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Shear carried by Concrete Formula

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Shear carried by Concrete is the amount of shear that the concrete can carry without reinforcement. Check FAQs

V c = 3.3 \cdot \sqrt{f' c} \cdot h \cdot d - (\frac{N u \cdot d}{4 \cdot l w})

V_c - Shear carried by Concrete?f'_c - Specified 28-Day Compressive Strength of Concrete?h - Overall Thickness of Wall?d - Design Horizontal Length?N_u - Design Axial Load?l_w - Horizontal Length of Wall?

Shear carried by Concrete Example

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Here is how the Shear carried by Concrete equation looks like with Values.

Here is how the Shear carried by Concrete equation looks like with Units.

Here is how the Shear carried by Concrete equation looks like.

5.6673 = 3.3 \cdot \sqrt{50} \cdot 200 \cdot 2500 - (\frac{30 \cdot 2500}{4 \cdot 3125})

5.6673N = 3.3 \cdot \sqrt{50MPa} \cdot 200mm \cdot 2500mm - (\frac{30N \cdot 2500mm}{4 \cdot 3125mm})

5.6673 = 3.3 \cdot \sqrt{50} \cdot 200 \cdot 2500 - (\frac{30 \cdot 2500}{4 \cdot 3125})

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Shear carried by Concrete Solution

Follow our step by step solution on how to calculate Shear carried by Concrete?

FIRST Step Consider the formula

V c = 3.3 \cdot \sqrt{f' c} \cdot h \cdot d - (\frac{N u \cdot d}{4 \cdot l w})

Next Step Substitute values of Variables

∴

V c = 3.3 \cdot \sqrt{50MPa} \cdot 200mm \cdot 2500mm - (\frac{30N \cdot 2500mm}{4 \cdot 3125mm})

Next Step Convert Units

∴

V c = 3.3 \cdot \sqrt{50MPa} \cdot 0.2m \cdot 2.5m - (\frac{30N \cdot 2.5m}{4 \cdot 3.125m})

Next Step Prepare to Evaluate

∴

V c = 3.3 \cdot \sqrt{50} \cdot 0.2 \cdot 2.5 - (\frac{30 \cdot 2.5}{4 \cdot 3.125})

Next Step Evaluate

∴

V c = 5.66726188957804N

LAST Step Rounding Answer

∴

V c = 5.6673N

Shear carried by Concrete Formula Elements

Variables

Functions

Shear carried by Concrete

Shear carried by Concrete is the amount of shear that the concrete can carry without reinforcement.

Symbol: V_c

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear carried by Concrete

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

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

Design Horizontal Length

Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.

Symbol: d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Design Horizontal Length

Design Axial Load

Design Axial Load is those that can withstand a force in the same direction as the axis, also known as thrust loading.

Symbol: N_u

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Design Axial Load

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

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 Shear carried by Concrete?

Shear carried by Concrete evaluator uses 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)) to evaluate the Shear carried by Concrete, The Shear carried by Concrete formula is defined as the amount of shear concrete carried depending on whether the design axial load is normal to the wall's horizontal cross-section or perpendicular to the wall's horizontal cross-section. Shear carried by Concrete is denoted by V_c symbol.

How to evaluate Shear carried by Concrete using this online evaluator? To use this online evaluator for Shear carried by Concrete, enter Specified 28-Day Compressive Strength of Concrete (f'_c), Overall Thickness of Wall (h), Design Horizontal Length (d), Design Axial Load (N_u) & Horizontal Length of Wall (l_w) and hit the calculate button.

FAQs on Shear carried by Concrete

What is the formula to find Shear carried by Concrete?

The formula of Shear carried by Concrete is expressed as 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)). Here is an example- 5.667262 = 3.3*sqrt(50000000)*0.2*2.5-((30*2.5)/(4*3.125)).

How to calculate Shear carried by Concrete?

With Specified 28-Day Compressive Strength of Concrete (f'_c), Overall Thickness of Wall (h), Design Horizontal Length (d), Design Axial Load (N_u) & Horizontal Length of Wall (l_w) we can find Shear carried by Concrete using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

Can the Shear carried by Concrete be negative?

Yes, the Shear carried by Concrete, measured in Force can be negative.

Which unit is used to measure Shear carried by Concrete?

Shear carried by Concrete is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Shear carried by Concrete can be measured.

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Shear carried by Concrete Formula

Shear carried by Concrete Example

Shear carried by Concrete Solution

Shear carried by Concrete Formula Elements

Other formulas in Shear Walls category

How to Evaluate Shear carried by Concrete?

FAQs on Shear carried by Concrete

Variable Name