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

✖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.ⓘ Excess Shear given Stirrup Leg Area for Bars Bent [V'_LAB]			+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%
✖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.ⓘ Angle at which Stirrup is Inclined [α]			+10% -10%

✖Stirrup Area is the total cross-sectional area of the stirrup bars used.ⓘ Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances [A_v]

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

Formula

`"A"_{"v"} = ("V'"_{"LAB"}*"s")/("f"_{"v"}*"d'"*(cos("α")+sin("α")))`

Example

`"496.4454mm²"=("4785N/m²"*"50.1mm")/("35MPa"*"10.1mm"*(cos("30°")+sin("30°")))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
A_v = (V'_LAB*s)/(f_v*d'*(cos(α)+sin(α)))
This formula uses 2 Functions, 6 Variables

Functions Used

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., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Stirrup Area - (Measured in Square Meter) - Stirrup Area is the total cross-sectional area of the stirrup bars used.
Excess Shear given Stirrup Leg Area for Bars Bent - (Measured in Pascal) - 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.
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.
Angle at which Stirrup is Inclined - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Excess Shear given Stirrup Leg Area for Bars Bent: 4785 Newton per Square Meter --> 4785 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)
Angle at which Stirrup is Inclined: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = (V'_LAB*s)/(f_v*d'*(cos(α)+sin(α))) --> (4785*0.0501)/(35000000*0.0101*(cos(0.5235987755982)+sin(0.5235987755982)))

Evaluating ... ...

A_v = 0.00049644538054392

STEP 3: Convert Result to Output's Unit

0.00049644538054392 Square Meter -->496.44538054392 Square Millimeter (Check conversion here)

FINAL ANSWER

496.44538054392 ≈ 496.4454 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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NSS College of Engineering (NSSCE), Palakkad

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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

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

What is Bent-Up Bar?

The bent-up bar is the main reinforcement bent at a suitable angle to act as shear reinforcement. They are bent up to the supports where greater compressive force occurs.

How to Calculate 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 calculator 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 calculate 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 A_v symbol.

How to calculate Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances using this online calculator? To use this online calculator 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 (f_v), Compression to Centroid Reinforcement Distance (d') & Angle at which Stirrup is Inclined (α) and hit the calculate button. Here is how the Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances calculation can be explained with given input values -> 5E+8 = (4785*0.0501)/(35000000*0.0101*(cos(0.5235987755982)+sin(0.5235987755982))).

FAQ

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

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 and is represented as A_v = (V'_LAB*s)/(f_v*d'*(cos(α)+sin(α))) or 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))). 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, 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 & 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.

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

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 is calculated using 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 calculate Vertical Stirrup Leg Area when Group of Bars is Bent at Different Distances, you need Excess Shear given Stirrup Leg Area for Bars Bent (V'_LAB), Stirrup Spacing (s), Allowable Stress in Stirrup Steel (f_v), Compression to Centroid Reinforcement Distance (d') & Angle at which Stirrup is Inclined (α). With our tool, you need to enter the respective value for Excess Shear given Stirrup Leg Area for Bars Bent, Stirrup Spacing, Allowable Stress in Stirrup Steel, Compression to Centroid Reinforcement Distance & Angle at which Stirrup is Inclined 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 given Stirrup Leg Area for Bars Bent, Stirrup Spacing, Allowable Stress in Stirrup Steel, Compression to Centroid Reinforcement Distance & Angle at which Stirrup is Inclined. We can use 2 other way(s) to calculate the same, which is/are as follows -

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