Beam Buckling Factor 2 Calculator

✖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.ⓘ Warping Constant [C_w]			+10% -10%
✖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.ⓘ Y Axis Moment of Inertia [I_y]			+10% -10%
✖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.ⓘ Section Modulus about Major Axis [S_x]			+10% -10%
✖Shear Modulus is the slope of the linear elastic region of the shear stress–strain curve.ⓘ Shear Modulus [G]			+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%

✖Beam Buckling Factor 2 is the value used as factor of safety against buckling by applied loads.ⓘ Beam Buckling Factor 2 [X₂]

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Beam Buckling Factor 2 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beam Buckling Factor 2 = ((4*Warping Constant)/Y Axis Moment of Inertia)*((Section Modulus about Major Axis)/(Shear Modulus*Torsional Constant))^2
X₂ = ((4*C_w)/I_y)*((S_x)/(G*J))^2
This formula uses 6 Variables

Variables Used

Beam Buckling Factor 2 - Beam Buckling Factor 2 is the value used as factor of safety against buckling by applied loads.
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.
Y Axis Moment of Inertia - (Measured in Meter⁴ per Meter) - 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.
Section Modulus about Major Axis - (Measured in Cubic Millimeter) - 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.
Shear Modulus - (Measured in Gigapascal) - Shear Modulus is the slope of the linear elastic region of the shear stress–strain curve.
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.

STEP 1: Convert Input(s) to Base Unit

Warping Constant: 0.2 --> No Conversion Required
Y Axis Moment of Inertia: 5000 Millimeter⁴ per Millimeter --> 5E-06 Meter⁴ per Meter (Check conversion here)
Section Modulus about Major Axis: 35 Cubic Millimeter --> 35 Cubic Millimeter No Conversion Required
Shear Modulus: 80 Gigapascal --> 80 Gigapascal No Conversion Required
Torsional Constant: 21.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X₂ = ((4*C_w)/I_y)*((S_x)/(G*J))^2 --> ((4*0.2)/5E-06)*((35)/(80*21.9))^2

Evaluating ... ...

X₂ = 63.8539646796355

STEP 3: Convert Result to Output's Unit

63.8539646796355 --> No Conversion Required

FINAL ANSWER

63.8539646796355 ≈ 63.85396 <-- Beam Buckling Factor 2

(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Beams Calculators

Maximum Laterally Unbraced Length for Plastic Analysis

LaTeX Go Laterally Unbraced Length for Plastic Analysis = Radius of Gyration about Minor Axis*(3600+2200*(Smaller Moments of Unbraced Beam/Plastic Moment))/(Minimum Yield Stress of Compression Flange)

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

LaTeX Go Laterally Unbraced Length for Plastic Analysis = (Radius of Gyration about Minor Axis*(5000+3000*(Smaller Moments of Unbraced Beam/Plastic Moment)))/Yield Stress of Steel

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

LaTeX Go Limiting Laterally Unbraced Length = (300*Radius of Gyration about Minor Axis)/sqrt(Flange Yield Stress)

Plastic Moment

LaTeX Go Plastic Moment = Specified Minimum Yield Stress*Plastic Modulus

Beam Buckling Factor 2 Formula

LaTeX Go

Beam Buckling Factor 2 = ((4*Warping Constant)/Y Axis Moment of Inertia)*((Section Modulus about Major Axis)/(Shear Modulus*Torsional Constant))^2
X₂ = ((4*C_w)/I_y)*((S_x)/(G*J))^2

Why is Beam Buckling Factor used?

The Buckling Failure can cause serious catastrophic results, a high factor of safety will be used for design purpose. Here, for calculating the limiting unbraced length two different safety factors are considered, among which one of them is evaluated using the above formula.

How to Calculate Beam Buckling Factor 2?

Beam Buckling Factor 2 calculator uses Beam Buckling Factor 2 = ((4*Warping Constant)/Y Axis Moment of Inertia)*((Section Modulus about Major Axis)/(Shear Modulus*Torsional Constant))^2 to calculate 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 calculate Beam Buckling Factor 2 using this online calculator? To use this online calculator 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. Here is how the Beam Buckling Factor 2 calculation can be explained with given input values -> 63.85396 = ((4*0.2)/5E-06)*((3.5E-08)/(80000000000*21.9))^2.

FAQ

What is 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 and is represented as X₂ = ((4*C_w)/I_y)*((S_x)/(G*J))^2 or Beam Buckling Factor 2 = ((4*Warping Constant)/Y Axis Moment of Inertia)*((Section Modulus about Major Axis)/(Shear Modulus*Torsional Constant))^2. 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, 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, 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, Shear Modulus is the slope of the linear elastic region of the shear stress–strain curve & 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.

How to calculate 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 is calculated using Beam Buckling Factor 2 = ((4*Warping Constant)/Y Axis Moment of Inertia)*((Section Modulus about Major Axis)/(Shear Modulus*Torsional Constant))^2. To calculate Beam Buckling Factor 2, you need Warping Constant (C_w), Y Axis Moment of Inertia (I_y), Section Modulus about Major Axis (S_x), Shear Modulus (G) & Torsional Constant (J). With our tool, you need to enter the respective value for Warping Constant, Y Axis Moment of Inertia, Section Modulus about Major Axis, Shear Modulus & Torsional Constant 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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