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Minimum Number of Connectors for Bridges Formula

GoNumber of Connectors in Bridges Formula

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

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

N - No of Connector in Bridge?P_{on slab} - Slab Force?P₃ - Force in Slab at Negative Moment Point?Φ - Reduction Factor?S_ultimate - Ultimate Shear Connector Stress?

Minimum Number of Connectors for Bridges Example

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

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

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

15 = \frac{245 + 10}{0.85 \cdot 20}

15 = \frac{245kN + 10kN}{0.85 \cdot 20kN}

15 = \frac{245 + 10}{0.85 \cdot 20}

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Minimum Number of Connectors for Bridges Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = \frac{245kN + 10kN}{0.85 \cdot 20kN}

Next Step Convert Units

∴

N = \frac{245000N + 10000N}{0.85 \cdot 20000N}

Next Step Prepare to Evaluate

∴

N = \frac{245000 + 10000}{0.85 \cdot 20000}

LAST Step Evaluate

∴

N = 15

Minimum Number of Connectors for 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

Force in Slab at Negative Moment Point

Force in Slab at negative moment point is the force where maximum negative occurs.

Symbol: P₃

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Force in Slab at Negative Moment Point

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 Number of Connectors in Bridges

N = \frac{P on slab}{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 Minimum Number of Connectors for Bridges?

Minimum Number of Connectors for Bridges evaluator uses No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress) to evaluate the No of Connector in Bridge, The Minimum Number of Connectors for Bridges formula is defined as a limiting value for several connectors by which the connector should be greater or equal. No of Connector in Bridge is denoted by N symbol.

How to evaluate Minimum Number of Connectors for Bridges using this online evaluator? To use this online evaluator for Minimum Number of Connectors for Bridges, enter Slab Force (P_{on slab}), Force in Slab at Negative Moment Point (P₃), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate) and hit the calculate button.

FAQs on Minimum Number of Connectors for Bridges

What is the formula to find Minimum Number of Connectors for Bridges?

The formula of Minimum Number of Connectors for Bridges is expressed as No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress). Here is an example- 15 = (245000+10000)/(0.85*20000).

How to calculate Minimum Number of Connectors for Bridges?

With Slab Force (P_{on slab}), Force in Slab at Negative Moment Point (P₃), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate) we can find Minimum Number of Connectors for Bridges using the formula - No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(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/(Reduction Factor*Ultimate Shear Connector Stress)

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Minimum Number of Connectors for Bridges Formula

​GoNumber of Connectors in Bridges Formula

Minimum Number of Connectors for Bridges Example

Minimum Number of Connectors for Bridges Solution

Minimum Number of Connectors for Bridges Formula Elements

Other Formulas to find No of Connector in Bridge

Other formulas in Number of Connectors in Bridges category

How to Evaluate Minimum Number of Connectors for Bridges?

FAQs on Minimum Number of Connectors for Bridges

Variable Name

GoNumber of Connectors in Bridges Formula