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Hybrid Girder Factor Formula

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Hybrid Girder Factor Re accounts for the strength reduction due to web yielding and is only important in hybrid girder design. Check FAQs

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

R_e - Hybrid Girder Factor?β - Ratio of Web Area to Flange Area?α - Ratio of Yield Stress?

Hybrid Girder Factor Example

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Here is how the Hybrid Girder Factor equation looks like with Values.

Here is how the Hybrid Girder Factor equation looks like with Units.

Here is how the Hybrid Girder Factor equation looks like.

0.9813 = \frac{12 + (3 \cdot (3 \cdot 0.8 - {0.8}^{3}))}{12 + 2 \cdot 3}

0.9813 = \frac{12 + (3 \cdot (3 \cdot 0.8 - {0.8}^{3}))}{12 + 2 \cdot 3}

0.9813 = \frac{12 + (3 \cdot (3 \cdot 0.8 - {0.8}^{3}))}{12 + 2 \cdot 3}

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Hybrid Girder Factor Solution

Follow our step by step solution on how to calculate Hybrid Girder Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R e = \frac{12 + (3 \cdot (3 \cdot 0.8 - {0.8}^{3}))}{12 + 2 \cdot 3}

Next Step Prepare to Evaluate

∴

R e = \frac{12 + (3 \cdot (3 \cdot 0.8 - {0.8}^{3}))}{12 + 2 \cdot 3}

Next Step Evaluate

∴

R e = 0.981333333333333

LAST Step Rounding Answer

∴

R e = 0.9813

Hybrid Girder Factor Formula Elements

Variables

Hybrid Girder Factor

Hybrid Girder Factor Re accounts for the strength reduction due to web yielding and is only important in hybrid girder design.

Symbol: R_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hybrid Girder Factor

Ratio of Web Area to Flange Area

The Ratio of Web Area to Flange Area of the orthotropic-plate bridge is the ratio of web area to the area of tension flange or bottom flange of the orthotropic-plate bridge.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Web Area to Flange Area

Ratio of Yield Stress

Ratio of Yield Stress is defined as the ratio of web yield stress to that of flange yield stress.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Yield Stress

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 Plate Girder Stress Reduction Factor

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

How to Evaluate Hybrid Girder Factor?

Hybrid Girder Factor evaluator uses 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) to evaluate the Hybrid Girder Factor, The Hybrid Girder Factor formula is defined as the strength reduction due to web yielding. Hybrid Girder Factor is denoted by R_e symbol.

How to evaluate Hybrid Girder Factor using this online evaluator? To use this online evaluator for Hybrid Girder Factor, enter Ratio of Web Area to Flange Area (β) & Ratio of Yield Stress (α) and hit the calculate button.

FAQs on Hybrid Girder Factor

What is the formula to find Hybrid Girder Factor?

The formula of Hybrid Girder Factor is expressed as 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). Here is an example- 0.981333 = (12+(3*(3*0.8-0.8^3)))/(12+2*3).

How to calculate Hybrid Girder Factor?

With Ratio of Web Area to Flange Area (β) & Ratio of Yield Stress (α) we can find Hybrid Girder Factor using the formula - 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).

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Hybrid Girder Factor Formula

Hybrid Girder Factor Example

Hybrid Girder Factor Solution

Hybrid Girder Factor Formula Elements

Other formulas in Plate Girders in Buildings category

How to Evaluate Hybrid Girder Factor?

FAQs on Hybrid Girder Factor

Variable Name