Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has created this Calculator and 50+ more calculators!
Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 500+ more calculators!

1 Other formulas that you can solve using the same Inputs

Outer diameter of hub of large-size gear
Outer diameter of hub=2*Shaft Diameter Go

9 Other formulas that calculate the same Output

Polar Moment of Inertia when Axial Buckling Load for a Warped Section is Given
Polar moment of Inertia=(Cross sectional area/Axial buckling Load)*(Shear Modulus of Elasticity*Torsion constant+((pi^2)*Young's Modulus*Warping Constant/(Length^2))) Go
Polar Moment of Inertia for Pin Ended Columns
Polar moment of Inertia=Shear Modulus of Elasticity*Torsion constant*Cross sectional area/Torsional buckling load Go
Polar Moment Of Inertia Of Hollow Circular Shaft
Polar moment of Inertia=(pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32 Go
Polar moment of inertia of of hollow shaft
Polar moment of Inertia=(pi*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/32 Go
Polar Moment of Inertia when Strain Energy in Torsion is Given
Polar moment of Inertia=(Torque^2)*Length/(2*Strain Energy*Shear Modulus of Elasticity) Go
Moment of Inertia for Hollow Circular Shaft
Polar moment of Inertia=pi*(Outer diameter^(4)-Inner Diameter^(4))/32 Go
Polar Moment of Inertia of a Shaft
Polar moment of Inertia=(2*pi*Thickness of Shaft*Radius of Shaft^3) Go
Polar moment of inertia of shaft in terms of torque transmitted by the shaft
Polar moment of Inertia=(Torque*Radius)/Maximum shear stress Go
Polar Moment Of Inertia Of Solid Circular Shaft
Polar moment of Inertia=(pi*(Diameter of shaft)^4)/32 Go

Moment of Inertia about Polar Axis Formula

Polar moment of Inertia=(pi*Shaft Diameter^(4))/32
J=(pi*D^(4))/32
More formulas
Young's Modulus Go
Bulk Modulus Go
Factor of Safety Go
Strain Energy Density Go
Shear strength for double parallel fillet weld Go
Shear Stress Go
Bulk Stress Go
Tensile Strain Go
Shear Strain Go
Bulk Strain Go
Bulk Modulus Go
Elastic Modulus Go
Shear Modulus Go
Brinell Hardness Number Go
Shear Strain Go
Axial elongation of prismatic bar due to external load Go
Elongation of prismatic bar due to its own weight Go
Elongation circular tapered bar Go
Strain energy due to pure shear Go
Strain Energy if moment value is given Go
Strain Energy if Torsion Moment Value is Given Go
Strain Energy if applied tension load is given Go
Deflection of fixed beam with load at center Go
Hooke's law Go
Poisson's Ratio Go
Longitudinal strain Go
Lateral Strain Go
Volumetric Strain Go
Volumetric Strain Go
Deflection of fixed beam with uniformly distributed load Go
Stress due to gradual loading Go
Stress due to sudden loading Go
Stress due to impact loading Go
Thermal Stress Go
Thermal Stress in tapered bar Go
Section Modulus Go
Shearing Stress Go
Maximum Shearing Stress Go
Shear Stress of Circular Beam Go
Direct Stress Go
Bending Stress Go
Torsional Shear Stress Go
Equivalent Torsional Moment Go
Equivalent Bending Moment Go
Slenderness Ratio Go
Rankine's Formula for Columns Go
Total Angle of Twist Go
Moment of Inertia for Hollow Circular Shaft Go
Strain Energy in Torsion Go
Strain Energy due to Torsion in Hollow Shaft Go
Strain Energy in Torsion for Solid Shaft Go

What is Polar Moment of Inertia?

Polar Moment of Inertia is a measure of an object’s capacity to oppose or resist torsion when some amount of torque is applied to it on a specified axis. Torsion, on the other hand, is nothing but the twisting of an object due to an applied torque. Polar moment of inertia basically describes the cylindrical object’s (including its segments) resistance to torsional deformation when torque is applied in a plane that is parallel to the cross-section area or in a plane that is perpendicular to the object’s central axis.

How to Calculate Moment of Inertia about Polar Axis?

Moment of Inertia about Polar Axis calculator uses Polar moment of Inertia=(pi*Shaft Diameter^(4))/32 to calculate the Polar moment of Inertia, The Moment of Inertia about Polar Axis is a shaft or beam's resistance to being distorted by torsion, as a function of its shape. Polar moment of Inertia and is denoted by J symbol.

How to calculate Moment of Inertia about Polar Axis using this online calculator? To use this online calculator for Moment of Inertia about Polar Axis, enter Shaft Diameter (D) and hit the calculate button. Here is how the Moment of Inertia about Polar Axis calculation can be explained with given input values -> 613592.3 = (pi*50^(4))/32.

FAQ

What is Moment of Inertia about Polar Axis?
The Moment of Inertia about Polar Axis is a shaft or beam's resistance to being distorted by torsion, as a function of its shape and is represented as J=(pi*D^(4))/32 or Polar moment of Inertia=(pi*Shaft Diameter^(4))/32. The Shaft Diameter is defined as the diameter of the hole in the iron laminations that contains the shaft.
How to calculate Moment of Inertia about Polar Axis?
The Moment of Inertia about Polar Axis is a shaft or beam's resistance to being distorted by torsion, as a function of its shape is calculated using Polar moment of Inertia=(pi*Shaft Diameter^(4))/32. To calculate Moment of Inertia about Polar Axis, you need Shaft Diameter (D). With our tool, you need to enter the respective value for Shaft Diameter 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 Polar moment of Inertia?
In this formula, Polar moment of Inertia uses Shaft Diameter. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Polar moment of Inertia=pi*(Outer diameter^(4)-Inner Diameter^(4))/32
  • Polar moment of Inertia=(pi*(Diameter of shaft)^4)/32
  • Polar moment of Inertia=(pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32
  • Polar moment of Inertia=(Torque^2)*Length/(2*Strain Energy*Shear Modulus of Elasticity)
  • Polar moment of Inertia=Shear Modulus of Elasticity*Torsion constant*Cross sectional area/Torsional buckling load
  • Polar moment of Inertia=(Cross sectional area/Axial buckling Load)*(Shear Modulus of Elasticity*Torsion constant+((pi^2)*Young's Modulus*Warping Constant/(Length^2)))
  • Polar moment of Inertia=(2*pi*Thickness of Shaft*Radius of Shaft^3)
  • Polar moment of Inertia=(Torque*Radius)/Maximum shear stress
  • Polar moment of Inertia=(pi*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/32
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!