Section Modulus given Maximum Moment of Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Section Modulus = Maximum Moment of Resistance/Maximum Stress in Layer
Z = Mmax/σmax
This formula uses 3 Variables
Variables Used
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 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.
STEP 1: Convert Input(s) to Base Unit
Maximum Moment of Resistance: 220000000 Millimeter⁴ --> 0.00022 Meter⁴ (Check conversion here)
Maximum Stress in Layer: 16 Megapascal --> 16000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Z = Mmaxmax --> 0.00022/16000000
Evaluating ... ...
Z = 1.375E-11
STEP 3: Convert Result to Output's Unit
1.375E-11 Cubic Meter -->0.01375 Cubic Millimeter (Check conversion here)
FINAL ANSWER
0.01375 Cubic Millimeter <-- Section Modulus
(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)

Section Modulus given Maximum Moment of Resistance Formula

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

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 Section Modulus given Maximum Moment of Resistance?

Section Modulus given Maximum Moment of Resistance calculator uses Section Modulus = Maximum Moment of Resistance/Maximum Stress in Layer to calculate the Section Modulus, Section Modulus given Maximum Moment of Resistance formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members. Section Modulus is denoted by Z symbol.

How to calculate Section Modulus given Maximum Moment of Resistance using this online calculator? To use this online calculator for Section Modulus given Maximum Moment of Resistance, enter Maximum Moment of Resistance (Mmax) & Maximum Stress in Layer max) and hit the calculate button. Here is how the Section Modulus given Maximum Moment of Resistance calculation can be explained with given input values -> 1.4E+7 = 0.00022/16000000.

FAQ

What is Section Modulus given Maximum Moment of Resistance?
Section Modulus given Maximum Moment of Resistance formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members and is represented as Z = Mmaxmax or Section Modulus = Maximum Moment of Resistance/Maximum Stress in Layer. The Maximum Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress & The maximum stress in layer is the force per unit area applied to the material.
How to calculate Section Modulus given Maximum Moment of Resistance?
Section Modulus given Maximum Moment of Resistance formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members is calculated using Section Modulus = Maximum Moment of Resistance/Maximum Stress in Layer. To calculate Section Modulus given Maximum Moment of Resistance, you need Maximum Moment of Resistance (Mmax) & Maximum Stress in Layer max). With our tool, you need to enter the respective value for Maximum Moment of Resistance & 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 Section Modulus?
In this formula, Section Modulus uses Maximum Moment of Resistance & Maximum Stress in Layer. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Section Modulus = MOI of Area of Circular Section/Distance b/w Outermost and Neutral Layer
  • Section Modulus = ((Side of Square^3)/6)
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