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 for Inelastic Buckling)+Compressive Residual Stress in Flange
Fyw = ((ry*X1*sqrt(1+sqrt(1+(X2*Fl^2))))/Lr)+Fr
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, say, 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 for Inelastic Buckling - (Measured in Meter) - Limiting Length for Inelastic Buckling is the distance between two end points for inelastic lateral buckling.
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 for Inelastic Buckling: 777.93 Millimeter --> 0.77793 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
Fyw = ((ry*X1*sqrt(1+sqrt(1+(X2*Fl^2))))/Lr)+Fr --> ((0.02*3005*sqrt(1+sqrt(1+(64*110^2))))/0.77793)+80
Evaluating ... ...
Fyw = 2373.09499467489
STEP 3: Convert Result to Output's Unit
2373094994.67489 Pascal -->2373.09499467489 Megapascal (Check conversion here)
FINAL ANSWER
2373.09499467489 2373.095 Megapascal <-- Specified Minimum Yield Stress
(Calculation completed in 00.004 seconds)

Credits

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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13 Beams Calculators

Critical Elastic Moment
Go Critical Elastic Moment = ((Moment Gradient Factor*pi)/Unbraced Length of Member)*sqrt(((Elastic Modulus of Steel*Y Axis Moment of Inertia*Shear Modulus in Steel Structures*Torsional constant)+(Y Axis Moment of Inertia*Warping Constant*((pi*Elastic Modulus of Steel)/(Unbraced Length of Member)^2))))
Limiting Laterally Unbraced Length for Inelastic Lateral Buckling
Go Limiting Length for Inelastic Buckling = ((Radius of gyration about minor axis*Beam Buckling Factor 1)/(Specified Minimum Yield Stress-Compressive Residual Stress in Flange))*sqrt(1+sqrt(1+(Beam Buckling Factor 2*Smaller Yield Stress^2)))
Specified Minimum Yield Stress for Web given Limiting Laterally Unbraced Length
Go 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 for Inelastic Buckling)+Compressive Residual Stress in Flange
Beam Buckling Factor 1
Go Beam Buckling Factor 1 = (pi/Section Modulus about Major Axis)*sqrt((Elastic Modulus of Steel*Shear Modulus in Steel Structures*Torsional constant*Cross Sectional Area in Steel Structures)/2)
Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams
Go 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
Critical Elastic Moment for Box Sections and Solid Bars
Go Critical Elastic Moment = (57000*Moment Gradient Factor*sqrt(Torsional constant*Cross Sectional Area in Steel Structures))/(Unbraced Length of Member/Radius of gyration about minor axis)
Beam Buckling Factor 2
Go Beam Buckling Factor 2 = ((4*Warping Constant)/Y Axis Moment of Inertia)*((Section Modulus about Major Axis)/(Shear Modulus in Steel Structures*Torsional constant))^2
Limiting Laterally Unbraced Length for Full Plastic Bending Capacity for Solid Bar and Box Beams
Go Limiting Laterally Unbraced Length = (3750*(Radius of gyration about minor axis/Plastic Moment))/(sqrt(Torsional constant*Cross Sectional Area in Steel Structures))
Maximum Laterally Unbraced Length for Plastic Analysis
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
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
Go Limiting Laterally Unbraced Length = (300*Radius of gyration about minor axis)/sqrt(Flange Yield Stress)
Limiting Buckling Moment
Go Limiting buckling moment = Smaller Yield Stress*Section Modulus about Major Axis
Plastic Moment
Go Plastic Moment = Specified Minimum Yield Stress*Plastic modulus

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

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 for Inelastic Buckling)+Compressive Residual Stress in Flange
Fyw = ((ry*X1*sqrt(1+sqrt(1+(X2*Fl^2))))/Lr)+Fr

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 for Inelastic Buckling)+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 Fyw 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 (ry), Beam Buckling Factor 1 (X1), Beam Buckling Factor 2 (X2), Smaller Yield Stress (Fl), Limiting Length for Inelastic Buckling (Lr) & Compressive Residual Stress in Flange (Fr) 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 -> 0.000189 = ((0.02*3005*sqrt(1+sqrt(1+(64*110000000^2))))/0.77793)+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 Fyw = ((ry*X1*sqrt(1+sqrt(1+(X2*Fl^2))))/Lr)+Fr 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 for Inelastic Buckling)+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 for Inelastic Buckling is the distance between two end points for inelastic lateral buckling & 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 for Inelastic Buckling)+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 (ry), Beam Buckling Factor 1 (X1), Beam Buckling Factor 2 (X2), Smaller Yield Stress (Fl), Limiting Length for Inelastic Buckling (Lr) & Compressive Residual Stress in Flange (Fr). 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 for Inelastic Buckling & 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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