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Stirrup Area is the total cross-sectional area of the stirrup bars used. Check FAQs
Av=(s)⋅Vu-(2⋅Φ⋅fc⋅deff⋅bw)Φ⋅fy⋅deff
Av - Stirrup Area?s - Stirrup Spacing?Vu - Design of Shear Stress?Φ - Capacity Reduction Factor?fc - 28 Day Compressive Strength of Concrete?deff - Effective Depth of Beam?bw - Breadth of Web?fy - Yield Strength of Reinforcement?

Stirrup Area given Stirrup Spacing in Practical Design Example

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Here is how the Stirrup Area given Stirrup Spacing in Practical Design equation looks like with Values.

Here is how the Stirrup Area given Stirrup Spacing in Practical Design equation looks like with Units.

Here is how the Stirrup Area given Stirrup Spacing in Practical Design equation looks like.

2119.7275Edit=(50.1Edit)⋅1275Edit-(2⋅0.75Edit⋅15Edit⋅4Edit⋅300Edit)0.75Edit⋅9.99Edit⋅4Edit
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Stirrup Area given Stirrup Spacing in Practical Design Solution

Follow our step by step solution on how to calculate Stirrup Area given Stirrup Spacing in Practical Design?

FIRST Step Consider the formula
Av=(s)⋅Vu-(2⋅Φ⋅fc⋅deff⋅bw)Φ⋅fy⋅deff
Next Step Substitute values of Variables
∴ Av=(50.1mm)⋅1275kN-(2⋅0.75⋅15MPa⋅4m⋅300mm)0.75⋅9.99MPa⋅4m
Next Step Convert Units
∴ Av=(0.0501m)⋅1.3E+6N-(2⋅0.75⋅1.5E+7Pa⋅4m⋅0.3m)0.75⋅1E+7Pa⋅4m
Next Step Prepare to Evaluate
∴ Av=(0.0501)⋅1.3E+6-(2⋅0.75⋅1.5E+7⋅4⋅0.3)0.75⋅1E+7⋅4
Next Step Evaluate
∴Av=0.0021197275396009m²
Next Step Convert to Output's Unit
∴Av=2119.7275396009mm²
LAST Step Rounding Answer
∴Av=2119.7275mm²

Stirrup Area given Stirrup Spacing in Practical Design 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.
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.
Design of Shear Stress
Design of Shear Stress is the force per unit area acting parallel to a surface, causing deformation or sliding.
Symbol: Vu
Measurement: ForceUnit: kN
Note: Value should be greater than 0.
Capacity Reduction Factor
The Capacity Reduction Factor is a safety factor to account for the uncertainties in material strength, workmanship, dimensions etc.
Symbol: Φ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
28 Day Compressive Strength of Concrete
28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.
Symbol: fc
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Effective Depth of Beam
Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.
Symbol: deff
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Breadth of Web
Breadth of Web is the effective width of the member for flanged section.
Symbol: bw
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Yield Strength of Reinforcement
Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.
Symbol: fy
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Credits

Creator Image
Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Formula and 2000+ more formulas!
Verifier Image
Verified by Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has verified this Formula and 800+ more formulas!

Other Formulas to find Stirrup Area

​Go Stirrup Area given Support Angle
Av=Vsfy⋅sin(α)
​Go Stirrups area for Inclined Stirrups
Av=Vs⋅s(sin(α)+cos(α))⋅fy⋅deff

Other formulas in Shear Reinforcement category

​Go Ultimate Shear Capacity of Beam Section
Vn=(Vc+Vs)
​Go Nominal Shear Strength of Concrete
Vc=(1.9⋅fc+((2500⋅ρw)⋅(Vu⋅DcentroidBM)))⋅(bw⋅Dcentroid)

How to Evaluate Stirrup Area given Stirrup Spacing in Practical Design?

Stirrup Area given Stirrup Spacing in Practical Design evaluator uses Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam) to evaluate the Stirrup Area, The Stirrup Area given Stirrup Spacing in Practical Design is defined as the area of stirrup for the design shear, stirrup spacing, capacity reduction factor, yield strength of reinforcing steel, effective width and depth of geometry of the member and respectively. Stirrup Area is denoted by Av symbol.

How to evaluate Stirrup Area given Stirrup Spacing in Practical Design using this online evaluator? To use this online evaluator for Stirrup Area given Stirrup Spacing in Practical Design, enter Stirrup Spacing (s), Design of Shear Stress (Vu), Capacity Reduction Factor (Φ), 28 Day Compressive Strength of Concrete (fc), Effective Depth of Beam (deff), Breadth of Web (bw) & Yield Strength of Reinforcement (fy) and hit the calculate button.

FAQs on Stirrup Area given Stirrup Spacing in Practical Design

What is the formula to find Stirrup Area given Stirrup Spacing in Practical Design?
The formula of Stirrup Area given Stirrup Spacing in Practical Design is expressed as Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam). Here is an example- 2.1E+9 = (0.0501)*(1275000-(2*0.75*sqrt(15000000)*4*0.3))/(0.75*9990000*4).
How to calculate Stirrup Area given Stirrup Spacing in Practical Design?
With Stirrup Spacing (s), Design of Shear Stress (Vu), Capacity Reduction Factor (Φ), 28 Day Compressive Strength of Concrete (fc), Effective Depth of Beam (deff), Breadth of Web (bw) & Yield Strength of Reinforcement (fy) we can find Stirrup Area given Stirrup Spacing in Practical Design using the formula - Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Stirrup Area?
Here are the different ways to Calculate Stirrup Area-
  • Stirrup Area=(Strength of Shear Reinforcement)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined)
  • Stirrup Area=(Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at which Stirrup is inclined)+cos(Angle at which Stirrup is inclined))*Yield Strength of Reinforcement*Effective Depth of Beam)
Can the Stirrup Area given Stirrup Spacing in Practical Design be negative?
Yes, the Stirrup Area given Stirrup Spacing in Practical Design, measured in Area can be negative.
Which unit is used to measure Stirrup Area given Stirrup Spacing in Practical Design?
Stirrup Area given Stirrup Spacing in Practical Design 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 Stirrup Area given Stirrup Spacing in Practical Design can be measured.
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