Column-Web Depth Clear of Fillets Calculator

✖Column Web Thickness is the smallest dimension measured perpendicular to height of column web.ⓘ Column Web Thickness [t_wc]			+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%
✖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%

✖Web Depth is the distance between the starting and end of the web ignoring the fillets at both sides.ⓘ Column-Web Depth Clear of Fillets [d_c]

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Formula

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Column-Web Depth Clear of Fillets

Formula

`"d"_{"c"} = (4100*"t"_{"wc"}^3*sqrt("F"_{"yc"}))/"P"_{"bf"}`

Example

`"46.3862mm"=(4100*("2mm")^3*sqrt("50MPa"))/"5000kN"`

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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
d_c = (4100*t_wc^3*sqrt(F_yc))/P_bf
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

d_c = (4100*t_wc^3*sqrt(F_yc))/P_bf --> (4100*2^3*sqrt(50))/5000

Evaluating ... ...

d_c = 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 00.004 seconds)

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Gautam Buddha University (GBU), Greater Noida

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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

Column-Web Depth Clear of Fillets Formula

Web Depth = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Computed Force
d_c = (4100*t_wc^3*sqrt(F_yc))/P_bf

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 d_c 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 (t_wc), Column Yield Stress (F_yc) & Computed Force (P_bf) 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 d_c = (4100*t_wc^3*sqrt(F_yc))/P_bf 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 (t_wc), Column Yield Stress (F_yc) & Computed Force (P_bf). 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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