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

✖Radius of Gyration about Minor Axis is the root mean square distance of the object's parts from either its center of mass or a given minor axis, depending on the relevant application.ⓘ Radius of Gyration about Minor Axis [r_y]			+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%
✖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%
✖Limiting Buckling Moment is the maximum value for the moment causing buckling in the member.ⓘ Limiting Buckling Moment [M_r]			+10% -10%

✖Limiting Length for Inelastic Buckling is the distance between two end points for inelastic lateral buckling.ⓘ Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams [L_r]

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

STEP 0: Pre-Calculation Summary

Formula Used

Limiting Length for Inelastic Buckling = (2*Radius of Gyration about Minor Axis*Elastic Modulus of Steel*sqrt(Torsional Constant*Cross Sectional Area in Steel Structures))/Limiting Buckling Moment
L_r = (2*r_y*E*sqrt(J*A))/M_r
This formula uses 1 Functions, 6 Variables

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

Limiting Length for Inelastic Buckling - (Measured in Millimeter) - Limiting Length for Inelastic Buckling is the distance between two end points for inelastic lateral buckling.
Radius of Gyration about Minor Axis - (Measured in Millimeter) - Radius of Gyration about Minor Axis is the root mean square distance of the object's parts from either its center of mass or a given minor axis, depending on the relevant application.
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.
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.
Limiting Buckling Moment - (Measured in Newton Meter) - Limiting Buckling Moment is the maximum value for the moment causing buckling in the member.

STEP 1: Convert Input(s) to Base Unit

Radius of Gyration about Minor Axis: 20 Millimeter --> 20 Millimeter No Conversion Required
Elastic Modulus of Steel: 200 Gigapascal --> 200 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
Limiting Buckling Moment: 3.85 Kilonewton Meter --> 3850 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_r = (2*r_y*E*sqrt(J*A))/M_r --> (2*20*200*sqrt(21.9*6400))/3850

Evaluating ... ...

L_r = 777.931400763684

STEP 3: Convert Result to Output's Unit

0.777931400763684 Meter -->777.931400763684 Millimeter (Check conversion here)

FINAL ANSWER

777.931400763684 ≈ 777.9314 Millimeter <-- Limiting Length for Inelastic Buckling

(Calculation completed in 00.020 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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

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What is Inelastic Buckling?

In between, for a column with intermediate length, buckling occurs after the stress in the column exceeds the proportional limit of the column material and before the stress reaches the ultimate strength. This kind of situation is called inelastic buckling. Elastic buckling occurs before yielding of material of which the member is made. And in case if the material of the member yields first followed by buckling in the inelastic zone , it is called plastic buckling.

How to Calculate Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams?

Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams calculator uses Limiting Length for Inelastic Buckling = (2*Radius of Gyration about Minor Axis*Elastic Modulus of Steel*sqrt(Torsional Constant*Cross Sectional Area in Steel Structures))/Limiting Buckling Moment to calculate the Limiting Length for Inelastic Buckling, The Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams formula is defined as the maximum unbraced length, particularly for box and solid sections. It involves the relationship between the radius of gyration, modulus of elasticity, torsional coefficient, buckling moment and area of the cross-section. Limiting Length for Inelastic Buckling is denoted by L_r symbol.

How to calculate Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams using this online calculator? To use this online calculator for Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams, enter Radius of Gyration about Minor Axis (r_y), Elastic Modulus of Steel (E), Torsional Constant (J), Cross Sectional Area in Steel Structures (A) & Limiting Buckling Moment (M_r) and hit the calculate button. Here is how the Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams calculation can be explained with given input values -> 777931.4 = (2*0.02*200000000000*sqrt(21.9*0.0064))/3850.

FAQ

What is Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams?

The Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams formula is defined as the maximum unbraced length, particularly for box and solid sections. It involves the relationship between the radius of gyration, modulus of elasticity, torsional coefficient, buckling moment and area of the cross-section and is represented as L_r = (2*r_y*E*sqrt(J*A))/M_r or Limiting Length for Inelastic Buckling = (2*Radius of Gyration about Minor Axis*Elastic Modulus of Steel*sqrt(Torsional Constant*Cross Sectional Area in Steel Structures))/Limiting Buckling Moment. Radius of Gyration about Minor Axis is the root mean square distance of the object's parts from either its center of mass or a given minor axis, depending on the relevant application, Elastic Modulus of Steel is a measure of the stiffness of steel. It quantifies the ability of steel to resist deformation under stress, 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 & Limiting Buckling Moment is the maximum value for the moment causing buckling in the member.

How to calculate Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams?

The Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams formula is defined as the maximum unbraced length, particularly for box and solid sections. It involves the relationship between the radius of gyration, modulus of elasticity, torsional coefficient, buckling moment and area of the cross-section is calculated using Limiting Length for Inelastic Buckling = (2*Radius of Gyration about Minor Axis*Elastic Modulus of Steel*sqrt(Torsional Constant*Cross Sectional Area in Steel Structures))/Limiting Buckling Moment. To calculate Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams, you need Radius of Gyration about Minor Axis (r_y), Elastic Modulus of Steel (E), Torsional Constant (J), Cross Sectional Area in Steel Structures (A) & Limiting Buckling Moment (M_r). With our tool, you need to enter the respective value for Radius of Gyration about Minor Axis, Elastic Modulus of Steel, Torsional Constant, Cross Sectional Area in Steel Structures & Limiting Buckling Moment 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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