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Stirrups Spacing using Area in Legs of Vertical Stirrup Formula

GoStirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula

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

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

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

Stirrups Spacing using Area in Legs of Vertical Stirrup Example

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

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

Here is how the Stirrups Spacing using Area in Legs of Vertical Stirrup equation looks like.

50.5 = \frac{500 \cdot 35 \cdot 10.1}{3500}

50.5mm = \frac{500mm² \cdot 35MPa \cdot 10.1mm}{3500N/m²}

50.5 = \frac{500 \cdot 35 \cdot 10.1}{3500}

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Stirrups Spacing using Area in Legs of Vertical Stirrup Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s = \frac{500mm² \cdot 35MPa \cdot 10.1mm}{3500N/m²}

Next Step Convert Units

∴

s = \frac{0.0005m² \cdot 3.5E+7Pa \cdot 0.0101m}{3500Pa}

Next Step Prepare to Evaluate

∴

s = \frac{0.0005 \cdot 3.5E+7 \cdot 0.0101}{3500}

Next Step Evaluate

∴

s = 0.0505m

LAST Step Convert to Output's Unit

∴

s = 50.5mm

Stirrups Spacing using Area in Legs of Vertical Stirrup Formula Elements

Variables

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

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

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

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

Other Formulas to find Stirrup Spacing

Go Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances

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

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 Area Required in Legs of Vertical Stirrup

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

How to Evaluate Stirrups Spacing using Area in Legs of Vertical Stirrup?

Stirrups Spacing using Area in Legs of Vertical Stirrup evaluator uses Stirrup Spacing = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/Excess Shear to evaluate the Stirrup Spacing, The Stirrups Spacing using Area in Legs of Vertical Stirrup formula is defined as the distance between the steel bars. The minimum spacing between two stirrups can be taken as approximately (50-75) mm. Stirrup Spacing is denoted by s symbol.

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

FAQs on Stirrups Spacing using Area in Legs of Vertical Stirrup

What is the formula to find Stirrups Spacing using Area in Legs of Vertical Stirrup?

The formula of Stirrups Spacing using Area in Legs of Vertical Stirrup is expressed as Stirrup Spacing = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/Excess Shear. Here is an example- 50000 = (0.0005*35000000*0.0101)/3500.

How to calculate Stirrups Spacing using Area in Legs of Vertical Stirrup?

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

What are the other ways to Calculate Stirrup Spacing?

Here are the different ways to Calculate Stirrup Spacing-

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

Can the Stirrups Spacing using Area in Legs of Vertical Stirrup be negative?

No, the Stirrups Spacing using Area in Legs of Vertical Stirrup, measured in Length cannot be negative.

Which unit is used to measure Stirrups Spacing using Area in Legs of Vertical Stirrup?

Stirrups Spacing using Area in Legs of Vertical Stirrup is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Stirrups Spacing using Area in Legs of Vertical Stirrup can be measured.

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Stirrups Spacing using Area in Legs of Vertical Stirrup Formula

​GoStirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula

Stirrups Spacing using Area in Legs of Vertical Stirrup Example

Stirrups Spacing using Area in Legs of Vertical Stirrup Solution

Stirrups Spacing using Area in Legs of Vertical Stirrup Formula Elements

Other Formulas to find Stirrup Spacing

Other formulas in Allowable Shear category

How to Evaluate Stirrups Spacing using Area in Legs of Vertical Stirrup?

FAQs on Stirrups Spacing using Area in Legs of Vertical Stirrup

Variable Name

GoStirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula