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Maximum Shear Strength Formula

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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. Check FAQs

V n = 10 \cdot h \cdot 0.8 \cdot l w \cdot \sqrt{f' c}

V_n - Shear Strength?h - Overall Thickness of Wall?l_w - Horizontal Length of Wall?f'_c - Specified 28-Day Compressive Strength of Concrete?

Maximum Shear Strength Example

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Here is how the Maximum Shear Strength equation looks like with Values.

Here is how the Maximum Shear Strength equation looks like with Units.

Here is how the Maximum Shear Strength equation looks like.

0.0354 = 10 \cdot 200 \cdot 0.8 \cdot 3125 \cdot \sqrt{50}

0.0354MPa = 10 \cdot 200mm \cdot 0.8 \cdot 3125mm \cdot \sqrt{50MPa}

0.0354 = 10 \cdot 200 \cdot 0.8 \cdot 3125 \cdot \sqrt{50}

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Maximum Shear Strength Solution

Follow our step by step solution on how to calculate Maximum Shear Strength?

FIRST Step Consider the formula

V n = 10 \cdot h \cdot 0.8 \cdot l w \cdot \sqrt{f' c}

Next Step Substitute values of Variables

∴

V n = 10 \cdot 200mm \cdot 0.8 \cdot 3125mm \cdot \sqrt{50MPa}

Next Step Convert Units

∴

V n = 10 \cdot 0.2m \cdot 0.8 \cdot 3.125m \cdot \sqrt{5E+7Pa}

Next Step Prepare to Evaluate

∴

V n = 10 \cdot 0.2 \cdot 0.8 \cdot 3.125 \cdot \sqrt{5E+7}

Next Step Evaluate

∴

V n = 35355.3390593274Pa

Next Step Convert to Output's Unit

∴

V n = 0.0353553390593274MPa

LAST Step Rounding Answer

∴

V n = 0.0354MPa

Maximum Shear Strength Formula Elements

Variables

Functions

Shear Strength

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.

Symbol: V_n

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Strength

Overall Thickness of Wall

Overall Thickness of Wall is the wall thickness in millimeters.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Overall Thickness of Wall

Horizontal Length of Wall

Horizontal Length of Wall is the length of a wall in the horizontal direction.

Symbol: l_w

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Horizontal Length of Wall

Specified 28-Day Compressive Strength of Concrete

Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.

Symbol: f'_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Specified 28-Day Compressive Strength of Concrete

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.

Syntax: sqrt(Number)

Other formulas in Shear Walls category

Go Nominal Shear Stress

v u = (\frac{V}{φ \cdot h \cdot d})

Go Total Design Shear Force given Nominal Shear Stress

V = v u \cdot φ \cdot h \cdot d

Go Wall Overall Thickness given Nominal Shear Stress

h = \frac{V}{φ \cdot v u \cdot d}

Go Wall Horizontal Length given Nominal Shear Stress

d = \frac{V}{h \cdot φ \cdot v u}

How to Evaluate Maximum Shear Strength?

Maximum Shear Strength evaluator uses Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete) to evaluate 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 evaluate Maximum Shear Strength using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Shear Strength

What is the formula to find Maximum Shear Strength?

The formula of Maximum Shear Strength is expressed as Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete). Here is an example- 3.5E-8 = 10*0.2*0.8*3.125*sqrt(50000000).

How to calculate Maximum Shear Strength?

With Overall Thickness of Wall (h), Horizontal Length of Wall (l_w) & Specified 28-Day Compressive Strength of Concrete (f'_c) we can find Maximum Shear Strength using the formula - Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete). This formula also uses Square Root (sqrt) function(s).

Can the Maximum Shear Strength be negative?

No, the Maximum Shear Strength, measured in Pressure cannot be negative.

Which unit is used to measure Maximum Shear Strength?

Maximum Shear Strength is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Maximum Shear Strength can be measured.

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Maximum Shear Strength Formula

Maximum Shear Strength Example

Maximum Shear Strength Solution

Maximum Shear Strength Formula Elements

Other formulas in Shear Walls category

How to Evaluate Maximum Shear Strength?

FAQs on Maximum Shear Strength

Variable Name