Equation for Punching Shear Design Calculator

✖The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.ⓘ Capacity Reduction Factor [φ]			+10% -10%
✖The Nominal Shear Strength of Concrete is the capacity of the concrete section to resist the effects of load.ⓘ Nominal Shear Strength of Concrete [V_c]			+10% -10%
✖Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.ⓘ Nominal Shear Strength by Reinforcement [V_s]			+10% -10%

✖Punching Shear is a type of failure of reinforced concrete slabs subjected to high localized forces.ⓘ Equation for Punching Shear Design [ϕV_n]

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Formula

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Equation for Punching Shear Design

Formula

`"ϕV"_{"n"} = "φ"*("V"_{"c"}+"V"_{"s"})`

Example

`"161.5MPa"="0.85"*("90MPa"+"100MPa")`

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Equation for Punching Shear Design Solution

STEP 0: Pre-Calculation Summary

Formula Used

Punching Shear = Capacity Reduction Factor*(Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)
ϕV_n = φ*(V_c+V_s)
This formula uses 4 Variables

Variables Used

Punching Shear - (Measured in Pascal) - Punching Shear is a type of failure of reinforced concrete slabs subjected to high localized forces.
Capacity Reduction Factor - The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.
Nominal Shear Strength of Concrete - (Measured in Pascal) - The Nominal Shear Strength of Concrete is the capacity of the concrete section to resist the effects of load.
Nominal Shear Strength by Reinforcement - (Measured in Pascal) - Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.

STEP 1: Convert Input(s) to Base Unit

Capacity Reduction Factor: 0.85 --> No Conversion Required
Nominal Shear Strength of Concrete: 90 Megapascal --> 90000000 Pascal (Check conversion here)
Nominal Shear Strength by Reinforcement: 100 Megapascal --> 100000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕV_n = φ*(V_c+V_s) --> 0.85*(90000000+100000000)

Evaluating ... ...

ϕV_n = 161500000

STEP 3: Convert Result to Output's Unit

161500000 Pascal -->161.5 Megapascal (Check conversion here)

FINAL ANSWER

161.5 Megapascal <-- Punching Shear

(Calculation completed in 00.004 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)

Equation for Punching Shear Design Formula

Punching Shear = Capacity Reduction Factor*(Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)
ϕV_n = φ*(V_c+V_s)

What is Shear?

Shear is the term assigned to the forces that act perpendicular to the longitudinal axis of the structural element.

How to Calculate Equation for Punching Shear Design?

Equation for Punching Shear Design calculator uses Punching Shear = Capacity Reduction Factor*(Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement) to calculate the Punching Shear, The Equation for Punching Shear Design formula is defined as the value of punching shear which is a type of failure of reinforced concrete slabs subjected to high localized forces. Punching Shear is denoted by ϕV_n symbol.

How to calculate Equation for Punching Shear Design using this online calculator? To use this online calculator for Equation for Punching Shear Design, enter Capacity Reduction Factor (φ), Nominal Shear Strength of Concrete (V_c) & Nominal Shear Strength by Reinforcement (V_s) and hit the calculate button. Here is how the Equation for Punching Shear Design calculation can be explained with given input values -> 0.000162 = 0.85*(90000000+100000000).

FAQ

What is Equation for Punching Shear Design?

The Equation for Punching Shear Design formula is defined as the value of punching shear which is a type of failure of reinforced concrete slabs subjected to high localized forces and is represented as ϕV_n = φ*(V_c+V_s) or Punching Shear = Capacity Reduction Factor*(Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement). The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength, The Nominal Shear Strength of Concrete is the capacity of the concrete section to resist the effects of load & Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.

How to calculate Equation for Punching Shear Design?

The Equation for Punching Shear Design formula is defined as the value of punching shear which is a type of failure of reinforced concrete slabs subjected to high localized forces is calculated using Punching Shear = Capacity Reduction Factor*(Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement). To calculate Equation for Punching Shear Design, you need Capacity Reduction Factor (φ), Nominal Shear Strength of Concrete (V_c) & Nominal Shear Strength by Reinforcement (V_s). With our tool, you need to enter the respective value for Capacity Reduction Factor, Nominal Shear Strength of Concrete & Nominal Shear Strength by Reinforcement 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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