Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth Calculator

✖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 Depth of Section is the depth of the rectangular cross-section of the beam perpendicular to the axis of consideration.ⓘ Depth of Section [D]			+10% -10%
✖The Flange Thickness is the thickness of a flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.ⓘ Flange Thickness [t_f]			+10% -10%
✖Yield Stress of Steel is the stress at which the material begins to deform plastically, meaning it will not return to its original shape when the applied force is removed.ⓘ Yield Stress of Steel [F_y]			+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 when Applied at distance at least Half of Beam Depth [R]

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Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
R = 34*t_w^2*(1+3*(N/D)*(t_w/t_f)^1.5)*sqrt(F_y/(t_w/t_f))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.
Depth of Section - (Measured in Meter) - The Depth of Section is the depth of the rectangular cross-section of the beam perpendicular to the axis of consideration.
Flange Thickness - (Measured in Meter) - The Flange Thickness is the thickness of a flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.
Yield Stress of Steel - (Measured in Pascal) - Yield Stress of Steel is the stress at which the material begins to deform plastically, meaning it will not return to its original shape when the applied force is removed.

STEP 1: Convert Input(s) to Base Unit

Web Thickness: 100 Millimeter --> 0.1 Meter (Check conversion here)
Bearing or Plate Length: 160 Millimeter --> 0.16 Meter (Check conversion here)
Depth of Section: 121 Millimeter --> 0.121 Meter (Check conversion here)
Flange Thickness: 15 Millimeter --> 0.015 Meter (Check conversion here)
Yield Stress of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = 34*t_w^2*(1+3*(N/D)*(t_w/t_f)^1.5)*sqrt(F_y/(t_w/t_f)) --> 34*0.1^2*(1+3*(0.16/0.121)*(0.1/0.015)^1.5)*sqrt(250000000/(0.1/0.015))

Evaluating ... ...

R = 144253.888358357

STEP 3: Convert Result to Output's Unit

144253.888358357 Newton -->144.253888358357 Kilonewton (Check conversion here)

FINAL ANSWER

144.253888358357 ≈ 144.2539 Kilonewton <-- Concentrated Load of Reaction

(Calculation completed in 00.020 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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< Webs under Concentrated Loads Calculators

Stress when Concentrated Load is Applied Close to Beam End

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

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

LaTeX 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

LaTeX 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

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

Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth Formula

LaTeX Go

What are Bearing Stiffeners?

The Load bearing web stiffeners or simply bearing stiffeners are vertical stiffeners provided at points of application of concentrated loads and end reactions. The bearing stiffeners are provided to prevent the web from crushing and buckling sideway, 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 when Applied at distance at least Half of Beam Depth?

Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth calculator uses 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)) to calculate the Concentrated Load of Reaction, The Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth formula is defined as the limiting value of the concentrated load on a column to decide whether a bearing stiffener is needed or not. If the applied load exceeds the value above (satisfying the condition regarding d/2 distance), stiffeners are provided. Concentrated Load of Reaction is denoted by R symbol.

How to calculate Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth using this online calculator? To use this online calculator for Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth, enter Web Thickness (t_w), Bearing or Plate Length (N), Depth of Section (D), Flange Thickness (t_f) & Yield Stress of Steel (F_y) and hit the calculate button. Here is how the Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth calculation can be explained with given input values -> 0.105421 = 34*0.1^2*(1+3*(0.16/0.121)*(0.1/0.015)^1.5)*sqrt(250000000/(0.1/0.015)).

FAQ

What is Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth?

The Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth formula is defined as the limiting value of the concentrated load on a column to decide whether a bearing stiffener is needed or not. If the applied load exceeds the value above (satisfying the condition regarding d/2 distance), stiffeners are provided and is represented as R = 34*t_w^2*(1+3*(N/D)*(t_w/t_f)^1.5)*sqrt(F_y/(t_w/t_f)) or 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)). 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 Depth of Section is the depth of the rectangular cross-section of the beam perpendicular to the axis of consideration, The Flange Thickness is the thickness of a flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam & Yield Stress of Steel is the stress at which the material begins to deform plastically, meaning it will not return to its original shape when the applied force is removed.

How to calculate Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth?

The Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth formula is defined as the limiting value of the concentrated load on a column to decide whether a bearing stiffener is needed or not. If the applied load exceeds the value above (satisfying the condition regarding d/2 distance), stiffeners are provided is calculated using 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)). To calculate Reaction of Concentrated Load when Applied at distance at least Half of Beam Depth, you need Web Thickness (t_w), Bearing or Plate Length (N), Depth of Section (D), Flange Thickness (t_f) & Yield Stress of Steel (F_y). With our tool, you need to enter the respective value for Web Thickness, Bearing or Plate Length, Depth of Section, Flange Thickness & Yield Stress of Steel 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, Bearing or Plate Length, Depth of Section, Flange Thickness & Yield Stress of Steel. 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 = ((6800*Web Thickness^3)/Clear Distance between Flanges)*(1+(0.4*Slenderness of Web and Flange^3))

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