Shear Reinforcement Area Calculator

✖Width of Beam Web is the distance between the two external points of beam web section.ⓘ Width of Beam Web [b_w]			+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 [f_y]			+10% -10%

✖Shear Reinforcement Area is designed to resist shear forces in excess of the shear strength of concrete.ⓘ Shear Reinforcement Area [A_v]

⎘ Copy

👎

Formula

✖

Shear Reinforcement Area

Formula

`"A"_{"v"} = (50*"b"_{"w"}*"s")/"f"_{"y"}`

Example

`"501.0011mm²"=(50*"50.00011mm"*"50.1mm")/"250MPa"`

Calculator

LaTeX

Reset

👍

Download Deflection Computations, Column Moments and Torsion Formulas PDF PDF Image

Shear Reinforcement Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel
A_v = (50*b_w*s)/f_y
This formula uses 4 Variables

Variables Used

Shear Reinforcement Area - (Measured in Square Meter) - Shear Reinforcement Area is designed to resist shear forces in excess of the shear strength of concrete.
Width of Beam Web - (Measured in Meter) - Width of Beam Web is the distance between the two external points of beam web section.
Stirrup Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Yield Strength of Steel - (Measured in Newton per Square Millimeter) - Yield Strength of Steel is the level of stress that corresponds to the yield point.

STEP 1: Convert Input(s) to Base Unit

Width of Beam Web: 50.00011 Millimeter --> 0.05000011 Meter (Check conversion here)
Stirrup Spacing: 50.1 Millimeter --> 0.0501 Meter (Check conversion here)
Yield Strength of Steel: 250 Megapascal --> 250 Newton per Square Millimeter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = (50*b_w*s)/f_y --> (50*0.05000011*0.0501)/250

Evaluating ... ...

A_v = 0.0005010011022

STEP 3: Convert Result to Output's Unit

0.0005010011022 Square Meter -->501.0011022 Square Millimeter (Check conversion here)

FINAL ANSWER

501.0011022 ≈ 501.0011 Square Millimeter <-- Shear Reinforcement Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Concrete Formulas » Deflection Computations, Column Moments and Torsion » Ultimate Strength Design for Torsion » Shear Reinforcement Area

Credits

Created by NIRANJAN MALL

Motilal Nehru National Institute of Technology Allahabad, Prayagraj (MNNIT Allahabad), Prayagraj

NIRANJAN MALL has created this Calculator and 10+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 5 Ultimate Strength Design for Torsion Calculators

Spacing of Closed Stirrups for Torsion

Go Stirrup Spacing = (Area of One Leg of Closed Stirrup*Capacity Reduction Factor*Yield Strength of Steel*Shorter Dimension between Legs of Closed Stirrup*Longer Dimension Legs of Closed Stirrup)/(Ultimate Design Torsional Moment-Capacity Reduction Factor*Maximum Concrete Torsion)

Maximum Ultimate Torsion for Torsion Effects

Go Ultimate Design Torsional Moment = Capacity Reduction Factor*(0.5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum of Component Rectangles for Cross Section)

Area of One Leg of Closed Stirrup given Shear Reinforcement Area

Go Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2

Ultimate Design Torsional Moment

Go Ultimate Design Torsional Moment = 0.85*5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum for Component Rectangles of Section

Shear Reinforcement Area

Go Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel

Shear Reinforcement Area Formula

Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel
A_v = (50*b_w*s)/f_y

What is Shear Reinforcement Area?

The shear reinforcement area is designed to resist shear forces in excess of the shear strength of concrete.

What are Stirrups?

In construction, a stirrup's meaning is an enclosed steel ring that supplements extra reinforcement to beams and bars, preventing deformation or crumple under the brick and mortar weight. The main purposes of stirrups in construction are as follows: It enhances the comprehensive strength of beams and columns

How to Calculate Shear Reinforcement Area?

Shear Reinforcement Area calculator uses Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel to calculate the Shear Reinforcement Area, The Shear Reinforcement Area formula is defined as designed to resist shear forces in excess of the shear strength of concrete. Shear Reinforcement Area is denoted by A_v symbol.

How to calculate Shear Reinforcement Area using this online calculator? To use this online calculator for Shear Reinforcement Area, enter Width of Beam Web (b_w), Stirrup Spacing (s) & Yield Strength of Steel (f_y) and hit the calculate button. Here is how the Shear Reinforcement Area calculation can be explained with given input values -> 5E+8 = (50*0.05000011*0.0501)/250000000.

FAQ

What is Shear Reinforcement Area?

The Shear Reinforcement Area formula is defined as designed to resist shear forces in excess of the shear strength of concrete and is represented as A_v = (50*b_w*s)/f_y or Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel. Width of Beam Web is the distance between the two external points of beam web section, 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.

How to calculate Shear Reinforcement Area?

The Shear Reinforcement Area formula is defined as designed to resist shear forces in excess of the shear strength of concrete is calculated using Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel. To calculate Shear Reinforcement Area, you need Width of Beam Web (b_w), Stirrup Spacing (s) & Yield Strength of Steel (f_y). With our tool, you need to enter the respective value for Width of Beam Web, Stirrup Spacing & Yield Strength of Steel 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