Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners 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 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 Flange and Web [K]			+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 given Cross-Sectional Area of Column Web Stiffeners [F_yc]

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Formula

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Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners

Formula

`"F"_{"yc"} = ("P"_{"bf"}-("A"_{"cs"}*"F"_{"yst"}))/("t"_{"wc"}*("t"_{"f"}+5*"K"))`

Example

`"50MPa"=("5000kN"-("20m²"*"50MPa"))/("2mm"*("15mm"+5*"5mm"))`

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Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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).
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 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.
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.

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 Web Thickness: 2 Millimeter --> 2 Millimeter No Conversion Required
Flange Thickness: 15 Millimeter --> 15 Millimeter No Conversion Required
Distance Between Flange and Web: 5 Millimeter --> 5 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

F_yc = 50

STEP 3: Convert Result to Output's Unit

50000000 Pascal -->50 Megapascal (Check conversion here)

FINAL ANSWER

50 Megapascal <-- Column Yield Stress

(Calculation completed in 00.004 seconds)

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Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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The National Institute of Engineering (NIE), Mysuru

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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 Yield Stress given Cross-Sectional Area of Column Web Stiffeners Formula

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 Yield Stress given Cross-Sectional Area of Column Web Stiffeners?

Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners calculator uses Column Yield Stress = (Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web)) to calculate the Column Yield Stress, The Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners formula is defined as the amount of stress a column needs to experience to be permanently deformed. Column Yield Stress is denoted by F_yc symbol.

How to calculate Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners using this online calculator? To use this online calculator for Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners, enter Computed Force (P_bf), Cross Sectional Plate Area (A_cs), Stiffener Yield Stress (F_yst), Column Web Thickness (t_wc), Flange Thickness (t_f) & Distance Between Flange and Web (K) and hit the calculate button. Here is how the Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners calculation can be explained with given input values -> -12.4375 = (5000000-(20*50000000))/(0.002*(0.015+5*0.005)).

FAQ

What is Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners?

The Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners formula is defined as the amount of stress a column needs to experience to be permanently deformed and is represented as F_yc = (P_bf-(A_cs*F_yst))/(t_wc*(t_f+5*K)) or Column Yield Stress = (Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web)). 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 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 & 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.

How to calculate Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners?

The Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners formula is defined as the amount of stress a column needs to experience to be permanently deformed is calculated using Column Yield Stress = (Computed Force-(Cross Sectional Plate Area*Stiffener Yield Stress))/(Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web)). To calculate Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners, you need Computed Force (P_bf), Cross Sectional Plate Area (A_cs), Stiffener Yield Stress (F_yst), Column Web Thickness (t_wc), Flange Thickness (t_f) & Distance Between Flange and Web (K). With our tool, you need to enter the respective value for Computed Force, Cross Sectional Plate Area, Stiffener Yield Stress, Column Web Thickness, Flange Thickness & Distance Between Flange and Web 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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