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Actual Area of Effective Concrete Flange given Total Horizontal Shear Formula

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Actual Area of Effective Concrete Flange is the equivalent area of the flange section in terms of concrete. Check FAQs

A c = \frac{2 \cdot V h}{0.85 \cdot f c}

A_c - Actual Area of Effective Concrete Flange?V_h - Total Horizontal Shear?f_c - 28-Day Compressive Strength of Concrete?

Actual Area of Effective Concrete Flange given Total Horizontal Shear Example

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Here is how the Actual Area of Effective Concrete Flange given Total Horizontal Shear equation looks like with Values.

Here is how the Actual Area of Effective Concrete Flange given Total Horizontal Shear equation looks like with Units.

Here is how the Actual Area of Effective Concrete Flange given Total Horizontal Shear equation looks like.

200000 = \frac{2 \cdot 4207.5}{0.85 \cdot 49.5}

200000mm² = \frac{2 \cdot 4207.5kN}{0.85 \cdot 49.5MPa}

200000 = \frac{2 \cdot 4207.5}{0.85 \cdot 49.5}

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Actual Area of Effective Concrete Flange given Total Horizontal Shear Solution

Follow our step by step solution on how to calculate Actual Area of Effective Concrete Flange given Total Horizontal Shear?

FIRST Step Consider the formula

A c = \frac{2 \cdot V h}{0.85 \cdot f c}

Next Step Substitute values of Variables

∴

A c = \frac{2 \cdot 4207.5kN}{0.85 \cdot 49.5MPa}

Next Step Convert Units

∴

A c = \frac{2 \cdot 4.2E+6N}{0.85 \cdot 5E+7Pa}

Next Step Prepare to Evaluate

∴

A c = \frac{2 \cdot 4.2E+6}{0.85 \cdot 5E+7}

Next Step Evaluate

∴

A c = 0.2m²

LAST Step Convert to Output's Unit

∴

A c = 200000mm²

Actual Area of Effective Concrete Flange given Total Horizontal Shear Formula Elements

Variables

Actual Area of Effective Concrete Flange

Actual Area of Effective Concrete Flange is the equivalent area of the flange section in terms of concrete.

Symbol: A_c

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Actual Area of Effective Concrete Flange

Total Horizontal Shear

Total Horizontal Shear is the shear force between the maximum positive moment at each end of steel beams or between the point of contra flexure in a continuous beam.

Symbol: V_h

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Total Horizontal Shear

28-Day Compressive Strength of Concrete

28-Day Compressive Strength of Concrete is a common measure of the concrete’s ability to withstand an applied load determined by casting concrete in a mould, curing for 28 days & testing in a CTM.

Symbol: f_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find 28-Day Compressive Strength of Concrete

Other formulas in Shear on Connectors category

Go Total Horizontal Shear

V h = \frac{0.85 \cdot f c \cdot A c}{2}

Go Specified Compressive Strength of Concrete given Total Horizontal Shear

f c = \frac{2 \cdot V h}{0.85 \cdot A c}

Go Total Horizontal Shear to be Resisted by Shear Connectors

V h = \frac{A s \cdot F y}{2}

Go Area of Steel Beam given Total Horizontal Shear to be Resisted by Shear Connectors

A s = \frac{2 \cdot V h}{F y}

How to Evaluate Actual Area of Effective Concrete Flange given Total Horizontal Shear?

Actual Area of Effective Concrete Flange given Total Horizontal Shear evaluator uses Actual Area of Effective Concrete Flange = (2*Total Horizontal Shear)/(0.85*28-Day Compressive Strength of Concrete) to evaluate the Actual Area of Effective Concrete Flange, The Actual Area of Effective Concrete Flange given Total Horizontal Shear formula is defined as the area of a flange of the structural member in terms of concrete. Actual Area of Effective Concrete Flange is denoted by A_c symbol.

How to evaluate Actual Area of Effective Concrete Flange given Total Horizontal Shear using this online evaluator? To use this online evaluator for Actual Area of Effective Concrete Flange given Total Horizontal Shear, enter Total Horizontal Shear (V_h) & 28-Day Compressive Strength of Concrete (f_c) and hit the calculate button.

FAQs on Actual Area of Effective Concrete Flange given Total Horizontal Shear

What is the formula to find Actual Area of Effective Concrete Flange given Total Horizontal Shear?

The formula of Actual Area of Effective Concrete Flange given Total Horizontal Shear is expressed as Actual Area of Effective Concrete Flange = (2*Total Horizontal Shear)/(0.85*28-Day Compressive Strength of Concrete). Here is an example- 2E+8 = (2*4207.5)/(0.85*49500000).

How to calculate Actual Area of Effective Concrete Flange given Total Horizontal Shear?

With Total Horizontal Shear (V_h) & 28-Day Compressive Strength of Concrete (f_c) we can find Actual Area of Effective Concrete Flange given Total Horizontal Shear using the formula - Actual Area of Effective Concrete Flange = (2*Total Horizontal Shear)/(0.85*28-Day Compressive Strength of Concrete).

Can the Actual Area of Effective Concrete Flange given Total Horizontal Shear be negative?

No, the Actual Area of Effective Concrete Flange given Total Horizontal Shear, measured in Area cannot be negative.

Which unit is used to measure Actual Area of Effective Concrete Flange given Total Horizontal Shear?

Actual Area of Effective Concrete Flange given Total Horizontal Shear is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Actual Area of Effective Concrete Flange given Total Horizontal Shear can be measured.

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