Reduction Factor given Number of Connectors in Bridges Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduction Factor = Slab Force/(No of Connector in Bridge*Ultimate Shear Connector Stress)
Φ = Pon slab/(N*Sultimate)
This formula uses 4 Variables
Variables Used
Reduction Factor - Reduction Factor is constant term used as factor for load calculation.
Slab Force - (Measured in Newton) - Slab Force at maximum positive moments.
No of Connector in Bridge - No of Connector in Bridge is total number of joints.
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)
No of Connector in Bridge: 15 --> No Conversion Required
Ultimate Shear Connector Stress: 20 Kilonewton --> 20000 Newton (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φ = Pon slab/(N*Sultimate) --> 245000/(15*20000)
Evaluating ... ...
Φ = 0.816666666666667
STEP 3: Convert Result to Output's Unit
0.816666666666667 --> No Conversion Required
FINAL ANSWER
0.816666666666667 0.816667 <-- Reduction Factor
(Calculation completed in 00.004 seconds)

Credits

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

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​ LaTeX ​ Go Force in Slab at Negative Moment Point = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress-Slab Force
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​ 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

Reduction Factor given Number of Connectors in Bridges Formula

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

Why is Reduction Factor is used?

The strength reduction factor is used to decrease the estimated strength of structural members, i.e., to compute the design strength of concrete elements. It is used to account for uncertainties in materials, possible design, and construction errors.

How to Calculate Reduction Factor given Number of Connectors in Bridges?

Reduction Factor given Number of Connectors in Bridges calculator uses Reduction Factor = Slab Force/(No of Connector in Bridge*Ultimate Shear Connector Stress) to calculate the Reduction Factor, The Reduction Factor given Number of Connectors in Bridges formula is defined as ratio ultimate strength to that of working or actual load on the slab. Reduction Factor is denoted by Φ symbol.

How to calculate Reduction Factor given Number of Connectors in Bridges using this online calculator? To use this online calculator for Reduction Factor given Number of Connectors in Bridges, enter Slab Force (Pon slab), No of Connector in Bridge (N) & Ultimate Shear Connector Stress (Sultimate) and hit the calculate button. Here is how the Reduction Factor given Number of Connectors in Bridges calculation can be explained with given input values -> 0.816667 = 245000/(15*20000).

FAQ

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