Moment of Inertia Calculator

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✖Height of the Section can be described as the dimension(height) of the sectionⓘ Height of the Section [h]			+10% -10%
✖Breadth of the web (bw) is the effective width of the member for flanged section.ⓘ Breadth of the web [bw]			+10% -10%
✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing [s]			+10% -10%

✖The Area Moment Of Inertia valueⓘ Moment of Inertia [I]

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Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 300+ more calculators!

Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 50+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Stirrup Spacing for Practical Design

Spacing of Stirrups=(Stirrup Area*Capacity reduction factor*Yield strength of reinforcing steel*Effective depth of beam)/((Design Shear )-((2*Capacity reduction factor)*sqrt(28 Day Compressive Strength of Concrete)*Breadth of the web*Effective depth of beam)) GO

Stirrup Area when Stirrup Spacing for Practical Design is Given

Stirrup Area=(Spacing of Stirrups)*(Design Shear -(2*Capacity reduction factor*sqrt(28 Day Compressive Strength of Concrete)*Effective depth of beam*Breadth of the web))/(Capacity reduction factor*Yield strength of reinforcing steel*Effective depth of beam) GO

Excess Shear when Stirrup Leg Area is Given for Group of Bars Bent up Different Distances

excess shear=(Stirrup Area*allowable stress in stirrup steel*Distance from Compression to Centroid Reinforcment*(sin(Angle at which the stirrup is inclined)+cos(Angle at which the stirrup is inclined)))/(Stirrup Spacing) GO

Nominal Reinforcement Shear Strength when Stirrups Area for Inclined Stirrups is Given

Nominal strength of Shear Reinforcement=(Stirrup Area*Yield strength of reinforcing steel*Effective depth of beam)*(sin(Angle at Support)+cos(Angle at which the stirrup is inclined))/(Stirrup Spacing) GO

Stirrups Area when Inclined Stirrups are Used

Stirrup Area=(Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at Support)+cos(Angle at which the stirrup is inclined))*Yield strength of reinforcing steel*Effective depth of beam) GO

Nominal Reinforcement Shear Strength when Area of Steel in Vertical Stirrups is Given

Nominal shear strength by reinforcement=(Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement)/(Stirrup Spacing) GO

Area of Steel Required in Vertical Stirrups

Area of steel required=(Nominal shear strength by reinforcement*Stirrup Spacing)/(yield strength of reinforcement*Centroidal distance of tension reinforcement) GO

Allowable Stress in Stirrup Steel when Area in Legs of a Vertical Stirrup is Given

allowable stress in stirrup steel=(excess shear*Stirrup Spacing)/(Stirrup Area*Distance from Compression to Centroid Reinforcment) GO

Excess Shear when Area in Legs of a Vertical Stirrup is Given

excess shear=(Stirrup Area*allowable stress in stirrup steel*Distance from Compression to Centroid Reinforcment)/(Stirrup Spacing) GO

Area Required in Legs of a Vertical Stirrup

Stirrup Area=(excess shear*Stirrup Spacing)/(allowable stress in stirrup steel*Distance from Compression to Centroid Reinforcment) GO

Distance from Extreme Compression to Centroid when Area in Legs of a Vertical Stirrup is Given

Distance from Extreme Compression to Centroid =(excess shear*Stirrup Spacing)/(allowable stress in stirrup steel*Stirrup Area) 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

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 from bending moment and bending stress

Area Moment Of Inertia=(Bending moment*Distance from neutral axis)/Bending Stress 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 Formula

Area Moment Of Inertia=Height of the Section*Breadth of the web^3*(2.4*((Stirrup Spacing/Height of the Section)^2)-0.13)
I=h<sub></sub>*bw^3*(2.4*((s/h<sub></sub>)^2)-0.13)

More formulas

Web Thickness when Moment of Inertia is Given GO

What is Moment of Inertia ?

The area moment of inertia is a property of a two-dimensional plane shape which characterizes its deflection under loading. It is also known as the second moment of area or second moment of inertia. The area moment of inertia has dimensions of length to the fourth power.

How to Calculate Moment of Inertia?

Moment of Inertia calculator uses Area Moment Of Inertia=Height of the Section*Breadth of the web^3*(2.4*((Stirrup Spacing/Height of the Section)^2)-0.13) to calculate the Area Moment Of Inertia, The Moment of Inertia is second moment of area or moment of centroid of area enclosed from the plane. Area Moment Of Inertia and is denoted by I symbol.

How to calculate Moment of Inertia using this online calculator? To use this online calculator for Moment of Inertia, enter Height of the Section (h), Breadth of the web (bw) and Stirrup Spacing (s) and hit the calculate button. Here is how the Moment of Inertia calculation can be explained with given input values -> -0.017518 = 5*0.3^3*(2.4*((0.05/5)^2)-0.13).

FAQ

What is Moment of Inertia?

The Moment of Inertia is second moment of area or moment of centroid of area enclosed from the plane and is represented as I=h*bw^3*(2.4*((s/h)^2)-0.13) or Area Moment Of Inertia=Height of the Section*Breadth of the web^3*(2.4*((Stirrup Spacing/Height of the Section)^2)-0.13). Height of the Section can be described as the dimension(height) of the section, Breadth of the web (bw) is the effective width of the member for flanged section and Stirrup Spacing is the approximate minimum spacing between two bars in a section.

How to calculate Moment of Inertia?

The Moment of Inertia is second moment of area or moment of centroid of area enclosed from the plane is calculated using Area Moment Of Inertia=Height of the Section*Breadth of the web^3*(2.4*((Stirrup Spacing/Height of the Section)^2)-0.13). To calculate Moment of Inertia, you need Height of the Section (h), Breadth of the web (bw) and Stirrup Spacing (s). With our tool, you need to enter the respective value for Height of the Section, Breadth of the web and Stirrup Spacing 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 Height of the Section, Breadth of the web and Stirrup Spacing. 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=(Bending moment*Distance from neutral axis)/Bending Stress
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

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