Computed Load given Cross-Sectional Area of Column Web Stiffeners Solution

STEP 0: Pre-Calculation Summary
Formula Used
Computed Force = (Cross Sectional Plate Area*Stiffener Yield Stress)+(Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web))
Pbf = (Acs*Fyst)+(Fyc*twc*(tf+5*K))
This formula uses 7 Variables
Variables Used
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.
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
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
Distance Between Flange and Web: 5 Millimeter --> 5 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pbf = (Acs*Fyst)+(Fyc*twc*(tf+5*K)) --> (20*50)+(50*2*(15+5*5))
Evaluating ... ...
Pbf = 5000
STEP 3: Convert Result to Output's Unit
5000000 Newton -->5000 Kilonewton (Check conversion ​here)
FINAL ANSWER
5000 Kilonewton <-- Computed Force
(Calculation completed in 00.004 seconds)

Credits

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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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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

Computed Load given Cross-Sectional Area of Column Web Stiffeners Formula

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

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 Computed Load given Cross-Sectional Area of Column Web Stiffeners?

Computed Load given Cross-Sectional Area of Column Web Stiffeners calculator uses Computed Force = (Cross Sectional Plate Area*Stiffener Yield Stress)+(Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web)) to calculate the Computed Force, The Computed Load given Cross-Sectional Area of Column Web Stiffeners formula is defined as the computed load which it can carry 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. Computed Force is denoted by Pbf symbol.

How to calculate Computed Load given Cross-Sectional Area of Column Web Stiffeners using this online calculator? To use this online calculator for Computed Load given Cross-Sectional Area of Column Web Stiffeners, enter Cross Sectional Plate Area (Acs), Stiffener Yield Stress (Fyst), Column Yield Stress (Fyc), Column Web Thickness (twc), Flange Thickness (tf) & Distance Between Flange and Web (K) and hit the calculate button. Here is how the Computed Load given Cross-Sectional Area of Column Web Stiffeners calculation can be explained with given input values -> 1000.004 = (20*50000000)+(50000000*0.002*(0.015+5*0.005)).

FAQ

What is Computed Load given Cross-Sectional Area of Column Web Stiffeners?
The Computed Load given Cross-Sectional Area of Column Web Stiffeners formula is defined as the computed load which it can carry 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 Pbf = (Acs*Fyst)+(Fyc*twc*(tf+5*K)) or 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 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 & 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 Computed Load given Cross-Sectional Area of Column Web Stiffeners?
The Computed Load given Cross-Sectional Area of Column Web Stiffeners formula is defined as the computed load which it can carry 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 Computed Force = (Cross Sectional Plate Area*Stiffener Yield Stress)+(Column Yield Stress*Column Web Thickness*(Flange Thickness+5*Distance Between Flange and Web)). To calculate Computed Load given Cross-Sectional Area of Column Web Stiffeners, you need Cross Sectional Plate Area (Acs), Stiffener Yield Stress (Fyst), Column Yield Stress (Fyc), Column Web Thickness (twc), Flange Thickness (tf) & Distance Between Flange and Web (K). With our tool, you need to enter the respective value for Cross Sectional Plate Area, Stiffener Yield Stress, Column 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.
How many ways are there to calculate Computed Force?
In this formula, Computed Force uses Cross Sectional Plate Area, Stiffener Yield Stress, Column Yield Stress, Column Web Thickness, Flange Thickness & Distance Between Flange and Web. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Computed Force = (4100*Column Web Thickness^3*sqrt(Column Yield Stress))/Web Depth
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