Maximum Shear Strength Calculator

✖Overall Thickness of Wall is the wall thickness in millimeters.ⓘ Overall Thickness of Wall [h]			+10% -10%
✖Horizontal Length of Wall is the length of a wall in the horizontal direction.ⓘ Horizontal Length of Wall [l_w]			+10% -10%
✖Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.ⓘ Specified 28-Day Compressive Strength of Concrete [f'_c]			+10% -10%

✖Shear Strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear.ⓘ Maximum Shear Strength [V_n]

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Formula

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Maximum Shear Strength

Formula

`"V"_{"n"} = 10*"h"*0.8*"l"_{"w"}*sqrt("f'"_{"c"})`

Example

`"0.035355MPa"=10*"200mm"*0.8*"3125mm"*sqrt("50MPa")`

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Maximum Shear Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete)
V_n = 10*h*0.8*l_w*sqrt(f'_c)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Shear Strength - (Measured in Pascal) - Shear Strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear.
Overall Thickness of Wall - (Measured in Meter) - Overall Thickness of Wall is the wall thickness in millimeters.
Horizontal Length of Wall - (Measured in Meter) - Horizontal Length of Wall is the length of a wall in the horizontal direction.
Specified 28-Day Compressive Strength of Concrete - (Measured in Pascal) - Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.

STEP 1: Convert Input(s) to Base Unit

Overall Thickness of Wall: 200 Millimeter --> 0.2 Meter (Check conversion here)
Horizontal Length of Wall: 3125 Millimeter --> 3.125 Meter (Check conversion here)
Specified 28-Day Compressive Strength of Concrete: 50 Megapascal --> 50000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_n = 10*h*0.8*l_w*sqrt(f'_c) --> 10*0.2*0.8*3.125*sqrt(50000000)

Evaluating ... ...

V_n = 35355.3390593274

STEP 3: Convert Result to Output's Unit

35355.3390593274 Pascal -->0.0353553390593274 Megapascal (Check conversion here)

FINAL ANSWER

0.0353553390593274 ≈ 0.035355 Megapascal <-- Shear Strength

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Concrete Formulas » Frames and Flat Plate » Braced and Unbraced Frames » Shear Walls » Maximum Shear Strength

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 8 Shear Walls Calculators

Shear carried by Concrete

Go Shear carried by Concrete = 3.3*sqrt(Specified 28-Day Compressive Strength of Concrete)*Overall Thickness of Wall*Design Horizontal Length-((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall))

Concrete Strength given Shear Force

Go Specified 28-Day Compressive Strength of Concrete = ((1/(3.3*Design Horizontal Length*Overall Thickness of Wall))*(Shear carried by Concrete+((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall))))^2

Maximum Shear Strength

Go Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete)

Nominal Shear Stress

Go Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length))

Wall Overall Thickness given Nominal Shear Stress

Go Overall Thickness of Wall = Total Shear/(Capacity Reduction Factor*Nominal Shear Stress*Design Horizontal Length)

Wall Horizontal Length given Nominal Shear Stress

Go Design Horizontal Length = Total Shear/(Overall Thickness of Wall*Capacity Reduction Factor*Nominal Shear Stress)

Total Design Shear Force given Nominal Shear Stress

Go Total Shear = Nominal Shear Stress*Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length

Minimum Horizontal Reinforcement

Go Horizontal Reinforcement = 0.0025+0.5*(2.5-(Total Height of Wall/Horizontal Length of Wall))

Maximum Shear Strength Formula

Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete)
V_n = 10*h*0.8*l_w*sqrt(f'_c)

What is Shear Strength?

In engineering, shear strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.

What is Characteristics Compressive Strength?

The characteristic strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall. For design purposes, this compressive strength value is restricted by dividing with a factor of safety, whose value depends on the design philosophy used.

How to Calculate Maximum Shear Strength?

Maximum Shear Strength calculator uses Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete) to calculate the Shear Strength, The Maximum Shear Strength formula is defined the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. Shear Strength is denoted by V_n symbol.

How to calculate Maximum Shear Strength using this online calculator? To use this online calculator for Maximum Shear Strength, enter Overall Thickness of Wall (h), Horizontal Length of Wall (l_w) & Specified 28-Day Compressive Strength of Concrete (f'_c) and hit the calculate button. Here is how the Maximum Shear Strength calculation can be explained with given input values -> 3.5E-8 = 10*0.2*0.8*3.125*sqrt(50000000).

FAQ

What is Maximum Shear Strength?

The Maximum Shear Strength formula is defined the strength of a material or component against the type of yield or structural failure when the material or component fails in shear and is represented as V_n = 10*h*0.8*l_w*sqrt(f'_c) or Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete). Overall Thickness of Wall is the wall thickness in millimeters, Horizontal Length of Wall is the length of a wall in the horizontal direction & Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.

How to calculate Maximum Shear Strength?

The Maximum Shear Strength formula is defined the strength of a material or component against the type of yield or structural failure when the material or component fails in shear is calculated using Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete). To calculate Maximum Shear Strength, you need Overall Thickness of Wall (h), Horizontal Length of Wall (l_w) & Specified 28-Day Compressive Strength of Concrete (f'_c). With our tool, you need to enter the respective value for Overall Thickness of Wall, Horizontal Length of Wall & Specified 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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