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

✖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.ⓘ Buckling Load [P_{Buckling Load}]			+10% -10%
✖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.ⓘ Polar Moment of Inertia [I_p]			+10% -10%
✖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.ⓘ Torsional Constant [J]			+10% -10%
✖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.ⓘ Column Cross-Sectional Area [A]			+10% -10%

✖The Shear Modulus of Elasticity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain.ⓘ Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns [G]

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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 = (P_{Buckling Load}*I_p)/(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 = (P_{Buckling Load}*I_p)/(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 00.020 seconds)

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< Elastic Flexural Buckling of Columns Calculators

Axial Buckling Load for Warped Section

LaTeX 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)

Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns

LaTeX Go Column Cross-Sectional Area = (Buckling Load*Polar Moment of Inertia)/(Shear Modulus of Elasticity*Torsional Constant)

Torsional Buckling Load for Pin Ended Columns

LaTeX 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

LaTeX 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

LaTeX Go

Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area)
G = (P_{Buckling Load}*I_p)/(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 (P_{Buckling Load}), Polar Moment of Inertia (I_p), 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 = (P_{Buckling Load}*I_p)/(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 (P_{Buckling Load}), Polar Moment of Inertia (I_p), 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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