Bending Moment when Stress is Applied at Point in Curved Beam Calculator

✖Stress at the cross section of curved beam.ⓘ Stress [S]			+10% -10%
✖The Cross Sectional Area is the breadth times the depth of the structure.ⓘ Cross Sectional Area [A]			+10% -10%
✖Radius of Centroidal Axis is defined as the radius of the axis that passes through the centroid of the cross section.ⓘ Radius of Centroidal Axis [R]			+10% -10%
✖Distance from Neutral Axis is the measured between N.A and to the extreme point.ⓘ Distance from Neutral Axis [y]			+10% -10%
✖Cross-Section Property can be found using analytical expressions or geometric integration and determines the stresses that exist in the member under a given load.ⓘ Cross-Section Property [Z]			+10% -10%

✖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 when Stress is Applied at Point in Curved Beam [M]

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Bending Moment when Stress is Applied at Point in Curved Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = ((Stress*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance from Neutral Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis)))))
M = ((S*A*R)/(1+(y/(Z*(R+y)))))
This formula uses 6 Variables

Variables Used

Bending Moment - (Measured in Newton Meter) - 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.
Stress - (Measured in Pascal) - Stress at the cross section of curved beam.
Cross Sectional Area - (Measured in Square Meter) - The Cross Sectional Area is the breadth times the depth of the structure.
Radius of Centroidal Axis - (Measured in Meter) - Radius of Centroidal Axis is defined as the radius of the axis that passes through the centroid of the cross section.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is the measured between N.A and to the extreme point.
Cross-Section Property - Cross-Section Property can be found using analytical expressions or geometric integration and determines the stresses that exist in the member under a given load.

STEP 1: Convert Input(s) to Base Unit

Stress: 33.25 Megapascal --> 33250000 Pascal (Check conversion here)
Cross Sectional Area: 0.04 Square Meter --> 0.04 Square Meter No Conversion Required
Radius of Centroidal Axis: 50 Millimeter --> 0.05 Meter (Check conversion here)
Distance from Neutral Axis: 25 Millimeter --> 0.025 Meter (Check conversion here)
Cross-Section Property: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = ((S*A*R)/(1+(y/(Z*(R+y))))) --> ((33250000*0.04*0.05)/(1+(0.025/(2*(0.05+0.025)))))

Evaluating ... ...

M = 57000

STEP 3: Convert Result to Output's Unit

57000 Newton Meter -->57 Kilonewton Meter (Check conversion here)

FINAL ANSWER

57 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.004 seconds)

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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< Curved Beams Calculators

Stress at Point for Curved Beam as defined in Winkler-Bach Theory

LaTeX Go Stress = ((Bending Moment)/(Cross Sectional Area*Radius of Centroidal Axis))*(1+((Distance from Neutral Axis)/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis))))

Cross-Sectional Area when Stress is Applied at Point in Curved Beam

LaTeX Go Cross Sectional Area = (Bending Moment/(Stress*Radius of Centroidal Axis))*(1+(Distance from Neutral Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis))))

Bending Moment when Stress is Applied at Point in Curved Beam

LaTeX Go Bending Moment = ((Stress*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance from Neutral Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis)))))

Bending Moment when Stress is Applied at Point in Curved Beam Formula

LaTeX Go

What is Bending Moment When Stress is Applied at Point y in a Curved Beam?

Bending Moment When Stress is Applied at Point y in a Curved Beam is the reaction induced in the curved beam when an external force or moment is applied to the beam, causing the beam to bend. Since the stress at a point y from the centroidal axis is known, the moment can be found using the above formula.

How to Calculate Bending Moment when Stress is Applied at Point in Curved Beam?

Bending Moment when Stress is Applied at Point in Curved Beam calculator uses Bending Moment = ((Stress*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance from Neutral Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis))))) to calculate the Bending Moment, The Bending Moment when Stress is Applied at Point in Curved Beam formula is defined as ((Stress of Curved Beam*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance of Point from Centroidal Axis/(Cross Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis))))). Bending Moment is denoted by M symbol.

How to calculate Bending Moment when Stress is Applied at Point in Curved Beam using this online calculator? To use this online calculator for Bending Moment when Stress is Applied at Point in Curved Beam, enter Stress (S), Cross Sectional Area (A), Radius of Centroidal Axis (R), Distance from Neutral Axis (y) & Cross-Section Property (Z) and hit the calculate button. Here is how the Bending Moment when Stress is Applied at Point in Curved Beam calculation can be explained with given input values -> 0.057 = ((33250000*0.04*0.05)/(1+(0.025/(2*(0.05+0.025))))).

FAQ

What is Bending Moment when Stress is Applied at Point in Curved Beam?

The Bending Moment when Stress is Applied at Point in Curved Beam formula is defined as ((Stress of Curved Beam*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance of Point from Centroidal Axis/(Cross Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis))))) and is represented as M = ((S*A*R)/(1+(y/(Z*(R+y))))) or Bending Moment = ((Stress*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance from Neutral Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis))))). Stress at the cross section of curved beam, The Cross Sectional Area is the breadth times the depth of the structure, Radius of Centroidal Axis is defined as the radius of the axis that passes through the centroid of the cross section, Distance from Neutral Axis is the measured between N.A and to the extreme point & Cross-Section Property can be found using analytical expressions or geometric integration and determines the stresses that exist in the member under a given load.

How to calculate Bending Moment when Stress is Applied at Point in Curved Beam?

The Bending Moment when Stress is Applied at Point in Curved Beam formula is defined as ((Stress of Curved Beam*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance of Point from Centroidal Axis/(Cross Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis))))) is calculated using Bending Moment = ((Stress*Cross Sectional Area*Radius of Centroidal Axis)/(1+(Distance from Neutral Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance from Neutral Axis))))). To calculate Bending Moment when Stress is Applied at Point in Curved Beam, you need Stress (S), Cross Sectional Area (A), Radius of Centroidal Axis (R), Distance from Neutral Axis (y) & Cross-Section Property (Z). With our tool, you need to enter the respective value for Stress, Cross Sectional Area, Radius of Centroidal Axis, Distance from Neutral Axis & Cross-Section Property 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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