Area Required in Legs of a Vertical Stirrup Calculator

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Working-Stress-Design-Of-Tension-Reinforced-Rectangular-Beams	Allowable Shear ↺

✖excess shear is the v' = V - Vc* bdⓘ excess shear [V']			+10% -10%
✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing [s]			+10% -10%
✖Allowable stress in stirrup steel is 55% of those for ultimate strength design.ⓘ allowable stress in stirrup steel [f_v]			+10% -10%
✖Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).ⓘ Distance from Compression to Centroid Reinforcment [d']			+10% -10%

✖Stirrup Area (Av) is the total cross-sectional area of the stirrup bars used.ⓘ Area Required in Legs of a Vertical Stirrup [Av]

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Area Required in Legs of a Vertical Stirrup

Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 100+ more calculators!

Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 500+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Ultimate Strength for Symmetrical Reinforcement

Axial Load Capacity=0.85*28 Day Compressive Strength of Concrete*Width of compression face*Distance from Compression to Tensile Reinforcement*Capacity reduction factor*((-Area ratio of tensile reinforcement)+1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement))^2)+2*Area ratio of tensile reinforcement*((Force ratio of strengths of reinforcements-1)*(1-(Distance from Compression to Centroid Reinforcment/Distance from Compression to Tensile Reinforcement))+(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)))) GO

Balanced Moment when Φ is Given

Balanced Moment=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress*(Distance from Compression to Tensile Reinforcement-Distance from Plastic to Tensile Reinforcement-Depth Rectangular Compressive Stress/2))+(Area of Compressive Reinforcement*Yeild Strength of Base Plate*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment-Distance from Plastic to Tensile Reinforcement))+(area of tension reinforcement*Tensile Stress in Steel*Distance from Plastic to Tensile Reinforcement)) GO

Ultimate Strength for Symmetrical Reinforcement in Single Layers

Axial Load Capacity=Capacity reduction factor*((Area of Compressive Reinforcement*Yield strength of reinforcing steel/((Eccentricity/Distance from Compression to Tensile Reinforcement)-Distance from Compression to Centroid Reinforcment+0.5))+(Width of compression face*Depth of column*28 Day Compressive Strength of Concrete/((3*Depth of column*Eccentricity/(Distance from Compression to Tensile Reinforcement^2))+1.18))) GO

Nominal Reinforcement Shear Strength when Stirrups Area for Inclined Stirrups is Given

Nominal strength of Shear Reinforcement=(Stirrup Area*Yield strength of reinforcing steel*Effective depth of beam)*(sin(Angle at Support)+cos(Angle at which the stirrup is inclined))/(Stirrup Spacing) GO

Stirrups Area when Inclined Stirrups are Used

Stirrup Area=(Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at Support)+cos(Angle at which the stirrup is inclined))*Yield strength of reinforcing steel*Effective depth of beam) GO

Reinforcement Yield Strength when Axial Load for Tied Columns is Given

yield strength of reinforcement=(Bending moment)/(0.40*area of tension reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment)) GO

Tension Reinforcement Area when Axial Load for Tied Columns is Given

area of tension reinforcement=(Bending moment)/(0.40*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment)) GO

Axial Load for Tied Columns

Bending moment=0.40*area of tension reinforcement*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment) GO

Nominal Reinforcement Shear Strength when Area of Steel in Vertical Stirrups is Given

Nominal shear strength by reinforcement=(Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement)/(Stirrup Spacing) GO

Area of Steel Required in Vertical Stirrups

Area of steel required=(Nominal shear strength by reinforcement*Stirrup Spacing)/(yield strength of reinforcement*Centroidal distance of tension reinforcement) GO

Nominal Unit Shear Stress

Shearing Unit Stress=Total Shear/(Beam Width*Distance from Compression to Centroid Reinforcment) GO

< 6 Other formulas that calculate the same Output

Stirrup Area when Stirrup Spacing for Practical Design is Given

Stirrup Area=(Spacing of Stirrups)*(Design Shear -(2*Capacity reduction factor*sqrt(28 Day Compressive Strength of Concrete)*Effective depth of beam*Breadth of the web))/(Capacity reduction factor*Yield strength of reinforcing steel*Effective depth of beam) GO

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

Stirrup Area=(excess shear*Stirrup Spacing)/(allowable stress in stirrup steel*Distance from Compression to Centroid Reinforcment*(cos(Angle at which the stirrup is inclined)+sin(Angle at which the stirrup is inclined))) GO

Stirrups Area when Inclined Stirrups are Used

Stirrup Area=(Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at Support)+cos(Angle at which the stirrup is inclined))*Yield strength of reinforcing steel*Effective depth of beam) GO

Stirrup Area when Support Angle is Given

Stirrup Area=(Strength of Shear Reinforcement)/(Yield strength of reinforcing steel)*sin(Angle at Support) GO

Vertical Stirrup Leg Area when Single Bar is Bent at an Angle α

Stirrup Area=excess shear/(allowable stress in stirrup steel*sin(Angle at which the stirrup is inclined)) GO

