Number of Connectors in Bridges Calculator

✖Slab Force at maximum positive moments.ⓘ Slab Force [P_{on slab}]			+10% -10%
✖Reduction Factor is constant term used as factor for load calculation.ⓘ Reduction Factor [Φ]			+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.ⓘ Number of Connectors in Bridges [N]

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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 = P_{on slab}/(Φ*S_ultimate)
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 = P_{on slab}/(Φ*S_ultimate) --> 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 00.006 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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

Number of Connectors in Bridges Formula

LaTeX Go

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

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 (P_{on slab}), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate) 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 = P_{on slab}/(Φ*S_ultimate) 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 (P_{on slab}), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate). 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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