Slenderness of Web and Flange given Stiffeners and Concentrated Load Calculator

✖Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.ⓘ Concentrated Load of Reaction [R]			+10% -10%
✖Clear Distance between Flanges refers to the distance between the two endpoints of the flange. That is the height of the web including fillets.ⓘ Clear Distance between Flanges [h]			+10% -10%
✖Web Thickness is the thickness of the web section in the member of I section.ⓘ Web Thickness [t_w]			+10% -10%

✖Slenderness of Web and Flange of a structural element is a measure of its susceptibility to buckling under compressive stress.ⓘ Slenderness of Web and Flange given Stiffeners and Concentrated Load [r_wf]

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Formula

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Slenderness of Web and Flange given Stiffeners and Concentrated Load

Formula

`"r"_{"wf"} = (((("R"*"h")/(6800*"t"_{"w"}^3))-1)/0.4)^(1/3)`

Example

`"2.003364"=(((("235kN"*"122mm")/(6800*("100mm")^3))-1)/0.4)^(1/3)`

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Slenderness of Web and Flange given Stiffeners and Concentrated Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slenderness of Web and Flange = ((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3)
r_wf = ((((R*h)/(6800*t_w^3))-1)/0.4)^(1/3)
This formula uses 4 Variables

Variables Used

Slenderness of Web and Flange - Slenderness of Web and Flange of a structural element is a measure of its susceptibility to buckling under compressive stress.
Concentrated Load of Reaction - (Measured in Kilonewton) - Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.
Clear Distance between Flanges - (Measured in Meter) - Clear Distance between Flanges refers to the distance between the two endpoints of the flange. That is the height of the web including fillets.
Web Thickness - (Measured in Meter) - Web Thickness is the thickness of the web section in the member of I section.

STEP 1: Convert Input(s) to Base Unit

Concentrated Load of Reaction: 235 Kilonewton --> 235 Kilonewton No Conversion Required
Clear Distance between Flanges: 122 Millimeter --> 0.122 Meter (Check conversion here)
Web Thickness: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_wf = ((((R*h)/(6800*t_w^3))-1)/0.4)^(1/3) --> ((((235*0.122)/(6800*0.1^3))-1)/0.4)^(1/3)

Evaluating ... ...

r_wf = 2.00336443515364

STEP 3: Convert Result to Output's Unit

2.00336443515364 --> No Conversion Required

FINAL ANSWER

2.00336443515364 ≈ 2.003364 <-- Slenderness of Web and Flange

(Calculation completed in 00.004 seconds)

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< 16 Webs under Concentrated Loads Calculators

Reaction of Concentrated Load applied at least Half of Depth of Beam

Go Concentrated Load of Reaction = 67.5*Web Thickness^2*(1+3*(Bearing or Plate Length/Depth of Section)*(Web Thickness/Flange Thickness)^1.5)*sqrt(Yield Stress of Steel/(Web Thickness/Flange Thickness))

Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth

Go Concentrated Load of Reaction = 34*Web Thickness^2*(1+3*(Bearing or Plate Length/Depth of Section)*(Web Thickness/Flange Thickness)^1.5)*sqrt(Yield Stress of Steel/(Web Thickness/Flange Thickness))

Beam Depth for given Column Load

Go Depth of Section = (Bearing or Plate Length*(3*(Web Thickness/Flange Thickness)^1.5))/((Concentrated Load of Reaction/((67.5*Web Thickness^(3/2))*sqrt(Yield Stress of Steel*Flange Thickness))-1))

Length of Bearing for Applied Load at least Half of Depth of Beam

Go Bearing or Plate Length = (Concentrated Load of Reaction/((67.5*Web Thickness^(3/2))*sqrt(Yield Stress of Steel*Flange Thickness))-1)*Depth of Section/(3*(Web Thickness/Flange Thickness)^1.5)

Length of Bearing if Column Load is at Distance of Half Beam Depth

Go Bearing or Plate Length = (Concentrated Load of Reaction/((34*Web Thickness^(3/2))*sqrt(Yield Stress of Steel*Flange Thickness))-1)*Depth of Section/(3*(Web Thickness/Flange Thickness)^1.5)

Stress when Concentrated Load is Applied Close to Beam End

Go Compressive Stress = Concentrated Load of Reaction/(Web Thickness*(Bearing or Plate Length+2.5*Distance from Flange to Web Fillet))

Web Thickness for given Stress Due to Load near Beam End

Go Web Thickness = Concentrated Load of Reaction/(Compressive Stress*(Bearing or Plate Length+2.5*Distance from Flange to Web Fillet))

Stress for Concentrated Load Applied at Distance Larger than Depth of Beam

Go Compressive Stress = Concentrated Load of Reaction/(Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet))

