Stirrup Area given Stirrup Spacing in Practical Design Calculator

✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing [s]			+10% -10%
✖Design of Shear Stress is the force per unit area acting parallel to a surface, causing deformation or sliding.ⓘ Design of Shear Stress [Vu]			+10% -10%
✖The Capacity Reduction Factor is a safety factor to account for the uncertainties in material strength, workmanship, dimensions etc.ⓘ Capacity Reduction Factor [Φ]			+10% -10%
✖28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.ⓘ 28 Day Compressive Strength of Concrete [f_c]			+10% -10%
✖Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.ⓘ Effective Depth of Beam [d_eff]			+10% -10%
✖Breadth of Web is the effective width of the member for flanged section.ⓘ Breadth of Web [bw]			+10% -10%
✖Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.ⓘ Yield Strength of Reinforcement [f_y]			+10% -10%

✖Stirrup Area is the total cross-sectional area of the stirrup bars used.ⓘ Stirrup Area given Stirrup Spacing in Practical Design [A_v]

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Stirrup Area given Stirrup Spacing in Practical Design

Formula

`"A"_{"v"} = ("s")*("Vu"-(2*"Φ"*sqrt("f"_{"c"})*"d"_{"eff"}*"bw"))/("Φ"*"f"_{"y"}*"d"_{"eff"})`

Example

`"2119.728mm²"=("50.1mm")*("1275kN"-(2*"0.75"*sqrt("15MPa")*"4m"*"300mm"))/("0.75"*"9.99MPa"*"4m")`

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Download Design for Beams and Ultimate Strength for Rectangular Beams with Tension Reinforcement Formulas PDF

Stirrup Area given Stirrup Spacing in Practical Design Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam)
A_v = (s)*(Vu-(2*Φ*sqrt(f_c)*d_eff*bw))/(Φ*f_y*d_eff)
This formula uses 1 Functions, 8 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Stirrup Area - (Measured in Square Meter) - Stirrup Area is the total cross-sectional area of the stirrup bars used.
Stirrup Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Design of Shear Stress - (Measured in Newton) - Design of Shear Stress is the force per unit area acting parallel to a surface, causing deformation or sliding.
Capacity Reduction Factor - The Capacity Reduction Factor is a safety factor to account for the uncertainties in material strength, workmanship, dimensions etc.
28 Day Compressive Strength of Concrete - (Measured in Pascal) - 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.
Effective Depth of Beam - (Measured in Meter) - Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.
Breadth of Web - (Measured in Meter) - Breadth of Web is the effective width of the member for flanged section.
Yield Strength of Reinforcement - (Measured in Pascal) - Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.

STEP 1: Convert Input(s) to Base Unit

Stirrup Spacing: 50.1 Millimeter --> 0.0501 Meter (Check conversion here)
Design of Shear Stress: 1275 Kilonewton --> 1275000 Newton (Check conversion here)
Capacity Reduction Factor: 0.75 --> No Conversion Required
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Effective Depth of Beam: 4 Meter --> 4 Meter No Conversion Required
Breadth of Web: 300 Millimeter --> 0.3 Meter (Check conversion here)
Yield Strength of Reinforcement: 9.99 Megapascal --> 9990000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = (s)*(Vu-(2*Φ*sqrt(f_c)*d_eff*bw))/(Φ*f_y*d_eff) --> (0.0501)*(1275000-(2*0.75*sqrt(15000000)*4*0.3))/(0.75*9990000*4)

Evaluating ... ...

A_v = 0.0021197275396009

STEP 3: Convert Result to Output's Unit

0.0021197275396009 Square Meter -->2119.7275396009 Square Millimeter (Check conversion here)

FINAL ANSWER

2119.7275396009 ≈ 2119.728 Square Millimeter <-- Stirrup Area

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design for Beams and Ultimate Strength for Rectangular Beams with Tension Reinforcement » Shear Reinforcement » Stirrup Area given Stirrup Spacing in Practical Design

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< 12 Shear Reinforcement Calculators

Nominal Shear Strength of Concrete

Go Nominal Shear Strength of Concrete = (1.9*sqrt(28 Day Compressive Strength of Concrete)+((2500*Reinforcement Ratio of Web Section)*((Shear Force in considered Section*Centroidal Distance of Tension Reinforcement)/Bending Moment of Considered Section)))*(Width of Beam Web*Centroidal Distance of Tension Reinforcement)

Stirrup Area given Stirrup Spacing in Practical Design

Go Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam)

Stirrup Spacing for Practical Design

Go Stirrup Spacing = (Stirrup Area*Capacity Reduction Factor*Yield Strength of Steel*Effective Depth of Beam)/((Design of Shear Stress)-((2*Capacity Reduction Factor)*sqrt(28 Day Compressive Strength of Concrete)*Breadth of Web*Effective Depth of Beam))

