Maximum Moment of Resistance given Section Modulus Calculator

✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus [Z]			+10% -10%
✖The maximum stress in layer is the force per unit area applied to the material.ⓘ Maximum Stress in Layer [σ_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 given Section Modulus [M_max]

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Formula

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Maximum Moment of Resistance given Section Modulus

Formula

`"M"_{"max"} = "Z"*"σ"_{"max"}`

Example

`"4E^14mm⁴"="25000mm³"*"16MPa"`

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Maximum Moment of Resistance given Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Moment of Resistance = Section Modulus*Maximum Stress in Layer
M_max = Z*σ_max
This formula uses 3 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.
Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Maximum Stress in Layer - (Measured in Pascal) - The maximum stress in layer is the force per unit area applied to the material.

STEP 1: Convert Input(s) to Base Unit

Section Modulus: 25000 Cubic Millimeter --> 2.5E-05 Cubic Meter (Check conversion here)
Maximum Stress in Layer: 16 Megapascal --> 16000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_max = Z*σ_max --> 2.5E-05*16000000

Evaluating ... ...

M_max = 400

STEP 3: Convert Result to Output's Unit

400 Meter⁴ -->400000000000000 Millimeter⁴ (Check conversion here)

FINAL ANSWER

400000000000000 ≈ 4E+14 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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Indian Institute of Information Technology (IIIT), Guwahati

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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 given Section Modulus Formula

Maximum Moment of Resistance = Section Modulus*Maximum Stress in Layer
M_max = Z*σ_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 given Section Modulus?

Maximum Moment of Resistance given Section Modulus calculator uses Maximum Moment of Resistance = Section Modulus*Maximum Stress in Layer to calculate the Maximum Moment of Resistance, The Maximum Moment of Resistance given Section Modulus formula 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 given Section Modulus using this online calculator? To use this online calculator for Maximum Moment of Resistance given Section Modulus, enter Section Modulus (Z) & Maximum Stress in Layer (σ_max) and hit the calculate button. Here is how the Maximum Moment of Resistance given Section Modulus calculation can be explained with given input values -> 4E+26 = 2.5E-05*16000000.

FAQ

What is Maximum Moment of Resistance given Section Modulus?

The Maximum Moment of Resistance given Section Modulus formula 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 = Z*σ_max or Maximum Moment of Resistance = Section Modulus*Maximum Stress in Layer. Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members & The maximum stress in layer is the force per unit area applied to the material.

How to calculate Maximum Moment of Resistance given Section Modulus?

The Maximum Moment of Resistance given Section Modulus formula 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 = Section Modulus*Maximum Stress in Layer. To calculate Maximum Moment of Resistance given Section Modulus, you need Section Modulus (Z) & Maximum Stress in Layer (σ_max). With our tool, you need to enter the respective value for Section Modulus & Maximum 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 Maximum Moment of Resistance?

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

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

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