Reaction of Concentrated Load given Allowable Compressive Stress Calculator

✖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.ⓘ Compressive Stress [f_a]			+10% -10%
✖Web Thickness is the thickness of the web section in the member of I section.ⓘ Web Thickness [t_w]			+10% -10%
✖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.ⓘ Bearing or Plate Length [N]			+10% -10%
✖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.ⓘ Distance from Flange to Web Fillet [k]			+10% -10%

✖Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.ⓘ Reaction of Concentrated Load given Allowable Compressive Stress [R]

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Formula

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Reaction of Concentrated Load given Allowable Compressive Stress

Formula

`"R" = "f"_{"a"}*"t"_{"w"}*("N"+5*"k")`

Example

`"260.775kN"="10.431MPa"*"100mm"*("160mm"+5*"18mm")`

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Reaction of Concentrated Load given Allowable Compressive Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentrated Load of Reaction = Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet)
R = f_a*t_w*(N+5*k)
This formula uses 5 Variables

Variables Used

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.
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.
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

Compressive Stress: 10.431 Megapascal --> 10431000 Pascal (Check conversion here)
Web Thickness: 100 Millimeter --> 0.1 Meter (Check conversion here)
Bearing or Plate Length: 160 Millimeter --> 0.16 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

R = f_a*t_w*(N+5*k) --> 10431000*0.1*(0.16+5*0.018)

Evaluating ... ...

R = 260775

STEP 3: Convert Result to Output's Unit

260775 Newton -->260.775 Kilonewton (Check conversion here)

FINAL ANSWER

260.775 Kilonewton <-- Concentrated Load of Reaction

(Calculation completed in 00.008 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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

Reaction of Concentrated Load given Allowable Compressive Stress Formula

Concentrated Load of Reaction = Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet)
R = f_a*t_w*(N+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 Reaction of Concentrated Load given Allowable Compressive Stress?

Reaction of Concentrated Load given Allowable Compressive Stress calculator uses Concentrated Load of Reaction = Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet) to calculate the Concentrated Load of Reaction, The Reaction of Concentrated Load given Allowable Compressive Stress formula is defined as the relationship between the maximum compressive stress on the column and the web thickness. If the web thickness is much less, the compressive stress is more. Concentrated Load of Reaction is denoted by R symbol.

How to calculate Reaction of Concentrated Load given Allowable Compressive Stress using this online calculator? To use this online calculator for Reaction of Concentrated Load given Allowable Compressive Stress, enter Compressive Stress (f_a), Web Thickness (t_w), Bearing or Plate Length (N) & Distance from Flange to Web Fillet (k) and hit the calculate button. Here is how the Reaction of Concentrated Load given Allowable Compressive Stress calculation can be explained with given input values -> 0.28975 = 10431000*0.1*(0.16+5*0.018).

FAQ

What is Reaction of Concentrated Load given Allowable Compressive Stress?

The Reaction of Concentrated Load given Allowable Compressive Stress formula is defined as the relationship between the maximum compressive stress on the column and the web thickness. If the web thickness is much less, the compressive stress is more and is represented as R = f_a*t_w*(N+5*k) or Concentrated Load of Reaction = Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet). 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, 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 & 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 Reaction of Concentrated Load given Allowable Compressive Stress?

The Reaction of Concentrated Load given Allowable Compressive Stress formula is defined as the relationship between the maximum compressive stress on the column and the web thickness. If the web thickness is much less, the compressive stress is more is calculated using Concentrated Load of Reaction = Compressive Stress*Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet). To calculate Reaction of Concentrated Load given Allowable Compressive Stress, you need Compressive Stress (f_a), Web Thickness (t_w), Bearing or Plate Length (N) & Distance from Flange to Web Fillet (k). With our tool, you need to enter the respective value for Compressive Stress, Web Thickness, Bearing or Plate Length & 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 Concentrated Load of Reaction?

In this formula, Concentrated Load of Reaction uses Compressive Stress, Web Thickness, Bearing or Plate Length & Distance from Flange to Web Fillet. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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