Maximum Bending Stress given Rectangular Section Modulus Calculator

✖The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment [M_b]			+10% -10%
✖Rectangular section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Rectangular Section Modulus [Z]			+10% -10%

✖Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Maximum Bending Stress given Rectangular Section Modulus [σ_max]

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Maximum Bending Stress given Rectangular Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bending Stress = Bending Moment/Rectangular Section Modulus
σ_max = M_b/Z
This formula uses 3 Variables

Variables Used

Maximum Bending Stress - (Measured in Pascal) - Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Bending Moment - (Measured in Newton Meter) - The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Rectangular Section Modulus - (Measured in Cubic Meter) - Rectangular 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

Bending Moment: 53 Newton Meter --> 53 Newton Meter No Conversion Required
Rectangular Section Modulus: 16 Cubic Millimeter --> 1.6E-08 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_max = M_b/Z --> 53/1.6E-08

Evaluating ... ...

σ_max = 3312500000

STEP 3: Convert Result to Output's Unit

3312500000 Pascal -->3312.5 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

3312.5 Newton per Square Millimeter <-- Maximum Bending Stress

(Calculation completed in 00.004 seconds)

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Maximum Bending Stress given Rectangular Section Modulus Formula

LaTeX Go

Maximum Bending Stress = Bending Moment/Rectangular Section Modulus
σ_max = M_b/Z

What is stress?

Stress is defined as the force across a small boundary per unit area of that boundary, for all boundary orientations. Being derived from a fundamental physical quantity and a purely geometrical quantity.

How to Calculate Maximum Bending Stress given Rectangular Section Modulus?

Maximum Bending Stress given Rectangular Section Modulus calculator uses Maximum Bending Stress = Bending Moment/Rectangular Section Modulus to calculate the Maximum Bending Stress, The Maximum Bending Stress given Rectangular Section Modulus is defined as the maximum stress occurs at the surface of the beam farthest from the neutral axis. Maximum Bending Stress is denoted by σ_max symbol.

How to calculate Maximum Bending Stress given Rectangular Section Modulus using this online calculator? To use this online calculator for Maximum Bending Stress given Rectangular Section Modulus, enter Bending Moment (M_b) & Rectangular Section Modulus (Z) and hit the calculate button. Here is how the Maximum Bending Stress given Rectangular Section Modulus calculation can be explained with given input values -> 0.003312 = 53/1.6E-08.

FAQ

What is Maximum Bending Stress given Rectangular Section Modulus?

The Maximum Bending Stress given Rectangular Section Modulus is defined as the maximum stress occurs at the surface of the beam farthest from the neutral axis and is represented as σ_max = M_b/Z or Maximum Bending Stress = Bending Moment/Rectangular Section Modulus. The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend & Rectangular section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

How to calculate Maximum Bending Stress given Rectangular Section Modulus?

The Maximum Bending Stress given Rectangular Section Modulus is defined as the maximum stress occurs at the surface of the beam farthest from the neutral axis is calculated using Maximum Bending Stress = Bending Moment/Rectangular Section Modulus. To calculate Maximum Bending Stress given Rectangular Section Modulus, you need Bending Moment (M_b) & Rectangular Section Modulus (Z). With our tool, you need to enter the respective value for Bending Moment & Rectangular 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 Bending Stress?

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

Maximum Bending Stress = (Bending Moment*Distance from Neutral Axis to Extreme Point)/(Polar Moment of Inertia)

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