Area of Steel Required in Vertical Stirrups Calculator

✖Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.ⓘ Nominal Shear Strength by Reinforcement [V_s]			+10% -10%
✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing [s]			+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%
✖The Centroidal Distance of Tension Reinforcement is the distance measured from external fiber to centroid of tension reinforcement.ⓘ Centroidal Distance of Tension Reinforcement [D_centroid]			+10% -10%

✖Area of Steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups.ⓘ Area of Steel Required in Vertical Stirrups [A_s]

⎘ Copy

👎

Formula

✖

Area of Steel Required in Vertical Stirrups

Formula

`"A"_{"s"} = ("V"_{"s"}*"s")/("fy"_{"steel"}*"D"_{"centroid"})`

Example

`"0.392864mm²"=("100MPa"*"50.1mm")/("250MPa"*"51.01mm")`

Calculator

LaTeX

Reset

👍

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

Area of Steel Required in Vertical Stirrups Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement)
A_s = (V_s*s)/(fy_steel*D_centroid)
This formula uses 5 Variables

Variables Used

Area of Steel required - (Measured in Square Meter) - Area of Steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups.
Nominal Shear Strength by Reinforcement - (Measured in Megapascal) - Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.
Stirrup Spacing - (Measured in Millimeter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
Centroidal Distance of Tension Reinforcement - (Measured in Millimeter) - The Centroidal Distance of Tension Reinforcement is the distance measured from external fiber to centroid of tension reinforcement.

STEP 1: Convert Input(s) to Base Unit

Nominal Shear Strength by Reinforcement: 100 Megapascal --> 100 Megapascal No Conversion Required
Stirrup Spacing: 50.1 Millimeter --> 50.1 Millimeter No Conversion Required
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Centroidal Distance of Tension Reinforcement: 51.01 Millimeter --> 51.01 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_s = (V_s*s)/(fy_steel*D_centroid) --> (100*50.1)/(250000000*51.01)

Evaluating ... ...

A_s = 3.92864144285434E-07

STEP 3: Convert Result to Output's Unit

3.92864144285434E-07 Square Meter -->0.392864144285434 Square Millimeter (Check conversion here)

FINAL ANSWER

0.392864144285434 ≈ 0.392864 Square Millimeter <-- Area of Steel required

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design for Beams and Ultimate Strength for Rectangular Beams with Tension Reinforcement » Shear Reinforcement » Area of Steel Required in Vertical Stirrups

Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 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

Area of Steel Required in Vertical Stirrups Formula

Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement)
A_s = (V_s*s)/(fy_steel*D_centroid)

How Area of Steel is Calculated?

Either one can decide the spacing of stirrups by assuming (considering the maximum spacing from codes) or one can decide the diameter of stirrup and assign an area and check for spacing.

How to Calculate Area of Steel Required in Vertical Stirrups?

Area of Steel Required in Vertical Stirrups calculator uses Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement) to calculate the Area of Steel required, The Area of Steel Required in Vertical Stirrups formula is defined as the amount of area of steel needed to resist the shear force. Area of Steel required is denoted by A_s symbol.

How to calculate Area of Steel Required in Vertical Stirrups using this online calculator? To use this online calculator for Area of Steel Required in Vertical Stirrups, enter Nominal Shear Strength by Reinforcement (V_s), Stirrup Spacing (s), Yield Strength of Steel (fy_steel) & Centroidal Distance of Tension Reinforcement (D_centroid) and hit the calculate button. Here is how the Area of Steel Required in Vertical Stirrups calculation can be explained with given input values -> 392941.2 = (100000000*0.0501)/(250000000*0.05101).

FAQ

What is Area of Steel Required in Vertical Stirrups?

The Area of Steel Required in Vertical Stirrups formula is defined as the amount of area of steel needed to resist the shear force and is represented as A_s = (V_s*s)/(fy_steel*D_centroid) or Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement). Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses, Stirrup Spacing is the approximate minimum spacing between two bars in a section, Yield Strength of Steel is the level of stress that corresponds to the yield point & The Centroidal Distance of Tension Reinforcement is the distance measured from external fiber to centroid of tension reinforcement.

How to calculate Area of Steel Required in Vertical Stirrups?

The Area of Steel Required in Vertical Stirrups formula is defined as the amount of area of steel needed to resist the shear force is calculated using Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement). To calculate Area of Steel Required in Vertical Stirrups, you need Nominal Shear Strength by Reinforcement (V_s), Stirrup Spacing (s), Yield Strength of Steel (fy_steel) & Centroidal Distance of Tension Reinforcement (D_centroid). With our tool, you need to enter the respective value for Nominal Shear Strength by Reinforcement, Stirrup Spacing, Yield Strength of Steel & Centroidal Distance of Tension Reinforcement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search