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

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The Shear Modulus of Elasticity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Check FAQs

G = \frac{P Buckling Load \cdot I p}{J \cdot A}

G - Shear Modulus of Elasticity?P_{Buckling Load} - Buckling Load?I_p - Polar Moment of Inertia?J - Torsional Constant?A - Column Cross-Sectional Area?

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

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Here is how the Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns equation looks like with Values.

Here is how the Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns equation looks like with Units.

Here is how the Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns equation looks like.

230 = \frac{5 \cdot 322000}{10 \cdot 700}

230MPa = \frac{5N \cdot 322000mm⁴}{10 \cdot 700mm²}

230 = \frac{5 \cdot 322000}{10 \cdot 700}

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

Follow our step by step solution on how to calculate Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns?

FIRST Step Consider the formula

G = \frac{P Buckling Load \cdot I p}{J \cdot A}

Next Step Substitute values of Variables

∴

G = \frac{5N \cdot 322000mm⁴}{10 \cdot 700mm²}

Next Step Prepare to Evaluate

∴

G = \frac{5 \cdot 322000}{10 \cdot 700}

Next Step Evaluate

∴

G = 230000000Pa

LAST Step Convert to Output's Unit

∴

G = 230MPa

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

Variables

Shear Modulus of Elasticity

The Shear Modulus of Elasticity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain.

Symbol: G

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Modulus of Elasticity

Buckling Load

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.

Symbol: P_{Buckling Load}

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Buckling Load

Polar Moment of Inertia

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.

Symbol: I_p

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Polar Moment of Inertia

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.

Symbol: J

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Torsional Constant

Column Cross-Sectional Area

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.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Column Cross-Sectional Area

Other formulas in Elastic Flexural Buckling of Columns category

Go Torsional Buckling Load for Pin Ended Columns

P Buckling Load = \frac{G \cdot J \cdot A}{I p}

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

A = \frac{P Buckling Load \cdot I p}{G \cdot J}

Go Polar Moment of Inertia for Pin Ended Columns

I p = \frac{G \cdot J \cdot A}{P Buckling Load}

Go Axial Buckling Load for Warped Section

P Buckling Load = (\frac{A}{I p}) \cdot (G \cdot J + \frac{π^{2} \cdot E \cdot C w}{L^{2}})

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

Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns evaluator uses Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area) to evaluate 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 evaluate Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns?

The formula of Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns is expressed as Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area). Here is an example- 2.3E-5 = (5*3.22E-07)/(10*0.0007).

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

With Buckling Load (P_{Buckling Load}), Polar Moment of Inertia (I_p), Torsional Constant (J) & Column Cross-Sectional Area (A) we can find Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns using the formula - Shear Modulus of Elasticity = (Buckling Load*Polar Moment of Inertia)/(Torsional Constant*Column Cross-Sectional Area).

Can the Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns be negative?

No, the Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns, measured in Stress cannot be negative.

Which unit is used to measure Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns?

Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Shear Modulus of Elasticity given Torsional Buckling Load for Pin Ended Columns can be measured.

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

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

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

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

Other formulas in Elastic Flexural Buckling of Columns category

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

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

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