Computed Force for Column-Web Depth 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%
✖Web Depth is the distance between the starting and end of the web ignoring the fillets at both sides.ⓘ Web Depth [d_c]			+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 for Column-Web Depth of Fillets [P_bf]

⎘ Copy

👎

Formula

✖

Computed Force for Column-Web Depth of Fillets

Formula

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

Example

`"5041.979kN"=(4100*("2mm")^3*sqrt("50MPa"))/"46mm"`

Calculator

LaTeX

Reset

👍

Download Design of Stiffeners under Loads Formulas PDF PDF Image

Computed Force for Column-Web Depth of Fillets Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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 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.
Web Depth - (Measured in Millimeter) - Web Depth is the distance between the starting and end of the web ignoring the fillets at both sides.

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
Web Depth: 46 Millimeter --> 46 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_bf = (4100*t_wc^3*sqrt(F_yc))/d_c --> (4100*2^3*sqrt(50))/46

Evaluating ... ...

P_bf = 5041.97878759104

STEP 3: Convert Result to Output's Unit

5041978.78759104 Newton -->5041.97878759104 Kilonewton (Check conversion here)

FINAL ANSWER

5041.97878759104 ≈ 5041.979 Kilonewton <-- Computed Force

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Design of Steel Structures » Design of Stiffeners under Loads » Computed Force for Column-Web Depth of Fillets

Credits

Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has created this Calculator and 50+ more calculators!

Verified by Rachana B V

The National Institute of Engineering (NIE), Mysuru

Rachana B V has verified this Calculator and 50+ more calculators!

< 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

Computed Force for Column-Web Depth of Fillets Formula

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

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 Computed Force for Column-Web Depth of Fillets?

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

How to calculate Computed Force for Column-Web Depth of Fillets using this online calculator? To use this online calculator for Computed Force for Column-Web Depth of Fillets, enter Column Web Thickness (t_wc), Column Yield Stress (F_yc) & Web Depth (d_c) and hit the calculate button. Here is how the Computed Force for Column-Web Depth of Fillets calculation can be explained with given input values -> 3.3133 = (4100*0.002^3*sqrt(50000000))/0.046.

FAQ

What is Computed Force for Column-Web Depth of Fillets?

The Computed Force for Column-Web Depth of Fillets formula is defined as the computed force required for 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 P_bf = (4100*t_wc^3*sqrt(F_yc))/d_c or Computed Force = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Web Depth. 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 & Web Depth is the distance between the starting and end of the web ignoring the fillets at both sides.

How to calculate Computed Force for Column-Web Depth of Fillets?

The Computed Force for Column-Web Depth of Fillets formula is defined as the computed force required for 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 Computed Force = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Web Depth. To calculate Computed Force for Column-Web Depth of Fillets, you need Column Web Thickness (t_wc), Column Yield Stress (F_yc) & Web Depth (d_c). With our tool, you need to enter the respective value for Column Web Thickness, Column Yield Stress & Web Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Computed Force?

In this formula, Computed Force uses Column Web Thickness, Column Yield Stress & Web Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search