Beam Buckling Factor 1 Calculator

✖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%
✖Elastic Modulus of Steel is a measure of the stiffness of steel. It quantifies the ability of steel to resist deformation under stress.ⓘ Elastic Modulus of Steel [E]			+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%
✖Cross Sectional Area in Steel Structures is the area of a particular section of a structural element, such as a beam or column, when cut perpendicular to its longitudinal axis.ⓘ Cross Sectional Area in Steel Structures [A]			+10% -10%

✖Beam Buckling Factor 1 is the value which is considered as the factor of safety against buckling to currently applied loads.ⓘ Beam Buckling Factor 1 [X₁]

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Beam Buckling Factor 1 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beam Buckling Factor 1 = (pi/Section Modulus about Major Axis)*sqrt((Elastic Modulus of Steel*Shear Modulus*Torsional Constant*Cross Sectional Area in Steel Structures)/2)
X₁ = (pi/S_x)*sqrt((E*G*J*A)/2)
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Beam Buckling Factor 1 - Beam Buckling Factor 1 is the value which is considered as the factor of safety against buckling to currently applied loads.
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.
Elastic Modulus of Steel - (Measured in Gigapascal) - Elastic Modulus of Steel is a measure of the stiffness of steel. It quantifies the ability of steel to resist deformation under stress.
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.
Cross Sectional Area in Steel Structures - (Measured in Square Millimeter) - Cross Sectional Area in Steel Structures is the area of a particular section of a structural element, such as a beam or column, when cut perpendicular to its longitudinal axis.

STEP 1: Convert Input(s) to Base Unit

Section Modulus about Major Axis: 35 Cubic Millimeter --> 35 Cubic Millimeter No Conversion Required
Elastic Modulus of Steel: 200 Gigapascal --> 200 Gigapascal No Conversion Required
Shear Modulus: 80 Gigapascal --> 80 Gigapascal No Conversion Required
Torsional Constant: 21.9 --> No Conversion Required
Cross Sectional Area in Steel Structures: 6400 Square Millimeter --> 6400 Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X₁ = (pi/S_x)*sqrt((E*G*J*A)/2) --> (pi/35)*sqrt((200*80*21.9*6400)/2)

Evaluating ... ...

X₁ = 3005.65318010313

STEP 3: Convert Result to Output's Unit

3005.65318010313 --> No Conversion Required

FINAL ANSWER

3005.65318010313 ≈ 3005.653 <-- Beam Buckling Factor 1

(Calculation completed in 00.066 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

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 1 Formula

LaTeX Go

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 1?

Beam Buckling Factor 1 calculator uses Beam Buckling Factor 1 = (pi/Section Modulus about Major Axis)*sqrt((Elastic Modulus of Steel*Shear Modulus*Torsional Constant*Cross Sectional Area in Steel Structures)/2) to calculate the Beam Buckling Factor 1, The Beam Buckling Factor 1 formula is defined as the factor which is considered as the FOS against buckling load. It is a coefficient used in the design and analysis of steel structures to account for the effects of moment gradient on the lateral-torsional buckling strength of beams. Beam Buckling Factor 1 is denoted by X₁ symbol.

How to calculate Beam Buckling Factor 1 using this online calculator? To use this online calculator for Beam Buckling Factor 1, enter Section Modulus about Major Axis (S_x), Elastic Modulus of Steel (E), Shear Modulus (G), Torsional Constant (J) & Cross Sectional Area in Steel Structures (A) and hit the calculate button. Here is how the Beam Buckling Factor 1 calculation can be explained with given input values -> 3005.653 = (pi/3.5E-08)*sqrt((200000000000*80000000000*21.9*0.0064)/2).

FAQ

What is Beam Buckling Factor 1?

The Beam Buckling Factor 1 formula is defined as the factor which is considered as the FOS against buckling load. It is a coefficient used in the design and analysis of steel structures to account for the effects of moment gradient on the lateral-torsional buckling strength of beams and is represented as X₁ = (pi/S_x)*sqrt((E*G*J*A)/2) or Beam Buckling Factor 1 = (pi/Section Modulus about Major Axis)*sqrt((Elastic Modulus of Steel*Shear Modulus*Torsional Constant*Cross Sectional Area in Steel Structures)/2). 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, Elastic Modulus of Steel is a measure of the stiffness of steel. It quantifies the ability of steel to resist deformation under stress, 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 & Cross Sectional Area in Steel Structures is the area of a particular section of a structural element, such as a beam or column, when cut perpendicular to its longitudinal axis.

How to calculate Beam Buckling Factor 1?

The Beam Buckling Factor 1 formula is defined as the factor which is considered as the FOS against buckling load. It is a coefficient used in the design and analysis of steel structures to account for the effects of moment gradient on the lateral-torsional buckling strength of beams is calculated using Beam Buckling Factor 1 = (pi/Section Modulus about Major Axis)*sqrt((Elastic Modulus of Steel*Shear Modulus*Torsional Constant*Cross Sectional Area in Steel Structures)/2). To calculate Beam Buckling Factor 1, you need Section Modulus about Major Axis (S_x), Elastic Modulus of Steel (E), Shear Modulus (G), Torsional Constant (J) & Cross Sectional Area in Steel Structures (A). With our tool, you need to enter the respective value for Section Modulus about Major Axis, Elastic Modulus of Steel, Shear Modulus, Torsional Constant & Cross Sectional Area in Steel Structures 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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