Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has created this Calculator and 200+ more calculators!
Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

11 Other formulas that you can solve using the same Inputs

Strain Energy if moment value is given
Strain Energy=(Bending moment*Bending moment*Length)/(2*Elastic Modulus*Moment of Inertia) GO
Length over which Deformation Takes Place when Strain Energy in Bending is Given
Length=Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/(Bending moment^2) GO
Modulus of Elasticity when Strain Energy in Bending is Given
Modulus Of Elasticity=Length*(Bending moment^2)/(2*Strain Energy*Moment of Inertia) GO
Moment of Inertia when Strain Energy in Bending is Given
Moment of Inertia=Length*(Bending moment^2)/(2*Strain Energy*Modulus Of Elasticity) GO
Strain Energy in Bending
Strain Energy=(Bending moment^2)*Length/(2*Modulus Of Elasticity*Moment of Inertia) GO
Bending Stress
Bending Stress=Bending moment*Distance from the Neutral axis/Moment of Inertia GO
Depth of Beam when Stress in Concrete is Given
Depth of the Beam=sqrt(2*Bending moment/(Ratio k*Ratio j*Beam Width*Stress)) GO
Equivalent Bending Moment
Equivalent Bending Moment=Bending moment+sqrt(Bending moment^(2)+Torque^(2)) GO
Width of Beam when Stress in Concrete is Given
Beam Width=2*Bending moment/(Ratio k*Ratio j*Stress*Depth of the Beam^2) GO
Stress in Concrete
Stress=2*Bending moment/(Ratio k*Ratio j*Beam Width*Depth of the Beam^2) GO
Equivalent Torsional Moment
Equivalent Torsion Moment=sqrt(Bending moment^(2)+Torque^(2)) GO

11 Other formulas that calculate the same Output

Moment of inertia of hollow rectangle about centroidal axis x-x parallel to breadth
Area Moment Of Inertia=((Breadth of rectangle*Length of rectangle^3)-(Inner breadth of hollow rectangle*Inner length of hollow rectangle^3))/12 GO
Minimum Moment of Inertia of a Transverse Stiffener
Area Moment Of Inertia=Spacing of Stirrups*Breadth of the web^3*(2.5*Overall depth of column^2/Breadth of the web^2-2) GO
Moment of inertia of hollow circle about diametrical axis
Area Moment Of Inertia=(pi/64)*(Outer diameter of circular section^4-Inner Diameter of Circular Section^4) GO
Moment of inertia of rectangle about centroidal axis along x-x parallel to breadth
Area Moment Of Inertia=Breadth of rectangle*(Length of rectangle^3/12) GO
Moment of inertia of rectangle about centroidal axis along y-y parallel to length
Area Moment Of Inertia=Length of rectangle*(Breadth of rectangle^3)/12 GO
Moment of inertia of triangle about centroidal axis x-x parallel to base
Area Moment Of Inertia=(Base of triangle*Height of triangle^3)/36 GO
Moment of inertia if radius of gyration is known
Area Moment Of Inertia=Area of cross section*Radius of gyration^2 GO
Smallest Moment of Inertia Allowable at Worst Section for Wrought Iron
Area Moment Of Inertia=Allowable Load*(Length of column^2) GO
Moment of inertia of rectangular cross-section along centroidal axis parallel to length
Area Moment Of Inertia=((Length^3)*Breadth)/12 GO
Moment of inertia of a circular cross-section about the diameter
Area Moment Of Inertia=pi*(Diameter ^4)/64 GO
Moment of inertia of circle about diametrical axis
Area Moment Of Inertia=(pi*Diameter ^4)/64 GO

