Maximum Moment of Resistance Calculator

✖Maximum stress in layer is the highest stress experienced at the outermost fibers of a material or structural element under load crucial in the analysis of beams.ⓘ Maximum Stress in Layer [σ_max]			+10% -10%
✖MOI of area of circular section also known as the second moment of area, is a measure of an object’s resistance to bending or deflection around a specific 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 used to calculate bending stresses in beams.ⓘ Distance b/w Outermost and Neutral Layer [Y_max]			+10% -10%

✖Maximum moment of resistance is the highest internal moment that a structural section can withstand before failure.ⓘ Maximum Moment of Resistance [M_r]

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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_r = (σ_max*I_circular)/Y_max
This formula uses 4 Variables

Variables Used

Maximum Moment of Resistance - (Measured in Meter⁴) - Maximum moment of resistance is the highest internal moment that a structural section can withstand before failure.
Maximum Stress in Layer - (Measured in Pascal) - Maximum stress in layer is the highest stress experienced at the outermost fibers of a material or structural element under load crucial in the analysis of beams.
MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of area of circular section also known as the second moment of area, is a measure of an object’s resistance to bending or deflection around a specific 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 used to calculate bending stresses in beams.

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

Evaluating ... ...

M_r = 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 00.020 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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< Section Modulus Calculators

Moment of Inertia of Neutral axis given Maximum Moment of Resistance

LaTeX 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 and Section Modulus

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

Section Modulus given Maximum Moment of Resistance

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

Maximum Moment of Resistance given Section Modulus

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

Maximum Moment of Resistance Formula

LaTeX Go

Maximum Moment of Resistance = (Maximum Stress in Layer*MOI of Area of Circular Section)/Distance b/w Outermost and Neutral Layer
M_r = (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 formula is defined as the maximum moment a beam can resist in bending without undergoing plastic deformation, which is a critical parameter in beam design to ensure structural integrity and safety. Maximum Moment of Resistance is denoted by M_r 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 formula is defined as the maximum moment a beam can resist in bending without undergoing plastic deformation, which is a critical parameter in beam design to ensure structural integrity and safety and is represented as M_r = (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. Maximum stress in layer is the highest stress experienced at the outermost fibers of a material or structural element under load crucial in the analysis of beams, MOI of area of circular section also known as the second moment of area, is a measure of an object’s resistance to bending or deflection around a specific axis & Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are used to calculate bending stresses in beams.

How to calculate Maximum Moment of Resistance?

Maximum Moment of Resistance formula is defined as the maximum moment a beam can resist in bending without undergoing plastic deformation, which is a critical parameter in beam design to ensure structural integrity and safety 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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