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Area of Steel Required in Vertical Stirrups Formula

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Area of Steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups. Check FAQs

A s = \frac{V s \cdot s}{fy steel \cdot D centroid}

A_s - Area of Steel required?V_s - Nominal Shear Strength by Reinforcement?s - Stirrup Spacing?fy_steel - Yield Strength of Steel?D_centroid - Centroidal Distance of Tension Reinforcement?

Area of Steel Required in Vertical Stirrups Example

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Here is how the Area of Steel Required in Vertical Stirrups equation looks like with Values.

Here is how the Area of Steel Required in Vertical Stirrups equation looks like with Units.

Here is how the Area of Steel Required in Vertical Stirrups equation looks like.

0.3929 = \frac{100 \cdot 50.1}{250 \cdot 51.01}

0.3929mm² = \frac{100MPa \cdot 50.1mm}{250MPa \cdot 51.01mm}

0.3929 = \frac{100 \cdot 50.1}{250 \cdot 51.01}

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Area of Steel Required in Vertical Stirrups Solution

Follow our step by step solution on how to calculate Area of Steel Required in Vertical Stirrups?

FIRST Step Consider the formula

A s = \frac{V s \cdot s}{fy steel \cdot D centroid}

Next Step Substitute values of Variables

∴

A s = \frac{100MPa \cdot 50.1mm}{250MPa \cdot 51.01mm}

Next Step Convert Units

∴

A s = \frac{100MPa \cdot 50.1mm}{2.5E+8Pa \cdot 51.01mm}

Next Step Prepare to Evaluate

∴

A s = \frac{100 \cdot 50.1}{2.5E+8 \cdot 51.01}

Next Step Evaluate

∴

A s = 3.92864144285434E-07m²

Next Step Convert to Output's Unit

∴

A s = 0.392864144285434mm²

LAST Step Rounding Answer

∴

A s = 0.3929mm²

Area of Steel Required in Vertical Stirrups Formula Elements

Variables

Area of Steel required

Area of Steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups.

Symbol: A_s

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Steel required

Nominal Shear Strength by Reinforcement

Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.

Symbol: V_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Nominal Shear Strength by Reinforcement

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: fy_steel

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Centroidal Distance of Tension Reinforcement

The Centroidal Distance of Tension Reinforcement is the distance measured from external fiber to centroid of tension reinforcement.

Symbol: D_centroid

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Centroidal Distance of Tension Reinforcement

Other formulas in Shear Reinforcement category

Go Ultimate Shear Capacity of Beam Section

V n = (V c + V s)

Go Nominal Shear Strength of Concrete

V c = (1.9 \cdot \sqrt{f c} + ((2500 \cdot ρ w) \cdot (\frac{V u \cdot D centroid}{B M}))) \cdot (b w \cdot D centroid)

Go Nominal Shear Strength Provided by Reinforcement

V s = V n - V c

Go Stirrup Spacing for Practical Design

s = \frac{A v \cdot Φ \cdot fy steel \cdot d eff}{(Vu) - ((2 \cdot Φ) \cdot \sqrt{f c} \cdot bw \cdot d eff)}

How to Evaluate Area of Steel Required in Vertical Stirrups?

Area of Steel Required in Vertical Stirrups evaluator uses Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement) to evaluate the Area of Steel required, The Area of Steel Required in Vertical Stirrups formula is defined as the amount of area of steel needed to resist the shear force. Area of Steel required is denoted by A_s symbol.

How to evaluate Area of Steel Required in Vertical Stirrups using this online evaluator? To use this online evaluator for Area of Steel Required in Vertical Stirrups, enter Nominal Shear Strength by Reinforcement (V_s), Stirrup Spacing (s), Yield Strength of Steel (fy_steel) & Centroidal Distance of Tension Reinforcement (D_centroid) and hit the calculate button.

FAQs on Area of Steel Required in Vertical Stirrups

What is the formula to find Area of Steel Required in Vertical Stirrups?

The formula of Area of Steel Required in Vertical Stirrups is expressed as Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement). Here is an example- 392941.2 = (100000000*0.0501)/(250000000*0.05101).

How to calculate Area of Steel Required in Vertical Stirrups?

With Nominal Shear Strength by Reinforcement (V_s), Stirrup Spacing (s), Yield Strength of Steel (fy_steel) & Centroidal Distance of Tension Reinforcement (D_centroid) we can find Area of Steel Required in Vertical Stirrups using the formula - Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement).

Can the Area of Steel Required in Vertical Stirrups be negative?

No, the Area of Steel Required in Vertical Stirrups, measured in Area cannot be negative.

Which unit is used to measure Area of Steel Required in Vertical Stirrups?

Area of Steel Required in Vertical Stirrups 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 Steel Required in Vertical Stirrups can be measured.

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Area of Steel Required in Vertical Stirrups Formula

Area of Steel Required in Vertical Stirrups Example

Area of Steel Required in Vertical Stirrups Solution

Area of Steel Required in Vertical Stirrups Formula Elements

Other formulas in Shear Reinforcement category

How to Evaluate Area of Steel Required in Vertical Stirrups?

FAQs on Area of Steel Required in Vertical Stirrups

Variable Name