Moment of Inertia from bending moment and bending stress Formula

Area Moment Of Inertia=(Bending moment*Distance from neutral axis)/Bending Stress
I=(M*y)/𝛔<sub>b</sub>
More formulas
Factor of safety for ductile materials GO
Allowable stress for ductile material GO
Yield strength for ductile materials GO
Factor of safety for brittle materials GO
Allowable stress for brittle materials GO
Ultimate tensile strength for brittle materials GO
Stress due to bending moment GO
Bending moment from bending stress GO
Moment of inertia of rectangular cross-section along centroidal axis parallel to breadth GO
Moment of inertia of rectangular cross-section along centroidal axis parallel to length GO
Moment of inertia of a circular cross-section about the diameter GO
Shear Stress due to torsional moment GO
angle of twist (in radians) GO
Polar moment of inertia of hollow circular cross-section GO
Polar moment of inertia of the circular cross-section GO
angle of twist for solid cylindrical rod in degrees GO
angle of twist for hollow cylindrical rod in degrees GO
Power transmitted GO
Torsional moment from shear stress GO
Polar moment of inertia from shear stress and torsional moment GO
Surface finish factor GO

What is bending stress?

The stress caused due to bending moment is called bending stress. One side of the neutral axis experiences compression and another extension.

How to Calculate Moment of Inertia from bending moment and bending stress?

Moment of Inertia from bending moment and bending stress calculator uses Area Moment Of Inertia=(Bending moment*Distance from neutral axis)/Bending Stress to calculate the Area Moment Of Inertia, The Moment of Inertia from bending moment and bending stress formula is defined as the ratio of the product of bending moment and distance from the neutral axis to bending stress. Area Moment Of Inertia and is denoted by I symbol.

How to calculate Moment of Inertia from bending moment and bending stress using this online calculator? To use this online calculator for Moment of Inertia from bending moment and bending stress, enter Bending moment (M), Distance from neutral axis (y) and Bending Stress (𝛔b) and hit the calculate button. Here is how the Moment of Inertia from bending moment and bending stress calculation can be explained with given input values -> 1 = (50*1)/50.

FAQ

What is Moment of Inertia from bending moment and bending stress?
The Moment of Inertia from bending moment and bending stress formula is defined as the ratio of the product of bending moment and distance from the neutral axis to bending stress and is represented as I=(M*y)/𝛔b or Area Moment Of Inertia=(Bending moment*Distance from neutral axis)/Bending Stress. 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, The Distance from neutral axis value and The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
How to calculate Moment of Inertia from bending moment and bending stress?
The Moment of Inertia from bending moment and bending stress formula is defined as the ratio of the product of bending moment and distance from the neutral axis to bending stress is calculated using Area Moment Of Inertia=(Bending moment*Distance from neutral axis)/Bending Stress. To calculate Moment of Inertia from bending moment and bending stress, you need Bending moment (M), Distance from neutral axis (y) and Bending Stress (𝛔b). With our tool, you need to enter the respective value for Bending moment, Distance from neutral axis and Bending Stress 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 Area Moment Of Inertia?
In this formula, Area Moment Of Inertia uses Bending moment, Distance from neutral axis and Bending Stress. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Area Moment Of Inertia=Allowable Load*(Length of column^2)
  • Area Moment Of Inertia=((Length^3)*Breadth)/12
  • Area Moment Of Inertia=Area of cross section*Radius of gyration^2
  • Area Moment Of Inertia=Breadth of rectangle*(Length of rectangle^3/12)
  • Area Moment Of Inertia=Length of rectangle*(Breadth of rectangle^3)/12
  • Area Moment Of Inertia=((Breadth of rectangle*Length of rectangle^3)-(Inner breadth of hollow rectangle*Inner length of hollow rectangle^3))/12
  • Area Moment Of Inertia=(Base of triangle*Height of triangle^3)/36
  • Area Moment Of Inertia=(pi*Diameter ^4)/64
  • Area Moment Of Inertia=(pi/64)*(Outer diameter of circular section^4-Inner Diameter of Circular Section^4)
  • Area Moment Of Inertia=pi*(Diameter ^4)/64
  • Area Moment Of Inertia=Spacing of Stirrups*Breadth of the web^3*(2.5*Overall depth of column^2/Breadth of the web^2-2)
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