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

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Area of One Leg of Closed Stirrup deals with the stirrups that hold the leg and foot in a desired position. Check FAQs

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

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

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

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Here is how the Area of One Leg of Closed Stirrup given Shear Reinforcement Area equation looks like with Values.

Here is how the Area of One Leg of Closed Stirrup given Shear Reinforcement Area equation looks like with Units.

Here is how the Area of One Leg of Closed Stirrup given Shear Reinforcement Area equation looks like.

0.4956 = \frac{(50 \cdot 50.0001 \cdot \frac{50.1}{250}) - 500.01}{2}

0.4956mm² = \frac{(50 \cdot 50.0001mm \cdot \frac{50.1mm}{250MPa}) - 500.01mm²}{2}

0.4956 = \frac{(50 \cdot 50.0001 \cdot \frac{50.1}{250}) - 500.01}{2}

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

Follow our step by step solution on how to calculate Area of One Leg of Closed Stirrup given Shear Reinforcement Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A t = \frac{(50 \cdot 50.0001mm \cdot \frac{50.1mm}{250MPa}) - 500.01mm²}{2}

Next Step Convert Units

∴

A t = \frac{(50 \cdot 50.0001mm \cdot \frac{50.1mm}{250N/mm²}) - 500.01mm²}{2}

Next Step Prepare to Evaluate

∴

A t = \frac{(50 \cdot 50.0001 \cdot \frac{50.1}{250}) - 500.01}{2}

Next Step Evaluate

∴

A t = 4.955511E-07m²

Next Step Convert to Output's Unit

∴

A t = 0.4955511mm²

LAST Step Rounding Answer

∴

A t = 0.4956mm²

Area of One Leg of Closed Stirrup given Shear Reinforcement Area Formula Elements

Variables

Area of One Leg of Closed Stirrup

Area of One Leg of Closed Stirrup deals with the stirrups that hold the leg and foot in a desired position.

Symbol: A_t

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of One Leg of Closed Stirrup

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

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

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 Ultimate Design Torsional Moment

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

Go Shear Reinforcement Area

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

How to Evaluate Area of One Leg of Closed Stirrup given Shear Reinforcement Area?

Area of One Leg of Closed Stirrup given Shear Reinforcement Area evaluator uses Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2 to evaluate the Area of One Leg of Closed Stirrup, The Area of One Leg of Closed Stirrup given Shear Reinforcement Area formula is defined as a flattened U-shaped form rather than a complete loop. Area of One Leg of Closed Stirrup is denoted by A_t symbol.

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

FAQs on Area of One Leg of Closed Stirrup given Shear Reinforcement Area

What is the formula to find Area of One Leg of Closed Stirrup given Shear Reinforcement Area?

The formula of Area of One Leg of Closed Stirrup given Shear Reinforcement Area is expressed as Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2. Here is an example- 500551.1 = ((50*0.05000011*0.0501/250000000)-0.00050001)/2.

How to calculate Area of One Leg of Closed Stirrup given Shear Reinforcement Area?

With Width of Beam Web (b_w), Stirrup Spacing (s), Yield Strength of Steel (f_y) & Shear Reinforcement Area (A_v) we can find Area of One Leg of Closed Stirrup given Shear Reinforcement Area using the formula - Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2.

Can the Area of One Leg of Closed Stirrup given Shear Reinforcement Area be negative?

No, the Area of One Leg of Closed Stirrup given Shear Reinforcement Area, measured in Area cannot be negative.

Which unit is used to measure Area of One Leg of Closed Stirrup given Shear Reinforcement Area?

Area of One Leg of Closed Stirrup given 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 Area of One Leg of Closed Stirrup given Shear Reinforcement Area can be measured.

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

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

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

Area of One Leg of Closed Stirrup given Shear Reinforcement Area Formula Elements

Other formulas in Ultimate Strength Design for Torsion category

How to Evaluate Area of One Leg of Closed Stirrup given Shear Reinforcement Area?

FAQs on Area of One Leg of Closed Stirrup given Shear Reinforcement Area

Variable Name