Cross sectional area of Column Web Stiffeners Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross Sectional Plate Area = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Stiffener Yield Stress
Acs = (Pbf-Fyc*twc*(tf+5*K))/Fyst
This formula uses 7 Variables
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Computed Force: 5000 Kilonewton --> 5000 Kilonewton 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
Distance Between Flange and Web: 5 Millimeter --> 5 Millimeter No Conversion Required
Stiffener Yield Stress: 50 Megapascal --> 50 Megapascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Acs = (Pbf-Fyc*twc*(tf+5*K))/Fyst --> (5000-50*2*(15+5*5))/50
Evaluating ... ...
Acs = 20
STEP 3: Convert Result to Output's Unit
20 Square Meter --> No Conversion Required
FINAL ANSWER
20 Square Meter <-- Cross Sectional Plate Area
(Calculation completed in 00.004 seconds)

Credits

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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))
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

Cross sectional area of Column Web Stiffeners Formula

Cross Sectional Plate Area = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Stiffener Yield Stress
Acs = (Pbf-Fyc*twc*(tf+5*K))/Fyst

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 Cross sectional area of Column Web Stiffeners?

Cross sectional area of Column Web Stiffeners calculator uses Cross Sectional Plate Area = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Stiffener Yield Stress to calculate the Cross Sectional Plate Area, The Cross Sectional Area of Column Web Stiffeners formula is defined as the flanges or moment-connection plates for end connections of beams and girders are welded to the flange of an I- or H-shape column, a pair of column-web stiffeners having a combined cross-sectional area. Cross Sectional Plate Area is denoted by Acs symbol.

How to calculate Cross sectional area of Column Web Stiffeners using this online calculator? To use this online calculator for Cross sectional area of Column Web Stiffeners, enter Computed Force (Pbf), Column Yield Stress (Fyc), Column Web Thickness (twc), Flange Thickness (tf), Distance Between Flange and Web (K) & Stiffener Yield Stress (Fyst) and hit the calculate button. Here is how the Cross sectional area of Column Web Stiffeners calculation can be explained with given input values -> 20 = (5000000-50000000*0.002*(0.015+5*0.005))/50000000.

FAQ

What is Cross sectional area of Column Web Stiffeners?
The Cross Sectional Area of Column Web Stiffeners formula is defined as the flanges or moment-connection plates for end connections of beams and girders are welded to the flange of an I- or H-shape column, a pair of column-web stiffeners having a combined cross-sectional area and is represented as Acs = (Pbf-Fyc*twc*(tf+5*K))/Fyst or Cross Sectional Plate Area = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Stiffener Yield Stress. 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, 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 & Stiffener Yield Stress is the minimum stress at which a stiffener will undergo permanent deformation or plastic flow without a significant increase in load.
How to calculate Cross sectional area of Column Web Stiffeners?
The Cross Sectional Area of Column Web Stiffeners formula is defined as the flanges or moment-connection plates for end connections of beams and girders are welded to the flange of an I- or H-shape column, a pair of column-web stiffeners having a combined cross-sectional area is calculated using Cross Sectional Plate Area = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Stiffener Yield Stress. To calculate Cross sectional area of Column Web Stiffeners, you need Computed Force (Pbf), Column Yield Stress (Fyc), Column Web Thickness (twc), Flange Thickness (tf), Distance Between Flange and Web (K) & Stiffener Yield Stress (Fyst). With our tool, you need to enter the respective value for Computed Force, Column Yield Stress, Column Web Thickness, Flange Thickness, Distance Between Flange and Web & Stiffener Yield Stress 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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