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Area Required in Legs of Vertical Stirrup Formula

GoVertical Stirrup Leg Area when Group of Bars is Bent at Different Distances Formula

GoVertical Stirrup Leg Area when Single Bar is Bent at Angle a Formula

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Stirrup Area is the total cross-sectional area of the stirrup bars used. Check FAQs

A v = \frac{V' \cdot s}{f v \cdot d'}

A_v - Stirrup Area?V' - Excess Shear?s - Stirrup Spacing?f_v - Allowable Stress in Stirrup Steel?d' - Compression to Centroid Reinforcement Distance?

Area Required in Legs of Vertical Stirrup Example

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Here is how the Area Required in Legs of Vertical Stirrup equation looks like with Values.

Here is how the Area Required in Legs of Vertical Stirrup equation looks like with Units.

Here is how the Area Required in Legs of Vertical Stirrup equation looks like.

496.0396 = \frac{3500 \cdot 50.1}{35 \cdot 10.1}

496.0396mm² = \frac{3500N/m² \cdot 50.1mm}{35MPa \cdot 10.1mm}

496.0396 = \frac{3500 \cdot 50.1}{35 \cdot 10.1}

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Area Required in Legs of Vertical Stirrup Solution

Follow our step by step solution on how to calculate Area Required in Legs of Vertical Stirrup?

FIRST Step Consider the formula

A v = \frac{V' \cdot s}{f v \cdot d'}

Next Step Substitute values of Variables

∴

A v = \frac{3500N/m² \cdot 50.1mm}{35MPa \cdot 10.1mm}

Next Step Convert Units

∴

A v = \frac{3500Pa \cdot 0.0501m}{3.5E+7Pa \cdot 0.0101m}

Next Step Prepare to Evaluate

∴

A v = \frac{3500 \cdot 0.0501}{3.5E+7 \cdot 0.0101}

Next Step Evaluate

∴

A v = 0.000496039603960396m²

Next Step Convert to Output's Unit

∴

A v = 496.039603960396mm²

LAST Step Rounding Answer

∴

A v = 496.0396mm²

Area Required in Legs of Vertical Stirrup Formula Elements

Variables

Stirrup Area

Stirrup Area is the total cross-sectional area of the stirrup bars used.

Symbol: A_v

Measurement: AreaUnit: mm²

Note: Value can be positive or negative.

Formulas to find Stirrup Area

Excess Shear

Excess shear is a measure that can be evaluated numerically and that, in principle, can be used in an assessment of the possible magnitude and relative likelihood of seismic activity.

Symbol: V'

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Excess Shear

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

Allowable Stress in Stirrup Steel

Allowable stress in stirrup steel is 55% of those for ultimate strength design.

Symbol: f_v

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Stress in Stirrup Steel

Compression to Centroid Reinforcement Distance

Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.

Symbol: d'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Compression to Centroid Reinforcement Distance

Other Formulas to find Stirrup Area

Go Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances

A v = \frac{V' LAB \cdot s}{f v \cdot d' \cdot (\cos (α) + \sin (α))}

Go Vertical Stirrup Leg Area when Single Bar is Bent at Angle a

A v = \frac{V' vsl}{f v \cdot \sin (α)}

Other formulas in Allowable Shear category

Go Nominal Unit Shear Stress

V n = \frac{V}{b ns \cdot d'}

Go Shear given Nominal Unit Shear Stress

V = b ns \cdot d' \cdot V n

Go Distance from Extreme Compression to Centroid given Nominal Unit Shear Stress

d' = \frac{V}{b ns \cdot V n}

Go Excess Shear given Area in Legs of Vertical Stirrup

V' = \frac{A v \cdot f v \cdot d'}{s}

How to Evaluate Area Required in Legs of Vertical Stirrup?

Area Required in Legs of Vertical Stirrup evaluator uses Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance) to evaluate the Stirrup Area, The Area Required in Legs of Vertical Stirrup formula is defined as the area which is required to resist the excess shear. Stirrup Area is denoted by A_v symbol.

How to evaluate Area Required in Legs of Vertical Stirrup using this online evaluator? To use this online evaluator for Area Required in Legs of Vertical Stirrup, enter Excess Shear (V'), Stirrup Spacing (s), Allowable Stress in Stirrup Steel (f_v) & Compression to Centroid Reinforcement Distance (d') and hit the calculate button.

FAQs on Area Required in Legs of Vertical Stirrup

What is the formula to find Area Required in Legs of Vertical Stirrup?

The formula of Area Required in Legs of Vertical Stirrup is expressed as Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance). Here is an example- 5E+8 = (3500*0.0501)/(35000000*0.0101).

How to calculate Area Required in Legs of Vertical Stirrup?

With Excess Shear (V'), Stirrup Spacing (s), Allowable Stress in Stirrup Steel (f_v) & Compression to Centroid Reinforcement Distance (d') we can find Area Required in Legs of Vertical Stirrup using the formula - Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance).

What are the other ways to Calculate Stirrup Area?

Here are the different ways to Calculate Stirrup Area-

Stirrup Area=(Excess Shear given Stirrup Leg Area for Bars Bent*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance*(cos(Angle at which Stirrup is Inclined)+sin(Angle at which Stirrup is Inclined)))
Stirrup Area=Excess Shear given Vertical Stirrup Leg Area/(Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined))

Can the Area Required in Legs of Vertical Stirrup be negative?

Yes, the Area Required in Legs of Vertical Stirrup, measured in Area can be negative.

Which unit is used to measure Area Required in Legs of Vertical Stirrup?

Area Required in Legs of Vertical Stirrup 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 Required in Legs of Vertical Stirrup can be measured.

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Area Required in Legs of Vertical Stirrup Formula

​GoVertical Stirrup Leg Area when Group of Bars is Bent at Different Distances Formula

​GoVertical Stirrup Leg Area when Single Bar is Bent at Angle a Formula

Area Required in Legs of Vertical Stirrup Example

Area Required in Legs of Vertical Stirrup Solution

Area Required in Legs of Vertical Stirrup Formula Elements

Other Formulas to find Stirrup Area

Other formulas in Allowable Shear category

How to Evaluate Area Required in Legs of Vertical Stirrup?

FAQs on Area Required in Legs of Vertical Stirrup

Variable Name

GoVertical Stirrup Leg Area when Group of Bars is Bent at Different Distances Formula

GoVertical Stirrup Leg Area when Single Bar is Bent at Angle a Formula