Rudrani Tidke
Cummins College of Engineering for Women (CCEW), 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

Stress at Point y for a Curved Beam
Stress=((Bending Moment )/(Cross sectional area*Radius of Centroidal Axis))*(1+((Distance of Point from Centroidal Axis)/(Cross-Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis)))) GO
Bending Moment When Stress is Applied at Point y in a Curved Beam
Bending Moment =((Stress*Cross sectional area*Radius of Centroidal Axis)/(1+(Distance of Point from Centroidal Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis))))) GO
Neutral Axis to Outermost Fiber Distance when Total Unit Stress in Eccentric Loading is Given
Outermost Fiber Distance=(Total Unit Stress-(Axial Load/Cross sectional area))*Moment of Inertia about Neutral Axis/(Axial Load*Distance_from Load Applied) GO
Total Unit Stress in Eccentric Loading
Total Unit Stress=(Axial Load/Cross sectional area)+(Axial Load*Outermost Fiber Distance*Distance_from Load Applied/Moment of Inertia about Neutral Axis) GO
Maximum Bending Moment when Maximum Stress For Short Beams is Given
Maximum Bending Moment=((Maximum stress at crack tip-(Axial Load/Cross sectional area))*Moment of Inertia)/Distance from the Neutral axis GO
Maximum Stress For Short Beams
Maximum stress at crack tip=(Axial Load/Cross sectional area)+((Maximum Bending Moment*Distance from the Neutral axis)/Moment of Inertia) GO
Axial Load when Maximum Stress For Short Beams is Given
Axial Load=Cross sectional area*(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia)) GO
Electric Current when Drift Velocity is Given
Electric Current=Number of free charge particles per unit volume*[Charge-e]*Cross sectional area*Drift Velocity GO
Resistance
Resistance=(Resistivity*Length of Conductor)/Cross sectional area GO
Centrifugal Stress
Centrifugal Stress=2*Tensile Stress*Cross sectional area GO
Rate of Flow
Rate of flow=Cross sectional area*Average Velocity GO

6 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 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 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 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

Polar Moment of Inertia for Pin Ended Columns Formula

Polar moment of Inertia=Shear Modulus of Elasticity*Torsion constant*Cross sectional area/Torsional buckling load
J=G*J*A/P<sub>t</sub>
More formulas
Critical Buckling Load for Pin Ended Columns GO
Slenderness Ratio of when Critical Buckling Load for Pin Ended Columns is Given GO
Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given GO
Elastic Critical Buckling Load GO
Cross-Sectional Area when Elastic Critical Buckling Load is Given GO
Radius of Gyration of Column when Elastic Critical Buckling Load is Given GO
Torsional Buckling Load for Pin Ended Columns GO
Cross-Sectional Area when Torsional Buckling Load for Pin Ended Columns is Given GO
Axial Buckling Load for a Warped Section GO
Cross-Sectional Area when Axial Buckling Load for a Warped Section is Given GO
Polar Moment of Inertia when Axial Buckling Load for a Warped Section is Given GO

When does Lateral torsional buckling occur?

Lateral torsional buckling may occur in an unrestrained beam. A beam is considered to be unrestrained when its compression flange is free to displace laterally and rotate. When an applied load causes both lateral displacement and twisting of a member lateral torsional buckling has occurred.

How to Calculate Polar Moment of Inertia for Pin Ended Columns?

Polar Moment of Inertia for Pin Ended Columns calculator uses Polar moment of Inertia=Shear Modulus of Elasticity*Torsion constant*Cross sectional area/Torsional buckling load to calculate the Polar moment of Inertia, The Polar Moment of Inertia for Pin Ended Columns formula is defined as a measurement of a round bar's capacity to oppose torsion. It is required to compute the twist of a column subjected to a torque. Polar moment of Inertia and is denoted by J symbol.

How to calculate Polar Moment of Inertia for Pin Ended Columns using this online calculator? To use this online calculator for Polar Moment of Inertia for Pin Ended Columns, enter Shear Modulus of Elasticity (G), Torsion constant (J), Cross sectional area (A) and Torsional buckling load (Pt) and hit the calculate button. Here is how the Polar Moment of Inertia for Pin Ended Columns calculation can be explained with given input values -> 1500 = 100*15*10/10.

FAQ

What is Polar Moment of Inertia for Pin Ended Columns?
The Polar Moment of Inertia for Pin Ended Columns formula is defined as a measurement of a round bar's capacity to oppose torsion. It is required to compute the twist of a column subjected to a torque and is represented as J=G*J*A/Pt or Polar moment of Inertia=Shear Modulus of Elasticity*Torsion constant*Cross sectional area/Torsional buckling load. Shear Modulus of Elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young's modulus and bulk modulus, Torsion constant is a geometrical property of a cross section of bar which is involved in the relationship between angle of twist and applied torque along the axis of the bar, Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specifies axis at a point and Torsional buckling load is an applied load causes both lateral displacement and twisting of a member.
How to calculate Polar Moment of Inertia for Pin Ended Columns?
The Polar Moment of Inertia for Pin Ended Columns formula is defined as a measurement of a round bar's capacity to oppose torsion. It is required to compute the twist of a column subjected to a torque is calculated using Polar moment of Inertia=Shear Modulus of Elasticity*Torsion constant*Cross sectional area/Torsional buckling load. To calculate Polar Moment of Inertia for Pin Ended Columns, you need Shear Modulus of Elasticity (G), Torsion constant (J), Cross sectional area (A) and Torsional buckling load (Pt). With our tool, you need to enter the respective value for Shear Modulus of Elasticity, Torsion constant, Cross sectional area and Torsional buckling load 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 Shear Modulus of Elasticity, Torsion constant, Cross sectional area and Torsional buckling load. We can use 6 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*(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=(Cross sectional area/Axial buckling Load)*(Shear Modulus of Elasticity*Torsion constant+((pi^2)*Young's Modulus*Warping Constant/(Length^2)))
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