Number of Connectors in Bridges Solution

STEP 0: Pre-Calculation Summary
Formula Used
No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress)
N = Pon slab/(Φ*Sultimate)
This formula uses 4 Variables
Variables Used
No of Connector in Bridge - No of Connector in Bridge is total number of joints.
Slab Force - (Measured in Newton) - Slab Force at maximum positive moments.
Reduction Factor - Reduction Factor is constant term used as factor for load calculation.
Ultimate Shear Connector Stress - (Measured in Newton) - Ultimate Shear Connector Stress is the maximum strength in shear.
STEP 1: Convert Input(s) to Base Unit
Slab Force: 245 Kilonewton --> 245000 Newton (Check conversion here)
Reduction Factor: 0.85 --> No Conversion Required
Ultimate Shear Connector Stress: 20 Kilonewton --> 20000 Newton (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = Pon slab/(Φ*Sultimate) --> 245000/(0.85*20000)
Evaluating ... ...
N = 14.4117647058824
STEP 3: Convert Result to Output's Unit
14.4117647058824 --> No Conversion Required
FINAL ANSWER
14.4117647058824 14.41176 <-- No of Connector in Bridge
(Calculation completed in 00.020 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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18 Number of Connectors in Bridges Calculators

Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges
Go Ultimate Shear Connector Stress = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*No of Connector in Bridge)
Reduction Factor given Minimum Number of Connectors in Bridges
Go Reduction Factor = (Slab Force+Force in Slab at Negative Moment Point)/(Ultimate Shear Connector Stress*No of Connector in Bridge)
Minimum Number of Connectors for Bridges
Go No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress)
Force in Slab at Maximum Negative Moments given Minimum Number of Connectors for Bridges
Go Force in Slab at Negative Moment Point = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress-Slab Force
Force in Slab at Maximum Positive Moments given Minimum Number of Connectors for Bridges
Go Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress-Force in Slab at Negative Moment Point
Ultimate Shear Connector Strength given Number of Connectors in Bridges
Go Ultimate Shear Connector Stress = Slab Force/(No of Connector in Bridge*Reduction Factor)
Reduction Factor given Number of Connectors in Bridges
Go Reduction Factor = Slab Force/(No of Connector in Bridge*Ultimate Shear Connector Stress)
Number of Connectors in Bridges
Go No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress)
Force in Slab given Number of Connectors in Bridges
Go Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress
28-day Compressive Strength of Concrete given Force in Slab
Go 28 Day Compressive Strength of Concrete = Slab Force/(0.85*Effective Concrete Area)
Effective Concrete Area given Force in Slab
Go Effective Concrete Area = Slab Force/(0.85*28 Day Compressive Strength of Concrete)
Force in Slab given Effective Concrete Area
Go Slab Force = 0.85*Effective Concrete Area*28 Day Compressive Strength of Concrete
Area of Longitudinal Reinforcing given Force in Slab at Maximum Negative Moments
Go Area of Steel Reinforcement = Slab Force/Yield Strength of Steel
Force in Slab at Maximum Negative Moments given Reinforcing Steel Yield Strength
Go Slab Force = Area of Steel Reinforcement*Yield Strength of Steel
Reinforcing Steel Yield Strength given Force in Slab at Maximum Negative Moments
Go Yield Strength of Steel = Slab Force/Area of Steel Reinforcement
Steel Yield Strength given Total Area of Steel Section
Go Yield Strength of Steel = Slab Force/Area of Steel Reinforcement
Force in Slab given Total Area of Steel Section
Go Slab Force = Area of Steel Reinforcement*Yield Strength of Steel
Total Area of Steel Section given Force in Slab
Go Area of Steel Reinforcement = Slab Force/Yield Strength of Steel

