Beam Depth for given Column Load Calculator

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

✖The Depth of Section is the depth of the rectangular cross-section of the beam perpendicular to the axis of consideration.ⓘ Beam Depth for given Column Load [D]

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Beam Depth for given Column Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
D = (N*(3*(t_w/t_f)^1.5))/((R/((67.5*t_w^(3/2))*sqrt(F_y*t_f))-1))
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

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.
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.
Web Thickness - (Measured in Meter) - Web Thickness is the thickness of the web section in the member of I section.
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.
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.
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

Bearing or Plate Length: 160 Millimeter --> 0.16 Meter (Check conversion here)
Web Thickness: 100 Millimeter --> 0.1 Meter (Check conversion here)
Flange Thickness: 15 Millimeter --> 0.015 Meter (Check conversion here)
Concentrated Load of Reaction: 235 Kilonewton --> 235000 Newton (Check conversion here)
Yield Stress of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (N*(3*(t_w/t_f)^1.5))/((R/((67.5*t_w^(3/2))*sqrt(F_y*t_f))-1)) --> (0.16*(3*(0.1/0.015)^1.5))/((235000/((67.5*0.1^(3/2))*sqrt(250000000*0.015))-1))

Evaluating ... ...

D = 0.147932249989211

STEP 3: Convert Result to Output's Unit

0.147932249989211 Meter -->147.932249989211 Millimeter (Check conversion here)

FINAL ANSWER

147.932249989211 ≈ 147.9322 Millimeter <-- Depth of Section

(Calculation completed in 00.009 seconds)

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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!

< 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))

Beam Depth for given Column Load Formula

LaTeX Go

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 Beam Depth for given Column Load?

Beam Depth for given Column Load calculator uses 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)) to calculate the Depth of Section, The Beam Depth for given Column Load formula is defined as the parameters, bearing length, web and flange thickness, and the yield stress of web and column load used for finding the depth of a beam. Depth of Section is denoted by D symbol.

How to calculate Beam Depth for given Column Load using this online calculator? To use this online calculator for Beam Depth for given Column Load, enter Bearing or Plate Length (N), Web Thickness (t_w), Flange Thickness (t_f), Concentrated Load of Reaction (R) & Yield Stress of Steel (F_y) and hit the calculate button. Here is how the Beam Depth for given Column Load calculation can be explained with given input values -> 147932.2 = (0.16*(3*(0.1/0.015)^1.5))/((235000/((67.5*0.1^(3/2))*sqrt(250000000*0.015))-1)).

FAQ

What is Beam Depth for given Column Load?

The Beam Depth for given Column Load formula is defined as the parameters, bearing length, web and flange thickness, and the yield stress of web and column load used for finding the depth of a beam and is represented as D = (N*(3*(t_w/t_f)^1.5))/((R/((67.5*t_w^(3/2))*sqrt(F_y*t_f))-1)) or 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)). 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, Web Thickness is the thickness of the web section in the member of I section, 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, Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure & 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 Beam Depth for given Column Load?

The Beam Depth for given Column Load formula is defined as the parameters, bearing length, web and flange thickness, and the yield stress of web and column load used for finding the depth of a beam is calculated using 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)). To calculate Beam Depth for given Column Load, you need Bearing or Plate Length (N), Web Thickness (t_w), Flange Thickness (t_f), Concentrated Load of Reaction (R) & Yield Stress of Steel (F_y). With our tool, you need to enter the respective value for Bearing or Plate Length, Web Thickness, Flange Thickness, Concentrated Load of Reaction & 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.

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