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

✖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.ⓘ Stress for Concentrated Load Applied at Distance Larger than Depth of Beam [f_a]

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Formula

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

Formula

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

Example

`"9.4MPa"="235kN"/("100mm"*("160mm"+5*"18mm"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Concentrated Load of Reaction: 235 Kilonewton --> 235000 Newton (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

f_a = R/(t_w*(N+5*k)) --> 235000/(0.1*(0.16+5*0.018))

Evaluating ... ...

f_a = 9400000

STEP 3: Convert Result to Output's Unit

9400000 Pascal -->9.4 Megapascal (Check conversion here)

FINAL ANSWER

9.4 Megapascal <-- Compressive Stress

(Calculation completed in 00.020 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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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

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

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

What is the Column?

The Column can be defined as a vertical structural member designed to transmit a compressive load. A Column transmits the load from ceiling/roof slab and beam, including its own weight to the foundation. Hence it should be realized that the failure of a column results in the collapse of the entire structure.

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

Stress for Concentrated Load Applied at Distance Larger than Depth of Beam calculator uses Compressive Stress = Concentrated Load of Reaction/(Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet)) to calculate the Compressive Stress, The Stress for Concentrated Load Applied at Distance Larger than Depth of Beam formula is defined as the maximum limit of compressive stress on columns when the concentrated load is acted at a distance larger than the depth of the beam from the end of the beam. Compressive Stress is denoted by f_a symbol.

How to calculate Stress for Concentrated Load Applied at Distance Larger than Depth of Beam using this online calculator? To use this online calculator for Stress for Concentrated Load Applied at Distance Larger than Depth of Beam, enter Concentrated Load of Reaction (R), 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 Stress for Concentrated Load Applied at Distance Larger than Depth of Beam calculation can be explained with given input values -> 9.4E-6 = 235000/(0.1*(0.16+5*0.018)).

FAQ

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

The Stress for Concentrated Load Applied at Distance Larger than Depth of Beam formula is defined as the maximum limit of compressive stress on columns when the concentrated load is acted at a distance larger than the depth of the beam from the end of the beam and is represented as f_a = R/(t_w*(N+5*k)) or Compressive Stress = Concentrated Load of Reaction/(Web Thickness*(Bearing or Plate Length+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, 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 Stress for Concentrated Load Applied at Distance Larger than Depth of Beam?

The Stress for Concentrated Load Applied at Distance Larger than Depth of Beam formula is defined as the maximum limit of compressive stress on columns when the concentrated load is acted at a distance larger than the depth of the beam from the end of the beam is calculated using Compressive Stress = Concentrated Load of Reaction/(Web Thickness*(Bearing or Plate Length+5*Distance from Flange to Web Fillet)). To calculate Stress for Concentrated Load Applied at Distance Larger than Depth of Beam, you need Concentrated Load of Reaction (R), 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 Concentrated Load of Reaction, 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 Compressive Stress?

In this formula, Compressive Stress uses Concentrated Load of Reaction, Web Thickness, Bearing or Plate Length & Distance from Flange to Web Fillet. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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