Force in Slab given Number of Connectors in Bridges Calculator

✖No of Connector in Bridge is total number of joints.ⓘ No of Connector in Bridge [N]			+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%

✖Slab Force at maximum positive moments.ⓘ Force in Slab given Number of Connectors in Bridges [P_{on slab}]

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Formula

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Force in Slab given Number of Connectors in Bridges

Formula

`"P"_{"on slab"} = "N"*"Φ"*"S"_{"ultimate"}`

Example

`"255kN"="15.0"*"0.85"*"20.0kN"`

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Force in Slab given Number of Connectors in Bridges Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress
P_{on slab} = N*Φ*S_ultimate
This formula uses 4 Variables

Variables Used

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.
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

No of Connector in Bridge: 15 --> No Conversion Required
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

P_{on slab} = N*Φ*S_ultimate --> 15*0.85*20000

Evaluating ... ...

P_{on slab} = 255000

STEP 3: Convert Result to Output's Unit

255000 Newton -->255 Kilonewton (Check conversion here)

FINAL ANSWER

255 Kilonewton <-- Slab Force

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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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

Force in Slab given Number of Connectors in Bridges Formula

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

What is Slab and its function?

Slabs are the flooring systems of most structures including office, commercial and residential buildings, bridges, sports stadiums and other facilities building. The main functions of slabs are generally to carry gravity forces, such as loads from human weight, goods and furniture, vehicles and so on. In modern structure design particularly for high rise buildings and basement structures, slabs as floor diaphragms help in resisting external lateral actions such as wind, earthquake and lateral earth load.

How to Calculate Force in Slab given Number of Connectors in Bridges?

Force in Slab given Number of Connectors in Bridges calculator uses Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress to calculate the Slab Force, The Force in Slab given Number of Connectors in Bridges formula is defined as the force acting at the point of the maximum positive moment and end supports. Slab Force is denoted by P_{on slab} symbol.

How to calculate Force in Slab given Number of Connectors in Bridges using this online calculator? To use this online calculator for Force in Slab given Number of Connectors in Bridges, enter No of Connector in Bridge (N), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate) and hit the calculate button. Here is how the Force in Slab given Number of Connectors in Bridges calculation can be explained with given input values -> 0.255 = 15*0.85*20000.

FAQ

What is Force in Slab given Number of Connectors in Bridges?

The Force in Slab given Number of Connectors in Bridges formula is defined as the force acting at the point of the maximum positive moment and end supports and is represented as P_{on slab} = N*Φ*S_ultimate or Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress. No of Connector in Bridge is total number of joints, Reduction Factor is constant term used as factor for load calculation & Ultimate Shear Connector Stress is the maximum strength in shear.

How to calculate Force in Slab given Number of Connectors in Bridges?

The Force in Slab given Number of Connectors in Bridges formula is defined as the force acting at the point of the maximum positive moment and end supports is calculated using Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress. To calculate Force in Slab given Number of Connectors in Bridges, you need No of Connector in Bridge (N), Reduction Factor (Φ) & Ultimate Shear Connector Stress (S_ultimate). With our tool, you need to enter the respective value for No of Connector in Bridge, 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 Slab Force?

In this formula, Slab Force uses No of Connector in Bridge, Reduction Factor & Ultimate Shear Connector Stress. We can use 8 other way(s) to calculate the same, which is/are as follows -

Slab Force = Area of Steel Reinforcement*Yield Strength of Steel
Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress-Force in Slab at Negative Moment Point
Slab Force = 0.85*Effective Concrete Area*28 Day Compressive Strength of Concrete
Slab Force = Area of Steel Reinforcement*Yield Strength of Steel
Slab Force = Area of Steel Reinforcement*Yield Strength of Steel
Slab Force = 0.85*Effective Concrete Area*28 Day Compressive Strength of Concrete
Slab Force = No of Connector in Bridge*Reduction Factor*Ultimate Shear Connector Stress-Force in Slab at Negative Moment Point
Slab Force = Area of Steel Reinforcement*Yield Strength of Steel

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