Required Stiffeners if Concentrated Load exceeds Load of Reaction R Calculator

✖Web Thickness is the thickness of the web section in the member of I section.ⓘ Web Thickness [t_w]			+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%
✖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 [r_wf]			+10% -10%

✖Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.ⓘ Required Stiffeners if Concentrated Load exceeds Load of Reaction R [R]

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Formula

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Required Stiffeners if Concentrated Load exceeds Load of Reaction R

Formula

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

Example

`"234.0984kN"=((6800*("100mm")^3)/"122mm")*(1+(0.4*("2")^3))`

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Required Stiffeners if Concentrated Load exceeds Load of Reaction R Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Web Thickness - (Measured in Meter) - Web Thickness is the thickness of the web section in the member of I section.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Web Thickness: 100 Millimeter --> 0.1 Meter (Check conversion here)
Clear Distance between Flanges: 122 Millimeter --> 0.122 Meter (Check conversion here)
Slenderness of Web and Flange: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = ((6800*t_w^3)/h)*(1+(0.4*r_wf^3)) --> ((6800*0.1^3)/0.122)*(1+(0.4*2^3))

Evaluating ... ...

R = 234.098360655738

STEP 3: Convert Result to Output's Unit

234098.360655738 Newton -->234.098360655738 Kilonewton (Check conversion here)

FINAL ANSWER

234.098360655738 ≈ 234.0984 Kilonewton <-- Concentrated Load of Reaction

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Webs under Concentrated Loads » Required Stiffeners if Concentrated Load exceeds Load of Reaction R

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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

Required Stiffeners if Concentrated Load exceeds Load of Reaction R Formula

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

What are Bearing Stiffeners?

The Load-bearing web stiffeners or simply bearing stiffeners are vertically provided at points of application of concentrated loads and end reactions. The bearing stiffeners are provided to prevent the web from crushing and buckling sideways, under the action of concentrated load.

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 Required Stiffeners if Concentrated Load exceeds Load of Reaction R?

Required Stiffeners if Concentrated Load exceeds Load of Reaction R calculator uses Concentrated Load of Reaction = ((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3)) to calculate the Concentrated Load of Reaction, The Required Stiffeners if Concentrated Load exceeds Load of Reaction R formula is defined as the structural elements used to reinforce the parts of a structure under high-stress conditions. Concentrated Load of Reaction is denoted by R symbol.

How to calculate Required Stiffeners if Concentrated Load exceeds Load of Reaction R using this online calculator? To use this online calculator for Required Stiffeners if Concentrated Load exceeds Load of Reaction R, enter Web Thickness (t_w), Clear Distance between Flanges (h) & Slenderness of Web and Flange (r_wf) and hit the calculate button. Here is how the Required Stiffeners if Concentrated Load exceeds Load of Reaction R calculation can be explained with given input values -> 0.000234 = ((6800*0.1^3)/0.122)*(1+(0.4*2^3)).

FAQ

What is Required Stiffeners if Concentrated Load exceeds Load of Reaction R?

The Required Stiffeners if Concentrated Load exceeds Load of Reaction R formula is defined as the structural elements used to reinforce the parts of a structure under high-stress conditions and is represented as R = ((6800*t_w^3)/h)*(1+(0.4*r_wf^3)) or Concentrated Load of Reaction = ((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3)). Web Thickness is the thickness of the web section in the member of I section, Clear Distance between Flanges refers to the distance between the two endpoints of the flange. That is the height of the web including fillets & Slenderness of Web and Flange of a structural element is a measure of its susceptibility to buckling under compressive stress.

How to calculate Required Stiffeners if Concentrated Load exceeds Load of Reaction R?

The Required Stiffeners if Concentrated Load exceeds Load of Reaction R formula is defined as the structural elements used to reinforce the parts of a structure under high-stress conditions is calculated using Concentrated Load of Reaction = ((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3)). To calculate Required Stiffeners if Concentrated Load exceeds Load of Reaction R, you need Web Thickness (t_w), Clear Distance between Flanges (h) & Slenderness of Web and Flange (r_wf). With our tool, you need to enter the respective value for Web Thickness, Clear Distance between Flanges & Slenderness of Web and Flange 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 Concentrated Load of Reaction?

In this formula, Concentrated Load of Reaction uses Web Thickness, Clear Distance between Flanges & Slenderness of Web and Flange. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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