Minimum Number of Connectors for 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%
✖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.ⓘ Minimum Number of Connectors for Bridges [N]

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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 = (P_{on slab}+P₃)/(Φ*S_ultimate)
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 = (P_{on slab}+P₃)/(Φ*S_ultimate) --> (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)

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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

Minimum Number of Connectors for Bridges Formula

LaTeX Go

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

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 (P_{on slab}), Force in Slab at Negative Moment Point (P₃), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate) 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 = (P_{on slab}+P₃)/(Φ*S_ultimate) 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 (P_{on slab}), Force in Slab at Negative Moment Point (P₃), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate). 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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