Clear Distance from Flanges for Concentrated Load with Stiffeners Calculator

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

✖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 from Flanges for Concentrated Load with Stiffeners [h]

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Formula

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Clear Distance from Flanges for Concentrated Load with Stiffeners

Formula

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

Example

`"121.5319mm"=((6800*("100mm")^3)/"235kN")*(1+(0.4*("2")^3))`

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Clear Distance from Flanges for Concentrated Load with Stiffeners Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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)
Concentrated Load of Reaction: 235 Kilonewton --> 235 Kilonewton No Conversion Required
Slenderness of Web and Flange: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = ((6800*t_w^3)/R)*(1+(0.4*r_wf^3)) --> ((6800*0.1^3)/235)*(1+(0.4*2^3))

Evaluating ... ...

h = 0.121531914893617

STEP 3: Convert Result to Output's Unit

0.121531914893617 Meter -->121.531914893617 Millimeter (Check conversion here)

FINAL ANSWER

121.531914893617 ≈ 121.5319 Millimeter <-- Clear Distance between Flanges

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Webs under Concentrated Loads » Clear Distance from Flanges for Concentrated Load with Stiffeners

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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

Clear Distance from Flanges for Concentrated Load with Stiffeners Formula

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

Clear Distance from Flanges for Concentrated Load with Stiffeners calculator uses Clear Distance between Flanges = ((6800*Web Thickness^3)/Concentrated Load of Reaction)*(1+(0.4*Slenderness of Web and Flange^3)) to calculate the Clear Distance between Flanges, The Clear Distance from Flanges for Concentrated Load with Stiffeners formula is defined as the distance between the top and bottom flange when the relative slenderness of the web and flange is 2.3. Clear Distance between Flanges is denoted by h symbol.

How to calculate Clear Distance from Flanges for Concentrated Load with Stiffeners using this online calculator? To use this online calculator for Clear Distance from Flanges for Concentrated Load with Stiffeners, enter Web Thickness (t_w), Concentrated Load of Reaction (R) & Slenderness of Web and Flange (r_wf) and hit the calculate button. Here is how the Clear Distance from Flanges for Concentrated Load with Stiffeners calculation can be explained with given input values -> 121531.9 = ((6800*0.1^3)/235000)*(1+(0.4*2^3)).

FAQ

What is Clear Distance from Flanges for Concentrated Load with Stiffeners?

The Clear Distance from Flanges for Concentrated Load with Stiffeners formula is defined as the distance between the top and bottom flange when the relative slenderness of the web and flange is 2.3 and is represented as h = ((6800*t_w^3)/R)*(1+(0.4*r_wf^3)) or Clear Distance between Flanges = ((6800*Web Thickness^3)/Concentrated Load of Reaction)*(1+(0.4*Slenderness of Web and Flange^3)). Web Thickness is the thickness of the web section in the member of I section, Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure & Slenderness of Web and Flange of a structural element is a measure of its susceptibility to buckling under compressive stress.

How to calculate Clear Distance from Flanges for Concentrated Load with Stiffeners?

The Clear Distance from Flanges for Concentrated Load with Stiffeners formula is defined as the distance between the top and bottom flange when the relative slenderness of the web and flange is 2.3 is calculated using Clear Distance between Flanges = ((6800*Web Thickness^3)/Concentrated Load of Reaction)*(1+(0.4*Slenderness of Web and Flange^3)). To calculate Clear Distance from Flanges for Concentrated Load with Stiffeners, you need Web Thickness (t_w), Concentrated Load of Reaction (R) & Slenderness of Web and Flange (r_wf). With our tool, you need to enter the respective value for Web Thickness, Concentrated Load of Reaction & 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.

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