Shear Reinforcement Area

Stirrup Area=50*(Width of beam web*Stirrup Spacing)/yield strength of reinforcement GO

Area Required in Legs of a Vertical Stirrup Formula

Stirrup Area=(excess shear*Stirrup Spacing)/(allowable stress in stirrup steel*Distance from Compression to Centroid Reinforcment)
Av=(V'*s)/(f<sub>v*d')

More formulas

Nominal Unit Shear Stress GO

Shear when Nominal Unit Shear Stress is Given GO

Distance from Extreme Compression to Centroid when Nominal Unit Shear Stress is Given GO

Beam Width when Nominal Unit Shear Stress is Given GO

Excess Shear when Area in Legs of a Vertical Stirrup is Given GO

Stirrups Spacing when Area in Legs of a Vertical Stirrup is Given GO

Distance from Extreme Compression to Centroid when Area in Legs of a Vertical Stirrup is Given GO

Allowable Stress in Stirrup Steel when Area in Legs of a Vertical Stirrup is Given GO

Stirrups Spacing when Stirrup Leg Area is Given for Group of Bars Bent up Different Distances GO

Excess Shear when Stirrup Leg Area is Given for Group of Bars Bent up Different Distances GO

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

Excess Shear when Vertical Stirrup Leg Area is Given for Single Bar Bent at Angle α GO

Vertical Stirrup Leg Area when Single Bar is Bent at an Angle α GO

What is vertical stirrup?

The vertical stirrup is a steel bar that is placed around the tensile reinforcement at suitable spacing along the length of the beam.

How to Calculate Area Required in Legs of a Vertical Stirrup?

Area Required in Legs of a Vertical Stirrup calculator uses Stirrup Area=(excess shear*Stirrup Spacing)/(allowable stress in stirrup steel*Distance from Compression to Centroid Reinforcment) to calculate the Stirrup Area, The Area Required in Legs of a Vertical Stirrup formula is defined as the area which is required to resist the excess shear. Stirrup Area and is denoted by Av symbol.

How to calculate Area Required in Legs of a Vertical Stirrup using this online calculator? To use this online calculator for Area Required in Legs of a Vertical Stirrup, enter excess shear (V'), Stirrup Spacing (s), allowable stress in stirrup steel (f_v) and Distance from Compression to Centroid Reinforcment (d') and hit the calculate button. Here is how the Area Required in Legs of a Vertical Stirrup calculation can be explained with given input values -> 5 = (1*0.05)/(1000000*0.01).

FAQ

What is Area Required in Legs of a Vertical Stirrup?

The Area Required in Legs of a Vertical Stirrup formula is defined as the area which is required to resist the excess shear and is represented as Av=(V'*s)/(f_v*d') or Stirrup Area=(excess shear*Stirrup Spacing)/(allowable stress in stirrup steel*Distance from Compression to Centroid Reinforcment). excess shear is the v' = V - Vc* bd, Stirrup Spacing is the approximate minimum spacing between two bars in a section, Allowable stress in stirrup steel is 55% of those for ultimate strength design and Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).

How to calculate Area Required in Legs of a Vertical Stirrup?

The Area Required in Legs of a Vertical Stirrup formula is defined as the area which is required to resist the excess shear is calculated using Stirrup Area=(excess shear*Stirrup Spacing)/(allowable stress in stirrup steel*Distance from Compression to Centroid Reinforcment). To calculate Area Required in Legs of a Vertical Stirrup, you need excess shear (V'), Stirrup Spacing (s), allowable stress in stirrup steel (f_v) and Distance from Compression to Centroid Reinforcment (d'). With our tool, you need to enter the respective value for excess shear, Stirrup Spacing, allowable stress in stirrup steel and Distance from Compression to Centroid Reinforcment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stirrup Area?

In this formula, Stirrup Area uses excess shear, Stirrup Spacing, allowable stress in stirrup steel and Distance from Compression to Centroid Reinforcment. We can use 6 other way(s) to calculate the same, which is/are as follows -

Stirrup Area=(Spacing of Stirrups)*(Design Shear -(2*Capacity reduction factor*sqrt(28 Day Compressive Strength of Concrete)*Effective depth of beam*Breadth of the web))/(Capacity reduction factor*Yield strength of reinforcing steel*Effective depth of beam)
Stirrup Area=(Strength of Shear Reinforcement)/(Yield strength of reinforcing steel)*sin(Angle at Support)
Stirrup Area=(Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at Support)+cos(Angle at which the stirrup is inclined))*Yield strength of reinforcing steel*Effective depth of beam)
Stirrup Area=(excess shear*Stirrup Spacing)/(allowable stress in stirrup steel*Distance from Compression to Centroid Reinforcment*(cos(Angle at which the stirrup is inclined)+sin(Angle at which the stirrup is inclined)))
Stirrup Area=excess shear/(allowable stress in stirrup steel*sin(Angle at which the stirrup is inclined))
Stirrup Area=50*(Width of beam web*Stirrup Spacing)/yield strength of reinforcement

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