Concrete Shear Strength at Critical Sections Calculator

✖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%
✖Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).ⓘ Distance from Compression to Centroid Reinforcment [d']			+10% -10%
✖Perimeter of Critical Section is the distance around the critical section considered. It can be found by adding the length of the section.ⓘ Perimeter of Critical Section [b_o]			+10% -10%

✖Shear Strength of Concrete at Critical Section is the strength of concrete at the critical section where it fails in shear.ⓘ Concrete Shear Strength at Critical Sections [V]

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Formula

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Concrete Shear Strength at Critical Sections

Formula

`"V" = (2*("f"_{"c"})^(1/2))*"d'"*"b"_{"o"}`

Example

`"41.82822Pa"=(2*("15MPa")^(1/2))*"10mm"*"0.54m"`

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Concrete Shear Strength at Critical Sections Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strength of Concrete at Critical Section = (2*(28 Day Compressive Strength of Concrete)^(1/2))*Distance from Compression to Centroid Reinforcment*Perimeter of Critical Section
V = (2*(f_c)^(1/2))*d'*b_o
This formula uses 4 Variables

Variables Used

Shear Strength of Concrete at Critical Section - (Measured in Pascal) - Shear Strength of Concrete at Critical Section is the strength of concrete at the critical section where it fails in shear.
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.
Distance from Compression to Centroid Reinforcment - (Measured in Meter) - Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).
Perimeter of Critical Section - (Measured in Meter) - Perimeter of Critical Section is the distance around the critical section considered. It can be found by adding the length of the section.

STEP 1: Convert Input(s) to Base Unit

28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Distance from Compression to Centroid Reinforcment: 10 Millimeter --> 0.01 Meter (Check conversion here)
Perimeter of Critical Section: 0.54 Meter --> 0.54 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (2*(f_c)^(1/2))*d'*b_o --> (2*(15000000)^(1/2))*0.01*0.54

Evaluating ... ...

V = 41.8282201390401

STEP 3: Convert Result to Output's Unit

41.8282201390401 Pascal --> No Conversion Required

FINAL ANSWER

41.8282201390401 ≈ 41.82822 Pascal <-- Shear Strength of Concrete at Critical Section

(Calculation completed in 00.005 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Design of Two Way Slab System Calculators

Concrete Shear Strength at Critical Sections

Go Shear Strength of Concrete at Critical Section = (2*(28 Day Compressive Strength of Concrete)^(1/2))*Distance from Compression to Centroid Reinforcment*Perimeter of Critical Section

Equation for Punching Shear Design

Go Punching Shear = Capacity Reduction Factor*(Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)

Maximum Slab thickness

Go Maximum Slab Thickness = (Length of Clear Span in Long Direction/36)*(0.8+Yield Strength of Steel/200000)

Concrete Shear Strength at Critical Sections Formula

What is Shear Strength?

Shear strength is the strength of material against the type of steel or structural failure when the material fails in shear.

How to Calculate Concrete Shear Strength at Critical Sections?

Concrete Shear Strength at Critical Sections calculator uses Shear Strength of Concrete at Critical Section = (2*(28 Day Compressive Strength of Concrete)^(1/2))*Distance from Compression to Centroid Reinforcment*Perimeter of Critical Section to calculate the Shear Strength of Concrete at Critical Section, The Concrete Shear Strength at Critical Sections formula is defined as the shear strength of concrete at critical sections when it fails in shear. Shear Strength of Concrete at Critical Section is denoted by V symbol.

How to calculate Concrete Shear Strength at Critical Sections using this online calculator? To use this online calculator for Concrete Shear Strength at Critical Sections, enter 28 Day Compressive Strength of Concrete (f_c), Distance from Compression to Centroid Reinforcment (d') & Perimeter of Critical Section (b_o) and hit the calculate button. Here is how the Concrete Shear Strength at Critical Sections calculation can be explained with given input values -> 41.82822 = (2*(15000000)^(1/2))*0.01*0.54.

FAQ

What is Concrete Shear Strength at Critical Sections?

The Concrete Shear Strength at Critical Sections formula is defined as the shear strength of concrete at critical sections when it fails in shear and is represented as V = (2*(f_c)^(1/2))*d'*b_o or Shear Strength of Concrete at Critical Section = (2*(28 Day Compressive Strength of Concrete)^(1/2))*Distance from Compression to Centroid Reinforcment*Perimeter of Critical Section. 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it, Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm) & Perimeter of Critical Section is the distance around the critical section considered. It can be found by adding the length of the section.

How to calculate Concrete Shear Strength at Critical Sections?

The Concrete Shear Strength at Critical Sections formula is defined as the shear strength of concrete at critical sections when it fails in shear is calculated using Shear Strength of Concrete at Critical Section = (2*(28 Day Compressive Strength of Concrete)^(1/2))*Distance from Compression to Centroid Reinforcment*Perimeter of Critical Section. To calculate Concrete Shear Strength at Critical Sections, you need 28 Day Compressive Strength of Concrete (f_c), Distance from Compression to Centroid Reinforcment (d') & Perimeter of Critical Section (b_o). With our tool, you need to enter the respective value for 28 Day Compressive Strength of Concrete, Distance from Compression to Centroid Reinforcment & Perimeter of Critical Section 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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