Column-Web Depth Clear of Fillets Solution

STEP 0: Pre-Calculation Summary
Formula Used
Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force
dc = (4100*twc^3*sqrt(Fyc))/Pbf
This formula uses 1 Functions, 4 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
Web Depth - (Measured in Millimeter) - Web Depth is the distance between the starting and end of the web ignoring the fillets at both sides.
Column Web Thickness - (Measured in Millimeter) - Column Web Thickness is the smallest dimension measured perpendicular to height of column web.
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.
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).
STEP 1: Convert Input(s) to Base Unit
Column Web Thickness: 2 Millimeter --> 2 Millimeter No Conversion Required
Column Yield Stress: 50 Megapascal --> 50 Megapascal No Conversion Required
Computed Force: 5000 Kilonewton --> 5000 Kilonewton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dc = (4100*twc^3*sqrt(Fyc))/Pbf --> (4100*2^3*sqrt(50))/5000
Evaluating ... ...
dc = 46.3862048458375
STEP 3: Convert Result to Output's Unit
0.0463862048458375 Meter -->46.3862048458375 Millimeter (Check conversion ​here)
FINAL ANSWER
46.3862048458375 46.3862 Millimeter <-- Web Depth
(Calculation completed in 00.020 seconds)

Credits

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Created by Ayush Singh
Gautam Buddha University (GBU), Greater Noida
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Design of Stiffeners under Loads Calculators

Cross sectional area of Column Web Stiffeners
​ LaTeX ​ 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
​ LaTeX ​ Go Column Web Thickness = ((Web Depth*Computed Force)/(4100*sqrt(Column Yield Stress)))^(1/3)
Computed Force for Column-Web Depth of Fillets
​ LaTeX ​ Go Computed Force = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Web Depth
Column-Web Depth Clear of Fillets
​ LaTeX ​ Go Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force

Column-Web Depth Clear of Fillets Formula

​LaTeX ​Go
Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force
dc = (4100*twc^3*sqrt(Fyc))/Pbf

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 Column-Web Depth Clear of Fillets?

Column-Web Depth Clear of Fillets calculator uses Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force to calculate the Web Depth, The Column-Web Depth Clear of Fillets formula is defined as a stiffener or a pair of stiffeners that must be provided opposite the beam-compression flange for the column-web depth clear of fillets. Web Depth is denoted by dc symbol.

How to calculate Column-Web Depth Clear of Fillets using this online calculator? To use this online calculator for Column-Web Depth Clear of Fillets, enter Column Web Thickness (twc), Column Yield Stress (Fyc) & Computed Force (Pbf) and hit the calculate button. Here is how the Column-Web Depth Clear of Fillets calculation can be explained with given input values -> 46386.2 = (4100*0.002^3*sqrt(50000000))/5000000.

FAQ

What is Column-Web Depth Clear of Fillets?
The Column-Web Depth Clear of Fillets formula is defined as a stiffener or a pair of stiffeners that must be provided opposite the beam-compression flange for the column-web depth clear of fillets and is represented as dc = (4100*twc^3*sqrt(Fyc))/Pbf or Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force. Column Web Thickness is the smallest dimension measured perpendicular to height of column web, Column Yield Stress is the minimum stress at which a column will undergo permanent deformation or plastic flow without a significant increase in load & 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).
How to calculate Column-Web Depth Clear of Fillets?
The Column-Web Depth Clear of Fillets formula is defined as a stiffener or a pair of stiffeners that must be provided opposite the beam-compression flange for the column-web depth clear of fillets is calculated using Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force. To calculate Column-Web Depth Clear of Fillets, you need Column Web Thickness (twc), Column Yield Stress (Fyc) & Computed Force (Pbf). With our tool, you need to enter the respective value for Column Web Thickness, Column Yield Stress & Computed Force 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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