Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area)
G = (PBuckling Load*Ip)/(J*A)
This formula uses 5 Variables
Variables Used
Shear Modulus of Elasticity - (Measured in Megapascal) - The Shear Modulus of Elasticity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain.
Buckling Load - (Measured in Newton) - The Buckling Load is the load at which the column starts buckling. The buckling load of a given material depends on the Slenderness ratio, Area of a cross-section, and Modulus of Elasticity.
Polar Moment of Inertia - (Measured in Millimeter⁴) - The 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.
Torsional Constant - Torsional Constant is a geometrical property of a bar's cross-section which is involved in the relationship between the angle of twist and applied torque along the axis of the bar.
Column Cross-Sectional Area - (Measured in Square Millimeter) - Column Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point.
STEP 1: Convert Input(s) to Base Unit
Buckling Load: 5 Newton --> 5 Newton No Conversion Required
Polar Moment of Inertia: 322000 Millimeter⁴ --> 322000 Millimeter⁴ No Conversion Required
Torsional Constant: 10 --> No Conversion Required
Column Cross-Sectional Area: 700 Square Millimeter --> 700 Square Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
G = (PBuckling Load*Ip)/(J*A) --> (5*322000)/(10*700)
Evaluating ... ...
G = 230
STEP 3: Convert Result to Output's Unit
230000000 Pascal -->230 Megapascal (Check conversion here)
FINAL ANSWER
230 Megapascal <-- Shear Modulus of Elasticity
(Calculation completed in 00.004 seconds)

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7 Elastic Flexural Buckling of Columns Calculators

Cross-Sectional Area given Axial Buckling Load for Warped Section
Go Column Cross-Sectional Area = (Buckling Load*Polar Moment of Inertia)/(Shear Modulus of Elasticity*Torsional Constant+((pi^2*Modulus of Elasticity*Warping Constant)/Effective Length of Column^2))
Polar Moment of Inertia for Axial Buckling Load for Warped Section
Go Polar Moment of Inertia = Column Cross-Sectional Area/Buckling Load*(Shear Modulus of Elasticity*Torsional Constant+((pi^2*Modulus of Elasticity*Warping Constant)/Effective Length of Column^2))
Axial Buckling Load for Warped Section
Go Buckling Load = (Column Cross-Sectional Area/Polar Moment of Inertia)*(Shear Modulus of Elasticity*Torsional Constant+(pi^2*Modulus of Elasticity*Warping Constant)/Effective Length of Column^2)
Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns
Go Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area)
Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns
Go Column Cross-Sectional Area = (Buckling Load*Polar Moment of Inertia)/(Shear Modulus of Elasticity*Torsional Constant)
Torsional Buckling Load for Pin Ended Columns
Go Buckling Load = (Shear Modulus of Elasticity*Torsional Constant*Column Cross-Sectional Area)/Polar Moment of Inertia
Polar Moment of Inertia for Pin Ended Columns
Go Polar Moment of Inertia = (Shear Modulus of Elasticity*Torsional Constant*Column Cross-Sectional Area)/Buckling Load

Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns Formula

Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area)
G = (PBuckling Load*Ip)/(J*A)

What is Buckling Load in Column?

Buckling can be defined as the sudden large deformation of the structure due to a slight increase of an existing load under which the structure exhibited little deformation, before the load was increased.

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 Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns?

Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns calculator uses Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area) to calculate the Shear Modulus of Elasticity, The Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Shear Modulus of Elasticity is denoted by G symbol.

How to calculate Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns using this online calculator? To use this online calculator for Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns, enter Buckling Load (PBuckling Load), Polar Moment of Inertia (Ip), Torsional Constant (J) & Column Cross-Sectional Area (A) and hit the calculate button. Here is how the Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns calculation can be explained with given input values -> 2.3E-5 = (5*3.22E-07)/(10*0.0007).

FAQ

What is Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns?
The Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain and is represented as G = (PBuckling Load*Ip)/(J*A) or Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area). The Buckling Load is the load at which the column starts buckling. The buckling load of a given material depends on the Slenderness ratio, Area of a cross-section, and Modulus of Elasticity, The 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, Torsional Constant is a geometrical property of a bar's cross-section which is involved in the relationship between the angle of twist and applied torque along the axis of the bar & Column Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point.
How to calculate Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns?
The Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain is calculated using Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area). To calculate Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns, you need Buckling Load (PBuckling Load), Polar Moment of Inertia (Ip), Torsional Constant (J) & Column Cross-Sectional Area (A). With our tool, you need to enter the respective value for Buckling Load, Polar Moment of Inertia, Torsional Constant & Column Cross-Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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