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
Mb = (σb*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
Mb = (σb*I)/y --> (56000000*4.4E-08)/0.021
Evaluating ... ...
Mb = 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 00.020 seconds)

Credits

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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6 Stresses due to Bending Moment Calculators

Area Moment of Inertia of specimen given bending moment and bending stress
Go Area Moment of Inertia = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Bending Stress
Bending stress in specimen due to bending moment
Go Bending Stress = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Area Moment of Inertia
Bending moment in specimen given bending stress
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
Go Area Moment of Inertia = (Breadth of rectangular section*(Length of rectangular section^3))/12
Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length
Go Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12
Area Moment of Inertia of Circular Cross-Section about Diameter
Go Area Moment of Inertia = pi*(Diameter of circular section of shaft^4)/64

Bending moment in specimen given bending stress Formula

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