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Reduction Factor given Minimum Number of Connectors in Bridges Formula

GoReduction Factor given Number of Connectors in Bridges Formula

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

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

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

Reduction Factor given Minimum Number of Connectors in Bridges Example

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Here is how the Reduction Factor given Minimum Number of Connectors in Bridges equation looks like with Values.

Here is how the Reduction Factor given Minimum Number of Connectors in Bridges equation looks like with Units.

Here is how the Reduction Factor given Minimum Number of Connectors in Bridges equation looks like.

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

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

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

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Reduction Factor given Minimum Number of Connectors in Bridges Solution

Follow our step by step solution on how to calculate Reduction Factor given Minimum Number of Connectors in Bridges?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

Φ = \frac{245000N + 10000N}{20000N \cdot 15}

Next Step Prepare to Evaluate

∴

Φ = \frac{245000 + 10000}{20000 \cdot 15}

LAST Step Evaluate

∴

Φ = 0.85

Reduction Factor given Minimum Number of Connectors in Bridges Formula Elements

Variables

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

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

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

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

Other Formulas to find Reduction Factor

Go Reduction Factor given Number of Connectors in Bridges

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

Other formulas in Number of Connectors in Bridges category

Go Number of Connectors in Bridges

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

Go Force in Slab given Number of Connectors in Bridges

P on slab = N \cdot Φ \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 Reduction Factor given Minimum Number of Connectors in Bridges?

Reduction Factor given Minimum Number of Connectors in Bridges evaluator uses Reduction Factor = (Slab Force+Force in Slab at Negative Moment Point)/(Ultimate Shear Connector Stress*No of Connector in Bridge) to evaluate the Reduction Factor, The Reduction Factor given Minimum Number of Connectors in Bridges formula is defined as the factor used to reduce the ultimate strength of a member or section in design. Reduction Factor is denoted by Φ symbol.

How to evaluate Reduction Factor given Minimum Number of Connectors in Bridges using this online evaluator? To use this online evaluator for Reduction Factor given Minimum Number of Connectors in Bridges, enter Slab Force (P_{on slab}), Force in Slab at Negative Moment Point (P₃), Ultimate Shear Connector Stress (S_ultimate) & No of Connector in Bridge (N) and hit the calculate button.

FAQs on Reduction Factor given Minimum Number of Connectors in Bridges

What is the formula to find Reduction Factor given Minimum Number of Connectors in Bridges?

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

How to calculate Reduction Factor given Minimum Number of Connectors in Bridges?

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

What are the other ways to Calculate Reduction Factor?

Here are the different ways to Calculate Reduction Factor-

Reduction Factor=Slab Force/(No of Connector in Bridge*Ultimate Shear Connector Stress)

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Reduction Factor given Minimum Number of Connectors in Bridges Formula

​GoReduction Factor given Number of Connectors in Bridges Formula

Reduction Factor given Minimum Number of Connectors in Bridges Example

Reduction Factor given Minimum Number of Connectors in Bridges Solution

Reduction Factor given Minimum Number of Connectors in Bridges Formula Elements

Other Formulas to find Reduction Factor

Other formulas in Number of Connectors in Bridges category

How to Evaluate Reduction Factor given Minimum Number of Connectors in Bridges?

FAQs on Reduction Factor given Minimum Number of Connectors in Bridges

Variable Name

GoReduction Factor given Number of Connectors in Bridges Formula