Thickness of Column Web given Column Web Depth Clear of Fillets Solution

STEP 0: Pre-Calculation Summary
Formula Used
Column Web Thickness = ((Web Depth*Computed Force)/(4100*sqrt(Column Yield Stress)))^(1/3)
twc = ((dc*Pbf)/(4100*sqrt(Fyc)))^(1/3)
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
Column Web Thickness - (Measured in Millimeter) - Column Web Thickness is the smallest dimension measured perpendicular to height of column web.
Web Depth - (Measured in Millimeter) - Web Depth is the distance between the starting and end of the web ignoring the fillets at both sides.
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
Web Depth: 46 Millimeter --> 46 Millimeter No Conversion Required
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
twc = ((dc*Pbf)/(4100*sqrt(Fyc)))^(1/3) --> ((46*5000)/(4100*sqrt(50)))^(1/3)
Evaluating ... ...
twc = 1.99443395349791
STEP 3: Convert Result to Output's Unit
0.00199443395349791 Meter -->1.99443395349791 Millimeter (Check conversion here)
FINAL ANSWER
1.99443395349791 1.994434 Millimeter <-- Column Web Thickness
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has verified this Calculator and 600+ 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))
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
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))
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 Web given Column Web Depth Clear of Fillets Formula

Column Web Thickness = ((Web Depth*Computed Force)/(4100*sqrt(Column Yield Stress)))^(1/3)
twc = ((dc*Pbf)/(4100*sqrt(Fyc)))^(1/3)

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 Web given Column Web Depth Clear of Fillets?

Thickness of Column Web given Column Web Depth Clear of Fillets calculator uses Column Web Thickness = ((Web Depth*Computed Force)/(4100*sqrt(Column Yield Stress)))^(1/3) to calculate the Column Web Thickness, The Thickness of Column Web given Column Web Depth Clear of Fillets formula is defined as the measurement of thickness of web in column. Column Web Thickness is denoted by twc symbol.

How to calculate Thickness of Column Web given Column Web Depth Clear of Fillets using this online calculator? To use this online calculator for Thickness of Column Web given Column Web Depth Clear of Fillets, enter Web Depth (dc), Computed Force (Pbf) & Column Yield Stress (Fyc) and hit the calculate button. Here is how the Thickness of Column Web given Column Web Depth Clear of Fillets calculation can be explained with given input values -> 2294.033 = ((0.046*5000000)/(4100*sqrt(50000000)))^(1/3).

FAQ

What is Thickness of Column Web given Column Web Depth Clear of Fillets?
The Thickness of Column Web given Column Web Depth Clear of Fillets formula is defined as the measurement of thickness of web in column and is represented as twc = ((dc*Pbf)/(4100*sqrt(Fyc)))^(1/3) or Column Web Thickness = ((Web Depth*Computed Force)/(4100*sqrt(Column Yield Stress)))^(1/3). Web Depth is the distance between the starting and end of the web ignoring the fillets at both sides, 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 Web given Column Web Depth Clear of Fillets?
The Thickness of Column Web given Column Web Depth Clear of Fillets formula is defined as the measurement of thickness of web in column is calculated using Column Web Thickness = ((Web Depth*Computed Force)/(4100*sqrt(Column Yield Stress)))^(1/3). To calculate Thickness of Column Web given Column Web Depth Clear of Fillets, you need Web Depth (dc), Computed Force (Pbf) & Column Yield Stress (Fyc). With our tool, you need to enter the respective value for Web Depth, 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.
How many ways are there to calculate Column Web Thickness?
In this formula, Column Web Thickness uses Web Depth, Computed Force & Column Yield Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Column Web Thickness = (Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*(Flange Thickness+5*Distance Between Flange and Web))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!