Stirrup Spacing for Practical Design Calculator

✖Stirrup Area is the total cross-sectional area of the stirrup bars used.ⓘ Stirrup Area [A_v]			+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%
✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [fy_steel]			+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%
✖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%
✖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%
✖Breadth of Web is the effective width of the member for flanged section.ⓘ Breadth of Web [bw]			+10% -10%

✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing for Practical Design [s]

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Stirrup Spacing for Practical Design Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
s = (A_v*Φ*fy_steel*d_eff)/((Vu)-((2*Φ)*sqrt(f_c)*bw*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 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.
Capacity Reduction Factor - The Capacity Reduction Factor is a safety factor to account for the uncertainties in material strength, workmanship, dimensions etc.
Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
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.
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.
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.
Breadth of Web - (Measured in Meter) - Breadth of Web is the effective width of the member for flanged section.

STEP 1: Convert Input(s) to Base Unit

Stirrup Area: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Capacity Reduction Factor: 0.75 --> No Conversion Required
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Effective Depth of Beam: 4 Meter --> 4 Meter No Conversion Required
Design of Shear Stress: 1275 Kilonewton --> 1275000 Newton (Check conversion here)
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Breadth of Web: 300 Millimeter --> 0.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = (A_v*Φ*fy_steel*d_eff)/((Vu)-((2*Φ)*sqrt(f_c)*bw*d_eff)) --> (0.0005*0.75*250000000*4)/((1275000)-((2*0.75)*sqrt(15000000)*0.3*4))

Evaluating ... ...

s = 0.295734647574048

STEP 3: Convert Result to Output's Unit

0.295734647574048 Meter -->295.734647574048 Millimeter (Check conversion here)

FINAL ANSWER

295.734647574048 ≈ 295.7346 Millimeter <-- Stirrup Spacing

(Calculation completed in 00.004 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 Spacing for Practical Design

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Bhilai Institute of Technology (BIT), Raipur

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< Shear Reinforcement Calculators

Nominal Shear Strength of Concrete

LaTeX 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)

Area of Steel Required in Vertical Stirrups

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

Ultimate Shear Capacity of Beam Section

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

Nominal Shear Strength Provided by Reinforcement

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

Stirrup Spacing for Practical Design Formula

LaTeX Go

What is Stirrup?

Stirrup refers to a closed-loop of bars provided in order to hold the primary reinforcement bars together and effectively resist buckling in columns and beams.

What is Spacing in Stirrup?

The spacing in stirrup is defined as the distance between consecutive stirrups placed in concrete members.

How to Calculate Stirrup Spacing for Practical Design?

Stirrup Spacing for Practical Design calculator uses 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)) to calculate the Stirrup Spacing, The Stirrup Spacing for Practical Design is defined as the stirrup spacing for the design shear, stirrup area, and geometry of the member. Stirrup Spacing is denoted by s symbol.

How to calculate Stirrup Spacing for Practical Design using this online calculator? To use this online calculator for Stirrup Spacing for Practical Design, enter Stirrup Area (A_v), Capacity Reduction Factor (Φ), Yield Strength of Steel (fy_steel), Effective Depth of Beam (d_eff), Design of Shear Stress (Vu), 28 Day Compressive Strength of Concrete (f_c) & Breadth of Web (bw) and hit the calculate button. Here is how the Stirrup Spacing for Practical Design calculation can be explained with given input values -> 295734.6 = (0.0005*0.75*250000000*4)/((1275000)-((2*0.75)*sqrt(15000000)*0.3*4)).

FAQ

What is Stirrup Spacing for Practical Design?

The Stirrup Spacing for Practical Design is defined as the stirrup spacing for the design shear, stirrup area, and geometry of the member and is represented as s = (A_v*Φ*fy_steel*d_eff)/((Vu)-((2*Φ)*sqrt(f_c)*bw*d_eff)) or 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)). Stirrup Area is the total cross-sectional area of the stirrup bars used, The Capacity Reduction Factor is a safety factor to account for the uncertainties in material strength, workmanship, dimensions etc, Yield Strength of Steel is the level of stress that corresponds to the yield point, Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber, Design of Shear Stress is the force per unit area acting parallel to a surface, causing deformation or sliding, 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it & Breadth of Web is the effective width of the member for flanged section.

How to calculate Stirrup Spacing for Practical Design?

The Stirrup Spacing for Practical Design is defined as the stirrup spacing for the design shear, stirrup area, and geometry of the member is calculated using 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)). To calculate Stirrup Spacing for Practical Design, you need Stirrup Area (A_v), Capacity Reduction Factor (Φ), Yield Strength of Steel (fy_steel), Effective Depth of Beam (d_eff), Design of Shear Stress (Vu), 28 Day Compressive Strength of Concrete (f_c) & Breadth of Web (bw). With our tool, you need to enter the respective value for Stirrup Area, Capacity Reduction Factor, Yield Strength of Steel, Effective Depth of Beam, Design of Shear Stress, 28 Day Compressive Strength of Concrete & Breadth of Web and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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