Reduction Factor given Minimum Number of Connectors in Bridges Calculator

✖Slab Force at maximum positive moments.ⓘ Slab Force [P_{on slab}]			+10% -10%
✖Force in Slab at negative moment point is the force where maximum negative occurs.ⓘ Force in Slab at Negative Moment Point [P₃]			+10% -10%
✖Ultimate Shear Connector Stress is the maximum strength in shear.ⓘ Ultimate Shear Connector Stress [S_ultimate]			+10% -10%
✖No of Connector in Bridge is total number of joints.ⓘ No of Connector in Bridge [N]			+10% -10%

✖Reduction Factor is constant term used as factor for load calculation.ⓘ Reduction Factor given Minimum Number of Connectors in Bridges [Φ]

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Reduction Factor given Minimum Number of Connectors in Bridges Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduction Factor = (Slab Force+Force in Slab at Negative Moment Point)/(Ultimate Shear Connector Stress*No of Connector in Bridge)
Φ = (P_{on slab}+P₃)/(S_ultimate*N)
This formula uses 5 Variables

Variables Used

Reduction Factor - Reduction Factor is constant term used as factor for load calculation.
Slab Force - (Measured in Newton) - Slab Force at maximum positive moments.
Force in Slab at Negative Moment Point - (Measured in Newton) - Force in Slab at negative moment point is the force where maximum negative occurs.
Ultimate Shear Connector Stress - (Measured in Newton) - Ultimate Shear Connector Stress is the maximum strength in shear.
No of Connector in Bridge - No of Connector in Bridge is total number of joints.

STEP 1: Convert Input(s) to Base Unit

Slab Force: 245 Kilonewton --> 245000 Newton (Check conversion here)
Force in Slab at Negative Moment Point: 10 Kilonewton --> 10000 Newton (Check conversion here)
Ultimate Shear Connector Stress: 20 Kilonewton --> 20000 Newton (Check conversion here)
No of Connector in Bridge: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = (P_{on slab}+P₃)/(S_ultimate*N) --> (245000+10000)/(20000*15)

Evaluating ... ...

Φ = 0.85

STEP 3: Convert Result to Output's Unit

0.85 --> No Conversion Required

FINAL ANSWER

0.85 <-- Reduction Factor

(Calculation completed in 00.004 seconds)

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< Number of Connectors in Bridges Calculators

Force in Slab at Maximum Negative Moments given Minimum Number of Connectors for Bridges

LaTeX Go Force in Slab at Negative Moment Point = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress-Slab Force

28-day Compressive Strength of Concrete given Force in Slab

LaTeX Go 28 Day Compressive Strength of Concrete = Slab Force/(0.85*Effective Concrete Area)

Effective Concrete Area given Force in Slab

LaTeX Go Effective Concrete Area = Slab Force/(0.85*28 Day Compressive Strength of Concrete)

Area of Longitudinal Reinforcing given Force in Slab at Maximum Negative Moments

LaTeX Go Area of Steel Reinforcement = Slab Force/Yield Strength of Steel

< Number of Connectors in Bridges Calculators

Ultimate Shear Connector Strength given Number of Connectors in Bridges

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

Reduction Factor given Number of Connectors in Bridges

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

Number of Connectors in Bridges

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

Force in Slab given Number of Connectors in Bridges

LaTeX Go Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress

Reduction Factor given Minimum Number of Connectors in Bridges Formula

LaTeX Go

Reduction Factor = (Slab Force+Force in Slab at Negative Moment Point)/(Ultimate Shear Connector Stress*No of Connector in Bridge)
Φ = (P_{on slab}+P₃)/(S_ultimate*N)

What is Shear Connector?

A Shear connector is a steel projection provided on the top flange of steel composite bridge girders to provide necessary shear transfer between the steel girder and composite slab to enable composite action. The most widely used form of shear connector is the headed stud, or shear stud.

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

Reduction Factor given Minimum Number of Connectors in Bridges calculator uses Reduction Factor = (Slab Force+Force in Slab at Negative Moment Point)/(Ultimate Shear Connector Stress*No of Connector in Bridge) to calculate 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 calculate Reduction Factor given Minimum Number of Connectors in Bridges using this online calculator? To use this online calculator 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. Here is how the Reduction Factor given Minimum Number of Connectors in Bridges calculation can be explained with given input values -> 0.85 = (245000+10000)/(20000*15).

FAQ

What is Reduction Factor given Minimum Number of Connectors in Bridges?

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 and is represented as Φ = (P_{on slab}+P₃)/(S_ultimate*N) or Reduction Factor = (Slab Force+Force in Slab at Negative Moment Point)/(Ultimate Shear Connector Stress*No of Connector in Bridge). Slab Force at maximum positive moments, Force in Slab at negative moment point is the force where maximum negative occurs, Ultimate Shear Connector Stress is the maximum strength in shear & No of Connector in Bridge is total number of joints.

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

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 is calculated using Reduction Factor = (Slab Force+Force in Slab at Negative Moment Point)/(Ultimate Shear Connector Stress*No of Connector in Bridge). To calculate Reduction Factor given Minimum Number of Connectors in Bridges, you need 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). With our tool, you need to enter the respective value for Slab Force, Force in Slab at Negative Moment Point, Ultimate Shear Connector Stress & No of Connector in Bridge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Reduction Factor?

In this formula, Reduction Factor uses Slab Force, Force in Slab at Negative Moment Point, Ultimate Shear Connector Stress & No of Connector in Bridge. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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