Beam Buckling Factor 1 Calculator

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✖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%
✖Modulus Of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus Of Elasticity [E]			+10% -10%
✖Shear Modulus of Elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young's modulus and bulk modulus.ⓘ Shear Modulus of Elasticity [G]			+10% -10%
✖The 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%
✖Area of cross section is the enclosed surface area, product of length and breadth. ⓘ Area of cross section [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

Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 100+ more calculators!

Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 400+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Maximum and Center Deflection of Cantilever Beam carrying Point Load at any point

Deflection=(Point Load acting on the Beam*(Distance from end A^2)*(3*Length-Distance from end A))/(6*Modulus Of Elasticity*Area Moment of Inertia) GO

Maximum and Center Deflection of Simply Supported Beam carrying UDL over its entire Length

Deflection=(5*Uniformly Distributed Load*(Length^4))/(384*Modulus Of Elasticity*Area Moment of Inertia) GO

Maximum and Center Deflection of Simply Supported Beam carrying Point Load at Center

Deflection=(Point Load acting on the Beam*(Length^3))/(48*Modulus Of Elasticity*Area Moment of Inertia) GO

Maximum and Center Deflection of Cantilever Beam carrying Point Load at Free End

Deflection=(Point Load acting on the Beam*(Length^3))/(3*Modulus Of Elasticity*Area Moment of Inertia) GO

Strain Energy in Shear when Shear Deformation is Given

Strain Energy=(Shear Area*Shear Modulus of Elasticity*(Shear Deformation^2))/(2*Length) GO

Maximum and Center Deflection of Cantilever Beam with Couple Moment at Free End

Deflection=(Couple Moment*(Length^2))/(2*Modulus Of Elasticity*Area Moment of Inertia) GO

Shear Load when Strain Energy in Shear is Given

Shear Force=sqrt(2*Strain Energy*Shear Area*Shear Modulus of Elasticity/Length) GO

Shear Area when Strain Energy in Shear is Given

Shear Area=(Shear Force^2)*Length/(2*Strain Energy*Shear Modulus of Elasticity) GO

Strain Energy in Shear

Strain Energy=(Shear Force^2)*Length/(2*Shear Area*Shear Modulus of Elasticity) GO

Length over which Deformation Takes Place when Strain Energy in Shear is Given

Length=2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2) GO

Stress using Hook's Law

Stress=Modulus Of Elasticity*Engineering strain GO

Beam Buckling Factor 1 Formula

Beam buckling factor 1=(pi/Section modulus about major axis)*sqrt(Modulus Of Elasticity*Shear Modulus of Elasticity*Torsional constant*Area of cross section/2)
X<sub>1</sub>=(pi/S<sub>x</sub>)*sqrt(E*G*J*A/2)

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Maximum Laterally Unbraced Length for Plastic Analysis GO

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

Limiting Laterally Unbraced Length for Full Plastic Bending Capacity for Solid Bar and Box Beams GO

Limiting Laterally Unbraced Length for Inelastic Lateral Buckling GO

Specified Minimum Yield Stress for Web if Lr is Given GO

Beam Buckling Factor 2 GO

Limiting Buckling Moment GO

Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams GO

Critical Elastic Moment GO

Critical Elastic Moment for Box Sections and Solid Bars GO

Why is beam buckling factor used?

Since 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(Modulus Of Elasticity*Shear Modulus of Elasticity*Torsional constant*Area of cross section/2) to calculate the Beam buckling factor 1, The Beam Buckling Factor 1 is the factor which is considered as the factor of safety against buckling load. . Beam buckling factor 1 and 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), Modulus Of Elasticity (E), Shear Modulus of Elasticity (G), Torsional constant (J) and Area of cross section (A) and hit the calculate button. Here is how the Beam Buckling Factor 1 calculation can be explained with given input values -> 9.734E+11 = (pi/5E-08)*sqrt(10000*100*10*48/2).

FAQ

What is Beam Buckling Factor 1?

The Beam Buckling Factor 1 is the factor which is considered as the factor of safety against buckling load. 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(Modulus Of Elasticity*Shear Modulus of Elasticity*Torsional constant*Area of cross section/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. , Modulus Of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, Shear Modulus of Elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young's modulus and bulk modulus, The 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 and Area of cross section is the enclosed surface area, product of length and breadth. .

How to calculate Beam Buckling Factor 1?

The Beam Buckling Factor 1 is the factor which is considered as the factor of safety against buckling load. is calculated using Beam buckling factor 1=(pi/Section modulus about major axis)*sqrt(Modulus Of Elasticity*Shear Modulus of Elasticity*Torsional constant*Area of cross section/2). To calculate Beam Buckling Factor 1, you need Section modulus about major axis (S_x), Modulus Of Elasticity (E), Shear Modulus of Elasticity (G), Torsional constant (J) and Area of cross section (A). With our tool, you need to enter the respective value for Section modulus about major axis, Modulus Of Elasticity, Shear Modulus of Elasticity, Torsional constant and Area of cross section 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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