Plate Girder Stress Reduction Factor Calculator

✖Web Area is the area of the vertical piece that connects the two flanges in an I-section or beam.ⓘ Web Area [A_web]			+10% -10%
✖Area of Flange is space occupied by flange.ⓘ Area of Flange [A_f]			+10% -10%
✖Depth to Thickness Ratio is the ratio between the depth of the structure to its thickness.ⓘ Depth to Thickness Ratio [ht]			+10% -10%
✖Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.ⓘ Allowable Bending Stress [F_b]			+10% -10%

✖Plate Girder Strength Reduction Factor accounts for the strength reduction due to elastic web buckling.ⓘ Plate Girder Stress Reduction Factor [R_pg]

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Formula

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Plate Girder Stress Reduction Factor

Formula

`"R"_{"pg"} = (1-0.0005*("A"_{"web"}/"A"_{"f"})*("ht"-(760/sqrt("F"_{"b"}))))`

Example

`"0.640295"=(1-0.0005*("80mm²"/"10mm²")*("90.365"-(760/sqrt("3MPa"))))`

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Plate Girder Stress Reduction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress))))
R_pg = (1-0.0005*(A_web/A_f)*(ht-(760/sqrt(F_b))))
This formula uses 1 Functions, 5 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

Plate Girder Strength Reduction Factor - Plate Girder Strength Reduction Factor accounts for the strength reduction due to elastic web buckling.
Web Area - (Measured in Square Millimeter) - Web Area is the area of the vertical piece that connects the two flanges in an I-section or beam.
Area of Flange - (Measured in Square Millimeter) - Area of Flange is space occupied by flange.
Depth to Thickness Ratio - Depth to Thickness Ratio is the ratio between the depth of the structure to its thickness.
Allowable Bending Stress - (Measured in Pascal) - Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.

STEP 1: Convert Input(s) to Base Unit

Web Area: 80 Square Millimeter --> 80 Square Millimeter No Conversion Required
Area of Flange: 10 Square Millimeter --> 10 Square Millimeter No Conversion Required
Depth to Thickness Ratio: 90.365 --> No Conversion Required
Allowable Bending Stress: 3 Megapascal --> 3000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_pg = (1-0.0005*(A_web/A_f)*(ht-(760/sqrt(F_b)))) --> (1-0.0005*(80/10)*(90.365-(760/sqrt(3000000))))

Evaluating ... ...

R_pg = 0.640295144818336

STEP 3: Convert Result to Output's Unit

0.640295144818336 --> No Conversion Required

FINAL ANSWER

0.640295144818336 ≈ 0.640295 <-- Plate Girder Strength Reduction Factor

(Calculation completed in 00.004 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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< 5 Plate Girders in Buildings Calculators

Plate Girder Stress Reduction Factor

Go Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress))))

Hybrid Girder Factor

Go Hybrid Girder Factor = (12+(Ratio of Web Area to Flange Area*(3*Ratio of Yield Stress-Ratio of Yield Stress^3)))/(12+2*Ratio of Web Area to Flange Area)

Allowable Bending Stress in Compression Flange

Go Reduced Allowable Bending Stress = Allowable Bending Stress*Plate Girder Strength Reduction Factor*Hybrid Girder Factor

Maximum Depth to Thickness Ratio for Unstiffened Web

Go Depth to Thickness Ratio = 14000/sqrt(Yield Stress of Steel*(Yield Stress of Steel+16.5))

Depth to Thickness Ratio of Girder with Transverse Stiffeners

Go Depth to Thickness Ratio = 2000/sqrt(Yield Stress of Steel)

Plate Girder Stress Reduction Factor Formula

Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress))))
R_pg = (1-0.0005*(A_web/A_f)*(ht-(760/sqrt(F_b))))

What are Plate Girders?

A Plate Girder is a built up I-beam section, used to carry heavy loads which cannot be carried economically by rolled I-sections. It is made by riveting or welding the steel plates in I-beam shape.

What are the Components of Plate Girders?

Web : The deep central vertical plate is called as a web in plate girder.

Flanges : Flanges or flange plates are horizontal elements of plate girder which are provided at the top and bottom and they are separated by the web.

Stiffeners : Again classified as vertical and horizontal stiffeners. : Vertical stiffeners are provided at right angles to the flanges and they are also called as transverse stiffeners. Horizontal stiffeners are provided in parallel to the flange plates. They are also called as longitudinal stiffeners. These stiffeners will improve the buckling strength of the web portion.

How to Calculate Plate Girder Stress Reduction Factor?

Plate Girder Stress Reduction Factor calculator uses Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress)))) to calculate the Plate Girder Strength Reduction Factor, The Plate Girder Stress Reduction Factor formula is defined as the strength reduction due to elastic web buckling. Plate Girder Strength Reduction Factor is denoted by R_pg symbol.

How to calculate Plate Girder Stress Reduction Factor using this online calculator? To use this online calculator for Plate Girder Stress Reduction Factor, enter Web Area (A_web), Area of Flange (A_f), Depth to Thickness Ratio (ht) & Allowable Bending Stress (F_b) and hit the calculate button. Here is how the Plate Girder Stress Reduction Factor calculation can be explained with given input values -> 0.640295 = (1-0.0005*(8E-05/1E-05)*(90.365-(760/sqrt(3000000)))).

FAQ

What is Plate Girder Stress Reduction Factor?

The Plate Girder Stress Reduction Factor formula is defined as the strength reduction due to elastic web buckling and is represented as R_pg = (1-0.0005*(A_web/A_f)*(ht-(760/sqrt(F_b)))) or Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress)))). Web Area is the area of the vertical piece that connects the two flanges in an I-section or beam, Area of Flange is space occupied by flange, Depth to Thickness Ratio is the ratio between the depth of the structure to its thickness & Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.

How to calculate Plate Girder Stress Reduction Factor?

The Plate Girder Stress Reduction Factor formula is defined as the strength reduction due to elastic web buckling is calculated using Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress)))). To calculate Plate Girder Stress Reduction Factor, you need Web Area (A_web), Area of Flange (A_f), Depth to Thickness Ratio (ht) & Allowable Bending Stress (F_b). With our tool, you need to enter the respective value for Web Area, Area of Flange, Depth to Thickness Ratio & Allowable Bending Stress 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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