Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length 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%
✖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]			+10% -10%
✖Beam Buckling Factor 2 is the value used as factor of safety against buckling by applied loads.ⓘ Beam Buckling Factor 2 [X₂]			+10% -10%
✖Smaller Yield Stress is the yield stress value, which is smallest among, yield stress in web, flange or residual stress.ⓘ Smaller Yield Stress [F_l]			+10% -10%
✖Limiting Length is the maximum length of a structural member before certain design considerations, such as buckling, vibration, and deflection, become critical.ⓘ Limiting Length [L_lim]			+10% -10%
✖Compressive Residual Stress in Flange is the stress formed after plastic deformation, if the residue at a location has a value of -100 MPa, it is said to be compressive residual stress.ⓘ Compressive Residual Stress in Flange [F_r]			+10% -10%

✖Specified Minimum Yield Stress represents the minimum tensile stress or yield stress required by the flexural member, ex- web.ⓘ Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length [F_yw]

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Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specified Minimum Yield Stress = ((Radius of Gyration about Minor Axis*Beam Buckling Factor 1*sqrt(1+sqrt(1+(Beam Buckling Factor 2*Smaller Yield Stress^2))))/Limiting Length)+Compressive Residual Stress in Flange
F_yw = ((r_y*X₁*sqrt(1+sqrt(1+(X₂*F_l^2))))/L_lim)+F_r
This formula uses 1 Functions, 7 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

Specified Minimum Yield Stress - (Measured in Megapascal) - Specified Minimum Yield Stress represents the minimum tensile stress or yield stress required by the flexural member, ex- web.
Radius of Gyration about Minor Axis - (Measured in Meter) - 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.
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.
Beam Buckling Factor 2 - Beam Buckling Factor 2 is the value used as factor of safety against buckling by applied loads.
Smaller Yield Stress - (Measured in Megapascal) - Smaller Yield Stress is the yield stress value, which is smallest among, yield stress in web, flange or residual stress.
Limiting Length - (Measured in Meter) - Limiting Length is the maximum length of a structural member before certain design considerations, such as buckling, vibration, and deflection, become critical.
Compressive Residual Stress in Flange - (Measured in Megapascal) - Compressive Residual Stress in Flange is the stress formed after plastic deformation, if the residue at a location has a value of -100 MPa, it is said to be compressive residual stress.

STEP 1: Convert Input(s) to Base Unit

Radius of Gyration about Minor Axis: 20 Millimeter --> 0.02 Meter (Check conversion here)
Beam Buckling Factor 1: 3005 --> No Conversion Required
Beam Buckling Factor 2: 64 --> No Conversion Required
Smaller Yield Stress: 110 Megapascal --> 110 Megapascal No Conversion Required
Limiting Length: 30235 Millimeter --> 30.235 Meter (Check conversion here)
Compressive Residual Stress in Flange: 80 Megapascal --> 80 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_yw = ((r_y*X₁*sqrt(1+sqrt(1+(X₂*F_l^2))))/L_lim)+F_r --> ((0.02*3005*sqrt(1+sqrt(1+(64*110^2))))/30.235)+80

Evaluating ... ...

F_yw = 139.000079021248

STEP 3: Convert Result to Output's Unit

139000079.021248 Pascal -->139.000079021248 Megapascal (Check conversion here)

FINAL ANSWER

139.000079021248 ≈ 139.0001 Megapascal <-- Specified Minimum Yield Stress

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Load and Resistance Factor Design for Buildings » Beams » Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length

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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

Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length Formula

LaTeX Go

What is Residual Stress?

The Residual Stresses are those stresses that remain in an object (in particular, in a welded component) even in the absence of external loading or thermal gradients. In some cases, residual stresses result in significant plastic deformation, leading to warping and distortion of an object.

How to Calculate Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length?

Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length calculator uses Specified Minimum Yield Stress = ((Radius of Gyration about Minor Axis*Beam Buckling Factor 1*sqrt(1+sqrt(1+(Beam Buckling Factor 2*Smaller Yield Stress^2))))/Limiting Length)+Compressive Residual Stress in Flange to calculate the Specified Minimum Yield Stress, The Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length formula is defined as the minimum stress on the web section which involves the relationship between various parameters like buckling factors, radius of gyration, limiting unbraced length and web and flange stresses. Specified Minimum Yield Stress is denoted by F_yw symbol.

How to calculate Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length using this online calculator? To use this online calculator for Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length, enter Radius of Gyration about Minor Axis (r_y), Beam Buckling Factor 1 (X₁), Beam Buckling Factor 2 (X₂), Smaller Yield Stress (F_l), Limiting Length (L_lim) & Compressive Residual Stress in Flange (F_r) and hit the calculate button. Here is how the Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length calculation can be explained with given input values -> 0.000139 = ((0.02*3005*sqrt(1+sqrt(1+(64*110000000^2))))/30.235)+80000000.

FAQ

What is Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length?

The Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length formula is defined as the minimum stress on the web section which involves the relationship between various parameters like buckling factors, radius of gyration, limiting unbraced length and web and flange stresses and is represented as F_yw = ((r_y*X₁*sqrt(1+sqrt(1+(X₂*F_l^2))))/L_lim)+F_r or Specified Minimum Yield Stress = ((Radius of Gyration about Minor Axis*Beam Buckling Factor 1*sqrt(1+sqrt(1+(Beam Buckling Factor 2*Smaller Yield Stress^2))))/Limiting Length)+Compressive Residual Stress in Flange. 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, Beam Buckling Factor 1 is the value which is considered as the factor of safety against buckling to currently applied loads, Beam Buckling Factor 2 is the value used as factor of safety against buckling by applied loads, Smaller Yield Stress is the yield stress value, which is smallest among, yield stress in web, flange or residual stress, Limiting Length is the maximum length of a structural member before certain design considerations, such as buckling, vibration, and deflection, become critical & Compressive Residual Stress in Flange is the stress formed after plastic deformation, if the residue at a location has a value of -100 MPa, it is said to be compressive residual stress.

How to calculate Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length?

The Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length formula is defined as the minimum stress on the web section which involves the relationship between various parameters like buckling factors, radius of gyration, limiting unbraced length and web and flange stresses is calculated using Specified Minimum Yield Stress = ((Radius of Gyration about Minor Axis*Beam Buckling Factor 1*sqrt(1+sqrt(1+(Beam Buckling Factor 2*Smaller Yield Stress^2))))/Limiting Length)+Compressive Residual Stress in Flange. To calculate Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length, you need Radius of Gyration about Minor Axis (r_y), Beam Buckling Factor 1 (X₁), Beam Buckling Factor 2 (X₂), Smaller Yield Stress (F_l), Limiting Length (L_lim) & Compressive Residual Stress in Flange (F_r). With our tool, you need to enter the respective value for Radius of Gyration about Minor Axis, Beam Buckling Factor 1, Beam Buckling Factor 2, Smaller Yield Stress, Limiting Length & Compressive Residual Stress in Flange 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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