Pragati Jaju
College Of Engineering (COEP), Pune
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Kethavath Srinath
Osmania University (OU), Hyderabad
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11 Other formulas that you can solve using the same Inputs

Strain Energy due to Torsion in Hollow Shaft
Strain Energy=(Shear Stress^(2))*(Outer diameter^(2)+Inner Diameter^(2))*Volume of Shaft/(4*Shear Modulus*Outer diameter^(2)) Go
Coefficient of roughness when full flow velocity in sewer is given
roughness coefficient of conduit surface=(0.59*Inner Diameter^(2/3)*energy loss^(1/2))/flow velocity Go
Energy loss when full flow velocity in sewer is given
energy loss=((flow velocity*roughness coefficient of conduit surface)/(0.59*Inner Diameter^(2/3)))^2 Go
Full flow velocity in sewer
flow velocity=(0.59*Inner Diameter^(2/3)*energy loss^(1/2))/roughness coefficient of conduit surface Go
angle of twist for hollow cylindrical rod in degrees
Total Angle of Twist=584*Torque*Length/(Modulus of rigidity*((Outer diameter^4)-(Inner Diameter^4))) Go
Coefficient of roughness when flow quantity for a full flowing sewer is given
roughness coefficient of conduit surface=(0.463*energy loss^(1/2)*Inner Diameter^(8/3))/water flow Go
Energy loss when flow quantity for a full flowing sewer is given
energy loss=((water flow*roughness coefficient of conduit surface)/(0.463*Inner Diameter^(8/3)))^2 Go
Flow quantity for a full flowing sewer
water flow=(0.463*energy loss^(1/2)*Inner Diameter^(8/3))/roughness coefficient of conduit surface Go
Inner diameter of hollow circular section in terms of section modulus
Inner Diameter=((Outer diameter^4)-(Section Modulus*32*Outer diameter/pi))^(1/4) Go
Section modulus of hollow circular section
Section Modulus=(pi*((Outer diameter^4)-(Inner Diameter^4)))/(32*Outer diameter) Go
Distance of the outermost layer from neutral axis in hollow circular section
Distance b/w outermost and neutral layer=Outer diameter/2 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
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
Polar moment of Inertia=(pi*Shaft Diameter^(4))/32 Go

Moment of Inertia for Hollow Circular Shaft Formula

Polar moment of Inertia=pi*(Outer diameter^(4)-Inner Diameter^(4))/32
J=pi*(Do^(4)-Di^(4))/32
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Young's Modulus Go
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Factor of Safety Go
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Shear Stress Go
Bulk Stress Go
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Shear Strain Go
Bulk Strain Go
Bulk Modulus Go
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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 about Polar Axis 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 Moment of Inertia?

Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force).

How to Calculate Moment of Inertia for Hollow Circular Shaft?

Moment of Inertia for Hollow Circular Shaft calculator uses Polar moment of Inertia=pi*(Outer diameter^(4)-Inner Diameter^(4))/32 to calculate the Polar moment of Inertia, The Moment of Inertia for Hollow Circular Shaft 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 for Hollow Circular Shaft using this online calculator? To use this online calculator for Moment of Inertia for Hollow Circular Shaft, enter Outer diameter (Do) and Inner Diameter (Di) and hit the calculate button. Here is how the Moment of Inertia for Hollow Circular Shaft calculation can be explained with given input values -> 0 = pi*(50^(4)-50^(4))/32.

FAQ

What is Moment of Inertia for Hollow Circular Shaft?
The Moment of Inertia for Hollow Circular Shaft is a shaft or beam's resistance to being distorted by torsion, as a function of its shape and is represented as J=pi*(Do^(4)-Di^(4))/32 or Polar moment of Inertia=pi*(Outer diameter^(4)-Inner Diameter^(4))/32. The Outer Diameter is the diameter of outer edge of circular hollow shaft and The Inner Diameter is the diameter of inner circle of circular hollow shaft.
How to calculate Moment of Inertia for Hollow Circular Shaft?
The Moment of Inertia for Hollow Circular Shaft 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*(Outer diameter^(4)-Inner Diameter^(4))/32. To calculate Moment of Inertia for Hollow Circular Shaft, you need Outer diameter (Do) and Inner Diameter (Di). With our tool, you need to enter the respective value for Outer diameter and Inner 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 Outer diameter and Inner Diameter. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Polar moment of Inertia=(pi*Shaft 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
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