Area Required in Legs of Vertical Stirrup Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)
Av = (V'*s)/(fv*d')
This formula uses 5 Variables
Variables Used
Stirrup Area - (Measured in Square Meter) - Stirrup Area is the total cross-sectional area of the stirrup bars used.
Excess Shear - (Measured in Pascal) - 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.
Stirrup Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Allowable Stress in Stirrup Steel - (Measured in Pascal) - Allowable stress in stirrup steel is 55% of those for ultimate strength design.
Compression to Centroid Reinforcement Distance - (Measured in Meter) - Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.
STEP 1: Convert Input(s) to Base Unit
Excess Shear: 3500 Newton per Square Meter --> 3500 Pascal (Check conversion here)
Stirrup Spacing: 50.1 Millimeter --> 0.0501 Meter (Check conversion here)
Allowable Stress in Stirrup Steel: 35 Megapascal --> 35000000 Pascal (Check conversion here)
Compression to Centroid Reinforcement Distance: 10.1 Millimeter --> 0.0101 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Av = (V'*s)/(fv*d') --> (3500*0.0501)/(35000000*0.0101)
Evaluating ... ...
Av = 0.000496039603960396
STEP 3: Convert Result to Output's Unit
0.000496039603960396 Square Meter -->496.039603960396 Square Millimeter (Check conversion here)
FINAL ANSWER
496.039603960396 496.0396 Square Millimeter <-- Stirrup Area
(Calculation completed in 00.020 seconds)

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Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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13 Allowable Shear Calculators

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances
Go 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)
Excess Shear given Stirrup Leg Area for Group of Bars Bent up Different Distances
Go Excess Shear given Stirrup Leg Area for Bars Bent = (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)))/(Stirrup Spacing)
Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances
Go 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)))
Vertical Stirrup Leg Area when Single Bar is Bent at Angle a
Go Stirrup Area = Excess Shear given Vertical Stirrup Leg Area/(Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined))
Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a
Go Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined)
Distance from Extreme Compression to Centroid given Area in Legs of Vertical Stirrup
Go Compression to Centroid Reinforcement Distance = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Stirrup Area)
Allowable Stress in Stirrup Steel given Area in Legs of Vertical Stirrup
Go Allowable Stress in Stirrup Steel = (Excess Shear*Stirrup Spacing)/(Stirrup Area*Compression to Centroid Reinforcement Distance)
Excess Shear given Area in Legs of Vertical Stirrup
Go Excess Shear = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/(Stirrup Spacing)
Area Required in Legs of Vertical Stirrup
Go Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)
Stirrups Spacing using Area in Legs of Vertical Stirrup
Go Stirrup Spacing = (Stirrup Area*Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)/Excess Shear
Distance from Extreme Compression to Centroid given Nominal Unit Shear Stress
Go Compression to Centroid Reinforcement Distance = Total Shear/(Beam Width for Nominal Shear*Nominal Shear Stress)
Nominal Unit Shear Stress
Go Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance)
Shear given Nominal Unit Shear Stress
Go Total Shear = Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance*Nominal Shear Stress

Area Required in Legs of Vertical Stirrup Formula

Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)
Av = (V'*s)/(fv*d')

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.

What is Stirrup?

A Stirrup is a closed loop of reinforcement bars, which has the main function of holding the main reinforcement bars together in a reinforced concrete element.

How to Calculate Area Required in Legs of Vertical Stirrup?

Area Required in Legs of Vertical Stirrup calculator uses Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance) to calculate 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 Av symbol.

How to calculate Area Required in Legs of Vertical Stirrup using this online calculator? To use this online calculator for Area Required in Legs of Vertical Stirrup, enter Excess Shear (V'), Stirrup Spacing (s), Allowable Stress in Stirrup Steel (fv) & Compression to Centroid Reinforcement Distance (d') and hit the calculate button. Here is how the Area Required in Legs of Vertical Stirrup calculation can be explained with given input values -> 5E+8 = (3500*0.0501)/(35000000*0.0101).

FAQ

What is Area Required in Legs of Vertical Stirrup?
The Area Required in Legs of Vertical Stirrup formula is defined as the area which is required to resist the excess shear and is represented as Av = (V'*s)/(fv*d') or Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance). 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, 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 & Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.
How to calculate Area Required in Legs of Vertical Stirrup?
The Area Required in Legs of 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*Compression to Centroid Reinforcement Distance). To calculate Area Required in Legs of Vertical Stirrup, you need Excess Shear (V'), Stirrup Spacing (s), Allowable Stress in Stirrup Steel (fv) & Compression to Centroid Reinforcement Distance (d'). With our tool, you need to enter the respective value for Excess Shear, Stirrup Spacing, Allowable Stress in Stirrup Steel & Compression to Centroid Reinforcement Distance 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 & Compression to Centroid Reinforcement Distance. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))
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