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Beam Buckling Factor 2 Formula

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Beam Buckling Factor 2 is the value used as factor of safety against buckling by applied loads. Check FAQs

X 2 = (\frac{4 \cdot C w}{I y}) \cdot {(\frac{S x}{G \cdot J})}^{2}

X₂ - Beam Buckling Factor 2?C_w - Warping Constant?I_y - Y Axis Moment of Inertia?S_x - Section Modulus about Major Axis?G - Shear Modulus?J - Torsional Constant?

Beam Buckling Factor 2 Example

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Here is how the Beam Buckling Factor 2 equation looks like with Units.

Here is how the Beam Buckling Factor 2 equation looks like.

63.854 = (\frac{4 \cdot 0.2}{5000}) \cdot {(\frac{35}{80 \cdot 21.9})}^{2}

63.854 = (\frac{4 \cdot 0.2}{5000mm⁴/mm}) \cdot {(\frac{35mm³}{80GPa \cdot 21.9})}^{2}

63.854 = (\frac{4 \cdot 0.2}{5000}) \cdot {(\frac{35}{80 \cdot 21.9})}^{2}

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Beam Buckling Factor 2 Solution

Follow our step by step solution on how to calculate Beam Buckling Factor 2?

FIRST Step Consider the formula

X 2 = (\frac{4 \cdot C w}{I y}) \cdot {(\frac{S x}{G \cdot J})}^{2}

Next Step Substitute values of Variables

∴

X 2 = (\frac{4 \cdot 0.2}{5000mm⁴/mm}) \cdot {(\frac{35mm³}{80GPa \cdot 21.9})}^{2}

Next Step Convert Units

∴

X 2 = (\frac{4 \cdot 0.2}{5E-6m⁴/m}) \cdot {(\frac{35mm³}{80GPa \cdot 21.9})}^{2}

Next Step Prepare to Evaluate

∴

X 2 = (\frac{4 \cdot 0.2}{5E-6}) \cdot {(\frac{35}{80 \cdot 21.9})}^{2}

Next Step Evaluate

∴

X 2 = 63.8539646796355

LAST Step Rounding Answer

∴

X 2 = 63.854

Beam Buckling Factor 2 Formula Elements

Variables

Beam Buckling Factor 2

Beam Buckling Factor 2 is the value used as factor of safety against buckling by applied loads.

Symbol: X₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Beam Buckling Factor 2

Warping Constant

Warping Constant is a measure of the resistance of a thin-walled open cross-section to warping. Warping refers to the out-of-plane deformation of the cross-section that occurs during torsion.

Symbol: C_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Warping Constant

Y Axis Moment of Inertia

Y Axis Moment of Inertia is a geometric property of a cross-section that measures its resistance to bending about the y-axis, also known as the second moment of area about the y-axis.

Symbol: I_y

Measurement: Moment of Inertia per Unit LengthUnit: mm⁴/mm

Note: Value should be greater than 0.

Formulas to find Y Axis Moment of Inertia

Section Modulus about Major Axis

Section Modulus about Major Axis is the ratio between second moment of area to distance from neutral axis to extreme fiber about the major axis.

Symbol: S_x

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus about Major Axis

Shear Modulus

Shear Modulus is the slope of the linear elastic region of the shear stress–strain curve.

Symbol: G

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Shear Modulus

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 can be positive or negative.

Formulas to find Torsional Constant

Other formulas in Beams category

Go Maximum Laterally Unbraced Length for Plastic Analysis

L pd = r y \cdot \frac{3600 + 2200 \cdot (\frac{M 1}{M p})}{F yc}

Go Maximum Laterally Unbraced Length for Plastic Analysis in Solid Bars and Box Beams

L pd = \frac{r y \cdot (5000 + 3000 \cdot (\frac{M 1}{M p}))}{F y}

Go Plastic Moment

M p = F yw \cdot Z p

Go Limiting Laterally Unbraced Length for Full Plastic Bending Capacity for I and Channel Sections

L p = \frac{300 \cdot r y}{\sqrt{F yf}}

How to Evaluate Beam Buckling Factor 2?

Beam Buckling Factor 2 evaluator uses Beam Buckling Factor 2 = ((4*Warping Constant)/Y Axis Moment of Inertia)*((Section Modulus about Major Axis)/(Shear Modulus*Torsional Constant))^2 to evaluate the Beam Buckling Factor 2, The Beam Buckling Factor 2 formula is defined as the safety factor value against buckling failure due to load acting on the member. The lateral-torsional buckling factor that affects the critical moment of a steel beam subjected to bending. Lateral-torsional buckling is a mode of failure where the beam undergoes lateral displacement and twisting due to the applied load. Beam Buckling Factor 2 is denoted by X₂ symbol.

How to evaluate Beam Buckling Factor 2 using this online evaluator? To use this online evaluator for Beam Buckling Factor 2, enter Warping Constant (C_w), Y Axis Moment of Inertia (I_y), Section Modulus about Major Axis (S_x), Shear Modulus (G) & Torsional Constant (J) and hit the calculate button.

FAQs on Beam Buckling Factor 2

What is the formula to find Beam Buckling Factor 2?

The formula of Beam Buckling Factor 2 is expressed as Beam Buckling Factor 2 = ((4*Warping Constant)/Y Axis Moment of Inertia)*((Section Modulus about Major Axis)/(Shear Modulus*Torsional Constant))^2. Here is an example- 63.85396 = ((4*0.2)/5E-06)*((3.5E-08)/(80000000000*21.9))^2.

How to calculate Beam Buckling Factor 2?

With Warping Constant (C_w), Y Axis Moment of Inertia (I_y), Section Modulus about Major Axis (S_x), Shear Modulus (G) & Torsional Constant (J) we can find Beam Buckling Factor 2 using the formula - Beam Buckling Factor 2 = ((4*Warping Constant)/Y Axis Moment of Inertia)*((Section Modulus about Major Axis)/(Shear Modulus*Torsional Constant))^2.

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Beam Buckling Factor 2 Formula

Beam Buckling Factor 2 Example

Beam Buckling Factor 2 Solution

Beam Buckling Factor 2 Formula Elements

Other formulas in Beams category

How to Evaluate Beam Buckling Factor 2?

FAQs on Beam Buckling Factor 2

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