			+10% -10%
✖MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.ⓘ MOI of Area of Circular Section [I_circular]			+10% -10%
✖Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.ⓘ Distance b/w Outermost and Neutral Layer [Y_max]			+10% -10%

✖The Maximum Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.ⓘ Maximum Moment of Resistance [M_max]

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Formula

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Maximum Moment of Resistance

Formula

`"M"_{"max"} = ("σ"_{"max"}*"I"_{"circular"})/"Y"_{"max"}`

Example

`"2.5E^9mm⁴"=("16MPa"*"1154mm⁴")/"7500mm"`

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Download Bending Stress In Beam Formula PDF

Maximum Moment of Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer
M_max = (σ_max*I_circular)/Y_max
This formula uses 4 Variables

Variables Used

Maximum Moment of Resistance - (Measured in Meter⁴) - The Maximum Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.
Maximum Stress in Layer - (Measured in Pascal) - The maximum stress in layer is the force per unit area applied to the material.
MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.
Distance b/w Outermost and Neutral Layer - (Measured in Meter) - Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.

STEP 1: Convert Input(s) to Base Unit

Maximum Stress in Layer: 16 Megapascal --> 16000000 Pascal (Check conversion here)
MOI of Area of Circular Section: 1154 Millimeter⁴ --> 1.154E-09 Meter⁴ (Check conversion here)
Distance b/w Outermost and Neutral Layer: 7500 Millimeter --> 7.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_max = (σ_max*I_circular)/Y_max --> (16000000*1.154E-09)/7.5

Evaluating ... ...

M_max = 0.00246186666666667

STEP 3: Convert Result to Output's Unit

0.00246186666666667 Meter⁴ -->2461866666.66667 Millimeter⁴ (Check conversion here)

FINAL ANSWER

2461866666.66667 ≈ 2.5E+9 Millimeter⁴ <-- Maximum 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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< 11 Section Modulus Calculators

Distance of Outermost Layer from Neutral Axis given Maximum Moment of Resistance

Go Distance b/w Outermost and Neutral Layer = (Maximum Stress in Layer*MOI of Area of Circular Section)/Maximum Moment of Resistance

Moment of Inertia of Neutral axis given Maximum Moment of Resistance

Go MOI of Area of Circular Section = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/Maximum Stress in Layer

Maximum Stress given Maximum Moment of Resistance

Go Maximum Stress in Layer = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/MOI of Area of Circular Section

Maximum Moment of Resistance

Go Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer

Distance of Outermost Layer from Neutral Axis using Section Modulus

Go Distance b/w Outermost and Neutral Layer = MOI of Area of Circular Section/Section Modulus

Section Modulus given Distance between Outermost and Neutral Layer

Go Section Modulus = MOI of Area of Circular Section/Distance b/w Outermost and Neutral Layer

Moment of Inertia about Neutral Axis given Section Modulus

Go MOI of Area of Circular Section = Section Modulus*Distance b/w Outermost and Neutral Layer

Maximum Stress given Maximum Moment of Resistance and Section Modulus

Go Maximum Stress in Layer = Maximum Moment of Resistance/Section Modulus

Section Modulus given Maximum Moment of Resistance

Go Section Modulus = Maximum Moment of Resistance/Maximum Stress in Layer

Maximum Moment of Resistance given Section Modulus

Go Maximum Moment of Resistance = Section Modulus*Maximum Stress in Layer

Section Modulus of Square Section

Go Section Modulus = ((Side of Square^3)/6)

Maximum Moment of Resistance Formula

Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer
M_max = (σ_max*I_circular)/Y_max

What is section modulus what is its significance?

The section modulus of the cross-sectional shape is of significant importance in designing beams. It is a direct measure of the strength of the beam. A beam that has a larger section modulus than another will be stronger and capable of supporting greater loads.

How to Calculate Maximum Moment of Resistance?

Maximum Moment of Resistance calculator uses Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer to calculate the Maximum Moment of Resistance, Maximum Moment of Resistance is defined as the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress. Maximum Moment of Resistance is denoted by M_max symbol.

How to calculate Maximum Moment of Resistance using this online calculator? To use this online calculator for Maximum Moment of Resistance, enter Maximum Stress in Layer (σ_max), MOI of Area of Circular Section (I_circular) & Distance b/w Outermost and Neutral Layer (Y_max) and hit the calculate button. Here is how the Maximum Moment of Resistance calculation can be explained with given input values -> 2.5E+21 = (16000000*1.154E-09)/7.5.

FAQ

What is Maximum Moment of Resistance?

Maximum Moment of Resistance is defined as the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress and is represented as M_max = (σ_max*I_circular)/Y_max or Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer. The maximum stress in layer is the force per unit area applied to the material, MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis & Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.

How to calculate Maximum Moment of Resistance?

Maximum Moment of Resistance is defined as the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress is calculated using Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer. To calculate Maximum Moment of Resistance, you need Maximum Stress in Layer (σ_max), MOI of Area of Circular Section (I_circular) & Distance b/w Outermost and Neutral Layer (Y_max). With our tool, you need to enter the respective value for Maximum Stress in Layer, MOI of Area of Circular Section & Distance b/w Outermost and 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 Maximum Moment of Resistance?

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

Maximum Moment of Resistance = Section Modulus*Maximum Stress in Layer

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