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Stirrup Area is the total cross-sectional area of the stirrup bars used. Check FAQs
Av=V'LAB⋅sfv⋅d'⋅(cos(α)+sin(α))
Av - Stirrup Area?V'LAB - Excess Shear given Stirrup Leg Area for Bars Bent?s - Stirrup Spacing?fv - Allowable Stress in Stirrup Steel?d' - Compression to Centroid Reinforcement Distance?α - Angle at which Stirrup is Inclined?

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

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Here is how the Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances equation looks like with Values.

Here is how the Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances equation looks like with Units.

Here is how the Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances equation looks like.

496.4454Edit=4785Edit⋅50.1Edit35Edit⋅10.1Edit⋅(cos(30Edit)+sin(30Edit))
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Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances Solution

Follow our step by step solution on how to calculate Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances?

FIRST Step Consider the formula
Av=V'LAB⋅sfv⋅d'⋅(cos(α)+sin(α))
Next Step Substitute values of Variables
∴ Av=4785N/m²⋅50.1mm35MPa⋅10.1mm⋅(cos(30°)+sin(30°))
Next Step Convert Units
∴ Av=4785Pa⋅0.0501m3.5E+7Pa⋅0.0101m⋅(cos(0.5236rad)+sin(0.5236rad))
Next Step Prepare to Evaluate
∴ Av=4785⋅0.05013.5E+7⋅0.0101⋅(cos(0.5236)+sin(0.5236))
Next Step Evaluate
∴Av=0.00049644538054392m²
Next Step Convert to Output's Unit
∴Av=496.44538054392mm²
LAST Step Rounding Answer
∴Av=496.4454mm²

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

Variables
Functions
Stirrup Area
Stirrup Area is the total cross-sectional area of the stirrup bars used.
Symbol: Av
Measurement: AreaUnit: mm²
Note: Value can be positive or negative.
Formulas to find Stirrup AreaOpen Variable
Excess Shear given Stirrup Leg Area for Bars Bent
Excess Shear given Stirrup Leg Area for Bars Bent is a measure that can be evaluated numerically and can be used in an assessment of the possible magnitude and relative likelihood of seismic activity.
Symbol: V'LAB
Measurement: PressureUnit: N/m²
Note: Value should be greater than 0.
Formulas to find Excess Shear given Stirrup Leg Area for Bars BentOpen Variable
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 SpacingOpen Variable
Allowable Stress in Stirrup Steel
Allowable stress in stirrup steel is 55% of those for ultimate strength design.
Symbol: fv
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Formulas to find Allowable Stress in Stirrup SteelOpen Variable
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 DistanceOpen Variable
Angle at which Stirrup is Inclined
Angle at which Stirrup is Inclined series constitutes bars that are bent up at different distances from the support or when the stirrup is inclined.
Symbol: α
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Angle at which Stirrup is InclinedOpen Variable
sin
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Syntax: sin(Angle)
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other Formulas to find Stirrup Area

​Go Area Required in Legs of Vertical Stirrup
Av=V'⋅sfv⋅d'
​Go Vertical Stirrup Leg Area when Single Bar is Bent at Angle a
Av=V'vslfv⋅sin(α)

Other formulas in Allowable Shear category

​Go Nominal Unit Shear Stress
Vn=Vbns⋅d'
​Go Shear given Nominal Unit Shear Stress
V=bns⋅d'⋅Vn
​Go Distance from Extreme Compression to Centroid given Nominal Unit Shear Stress
d'=Vbns⋅Vn
​Go Excess Shear given Area in Legs of Vertical Stirrup
V'=Av⋅fv⋅d's

How to Evaluate Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances?

Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances evaluator uses 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))) to evaluate the Stirrup Area, The Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances formula is defined as the area of the vertical stirrup which is required to resist the shear. Stirrup Area is denoted by Av symbol.

How to evaluate Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances using this online evaluator? To use this online evaluator for Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances, enter Excess Shear given Stirrup Leg Area for Bars Bent (V'LAB), Stirrup Spacing (s), Allowable Stress in Stirrup Steel (fv), Compression to Centroid Reinforcement Distance (d') & Angle at which Stirrup is Inclined (α) and hit the calculate button.

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

What is the formula to find Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances?
The formula of Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances is expressed as 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))). Here is an example- 5E+8 = (4785*0.0501)/(35000000*0.0101*(cos(0.5235987755982)+sin(0.5235987755982))).
How to calculate Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances?
With Excess Shear given Stirrup Leg Area for Bars Bent (V'LAB), Stirrup Spacing (s), Allowable Stress in Stirrup Steel (fv), Compression to Centroid Reinforcement Distance (d') & Angle at which Stirrup is Inclined (α) we can find Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances using the formula - 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))). This formula also uses Sine (sin), Cosine (cos) function(s).
What are the other ways to Calculate Stirrup Area?
Here are the different ways to Calculate Stirrup Area-
  • Stirrup Area=(Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)OpenImg
  • Stirrup Area=Excess Shear given Vertical Stirrup Leg Area/(Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined))OpenImg
Can the Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances be negative?
Yes, the Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances, measured in Area can be negative.
Which unit is used to measure Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances?
Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances 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 Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances can be measured.
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