Effective Concrete Area given Force in Slab Calculator

✖Slab Force at maximum positive moments.ⓘ Slab Force [P_{on slab}]			+10% -10%
✖28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.ⓘ 28 Day Compressive Strength of Concrete [f_c]			+10% -10%

✖The effective concrete area is the total area of concrete enclosed with the steel reinforcement in the tension zone.ⓘ Effective Concrete Area given Force in Slab [A_concrete]

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Formula

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Effective Concrete Area given Force in Slab

Formula

`"A"_{"concrete"} = "P"_{"on slab"}/(0.85*"f"_{"c"})`

Example

`"19215.69mm²"="245kN"/(0.85*"15MPa")`

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Effective Concrete Area given Force in Slab Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Concrete Area = Slab Force/(0.85*28 Day Compressive Strength of Concrete)
A_concrete = P_{on slab}/(0.85*f_c)
This formula uses 3 Variables

Variables Used

Effective Concrete Area - (Measured in Square Meter) - The effective concrete area is the total area of concrete enclosed with the steel reinforcement in the tension zone.
Slab Force - (Measured in Newton) - Slab Force at maximum positive moments.
28 Day Compressive Strength of Concrete - (Measured in Pascal) - 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

STEP 1: Convert Input(s) to Base Unit

Slab Force: 245 Kilonewton --> 245000 Newton (Check conversion here)
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_concrete = P_{on slab}/(0.85*f_c) --> 245000/(0.85*15000000)

Evaluating ... ...

A_concrete = 0.0192156862745098

STEP 3: Convert Result to Output's Unit

0.0192156862745098 Square Meter -->19215.6862745098 Square Millimeter (Check conversion here)

FINAL ANSWER

19215.6862745098 ≈ 19215.69 Square Millimeter <-- Effective Concrete Area

(Calculation completed in 00.004 seconds)

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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

Effective Concrete Area given Force in Slab Formula

Effective Concrete Area = Slab Force/(0.85*28 Day Compressive Strength of Concrete)
A_concrete = P_{on slab}/(0.85*f_c)

What is Concrete?

Concrete is a composite material composed of fine and coarse aggregate bonded together with a fluid cement (cement paste) that hardens (cures) over time. In the past, lime based cement binders, such as lime putty, were often used but sometimes with other hydraulic cements, such as a calcium aluminate cement or with Portland cement to form Portland cement concrete (named for its visual resemblance to Portland stone)

How to Calculate Effective Concrete Area given Force in Slab?

Effective Concrete Area given Force in Slab calculator uses Effective Concrete Area = Slab Force/(0.85*28 Day Compressive Strength of Concrete) to calculate the Effective Concrete Area, The Effective Concrete Area given Force in Slab formula is defined as the amount of concrete surface area required to carry a defined load on the slab. Effective Concrete Area is denoted by A_concrete symbol.

How to calculate Effective Concrete Area given Force in Slab using this online calculator? To use this online calculator for Effective Concrete Area given Force in Slab, enter Slab Force (P_{on slab}) & 28 Day Compressive Strength of Concrete (f_c) and hit the calculate button. Here is how the Effective Concrete Area given Force in Slab calculation can be explained with given input values -> 1.9E+10 = 245000/(0.85*15000000).

FAQ

What is Effective Concrete Area given Force in Slab?

The Effective Concrete Area given Force in Slab formula is defined as the amount of concrete surface area required to carry a defined load on the slab and is represented as A_concrete = P_{on slab}/(0.85*f_c) or Effective Concrete Area = Slab Force/(0.85*28 Day Compressive Strength of Concrete). Slab Force at maximum positive moments & 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

How to calculate Effective Concrete Area given Force in Slab?

The Effective Concrete Area given Force in Slab formula is defined as the amount of concrete surface area required to carry a defined load on the slab is calculated using Effective Concrete Area = Slab Force/(0.85*28 Day Compressive Strength of Concrete). To calculate Effective Concrete Area given Force in Slab, you need Slab Force (P_{on slab}) & 28 Day Compressive Strength of Concrete (f_c). With our tool, you need to enter the respective value for Slab Force & 28 Day Compressive Strength of Concrete and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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