Maximum Stress given Maximum Moment of Resistance Calculator

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

✖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 given Maximum Moment of Resistance [σ_max]

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Maximum Stress given Maximum Moment of Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Maximum Moment of Resistance - (Measured in Meter⁴) - Maximum moment of resistance is the highest internal moment that a structural section can withstand before failure.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Moment of Resistance: 220000000 Millimeter⁴ --> 0.00022 Meter⁴ (Check conversion here)
Distance b/w Outermost and Neutral Layer: 7500 Millimeter --> 7.5 Meter (Check conversion here)
MOI of Area of Circular Section: 1154 Millimeter⁴ --> 1.154E-09 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_max = (M_r*Y_max)/I_circular --> (0.00022*7.5)/1.154E-09

Evaluating ... ...

σ_max = 1429809.35875217

STEP 3: Convert Result to Output's Unit

1429809.35875217 Pascal -->1.42980935875217 Megapascal (Check conversion here)

FINAL ANSWER

1.42980935875217 ≈ 1.429809 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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< 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 Stress given Maximum Moment of Resistance Formula

LaTeX Go

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

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 Stress given Maximum Moment of Resistance?

Maximum Stress given Maximum Moment of Resistance calculator uses Maximum Stress in Layer = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/MOI of Area of Circular Section to calculate the Maximum Stress in Layer, Maximum Stress given Maximum Moment of Resistance formula is defined as a measure of the maximum stress experienced by a circular beam when it is subjected to bending, taking into account the maximum moment of resistance, maximum distance from the neutral axis, and the moment of inertia of the circular cross-section. Maximum Stress in Layer is denoted by σ_max symbol.

How to calculate Maximum Stress given Maximum Moment of Resistance using this online calculator? To use this online calculator for Maximum Stress given Maximum Moment of Resistance, enter Maximum Moment of Resistance (M_r), Distance b/w Outermost and Neutral Layer (Y_max) & MOI of Area of Circular Section (I_circular) and hit the calculate button. Here is how the Maximum Stress given Maximum Moment of Resistance calculation can be explained with given input values -> 1.4E-6 = (0.00022*7.5)/1.154E-09.

FAQ

What is Maximum Stress given Maximum Moment of Resistance?

Maximum Stress given Maximum Moment of Resistance formula is defined as a measure of the maximum stress experienced by a circular beam when it is subjected to bending, taking into account the maximum moment of resistance, maximum distance from the neutral axis, and the moment of inertia of the circular cross-section and is represented as σ_max = (M_r*Y_max)/I_circular or 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 is the highest internal moment that a structural section can withstand before failure, 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 & 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.

How to calculate Maximum Stress given Maximum Moment of Resistance?

Maximum Stress given Maximum Moment of Resistance formula is defined as a measure of the maximum stress experienced by a circular beam when it is subjected to bending, taking into account the maximum moment of resistance, maximum distance from the neutral axis, and the moment of inertia of the circular cross-section is calculated using Maximum Stress in Layer = (Maximum Moment of Resistance*Distance b/w Outermost and Neutral Layer)/MOI of Area of Circular Section. To calculate Maximum Stress given Maximum Moment of Resistance, you need Maximum Moment of Resistance (M_r), Distance b/w Outermost and Neutral Layer (Y_max) & MOI of Area of Circular Section (I_circular). With our tool, you need to enter the respective value for Maximum Moment of Resistance, Distance b/w Outermost and Neutral Layer & MOI of Area of Circular Section 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, Distance b/w Outermost and Neutral Layer & MOI of Area of Circular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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