Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Calculator

✖Stirrup Area is the total cross-sectional area of the stirrup bars used.ⓘ Stirrup Area [A_v]			+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%
✖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.ⓘ Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances [s]

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Formula

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Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances

Formula

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

Example

`"50.45872mm"=("500mm²"*"35MPa"*"10.1mm"*(sin("30°")+cos("30°")))/("4785N/m²")`

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Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
s = (A_v*f_v*d'*(sin(α)+cos(α)))/(V'_LAB)
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 Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Stirrup Area - (Measured in Square Meter) - Stirrup Area is the total cross-sectional area of the stirrup bars used.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Stirrup Area: 500 Square Millimeter --> 0.0005 Square 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)
Excess Shear given Stirrup Leg Area for Bars Bent: 4785 Newton per Square Meter --> 4785 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = (A_v*f_v*d'*(sin(α)+cos(α)))/(V'_LAB) --> (0.0005*35000000*0.0101*(sin(0.5235987755982)+cos(0.5235987755982)))/(4785)

Evaluating ... ...

s = 0.0504587231178473

STEP 3: Convert Result to Output's Unit

0.0504587231178473 Meter -->50.4587231178473 Millimeter (Check conversion here)

FINAL ANSWER

50.4587231178473 ≈ 50.45872 Millimeter <-- Stirrup Spacing

(Calculation completed in 00.004 seconds)

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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

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances Formula

What are Bent-Up Bars?

Bent-up bars are the main reinforcements bent at a suitable angle to act as shear reinforcement. Reinforcements are bent up to the supports where greater compressive force occurs.

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 Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances?

Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances calculator uses 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) to calculate the Stirrup Spacing, The Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances formula is defined as the distance between the two bars. The minimum spacing between two bars can be taken as approximately 50-75 mm. Stirrup Spacing is denoted by s symbol.

How to calculate Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances using this online calculator? To use this online calculator for Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances, enter Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v), Compression to Centroid Reinforcement Distance (d'), Angle at which Stirrup is Inclined (α) & Excess Shear given Stirrup Leg Area for Bars Bent (V'_LAB) and hit the calculate button. Here is how the Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances calculation can be explained with given input values -> 49959.13 = (0.0005*35000000*0.0101*(sin(0.5235987755982)+cos(0.5235987755982)))/(4785).

FAQ

What is Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances?

The Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances formula is defined as the distance between the two bars. The minimum spacing between two bars can be taken as approximately 50-75 mm and is represented as s = (A_v*f_v*d'*(sin(α)+cos(α)))/(V'_LAB) or 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). Stirrup Area is the total cross-sectional area of the stirrup bars used, 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 & 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.

How to calculate Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances?

The Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances formula is defined as the distance between the two bars. The minimum spacing between two bars can be taken as approximately 50-75 mm is calculated using 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). To calculate Stirrups Spacing given Stirrup Leg Area for Group of Bars Bent up Different Distances, you need Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v), Compression to Centroid Reinforcement Distance (d'), Angle at which Stirrup is Inclined (α) & Excess Shear given Stirrup Leg Area for Bars Bent (V'_LAB). With our tool, you need to enter the respective value for Stirrup Area, Allowable Stress in Stirrup Steel, Compression to Centroid Reinforcement Distance, Angle at which Stirrup is Inclined & Excess Shear given Stirrup Leg Area for Bars Bent 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 Spacing?

In this formula, Stirrup Spacing uses Stirrup Area, Allowable Stress in Stirrup Steel, Compression to Centroid Reinforcement Distance, Angle at which Stirrup is Inclined & Excess Shear given Stirrup Leg Area for Bars Bent. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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