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*(fc)^(1/2))*d'*bo
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*(fc)^(1/2))*d'*bo --> (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 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut
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Design of Two Way Slab System Calculators

Concrete Shear Strength at Critical Sections
​ LaTeX ​ 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
​ LaTeX ​ Go Punching Shear = Capacity Reduction Factor*(Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)
Maximum Slab thickness
​ LaTeX ​ 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

​LaTeX ​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
V = (2*(fc)^(1/2))*d'*bo

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 (fc), Distance from Compression to Centroid Reinforcment (d') & Perimeter of Critical Section (bo) 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*(fc)^(1/2))*d'*bo 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 (fc), Distance from Compression to Centroid Reinforcment (d') & Perimeter of Critical Section (bo). 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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