Bending moment in specimen given bending stress Calculator

✖Bending stress or allowable bending stress is the amount of bending stress that can be generated in a material before its failure or fracture.ⓘ Bending Stress [σ_b]			+10% -10%
✖Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading.ⓘ Area Moment of Inertia [I]			+10% -10%
✖Distance from Neutral Axis of Curved Beam is defined as the distance from an axis in the cross-section of a curved beam along which there are no longitudinal stresses or strains.ⓘ Distance from Neutral Axis of Curved Beam [y]			+10% -10%

✖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 in specimen given bending stress [M_b]

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Bending moment in specimen given bending stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = (Bending Stress*Area Moment of Inertia)/Distance from Neutral Axis of Curved Beam
M_b = (σ_b*I)/y
This formula uses 4 Variables

Variables Used

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.
Bending Stress - (Measured in Pascal) - Bending stress or allowable bending stress is the amount of bending stress that can be generated in a material before its failure or fracture.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading.
Distance from Neutral Axis of Curved Beam - (Measured in Meter) - Distance from Neutral Axis of Curved Beam is defined as the distance from an axis in the cross-section of a curved beam along which there are no longitudinal stresses or strains.

STEP 1: Convert Input(s) to Base Unit

Bending Stress: 56 Newton per Square Millimeter --> 56000000 Pascal (Check conversion here)
Area Moment of Inertia: 44000 Millimeter⁴ --> 4.4E-08 Meter⁴ (Check conversion here)
Distance from Neutral Axis of Curved Beam: 21 Millimeter --> 0.021 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = (σ_b*I)/y --> (56000000*4.4E-08)/0.021

Evaluating ... ...

M_b = 117.333333333333

STEP 3: Convert Result to Output's Unit

117.333333333333 Newton Meter -->117333.333333333 Newton Millimeter (Check conversion here)

FINAL ANSWER

117333.333333333 ≈ 117333.3 Newton Millimeter <-- Bending Moment

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Stresses due to Bending Moment Calculators

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LaTeX Go Area Moment of Inertia = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Bending Stress

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LaTeX Go Bending Stress = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Area Moment of Inertia

Bending moment in specimen given bending stress

LaTeX Go Bending Moment = (Bending Stress*Area Moment of Inertia)/Distance from Neutral Axis of Curved Beam

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to breadth

LaTeX Go Area Moment of Inertia = (Breadth of rectangular section*(Length of rectangular section^3))/12

Bending moment in specimen given bending stress Formula

LaTeX Go

Bending Moment = (Bending Stress*Area Moment of Inertia)/Distance from Neutral Axis of Curved Beam
M_b = (σ_b*I)/y

What is bending moment?

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.

How to Calculate Bending moment in specimen given bending stress?

Bending moment in specimen given bending stress calculator uses Bending Moment = (Bending Stress*Area Moment of Inertia)/Distance from Neutral Axis of Curved Beam to calculate the Bending Moment, Bending moment in specimen given bending stress is a measure of the bending effect that can occur when an external force (or moment) is applied to a structural element. Bending Moment is denoted by M_b symbol.

How to calculate Bending moment in specimen given bending stress using this online calculator? To use this online calculator for Bending moment in specimen given bending stress, enter Bending Stress (σ_b), Area Moment of Inertia (I) & Distance from Neutral Axis of Curved Beam (y) and hit the calculate button. Here is how the Bending moment in specimen given bending stress calculation can be explained with given input values -> 1.2E+8 = (56000000*4.4E-08)/0.021.

FAQ

What is Bending moment in specimen given bending stress?

Bending moment in specimen given bending stress is a measure of the bending effect that can occur when an external force (or moment) is applied to a structural element and is represented as M_b = (σ_b*I)/y or Bending Moment = (Bending Stress*Area Moment of Inertia)/Distance from Neutral Axis of Curved Beam. Bending stress or allowable bending stress is the amount of bending stress that can be generated in a material before its failure or fracture, Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading & Distance from Neutral Axis of Curved Beam is defined as the distance from an axis in the cross-section of a curved beam along which there are no longitudinal stresses or strains.

How to calculate Bending moment in specimen given bending stress?

Bending moment in specimen given bending stress is a measure of the bending effect that can occur when an external force (or moment) is applied to a structural element is calculated using Bending Moment = (Bending Stress*Area Moment of Inertia)/Distance from Neutral Axis of Curved Beam. To calculate Bending moment in specimen given bending stress, you need Bending Stress (σ_b), Area Moment of Inertia (I) & Distance from Neutral Axis of Curved Beam (y). With our tool, you need to enter the respective value for Bending Stress, Area Moment of Inertia & Distance from Neutral Axis of Curved Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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