18 Number of Connectors in Bridges Calculators

Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges
Go Ultimate Shear Connector Stress = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*No of Connector in Bridge)
Reduction Factor given Minimum Number of Connectors in Bridges
Go Reduction Factor = (Slab Force+Force in Slab at Negative Moment Point)/(Ultimate Shear Connector Stress*No of Connector in Bridge)
Minimum Number of Connectors for Bridges
Go No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress)
Force in Slab at Maximum Positive Moments given Minimum Number of Connectors for Bridges
Go Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress-Force in Slab at Negative Moment Point
Force in Slab at Maximum Negative Moments given Minimum Number of Connectors for Bridges
Go Force in Slab at Negative Moment Point = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress-Slab Force
Ultimate Shear Connector Strength given Number of Connectors in Bridges
Go Ultimate Shear Connector Stress = Slab Force/(No of Connector in Bridge*Reduction Factor)
Reduction Factor given Number of Connectors in Bridges
Go Reduction Factor = Slab Force/(No of Connector in Bridge*Ultimate Shear Connector Stress)
Number of Connectors in Bridges
Go No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress)
Force in Slab given Number of Connectors in Bridges
Go Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress
28-day Compressive Strength of Concrete given Force in Slab
Go 28 Day Compressive Strength of Concrete = Slab Force/(0.85*Effective Concrete Area)
Effective Concrete Area given Force in Slab
Go Effective Concrete Area = Slab Force/(0.85*28 Day Compressive Strength of Concrete)
Force in Slab given Effective Concrete Area
Go Slab Force = 0.85*Effective Concrete Area*28 Day Compressive Strength of Concrete
Force in Slab at Maximum Negative Moments given Reinforcing Steel Yield Strength
Go Slab Force = Area of Steel Reinforcement*Yield Strength of Steel
Area of Longitudinal Reinforcing given Force in Slab at Maximum Negative Moments
Go Area of Steel Reinforcement = Slab Force/Yield Strength of Steel
Reinforcing Steel Yield Strength given Force in Slab at Maximum Negative Moments
Go Yield Strength of Steel = Slab Force/Area of Steel Reinforcement
Steel Yield Strength given Total Area of Steel Section
Go Yield Strength of Steel = Slab Force/Area of Steel Reinforcement
Force in Slab given Total Area of Steel Section
Go Slab Force = Area of Steel Reinforcement*Yield Strength of Steel
Total Area of Steel Section given Force in Slab
Go Area of Steel Reinforcement = Slab Force/Yield Strength of Steel

Number of Connectors in Bridges Formula

No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress)
N = Pon slab/(Φ*Sultimate)

What is Shear Connectors in Bridges?

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 Number of Connectors in Bridges?

Number of Connectors in Bridges calculator uses No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress) to calculate 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 calculate Number of Connectors in Bridges using this online calculator? To use this online calculator for Number of Connectors in Bridges, enter Slab Force (Pon slab), Reduction Factor (Φ) & Ultimate Shear Connector Stress (Sultimate) and hit the calculate button. Here is how the Number of Connectors in Bridges calculation can be explained with given input values -> 14.41176 = 245000/(0.85*20000).

FAQ

What is Number of Connectors in Bridges?
The Number of Connectors in Bridges formula is defined as total number of shear connectors based on ultimate shear strength and is represented as N = Pon slab/(Φ*Sultimate) or No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress). Slab Force at maximum positive moments, Reduction Factor is constant term used as factor for load calculation & Ultimate Shear Connector Stress is the maximum strength in shear.
How to calculate Number of Connectors in Bridges?
The Number of Connectors in Bridges formula is defined as total number of shear connectors based on ultimate shear strength is calculated using No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress). To calculate Number of Connectors in Bridges, you need Slab Force (Pon slab), Reduction Factor (Φ) & Ultimate Shear Connector Stress (Sultimate). With our tool, you need to enter the respective value for Slab Force, Reduction Factor & Ultimate Shear Connector Stress 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 No of Connector in Bridge?
In this formula, No of Connector in Bridge uses Slab Force, Reduction Factor & Ultimate Shear Connector Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress)
  • No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress)
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