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Number of Connectors in Bridges Formula

GoMinimum Number of Connectors for Bridges Formula

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No of Connector in Bridge is total number of joints. Check FAQs

N = \frac{P on slab}{Φ \cdot S ultimate}

N - No of Connector in Bridge?P_{on slab} - Slab Force?Φ - Reduction Factor?S_ultimate - Ultimate Shear Connector Stress?

Number of Connectors in Bridges Example

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Here is how the Number of Connectors in Bridges equation looks like with Values.

Here is how the Number of Connectors in Bridges equation looks like with Units.

Here is how the Number of Connectors in Bridges equation looks like.

14.4118 = \frac{245}{0.85 \cdot 20}

14.4118 = \frac{245kN}{0.85 \cdot 20kN}

14.4118 = \frac{245}{0.85 \cdot 20}

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Number of Connectors in Bridges Solution

Follow our step by step solution on how to calculate Number of Connectors in Bridges?

FIRST Step Consider the formula

N = \frac{P on slab}{Φ \cdot S ultimate}

Next Step Substitute values of Variables

∴

N = \frac{245kN}{0.85 \cdot 20kN}

Next Step Convert Units

∴

N = \frac{245000N}{0.85 \cdot 20000N}

Next Step Prepare to Evaluate

∴

N = \frac{245000}{0.85 \cdot 20000}

Next Step Evaluate

∴

N = 14.4117647058824

LAST Step Rounding Answer

∴

N = 14.4118

Number of Connectors in Bridges Formula Elements

Variables

No of Connector in Bridge

No of Connector in Bridge is total number of joints.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find No of Connector in Bridge

Slab Force

Slab Force at maximum positive moments.

Symbol: P_{on slab}

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Slab Force

Reduction Factor

Reduction Factor is constant term used as factor for load calculation.

Symbol: Φ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduction Factor

Ultimate Shear Connector Stress

Ultimate Shear Connector Stress is the maximum strength in shear.

Symbol: S_ultimate

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Ultimate Shear Connector Stress

Other Formulas to find No of Connector in Bridge

Go Minimum Number of Connectors for Bridges

N = \frac{P on slab + P 3}{Φ \cdot S ultimate}

Other formulas in Number of Connectors in Bridges category

Go Force in Slab given Number of Connectors in Bridges

P on slab = N \cdot Φ \cdot S ultimate

Go Reduction Factor given Number of Connectors in Bridges

Φ = \frac{P on slab}{N \cdot S ultimate}

Go Ultimate Shear Connector Strength given Number of Connectors in Bridges

S ultimate = \frac{P on slab}{N \cdot Φ}

Go Force in Slab given Total Area of Steel Section

P on slab = A st \cdot f y

How to Evaluate Number of Connectors in Bridges?

Number of Connectors in Bridges evaluator uses No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress) to evaluate the No of Connector in Bridge, The Number of Connectors in Bridges formula is defined as total number of shear connectors based on ultimate shear strength. No of Connector in Bridge is denoted by N symbol.

How to evaluate Number of Connectors in Bridges using this online evaluator? To use this online evaluator for Number of Connectors in Bridges, enter Slab Force (P_{on slab}), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate) and hit the calculate button.

FAQs on Number of Connectors in Bridges

What is the formula to find Number of Connectors in Bridges?

The formula of Number of Connectors in Bridges is expressed as No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress). Here is an example- 14.41176 = 245000/(0.85*20000).

How to calculate Number of Connectors in Bridges?

With Slab Force (P_{on slab}), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate) we can find Number of Connectors in Bridges using the formula - No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress).

What are the other ways to Calculate No of Connector in Bridge?

Here are the different ways to Calculate No of Connector in Bridge-

No of Connector in Bridge=(Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress)

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Number of Connectors in Bridges Formula

​GoMinimum Number of Connectors for Bridges Formula

Number of Connectors in Bridges Example

Number of Connectors in Bridges Solution

Number of Connectors in Bridges Formula Elements

Other Formulas to find No of Connector in Bridge

Other formulas in Number of Connectors in Bridges category

How to Evaluate Number of Connectors in Bridges?

FAQs on Number of Connectors in Bridges

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GoMinimum Number of Connectors for Bridges Formula