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

STEP 0: Pre-Calculation Summary
Formula Used
Stiffener Yield Stress = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Cross Sectional Plate Area
Fyst = (Pbf-Fyc*twc*(tf+5*K))/Acs
This formula uses 7 Variables
Variables Used
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.
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.
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.
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
Cross Sectional Plate Area: 20 Square Meter --> 20 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fyst = (Pbf-Fyc*twc*(tf+5*K))/Acs --> (5000-50*2*(15+5*5))/20
Evaluating ... ...
Fyst = 50
STEP 3: Convert Result to Output's Unit
50000000 Pascal -->50 Megapascal (Check conversion here)
FINAL ANSWER
50 Megapascal <-- Stiffener Yield Stress
(Calculation completed in 00.020 seconds)

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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

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

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

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

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

How to calculate Stiffener Yield Stress given Cross Sectional Area of Column Web Stiffeners using this online calculator? To use this online calculator for Stiffener Yield Stress given 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) & Cross Sectional Plate Area (Acs) and hit the calculate button. Here is how the Stiffener Yield Stress given Cross Sectional Area of Column Web Stiffeners calculation can be explained with given input values -> 7.7E-5 = (5000000-50000000*0.002*(0.015+5*0.005))/20.

FAQ

What is Stiffener Yield Stress given Cross Sectional Area of Column Web Stiffeners?
The Stiffener Yield Stress given Cross Sectional Area of Column Web Stiffeners formula is defined as the amount of stress that an object needs to experience for it to be permanently deformed and is represented as Fyst = (Pbf-Fyc*twc*(tf+5*K))/Acs or Stiffener Yield Stress = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Cross Sectional Plate Area. 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 & 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.
How to calculate Stiffener Yield Stress given Cross Sectional Area of Column Web Stiffeners?
The Stiffener Yield Stress given Cross Sectional Area of Column Web Stiffeners formula is defined as the amount of stress that an object needs to experience for it to be permanently deformed is calculated using Stiffener Yield Stress = (Computed Force-Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))/Cross Sectional Plate Area. To calculate Stiffener Yield Stress given 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) & Cross Sectional Plate Area (Acs). 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 & Cross Sectional Plate Area 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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