Minimum Number of Connectors for Bridges Solution

STEP 0: Pre-Calculation Summary
Formula Used
No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress)
N = (Pon slab+P3)/(Φ*Sultimate)
This formula uses 5 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.
Force in Slab at Negative Moment Point - (Measured in Newton) - Force in Slab at negative moment point is the force where maximum negative occurs.
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)
Force in Slab at Negative Moment Point: 10 Kilonewton --> 10000 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+P3)/(Φ*Sultimate) --> (245000+10000)/(0.85*20000)
Evaluating ... ...
N = 15
STEP 3: Convert Result to Output's Unit
15 --> No Conversion Required
FINAL ANSWER
15 <-- No of Connector in Bridge
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Indian Institute of Technology (IIT), Bombay
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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
Reduction Factor given Number of Connectors in Bridges
Go Reduction Factor = Slab Force/(No of Connector in Bridge*Ultimate Shear Connector Stress)
Ultimate Shear Connector Strength given Number of Connectors in Bridges
Go Ultimate Shear Connector Stress = Slab Force/(No of Connector in Bridge*Reduction Factor)
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
Reduction Factor given Number of Connectors in Bridges
Go Reduction Factor = Slab Force/(No of Connector in Bridge*Ultimate Shear Connector Stress)
Ultimate Shear Connector Strength given Number of Connectors in Bridges
Go Ultimate Shear Connector Stress = Slab Force/(No of Connector in Bridge*Reduction Factor)
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

Minimum Number of Connectors for Bridges Formula

No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress)
N = (Pon slab+P3)/(Φ*Sultimate)

What is Shear Connectors?

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 Minimum Number of Connectors for Bridges?

Minimum Number of Connectors for Bridges calculator uses No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress) to calculate 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 calculate Minimum Number of Connectors for Bridges using this online calculator? To use this online calculator for Minimum Number of Connectors for Bridges, enter Slab Force (Pon slab), Force in Slab at Negative Moment Point (P3), Reduction Factor (Φ) & Ultimate Shear Connector Stress (Sultimate) and hit the calculate button. Here is how the Minimum Number of Connectors for Bridges calculation can be explained with given input values -> 15 = (245000+10000)/(0.85*20000).

FAQ

What is Minimum Number of Connectors for Bridges?
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 and is represented as N = (Pon slab+P3)/(Φ*Sultimate) or No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress). Slab Force at maximum positive moments, Force in Slab at negative moment point is the force where maximum negative occurs, Reduction Factor is constant term used as factor for load calculation & Ultimate Shear Connector Stress is the maximum strength in shear.
How to calculate Minimum Number of Connectors for Bridges?
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 is calculated using No of Connector in Bridge = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*Ultimate Shear Connector Stress). To calculate Minimum Number of Connectors for Bridges, you need Slab Force (Pon slab), Force in Slab at Negative Moment Point (P3), Reduction Factor (Φ) & Ultimate Shear Connector Stress (Sultimate). With our tool, you need to enter the respective value for Slab Force, Force in Slab at Negative Moment Point, 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, Force in Slab at Negative Moment Point, 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/(Reduction Factor*Ultimate Shear Connector Stress)
  • No of Connector in Bridge = Slab Force/(Reduction Factor*Ultimate Shear Connector Stress)
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