Length of Bearing when Load applied at Distance Larger than Depth of Beam

Go Bearing or Plate Length = (Concentrated Load of Reaction/(Compressive Stress*Web Thickness))-5*Distance from Flange to Web Fillet

Web Thickness for Given Stress

Go Web Thickness = Concentrated Load of Reaction/(Compressive Stress*(Bearing or Plate Length+5*Distance from Flange to Web Fillet))

Reaction of Concentrated Load given Allowable Compressive Stress

Go Concentrated Load of Reaction = Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet)

Relative Slenderness of Web and Flange

Go Slenderness of Web and Flange = (Web Depth/Web Thickness)/(Maximum Unbraced Length/Width of Compression Flange)

Slenderness of Web and Flange given Stiffeners and Concentrated Load

Go Slenderness of Web and Flange = ((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3)

Required Stiffeners if Concentrated Load exceeds Load of Reaction R

Go Concentrated Load of Reaction = ((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3))

Clear Distance from Flanges for Concentrated Load with Stiffeners

Go Clear Distance between Flanges = ((6800*Web Thickness^3)/Concentrated Load of Reaction)*(1+(0.4*Slenderness of Web and Flange^3))

Web Depth Clear of fillets

Go Web Depth = Depth of Section-2*Distance from Flange to Web Fillet

Slenderness of Web and Flange given Stiffeners and Concentrated Load Formula

Slenderness of Web and Flange = ((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3)
r_wf = ((((R*h)/(6800*t_w^3))-1)/0.4)^(1/3)

What are Flange and Web Slenderness?

The Web slenderness and flange slenderness varied from a fairly compact range to highly slender values. The optimized values for flange and web slenderness were determined for each unbraced length ratio and a relationship between unbraced length and optimum flange slenderness values was established.

What is Web Crippling?

Web Crippling is similar to web buckling, but it happens in the web of the beam when it's subjected to compressive stress. The reaction at support developed due to high concentrated point load on the beam leads to the development of high compressive stresses in the thin web close to the upper flange or lower flange. As a result of this, the thin web may develop a fold at a place close to the flange and this is called web crippling.

How to Calculate Slenderness of Web and Flange given Stiffeners and Concentrated Load?

Slenderness of Web and Flange given Stiffeners and Concentrated Load calculator uses Slenderness of Web and Flange = ((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3) to calculate the Slenderness of Web and Flange, The Slenderness of Web and Flange given Stiffeners and Concentrated Load formula is defined as the slenderness ratios of web and flange, web thickness, column load and clear distance between flanges used for finding slenderness. Slenderness of Web and Flange is denoted by r_wf symbol.

How to calculate Slenderness of Web and Flange given Stiffeners and Concentrated Load using this online calculator? To use this online calculator for Slenderness of Web and Flange given Stiffeners and Concentrated Load, enter Concentrated Load of Reaction (R), Clear Distance between Flanges (h) & Web Thickness (t_w) and hit the calculate button. Here is how the Slenderness of Web and Flange given Stiffeners and Concentrated Load calculation can be explained with given input values -> 21.92394 = ((((235000*0.122)/(6800*0.1^3))-1)/0.4)^(1/3).

FAQ

What is Slenderness of Web and Flange given Stiffeners and Concentrated Load?

The Slenderness of Web and Flange given Stiffeners and Concentrated Load formula is defined as the slenderness ratios of web and flange, web thickness, column load and clear distance between flanges used for finding slenderness and is represented as r_wf = ((((R*h)/(6800*t_w^3))-1)/0.4)^(1/3) or Slenderness of Web and Flange = ((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3). Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure, Clear Distance between Flanges refers to the distance between the two endpoints of the flange. That is the height of the web including fillets & Web Thickness is the thickness of the web section in the member of I section.

How to calculate Slenderness of Web and Flange given Stiffeners and Concentrated Load?

The Slenderness of Web and Flange given Stiffeners and Concentrated Load formula is defined as the slenderness ratios of web and flange, web thickness, column load and clear distance between flanges used for finding slenderness is calculated using Slenderness of Web and Flange = ((((Concentrated Load of Reaction*Clear Distance between Flanges)/(6800*Web Thickness^3))-1)/0.4)^(1/3). To calculate Slenderness of Web and Flange given Stiffeners and Concentrated Load, you need Concentrated Load of Reaction (R), Clear Distance between Flanges (h) & Web Thickness (t_w). With our tool, you need to enter the respective value for Concentrated Load of Reaction, Clear Distance between Flanges & Web Thickness 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 Slenderness of Web and Flange?

In this formula, Slenderness of Web and Flange uses Concentrated Load of Reaction, Clear Distance between Flanges & Web Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -

Slenderness of Web and Flange = (Web Depth/Web Thickness)/(Maximum Unbraced Length/Width of Compression Flange)

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