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

STEP 0: Pre-Calculation Summary
Formula Used
Bearing or Plate Length = (Concentrated Load of Reaction/(Compressive Stress*Web Thickness))-5*Distance from Flange to Web Fillet
N = (R/(fa*tw))-5*k
This formula uses 5 Variables
Variables Used
Bearing or Plate Length - (Measured in Meter) - Bearing or Plate Length is the length along the beam under which a high concentration of stresses due to concentrated loads is transferred to the supporting structure below.
Concentrated Load of Reaction - (Measured in Newton) - Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.
Compressive Stress - (Measured in Pascal) - Compressive stress is the deformation of a material, leading to a reduction in its volume. It is caused by an externally applied force and is experienced by a material when it is under compression.
Web Thickness - (Measured in Meter) - Web Thickness is the thickness of the web section in the member of I section.
Distance from Flange to Web Fillet - (Measured in Meter) - The Distance from Flange to Web Fillet is the total distance from the outer face of the flange to the web toe of the fillet.
STEP 1: Convert Input(s) to Base Unit
Concentrated Load of Reaction: 235 Kilonewton --> 235000 Newton (Check conversion here)
Compressive Stress: 10.431 Megapascal --> 10431000 Pascal (Check conversion here)
Web Thickness: 100 Millimeter --> 0.1 Meter (Check conversion here)
Distance from Flange to Web Fillet: 18 Millimeter --> 0.018 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = (R/(fa*tw))-5*k --> (235000/(10431000*0.1))-5*0.018
Evaluating ... ...
N = 0.135290000958681
STEP 3: Convert Result to Output's Unit
0.135290000958681 Meter -->135.290000958681 Millimeter (Check conversion here)
FINAL ANSWER
135.290000958681 โ‰ˆ 135.29 Millimeter <-- Bearing or Plate Length
(Calculation completed in 00.020 seconds)

Credits

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
Ishita Goyal has verified this Calculator and 2600+ more calculators!

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

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

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

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

Length of Bearing when Load applied at Distance Larger than Depth of Beam calculator uses Bearing or Plate Length = (Concentrated Load of Reaction/(Compressive Stress*Web Thickness))-5*Distance from Flange to Web Fillet to calculate the Bearing or Plate Length, The Length of Bearing when Load applied at Distance Larger than Depth of Beam formula is defined as the minimum length of bearing used for columns to keep the column safe from excessive compressive loads. Bearing or Plate Length is denoted by N symbol.

How to calculate Length of Bearing when Load applied at Distance Larger than Depth of Beam using this online calculator? To use this online calculator for Length of Bearing when Load applied at Distance Larger than Depth of Beam, enter Concentrated Load of Reaction (R), Compressive Stress (fa), Web Thickness (tw) & Distance from Flange to Web Fillet (k) and hit the calculate button. Here is how the Length of Bearing when Load applied at Distance Larger than Depth of Beam calculation can be explained with given input values -> 112761 = (235000/(10431000*0.1))-5*0.018.

FAQ

What is Length of Bearing when Load applied at Distance Larger than Depth of Beam?
The Length of Bearing when Load applied at Distance Larger than Depth of Beam formula is defined as the minimum length of bearing used for columns to keep the column safe from excessive compressive loads and is represented as N = (R/(fa*tw))-5*k or Bearing or Plate Length = (Concentrated Load of Reaction/(Compressive Stress*Web Thickness))-5*Distance from Flange to Web Fillet. Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure, Compressive stress is the deformation of a material, leading to a reduction in its volume. It is caused by an externally applied force and is experienced by a material when it is under compression, Web Thickness is the thickness of the web section in the member of I section & The Distance from Flange to Web Fillet is the total distance from the outer face of the flange to the web toe of the fillet.
How to calculate Length of Bearing when Load applied at Distance Larger than Depth of Beam?
The Length of Bearing when Load applied at Distance Larger than Depth of Beam formula is defined as the minimum length of bearing used for columns to keep the column safe from excessive compressive loads is calculated using Bearing or Plate Length = (Concentrated Load of Reaction/(Compressive Stress*Web Thickness))-5*Distance from Flange to Web Fillet. To calculate Length of Bearing when Load applied at Distance Larger than Depth of Beam, you need Concentrated Load of Reaction (R), Compressive Stress (fa), Web Thickness (tw) & Distance from Flange to Web Fillet (k). With our tool, you need to enter the respective value for Concentrated Load of Reaction, Compressive Stress, Web Thickness & Distance from Flange to Web Fillet 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 Bearing or Plate Length?
In this formula, Bearing or Plate Length uses Concentrated Load of Reaction, Compressive Stress, Web Thickness & Distance from Flange to Web Fillet. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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)
Let Others Know
โœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!