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Plate Girder Stress Reduction Factor Formula

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Plate Girder Strength Reduction Factor accounts for the strength reduction due to elastic web buckling. Check FAQs

R pg = (1 - 0.0005 \cdot (\frac{A web}{A f}) \cdot (ht - (\frac{760}{\sqrt{F b}})))

R_pg - Plate Girder Strength Reduction Factor?A_web - Web Area?A_f - Area of Flange?ht - Depth to Thickness Ratio?F_b - Allowable Bending Stress?

Plate Girder Stress Reduction Factor Example

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Here is how the Plate Girder Stress Reduction Factor equation looks like with Values.

Here is how the Plate Girder Stress Reduction Factor equation looks like with Units.

Here is how the Plate Girder Stress Reduction Factor equation looks like.

0.6403 = (1 - 0.0005 \cdot (\frac{80}{10}) \cdot (90.365 - (\frac{760}{\sqrt{3}})))

0.6403 = (1 - 0.0005 \cdot (\frac{80mm²}{10mm²}) \cdot (90.365 - (\frac{760}{\sqrt{3MPa}})))

0.6403 = (1 - 0.0005 \cdot (\frac{80}{10}) \cdot (90.365 - (\frac{760}{\sqrt{3}})))

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Plate Girder Stress Reduction Factor Solution

Follow our step by step solution on how to calculate Plate Girder Stress Reduction Factor?

FIRST Step Consider the formula

R pg = (1 - 0.0005 \cdot (\frac{A web}{A f}) \cdot (ht - (\frac{760}{\sqrt{F b}})))

Next Step Substitute values of Variables

∴

R pg = (1 - 0.0005 \cdot (\frac{80mm²}{10mm²}) \cdot (90.365 - (\frac{760}{\sqrt{3MPa}})))

Next Step Convert Units

∴

R pg = (1 - 0.0005 \cdot (\frac{80mm²}{10mm²}) \cdot (90.365 - (\frac{760}{\sqrt{3E+6Pa}})))

Next Step Prepare to Evaluate

∴

R pg = (1 - 0.0005 \cdot (\frac{80}{10}) \cdot (90.365 - (\frac{760}{\sqrt{3E+6}})))

Next Step Evaluate

∴

R pg = 0.640295144818336

LAST Step Rounding Answer

∴

R pg = 0.6403

Plate Girder Stress Reduction Factor Formula Elements

Variables

Functions

Plate Girder Strength Reduction Factor

Plate Girder Strength Reduction Factor accounts for the strength reduction due to elastic web buckling.

Symbol: R_pg

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Plate Girder Strength Reduction Factor

Web Area

Web Area is the area of the vertical piece that connects the two flanges in an I-section or beam.

Symbol: A_web

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Web Area

Area of Flange

Area of Flange is space occupied by flange.

Symbol: A_f

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Flange

Depth to Thickness Ratio

Depth to Thickness Ratio is the ratio between the depth of the structure to its thickness.

Symbol: ht

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Depth to Thickness Ratio

Allowable Bending Stress

Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.

Symbol: F_b

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Bending Stress

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.

Syntax: sqrt(Number)

Other formulas in Plate Girders in Buildings category

Go Maximum Depth to Thickness Ratio for Unstiffened Web

ht = \frac{14000}{\sqrt{F y \cdot (F y + 16.5)}}

Go Depth to Thickness Ratio of Girder with Transverse Stiffeners

ht = \frac{2000}{\sqrt{F y}}

Go Allowable Bending Stress in Compression Flange

F b' = F b \cdot R pg \cdot R e

Go Hybrid Girder Factor

R e = \frac{12 + (β \cdot (3 \cdot α - α^{3}))}{12 + 2 \cdot β}

How to Evaluate Plate Girder Stress Reduction Factor?

Plate Girder Stress Reduction Factor evaluator uses Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress)))) to evaluate 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 evaluate Plate Girder Stress Reduction Factor using this online evaluator? To use this online evaluator 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.

FAQs on Plate Girder Stress Reduction Factor

What is the formula to find Plate Girder Stress Reduction Factor?

The formula of Plate Girder Stress Reduction Factor is expressed as Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress)))). Here is an example- 0.640295 = (1-0.0005*(8E-05/1E-05)*(90.365-(760/sqrt(3000000)))).

How to calculate Plate Girder Stress Reduction Factor?

With Web Area (A_web), Area of Flange (A_f), Depth to Thickness Ratio (ht) & Allowable Bending Stress (F_b) we can find Plate Girder Stress Reduction Factor using the formula - Plate Girder Strength Reduction Factor = (1-0.0005*(Web Area/Area of Flange)*(Depth to Thickness Ratio-(760/sqrt(Allowable Bending Stress)))). This formula also uses Square Root Function function(s).

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Plate Girder Stress Reduction Factor Formula

Plate Girder Stress Reduction Factor Example

Plate Girder Stress Reduction Factor Solution

Plate Girder Stress Reduction Factor Formula Elements

Other formulas in Plate Girders in Buildings category

How to Evaluate Plate Girder Stress Reduction Factor?

FAQs on Plate Girder Stress Reduction Factor

Variable Name