Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area 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%
✖Cross Sectional Plate Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Plate Area [A_cs]			+10% -10%
✖Stiffener Yield Stress is the minimum stress at which a stiffener will undergo permanent deformation or plastic flow without a significant increase in load.ⓘ Stiffener Yield Stress [F_yst]			+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%
✖Column Web Thickness is the smallest dimension measured perpendicular to height of column web.ⓘ Column Web Thickness [t_wc]			+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.ⓘ Flange Thickness [t_f]			+10% -10%

✖Distance Between Flange and Web is the measured distance from the outer face of the flange to the web toe of its fillet if the section is in rolled shape.ⓘ Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area [K]

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

STEP 0: Pre-Calculation Summary

Formula Used

Distance Between Flange and Web = (((Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*Column Web Thickness))-Flange Thickness)/5
K = (((P_bf-(A_cs*F_yst))/(F_yc*t_wc))-t_f)/5
This formula uses 7 Variables

Variables Used

Distance Between Flange and Web - (Measured in Millimeter) - Distance Between Flange and Web is the measured distance from the outer face of the flange to the web toe of its fillet if the section is in rolled shape.
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).
Cross Sectional Plate Area - (Measured in Square Meter) - Cross Sectional Plate Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Stiffener Yield Stress - (Measured in Megapascal) - Stiffener Yield Stress is the minimum stress at which a stiffener will undergo permanent deformation or plastic flow without a significant increase in load.
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.
Column Web Thickness - (Measured in Millimeter) - Column Web Thickness is the smallest dimension measured perpendicular to height of column web.
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.

STEP 1: Convert Input(s) to Base Unit

Computed Force: 5000 Kilonewton --> 5000 Kilonewton No Conversion Required
Cross Sectional Plate Area: 20 Square Meter --> 20 Square Meter No Conversion Required
Stiffener Yield Stress: 50 Megapascal --> 50 Megapascal No Conversion Required
Column Yield Stress: 50 Megapascal --> 50 Megapascal No Conversion Required
Column Web Thickness: 2 Millimeter --> 2 Millimeter No Conversion Required
Flange Thickness: 15 Millimeter --> 15 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (((P_bf-(A_cs*F_yst))/(F_yc*t_wc))-t_f)/5 --> (((5000-(20*50))/(50*2))-15)/5

Evaluating ... ...

K = 5

STEP 3: Convert Result to Output's Unit

0.005 Meter -->5 Millimeter (Check conversion here)

FINAL ANSWER

5 Millimeter <-- Distance Between Flange and Web

(Calculation completed in 00.021 seconds)

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National Institute of Technology (NIT), Warangal

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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

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

LaTeX Go

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

Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area calculator uses Distance Between Flange and Web = (((Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*Column Web Thickness))-Flange Thickness)/5 to calculate the Distance Between Flange and Web, The Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area formula is defined as the distance between the outer face of the column flange and the web toe of its fillet. Distance Between Flange and Web is denoted by K symbol.

How to calculate Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area using this online calculator? To use this online calculator for Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area, enter Computed Force (P_bf), Cross Sectional Plate Area (A_cs), Stiffener Yield Stress (F_yst), Column Yield Stress (F_yc), Column Web Thickness (t_wc) & Flange Thickness (t_f) and hit the calculate button. Here is how the Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area calculation can be explained with given input values -> 5700 = (((5000000-(20*50000000))/(50000000*0.002))-0.015)/5.

FAQ

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

The Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area formula is defined as the distance between the outer face of the column flange and the web toe of its fillet and is represented as K = (((P_bf-(A_cs*F_yst))/(F_yc*t_wc))-t_f)/5 or Distance Between Flange and Web = (((Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*Column Web Thickness))-Flange Thickness)/5. 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), Cross Sectional Plate Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Stiffener Yield Stress is the minimum stress at which a stiffener will undergo permanent deformation or plastic flow without a significant increase in load, 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 Web Thickness is the smallest dimension measured perpendicular to height of column web & 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.

How to calculate Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area?

The Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area formula is defined as the distance between the outer face of the column flange and the web toe of its fillet is calculated using Distance Between Flange and Web = (((Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Yield Stress*Column Web Thickness))-Flange Thickness)/5. To calculate Distance between Outer Face of Column Flange and Web Toe given Cross-Sectional Area, you need Computed Force (P_bf), Cross Sectional Plate Area (A_cs), Stiffener Yield Stress (F_yst), Column Yield Stress (F_yc), Column Web Thickness (t_wc) & Flange Thickness (t_f). With our tool, you need to enter the respective value for Computed Force, Cross Sectional Plate Area, Stiffener Yield Stress, Column Yield Stress, Column Web Thickness & Flange Thickness 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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