Stirrups area for Inclined Stirrups

Go Stirrup Area = (Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at which Stirrup is inclined)+cos(Angle at which Stirrup is inclined))*Yield Strength of Reinforcement*Effective Depth of Beam)

Area of Steel Required in Vertical Stirrups

Go Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement)

Stirrup Area given Support Angle

Go Stirrup Area = (Strength of Shear Reinforcement)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined)

Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle

Go Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined)

Bar Diameter given Development Length for Hooked Bar

Go Bar Diameter = ((Development Length)*(sqrt(28 Day Compressive Strength of Concrete)))/1200

Development Length for Hooked Bar

Go Development Length = (1200*Bar Diameter)/sqrt(28 Day Compressive Strength of Concrete)

Ultimate Shear Capacity of Beam Section

Go Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)

Nominal Shear Strength Provided by Reinforcement

Go Nominal Shear Strength by Reinforcement = Ultimate Shear Capacity-Nominal Shear Strength of Concrete

28 Day Concrete Compressive Strength given Development Length for Hooked Bar

Go 28 Day Compressive Strength of Concrete = ((1200*Bar Diameter)/(Development Length))^2

Stirrup Area given Stirrup Spacing in Practical Design Formula

What is a Stirrup?

A stirrup is a steel bar bent into a "U" or box shape and installed perpendicular to, or at an angle to the longitudinal reinforcement, and properly anchored in RCC members.

What is the Purpose of Stirrups?

The stirrups helps prevent the columns and beams from shear failure, diagonal tension stresses and possible buckling.

How to Calculate Stirrup Area given Stirrup Spacing in Practical Design?

Stirrup Area given Stirrup Spacing in Practical Design calculator uses Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam) to calculate the Stirrup Area, The Stirrup Area given Stirrup Spacing in Practical Design is defined as the area of stirrup for the design shear, stirrup spacing, capacity reduction factor, yield strength of reinforcing steel, effective width and depth of geometry of the member and respectively. Stirrup Area is denoted by A_v symbol.

How to calculate Stirrup Area given Stirrup Spacing in Practical Design using this online calculator? To use this online calculator for Stirrup Area given Stirrup Spacing in Practical Design, enter Stirrup Spacing (s), Design of Shear Stress (Vu), Capacity Reduction Factor (Φ), 28 Day Compressive Strength of Concrete (f_c), Effective Depth of Beam (d_eff), Breadth of Web (bw) & Yield Strength of Reinforcement (f_y) and hit the calculate button. Here is how the Stirrup Area given Stirrup Spacing in Practical Design calculation can be explained with given input values -> 2.1E+9 = (0.0501)*(1275000-(2*0.75*sqrt(15000000)*4*0.3))/(0.75*9990000*4).

FAQ

What is Stirrup Area given Stirrup Spacing in Practical Design?

The Stirrup Area given Stirrup Spacing in Practical Design is defined as the area of stirrup for the design shear, stirrup spacing, capacity reduction factor, yield strength of reinforcing steel, effective width and depth of geometry of the member and respectively and is represented as A_v = (s)*(Vu-(2*Φ*sqrt(f_c)*d_eff*bw))/(Φ*f_y*d_eff) or Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam). Stirrup Spacing is the approximate minimum spacing between two bars in a section, Design of Shear Stress is the force per unit area acting parallel to a surface, causing deformation or sliding, The Capacity Reduction Factor is a safety factor to account for the uncertainties in material strength, workmanship, dimensions etc, 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it, Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber, Breadth of Web is the effective width of the member for flanged section & Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.

How to calculate Stirrup Area given Stirrup Spacing in Practical Design?

The Stirrup Area given Stirrup Spacing in Practical Design is defined as the area of stirrup for the design shear, stirrup spacing, capacity reduction factor, yield strength of reinforcing steel, effective width and depth of geometry of the member and respectively is calculated using Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam). To calculate Stirrup Area given Stirrup Spacing in Practical Design, you need Stirrup Spacing (s), Design of Shear Stress (Vu), Capacity Reduction Factor (Φ), 28 Day Compressive Strength of Concrete (f_c), Effective Depth of Beam (d_eff), Breadth of Web (bw) & Yield Strength of Reinforcement (f_y). With our tool, you need to enter the respective value for Stirrup Spacing, Design of Shear Stress, Capacity Reduction Factor, 28 Day Compressive Strength of Concrete, Effective Depth of Beam, Breadth of Web & Yield Strength of Reinforcement 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 Stirrup Spacing, Design of Shear Stress, Capacity Reduction Factor, 28 Day Compressive Strength of Concrete, Effective Depth of Beam, Breadth of Web & Yield Strength of Reinforcement. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stirrup Area = (Strength of Shear Reinforcement)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined)
Stirrup Area = (Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at which Stirrup is inclined)+cos(Angle at which Stirrup is inclined))*Yield Strength of Reinforcement*Effective Depth of Beam)

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