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

GoCross-Sectional Area given Axial Buckling Load for Warped Section Formula

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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. Check FAQs

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

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

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

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Here is how the Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns equation looks like with Values.

Here is how the Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns equation looks like with Units.

Here is how the Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns equation looks like.

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

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

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

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

Follow our step by step solution on how to calculate Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A = 0.0007m²

LAST Step Convert to Output's Unit

∴

A = 700mm²

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

Variables

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

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

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

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

Other Formulas to find Column Cross-Sectional Area

Go Cross-Sectional Area given Axial Buckling Load for Warped Section

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

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 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}})

Go Polar Moment of Inertia for Axial Buckling Load for Warped Section

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

How to Evaluate Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns?

Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns evaluator uses Column Cross-Sectional Area = (Buckling Load*Polar Moment of Inertia)/(Shear Modulus of Elasticity*Torsional Constant) to evaluate the Column Cross-Sectional Area, The Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns formula is defined as an area of the two-dimensional shape obtained when a column is sliced perpendicular to it's length axis at a point. Column Cross-Sectional Area is denoted by A symbol.

How to evaluate Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns using this online evaluator? To use this online evaluator for Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns, enter Buckling Load (P_{Buckling Load}), Polar Moment of Inertia (I_p), Shear Modulus of Elasticity (G) & Torsional Constant (J) and hit the calculate button.

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

What is the formula to find Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns?

The formula of Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns is expressed as Column Cross-Sectional Area = (Buckling Load*Polar Moment of Inertia)/(Shear Modulus of Elasticity*Torsional Constant). Here is an example- 7E+7 = (5*3.22E-07)/(230000000*10).

How to calculate Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns?

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

What are the other ways to Calculate Column Cross-Sectional Area?

Here are the different ways to Calculate Column Cross-Sectional Area-

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))

Can the Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns be negative?

No, the Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns?

Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns can be measured.

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

​GoCross-Sectional Area given Axial Buckling Load for Warped Section Formula

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

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

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

Other Formulas to find Column Cross-Sectional Area

Other formulas in Elastic Flexural Buckling of Columns category

How to Evaluate Cross-Sectional Area given Torsional Buckling Load for Pin Ended Columns?

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

Variable Name

GoCross-Sectional Area given Axial Buckling Load for Warped Section Formula