Area Required in Legs of Vertical Stirrup Calculator

✖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.ⓘ 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%
✖Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.ⓘ Compression to Centroid Reinforcement Distance [d']			+10% -10%

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

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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)
A_v = (V'*s)/(f_v*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

A_v = (V'*s)/(f_v*d') --> (3500*0.0501)/(35000000*0.0101)

Evaluating ... ...

A_v = 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 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Bhilai Institute of Technology (BIT), Raipur

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< Allowable Shear Calculators

Area Required in Legs of Vertical Stirrup

LaTeX Go Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)

Distance from Extreme Compression to Centroid given Nominal Unit Shear Stress

LaTeX Go Compression to Centroid Reinforcement Distance = Total Shear/(Beam Width for Nominal Shear*Nominal Shear Stress)

Nominal Unit Shear Stress

LaTeX Go Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance)

Shear given Nominal Unit Shear Stress

LaTeX Go Total Shear = Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance*Nominal Shear Stress

Area Required in Legs of Vertical Stirrup Formula

LaTeX Go

Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)
A_v = (V'*s)/(f_v*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 A_v 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 (f_v) & 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 A_v = (V'*s)/(f_v*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 (f_v) & 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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