FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress Formula

Fx Copy

LaTeX Copy

Allowable Stress Multiplier is a factor used in hybrid bridge girders design. Check FAQs

R = 1 - \frac{{(1 - α)}^{2} \cdot (β \cdot ψ) \cdot (3 - ψ + ψ \cdot α)}{6 + β \cdot ψ \cdot (3 - ψ)}

R - Allowable Stress Multiplier?α - Ratio of Web to Flange Yield Strength?β - Ratio of Web to Flange Area?ψ - Distance Ratio of Flange to Depth?

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress Example

With values

With units

Only example

Here is how the Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress equation looks like with Values.

Here is how the Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress equation looks like with Units.

Here is how the Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress equation looks like.

0.5 = 1 - \frac{{(1 - 1.5)}^{2} \cdot (3 \cdot 2) \cdot (3 - 2 + 2 \cdot 1.5)}{6 + 3 \cdot 2 \cdot (3 - 2)}

0.5 = 1 - \frac{{(1 - 1.5)}^{2} \cdot (3 \cdot 2) \cdot (3 - 2 + 2 \cdot 1.5)}{6 + 3 \cdot 2 \cdot (3 - 2)}

0.5 = 1 - \frac{{(1 - 1.5)}^{2} \cdot (3 \cdot 2) \cdot (3 - 2 + 2 \cdot 1.5)}{6 + 3 \cdot 2 \cdot (3 - 2)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Bridge and Suspension Cable » fx Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress Solution

Follow our step by step solution on how to calculate Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress?

FIRST Step Consider the formula

R = 1 - \frac{{(1 - α)}^{2} \cdot (β \cdot ψ) \cdot (3 - ψ + ψ \cdot α)}{6 + β \cdot ψ \cdot (3 - ψ)}

Next Step Substitute values of Variables

∴

R = 1 - \frac{{(1 - 1.5)}^{2} \cdot (3 \cdot 2) \cdot (3 - 2 + 2 \cdot 1.5)}{6 + 3 \cdot 2 \cdot (3 - 2)}

Next Step Prepare to Evaluate

∴

R = 1 - \frac{{(1 - 1.5)}^{2} \cdot (3 \cdot 2) \cdot (3 - 2 + 2 \cdot 1.5)}{6 + 3 \cdot 2 \cdot (3 - 2)}

LAST Step Evaluate

∴

R = 0.5

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress Formula Elements

Variables

Allowable Stress Multiplier

Allowable Stress Multiplier is a factor used in hybrid bridge girders design.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Allowable Stress Multiplier

Ratio of Web to Flange Yield Strength

Ratio of Web to Flange Yield Strength is a strength ratio.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Web to Flange Yield Strength

Ratio of Web to Flange Area

The Ratio of Web 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 to Flange Area

Distance Ratio of Flange to Depth

Distance Ratio of Flange to Depth is the ratio of the distance from the outer edge of tension flange or bottom flange of the orthotropic deck to neutral axis divided by the depth of steel section.

Symbol: ψ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Distance Ratio of Flange to Depth

Other formulas in Bending Stresses category

Go Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members

S tr = \frac{M L}{f steel stress - (\frac{M D(unshored)}{S s})}

Go Section Modulus of Transformed Composite Section given Stress in Steel for Shored Members

S tr = \frac{M D(shored) + M L}{f steel stress}

Go Stress in Steel for Unshored Members

f steel stress = (\frac{M D(unshored)}{S s}) + (\frac{M L}{S tr})

Go Stress in Steel for Shored Members

f steel stress = \frac{M D(shored) + M L}{S tr}

How to Evaluate Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress?

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress evaluator uses Allowable Stress Multiplier = 1-((1-Ratio of Web to Flange Yield Strength)^2*(Ratio of Web to Flange Area*Distance Ratio of Flange to Depth)*(3-Distance Ratio of Flange to Depth+Distance Ratio of Flange to Depth*Ratio of Web to Flange Yield Strength))/(6+Ratio of Web to Flange Area*Distance Ratio of Flange to Depth*(3-Distance Ratio of Flange to Depth)) to evaluate the Allowable Stress Multiplier, The Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress is defined as a factor used for allowable stress. Allowable Stress Multiplier is denoted by R symbol.

How to evaluate Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress using this online evaluator? To use this online evaluator for Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress, enter Ratio of Web to Flange Yield Strength (α), Ratio of Web to Flange Area (β) & Distance Ratio of Flange to Depth (ψ) and hit the calculate button.

FAQs on Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress

What is the formula to find Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress?

The formula of Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress is expressed as Allowable Stress Multiplier = 1-((1-Ratio of Web to Flange Yield Strength)^2*(Ratio of Web to Flange Area*Distance Ratio of Flange to Depth)*(3-Distance Ratio of Flange to Depth+Distance Ratio of Flange to Depth*Ratio of Web to Flange Yield Strength))/(6+Ratio of Web to Flange Area*Distance Ratio of Flange to Depth*(3-Distance Ratio of Flange to Depth)). Here is an example- 0.5 = 1-((1-1.5)^2*(3*2)*(3-2+2*1.5))/(6+3*2*(3-2)).

How to calculate Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress?

With Ratio of Web to Flange Yield Strength (α), Ratio of Web to Flange Area (β) & Distance Ratio of Flange to Depth (ψ) we can find Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress using the formula - Allowable Stress Multiplier = 1-((1-Ratio of Web to Flange Yield Strength)^2*(Ratio of Web to Flange Area*Distance Ratio of Flange to Depth)*(3-Distance Ratio of Flange to Depth+Distance Ratio of Flange to Depth*Ratio of Web to Flange Yield Strength))/(6+Ratio of Web to Flange Area*Distance Ratio of Flange to Depth*(3-Distance Ratio of Flange to Depth)).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress Formula

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress Example

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress Solution

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress Formula Elements

Other formulas in Bending Stresses category

How to Evaluate Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress?

FAQs on Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress

Variable Name