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Shear Reinforcement Area Formula

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Shear Reinforcement Area is designed to resist shear forces in excess of the shear strength of concrete. Check FAQs

A v = \frac{50 \cdot b w \cdot s}{f y}

A_v - Shear Reinforcement Area?b_w - Width of Beam Web?s - Stirrup Spacing?f_y - Yield Strength of Steel?

Shear Reinforcement Area Example

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With units

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Here is how the Shear Reinforcement Area equation looks like with Values.

Here is how the Shear Reinforcement Area equation looks like with Units.

Here is how the Shear Reinforcement Area equation looks like.

501.0011 = \frac{50 \cdot 50.0001 \cdot 50.1}{250}

501.0011mm² = \frac{50 \cdot 50.0001mm \cdot 50.1mm}{250MPa}

501.0011 = \frac{50 \cdot 50.0001 \cdot 50.1}{250}

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Shear Reinforcement Area Solution

Follow our step by step solution on how to calculate Shear Reinforcement Area?

FIRST Step Consider the formula

A v = \frac{50 \cdot b w \cdot s}{f y}

Next Step Substitute values of Variables

∴

A v = \frac{50 \cdot 50.0001mm \cdot 50.1mm}{250MPa}

Next Step Convert Units

∴

A v = \frac{50 \cdot 0.05m \cdot 0.0501m}{250N/mm²}

Next Step Prepare to Evaluate

∴

A v = \frac{50 \cdot 0.05 \cdot 0.0501}{250}

Next Step Evaluate

∴

A v = 0.0005010011022m²

Next Step Convert to Output's Unit

∴

A v = 501.0011022mm²

LAST Step Rounding Answer

∴

A v = 501.0011mm²

Shear Reinforcement Area Formula Elements

Variables

Shear Reinforcement Area

Shear Reinforcement Area is designed to resist shear forces in excess of the shear strength of concrete.

Symbol: A_v

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Shear Reinforcement Area

Width of Beam Web

Width of Beam Web is the distance between the two external points of beam web section.

Symbol: b_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam Web

Stirrup Spacing

Stirrup Spacing is the approximate minimum spacing between two bars in a section.

Symbol: s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Stirrup Spacing

Yield Strength of Steel

Yield Strength of Steel is the level of stress that corresponds to the yield point.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Other formulas in Ultimate Strength Design for Torsion category

Go Spacing of Closed Stirrups for Torsion

s = \frac{A t \cdot φ \cdot f y \cdot x stirrup \cdot y 1}{T u - φ \cdot T c}

Go Maximum Ultimate Torsion for Torsion Effects

T u = φ \cdot (0.5 \cdot \sqrt{f' c} \cdot Σa 2 b)

Go Area of One Leg of Closed Stirrup given Shear Reinforcement Area

A t = \frac{(50 \cdot b w \cdot \frac{s}{f y}) - A v}{2}

Go Ultimate Design Torsional Moment

T u = 0.85 \cdot 5 \cdot \sqrt{f' c} \cdot Σx 2 y

How to Evaluate Shear Reinforcement Area?

Shear Reinforcement Area evaluator uses Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel to evaluate the Shear Reinforcement Area, The Shear Reinforcement Area formula is defined as designed to resist shear forces in excess of the shear strength of concrete. Shear Reinforcement Area is denoted by A_v symbol.

How to evaluate Shear Reinforcement Area using this online evaluator? To use this online evaluator for Shear Reinforcement Area, enter Width of Beam Web (b_w), Stirrup Spacing (s) & Yield Strength of Steel (f_y) and hit the calculate button.

FAQs on Shear Reinforcement Area

What is the formula to find Shear Reinforcement Area?

The formula of Shear Reinforcement Area is expressed as Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel. Here is an example- 5E+8 = (50*0.05000011*0.0501)/250000000.

How to calculate Shear Reinforcement Area?

With Width of Beam Web (b_w), Stirrup Spacing (s) & Yield Strength of Steel (f_y) we can find Shear Reinforcement Area using the formula - Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel.

Can the Shear Reinforcement Area be negative?

No, the Shear Reinforcement Area, measured in Area cannot be negative.

Which unit is used to measure Shear Reinforcement Area?

Shear Reinforcement Area 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 Shear Reinforcement Area can be measured.

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Shear Reinforcement Area Formula

Shear Reinforcement Area Example

Shear Reinforcement Area Solution

Shear Reinforcement Area Formula Elements

Other formulas in Ultimate Strength Design for Torsion category

How to Evaluate Shear Reinforcement Area?

FAQs on Shear Reinforcement Area

Variable Name