Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ultimate Shear Connector Stress = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*No of Connector in Bridge)
Sultimate = (Pon slab+P3)/(Φ*N)
This formula uses 5 Variables
Variables Used
Ultimate Shear Connector Stress - (Measured in Newton) - Ultimate Shear Connector Stress is the maximum strength in shear.
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.
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)
Reduction Factor: 0.85 --> No Conversion Required
No of Connector in Bridge: 15 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sultimate = (Pon slab+P3)/(Φ*N) --> (245000+10000)/(0.85*15)
Evaluating ... ...
Sultimate = 20000
STEP 3: Convert Result to Output's Unit
20000 Newton -->20 Kilonewton (Check conversion here)
FINAL ANSWER
20 Kilonewton <-- Ultimate Shear Connector Stress
(Calculation completed in 00.004 seconds)

Credits

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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

Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges Formula

Ultimate Shear Connector Stress = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*No of Connector in Bridge)
Sultimate = (Pon slab+P3)/(Φ*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 Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges?

Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges calculator uses Ultimate Shear Connector Stress = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*No of Connector in Bridge) to calculate the Ultimate Shear Connector Stress, The Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges formula is defined as the maximum strength at which the connector will fail. Ultimate Shear Connector Stress is denoted by Sultimate symbol.

How to calculate Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges using this online calculator? To use this online calculator for Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges, enter Slab Force (Pon slab), Force in Slab at Negative Moment Point (P3), Reduction Factor (Φ) & No of Connector in Bridge (N) and hit the calculate button. Here is how the Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges calculation can be explained with given input values -> 0.02 = (245000+10000)/(0.85*15).

FAQ

What is Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges?
The Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges formula is defined as the maximum strength at which the connector will fail and is represented as Sultimate = (Pon slab+P3)/(Φ*N) or Ultimate Shear Connector Stress = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*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, Reduction Factor is constant term used as factor for load calculation & No of Connector in Bridge is total number of joints.
How to calculate Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges?
The Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges formula is defined as the maximum strength at which the connector will fail is calculated using Ultimate Shear Connector Stress = (Slab Force+Force in Slab at Negative Moment Point)/(Reduction Factor*No of Connector in Bridge). To calculate Ultimate Shear Connector Strength given Minimum Number of Connectors in Bridges, you need Slab Force (Pon slab), Force in Slab at Negative Moment Point (P3), Reduction Factor (Φ) & 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, Reduction Factor & 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 Ultimate Shear Connector Stress?
In this formula, Ultimate Shear Connector Stress uses Slab Force, Force in Slab at Negative Moment Point, Reduction Factor & No of Connector in Bridge. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Ultimate Shear Connector Stress = Slab Force/(No of Connector in Bridge*Reduction Factor)
  • Ultimate Shear Connector Stress = Slab Force/(No of Connector in Bridge*Reduction Factor)
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