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Concrete Strength given Shear Force Formula

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

f' c = {((\frac{1}{3.3 \cdot d \cdot h}) \cdot (V c + (\frac{N u \cdot d}{4 \cdot l w})))}^{2}

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

Concrete Strength given Shear Force Example

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Here is how the Concrete Strength given Shear Force equation looks like with Values.

Here is how the Concrete Strength given Shear Force equation looks like with Units.

Here is how the Concrete Strength given Shear Force equation looks like.

52.8926 = {((\frac{1}{3.3 \cdot 2500 \cdot 200}) \cdot (6 + (\frac{30 \cdot 2500}{4 \cdot 3125})))}^{2}

52.8926MPa = {((\frac{1}{3.3 \cdot 2500mm \cdot 200mm}) \cdot (6N + (\frac{30N \cdot 2500mm}{4 \cdot 3125mm})))}^{2}

52.8926 = {((\frac{1}{3.3 \cdot 2500 \cdot 200}) \cdot (6 + (\frac{30 \cdot 2500}{4 \cdot 3125})))}^{2}

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Concrete Strength given Shear Force Solution

Follow our step by step solution on how to calculate Concrete Strength given Shear Force?

FIRST Step Consider the formula

f' c = {((\frac{1}{3.3 \cdot d \cdot h}) \cdot (V c + (\frac{N u \cdot d}{4 \cdot l w})))}^{2}

Next Step Substitute values of Variables

∴

f' c = {((\frac{1}{3.3 \cdot 2500mm \cdot 200mm}) \cdot (6N + (\frac{30N \cdot 2500mm}{4 \cdot 3125mm})))}^{2}

Next Step Convert Units

∴

f' c = {((\frac{1}{3.3 \cdot 2.5m \cdot 0.2m}) \cdot (6N + (\frac{30N \cdot 2.5m}{4 \cdot 3.125m})))}^{2}

Next Step Prepare to Evaluate

∴

f' c = {((\frac{1}{3.3 \cdot 2.5 \cdot 0.2}) \cdot (6 + (\frac{30 \cdot 2.5}{4 \cdot 3.125})))}^{2}

Next Step Evaluate

∴

f' c = 52892561.9834711Pa

Next Step Convert to Output's Unit

∴

f' c = 52.892561983471MPa

LAST Step Rounding Answer

∴

f' c = 52.8926MPa

Concrete Strength given Shear Force Formula Elements

Variables

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

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

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

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

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

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 Concrete Strength given Shear Force?

Concrete Strength given Shear Force evaluator uses 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 to evaluate the Specified 28-Day Compressive Strength of Concrete, The Concrete Strength given Shear Force formula is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall. Specified 28-Day Compressive Strength of Concrete is denoted by f'_c symbol.

How to evaluate Concrete Strength given Shear Force using this online evaluator? To use this online evaluator for Concrete Strength given Shear Force, enter Design Horizontal Length (d), Overall Thickness of Wall (h), Shear carried by Concrete (V_c), Design Axial Load (N_u) & Horizontal Length of Wall (l_w) and hit the calculate button.

FAQs on Concrete Strength given Shear Force

What is the formula to find Concrete Strength given Shear Force?

The formula of Concrete Strength given Shear Force is expressed as 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. Here is an example- 5.3E-5 = ((1/(3.3*2.5*0.2))*(6+((30*2.5)/(4*3.125))))^2.

How to calculate Concrete Strength given Shear Force?

With Design Horizontal Length (d), Overall Thickness of Wall (h), Shear carried by Concrete (V_c), Design Axial Load (N_u) & Horizontal Length of Wall (l_w) we can find Concrete Strength given Shear Force using the formula - 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.

Can the Concrete Strength given Shear Force be negative?

No, the Concrete Strength given Shear Force, measured in Stress cannot be negative.

Which unit is used to measure Concrete Strength given Shear Force?

Concrete Strength given Shear Force is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Concrete Strength given Shear Force can be measured.

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Concrete Strength given Shear Force Formula

Concrete Strength given Shear Force Example

Concrete Strength given Shear Force Solution

Concrete Strength given Shear Force Formula Elements

Other formulas in Shear Walls category

How to Evaluate Concrete Strength given Shear Force?

FAQs on Concrete Strength given Shear Force

Variable Name