Moment of Resistance in Bending Equation Calculator

✖Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.ⓘ Area Moment of Inertia [I]			+10% -10%
✖Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Bending Stress [σ_b]			+10% -10%
✖Distance from Neutral Axis is measured between N.A. and the extreme point.ⓘ Distance from Neutral Axis [y]			+10% -10%

✖Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.ⓘ Moment of Resistance in Bending Equation [M_r]

⎘ Copy

👎

Formula

✖

Moment of Resistance in Bending Equation

Formula

`"M"_{"r"} = ("I"*"σ"_{"b"})/"y"`

Example

`"4.608kN*m"=("0.0016m⁴"*"0.072MPa")/"25mm"`

Calculator

LaTeX

Reset

👍

Download Combined Axial and Bending Loads Formulas PDF

Moment of Resistance in Bending Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Moment of Resistance - (Measured in Newton Meter) - Moment of Resistance is the couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.
Bending Stress - (Measured in Pascal) - Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is measured between N.A. and the extreme point.

STEP 1: Convert Input(s) to Base Unit

Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required
Bending Stress: 0.072 Megapascal --> 72000 Pascal (Check conversion here)
Distance from Neutral Axis: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_r = (I*σ_b)/y --> (0.0016*72000)/0.025

Evaluating ... ...

M_r = 4608

STEP 3: Convert Result to Output's Unit

4608 Newton Meter -->4.608 Kilonewton Meter (Check conversion here)

FINAL ANSWER

4.608 Kilonewton Meter <-- Moment of Resistance

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Combined Axial and Bending Loads » Moment of Resistance in Bending Equation

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 600+ more calculators!

< 19 Combined Axial and Bending Loads Calculators

Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams

Go Distance from Neutral Axis = ((Maximum Stress*Cross Sectional Area*Area Moment of Inertia)-(Axial Load*Area Moment of Inertia))/(Maximum Bending Moment*Cross Sectional Area)

Maximum Stress in Short Beams for Large Deflection

Go Maximum Stress = (Axial Load/Cross Sectional Area)+(((Maximum Bending Moment+Axial Load*Deflection of Beam)*Distance from Neutral Axis)/Area Moment of Inertia)

Neutral Axis Moment of Inertia given Maximum Stress for Short Beams

Go Area Moment of Inertia = (Maximum Bending Moment*Cross Sectional Area*Distance from Neutral Axis)/((Maximum Stress*Cross Sectional Area)-(Axial Load))

Axial Load given Maximum Stress for Short Beams

Go Axial Load = Cross Sectional Area*(Maximum Stress -((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))

Maximum Bending Moment given Maximum Stress for Short Beams

Go Maximum Bending Moment = ((Maximum Stress-(Axial Load/Cross Sectional Area))*Area Moment of Inertia)/Distance from Neutral Axis

Cross-Sectional Area given Maximum Stress for Short Beams

Go Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))

Maximum Stress for Short Beams

Go Maximum Stress = (Axial Load/Cross Sectional Area)+((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)

Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced

Go Young's Modulus = ((Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Distance from Neutral Axis)

Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature

Go Fibre Stress at Distance ‘y’ from NA = (Young's Modulus*Distance from Neutral Axis)/Radius of Curvature

Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced

Go Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus

Deflection for Transverse Loading given Deflection for Axial Bending

Go Deflection for Transverse Loading Alone = Deflection of Beam*(1-(Axial Load/Critical Buckling Load))

Deflection for Axial Compression and Bending

Go Deflection of Beam = Deflection for Transverse Loading Alone/(1-(Axial Load/Critical Buckling Load))

Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress

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

Moment of Inertia given Moment of Resistance, Stress induced and Distance from Extreme Fiber

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

Stress Induced using Moment of Resistance, Moment of Inertia and Distance from Extreme Fiber

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

Moment of Resistance in Bending Equation

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

Young's Modulus using Moment of Resistance, Moment of Inertia and Radius

Go Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia

Moment of Resistance given Young's Modulus, Moment of Inertia and Radius

Go Moment of Resistance = (Area Moment of Inertia*Young's Modulus)/Radius of Curvature

Moment of Inertia given Young's Modulus, Moment of Resistance and Radius

Go Area Moment of Inertia = (Moment of Resistance*Radius of Curvature)/Young's Modulus

Moment of Resistance in Bending Equation Formula

Moment of Resistance = (Area Moment of Inertia*Bending Stress)/Distance from Neutral Axis
M_r = (I*σ_b)/y

What is Simple Bending?

The Bending will be called as simple bending when it occurs because of beam self-load and external load. This type of bending is also known as ordinary bending and in this type of bending results both shear stress and normal stress in the beam.

How to Calculate Moment of Resistance in Bending Equation?

Moment of Resistance in Bending Equation calculator uses Moment of Resistance = (Area Moment of Inertia*Bending Stress)/Distance from Neutral Axis to calculate the Moment of Resistance, The Moment of Resistance in Bending Equation formula is defined as a moment that offers resistance to simple bending. Moment of Resistance is denoted by M_r symbol.

How to calculate Moment of Resistance in Bending Equation using this online calculator? To use this online calculator for Moment of Resistance in Bending Equation, enter Area Moment of Inertia (I), Bending Stress (σ_b) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Moment of Resistance in Bending Equation calculation can be explained with given input values -> 0.004608 = (0.0016*72000)/0.025.

FAQ

What is Moment of Resistance in Bending Equation?

The Moment of Resistance in Bending Equation formula is defined as a moment that offers resistance to simple bending and is represented as M_r = (I*σ_b)/y or Moment of Resistance = (Area Moment of Inertia*Bending Stress)/Distance from Neutral Axis. Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane, Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend & Distance from Neutral Axis is measured between N.A. and the extreme point.

How to calculate Moment of Resistance in Bending Equation?

The Moment of Resistance in Bending Equation formula is defined as a moment that offers resistance to simple bending is calculated using Moment of Resistance = (Area Moment of Inertia*Bending Stress)/Distance from Neutral Axis. To calculate Moment of Resistance in Bending Equation, you need Area Moment of Inertia (I), Bending Stress (σ_b) & Distance from Neutral Axis (y). With our tool, you need to enter the respective value for Area Moment of Inertia, Bending Stress & Distance from Neutral Axis 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 Moment of Resistance?

In this formula, Moment of Resistance uses Area Moment of Inertia, Bending Stress & Distance from Neutral Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Moment of Resistance = (Area Moment of Inertia*Young's Modulus)/Radius of Curvature

Home

FREE PDFs

🔍 Search