Thickness of Column Flange Calculator

✖Computed Force delivered by the flange of a moment connection plate multiplied by 5/3 (dead and live loads only) and 4/3 (live and dead loads in conjunction with wind & earthquake forces).ⓘ Computed Force [P_bf]			+10% -10%
✖Column Yield Stress is the minimum stress at which a column will undergo permanent deformation or plastic flow without a significant increase in load.ⓘ Column Yield Stress [F_yc]			+10% -10%

✖The Flange Thickness is the thickness of a flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.ⓘ Thickness of Column Flange [t_f]

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Formula

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Thickness of Column Flange

Formula

`"t"_{"f"} = 0.4*sqrt("P"_{"bf"}/"F"_{"yc"})`

Example

`"4mm"=0.4*sqrt("5000kN"/"50MPa")`

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Download Design of Stiffeners under Loads Formulas PDF

Thickness of Column Flange Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flange Thickness = 0.4*sqrt(Computed Force/Column Yield Stress)
t_f = 0.4*sqrt(P_bf/F_yc)
This formula uses 1 Functions, 3 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

Flange Thickness - (Measured in Millimeter) - The Flange Thickness is the thickness of a flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.
Computed Force - (Measured in Kilonewton) - Computed Force delivered by the flange of a moment connection plate multiplied by 5/3 (dead and live loads only) and 4/3 (live and dead loads in conjunction with wind & earthquake forces).
Column Yield Stress - (Measured in Megapascal) - Column Yield Stress is the minimum stress at which a column will undergo permanent deformation or plastic flow without a significant increase in load.

STEP 1: Convert Input(s) to Base Unit

Computed Force: 5000 Kilonewton --> 5000 Kilonewton No Conversion Required
Column Yield Stress: 50 Megapascal --> 50 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_f = 0.4*sqrt(P_bf/F_yc) --> 0.4*sqrt(5000/50)

Evaluating ... ...

t_f = 4

STEP 3: Convert Result to Output's Unit

0.004 Meter -->4 Millimeter (Check conversion here)

FINAL ANSWER

4 Millimeter <-- Flange Thickness

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Birsa Institute of Technology (BIT), Sindri

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< 12 Design of Stiffeners under Loads Calculators

Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area

Go Distance Between Flange and Web = (((Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*Column Web Thickness))-Flange Thickness)/5

Thickness of Column Web given Cross-Sectional Area of Column Web Stiffeners

Go Column Web Thickness = (Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*(Flange Thickness+5*Distance Between Flange and Web))

Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners

Go Column Yield Stress = (Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))

Computed Load given Cross-Sectional Area of Column Web Stiffeners

Go Computed Force = (Cross Sectional Plate Area*Stiffener Yield Stress)+(Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))

Stiffener Yield Stress given Cross Sectional Area of Column Web Stiffeners

Go Stiffener Yield Stress = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Cross Sectional Plate Area

Cross sectional area of Column Web Stiffeners

Go Cross Sectional Plate Area = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Stiffener Yield Stress

Thickness of Column Web given Column Web Depth Clear of Fillets

Go Column Web Thickness = ((Web Depth*Computed Force)/(4100*sqrt(Column Yield Stress)))^(1/3)

Computed Force for Column-Web Depth of Fillets

Go Computed Force = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Web Depth

Column-Web Depth Clear of Fillets

Go Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force

Thickness of Column Flange

Go Flange Thickness = 0.4*sqrt(Computed Force/Column Yield Stress)

Tensile Strength of Connected Part using Allowable Bearing Stress

Go Tensile Strength MPA = Allowable Bearing Stress/1.2

Allowable Bearing Stress on Projected Area of Fasteners

Go Allowable Bearing Stress = 1.2*Tensile Strength MPA

Thickness of Column Flange Formula

Flange Thickness = 0.4*sqrt(Computed Force/Column Yield Stress)
t_f = 0.4*sqrt(P_bf/F_yc)

What is Computed Force?

The Computed Force is defined as the force delivered by a flange of the moment connection plate when the stiffeners are under load.

What is Allowable Bearing Stress?

The Allowable Bearing Stress is defined as the maximum load that the footing can support without failure with appropriate factors of safety.

How to Calculate Thickness of Column Flange?

Thickness of Column Flange calculator uses Flange Thickness = 0.4*sqrt(Computed Force/Column Yield Stress) to calculate the Flange Thickness, The Thickness of Column Flange formula is defined as measurement of thickness of flange in column provided opposite the tension flange. Flange Thickness is denoted by t_f symbol.

How to calculate Thickness of Column Flange using this online calculator? To use this online calculator for Thickness of Column Flange, enter Computed Force (P_bf) & Column Yield Stress (F_yc) and hit the calculate button. Here is how the Thickness of Column Flange calculation can be explained with given input values -> 3274.141 = 0.4*sqrt(5000000/50000000).

FAQ

What is Thickness of Column Flange?

The Thickness of Column Flange formula is defined as measurement of thickness of flange in column provided opposite the tension flange and is represented as t_f = 0.4*sqrt(P_bf/F_yc) or Flange Thickness = 0.4*sqrt(Computed Force/Column Yield Stress). Computed Force delivered by the flange of a moment connection plate multiplied by 5/3 (dead and live loads only) and 4/3 (live and dead loads in conjunction with wind & earthquake forces) & Column Yield Stress is the minimum stress at which a column will undergo permanent deformation or plastic flow without a significant increase in load.

How to calculate Thickness of Column Flange?

The Thickness of Column Flange formula is defined as measurement of thickness of flange in column provided opposite the tension flange is calculated using Flange Thickness = 0.4*sqrt(Computed Force/Column Yield Stress). To calculate Thickness of Column Flange, you need Computed Force (P_bf) & Column Yield Stress (F_yc). With our tool, you need to enter the respective value for Computed Force & Column Yield Stress 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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