Maximum Stress given Maximum Moment of Resistance and Section Modulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Stress in Layer = Maximum Moment of Resistance/Section Modulus
σmax = Mmax/Z
This formula uses 3 Variables
Variables Used
Maximum Stress in Layer - (Measured in Pascal) - The maximum stress in layer is the force per unit area applied to the material.
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.
STEP 1: Convert Input(s) to Base Unit
Maximum Moment of Resistance: 220000000 Millimeter⁴ --> 0.00022 Meter⁴ (Check conversion here)
Section Modulus: 25000 Cubic Millimeter --> 2.5E-05 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σmax = Mmax/Z --> 0.00022/2.5E-05
Evaluating ... ...
σmax = 8.8
STEP 3: Convert Result to Output's Unit
8.8 Pascal -->8.8E-06 Megapascal (Check conversion here)
FINAL ANSWER
8.8E-06 8.8E-6 Megapascal <-- Maximum Stress in Layer
(Calculation completed in 00.004 seconds)

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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 Stress given Maximum Moment of Resistance and Section Modulus Formula

Maximum Stress in Layer = Maximum Moment of Resistance/Section Modulus
σmax = Mmax/Z

Define section modulus and it's 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 Stress given Maximum Moment of Resistance and Section Modulus?

Maximum Stress given Maximum Moment of Resistance and Section Modulus calculator uses Maximum Stress in Layer = Maximum Moment of Resistance/Section Modulus to calculate the Maximum Stress in Layer, The Maximum stress given maximum moment of resistance and section modulus formula is defined as the stress applied to a material is the force per unit area applied to the material. Maximum Stress in Layer is denoted by σmax symbol.

How to calculate Maximum Stress given Maximum Moment of Resistance and Section Modulus using this online calculator? To use this online calculator for Maximum Stress given Maximum Moment of Resistance and Section Modulus, enter Maximum Moment of Resistance (Mmax) & Section Modulus (Z) and hit the calculate button. Here is how the Maximum Stress given Maximum Moment of Resistance and Section Modulus calculation can be explained with given input values -> 8.8E-12 = 0.00022/2.5E-05.

FAQ

What is Maximum Stress given Maximum Moment of Resistance and Section Modulus?
The Maximum stress given maximum moment of resistance and section modulus formula is defined as the stress applied to a material is the force per unit area applied to the material and is represented as σmax = Mmax/Z or Maximum Stress in Layer = Maximum Moment of Resistance/Section Modulus. 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 is a geometric property for a given cross-section used in the design of beams or flexural members.
How to calculate Maximum Stress given Maximum Moment of Resistance and Section Modulus?
The Maximum stress given maximum moment of resistance and section modulus formula is defined as the stress applied to a material is the force per unit area applied to the material is calculated using Maximum Stress in Layer = Maximum Moment of Resistance/Section Modulus. To calculate Maximum Stress given Maximum Moment of Resistance and Section Modulus, you need Maximum Moment of Resistance (Mmax) & Section Modulus (Z). With our tool, you need to enter the respective value for Maximum Moment of Resistance & Section Modulus 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 Stress in Layer?
In this formula, Maximum Stress in Layer uses Maximum Moment of Resistance & Section Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Maximum Stress in Layer = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/MOI of Area of Circular Section
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