Cross-Sectional Area of Web Reinforcement Calculator

✖Total Shear is the total shear force acting on a beam.ⓘ Total Shear [V]			+10% -10%
✖The shear that concrete should carry alone.ⓘ Shear that Concrete should carry [V']			+10% -10%
✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing [s]			+10% -10%
✖Allowable Unit Stress in Web Reinforcement is defined as total force acting to the unit area of the reinforcement.ⓘ Allowable Unit Stress in Web Reinforcement [f_v]			+10% -10%
✖The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.ⓘ Effective Depth of Beam [d]			+10% -10%

✖The cross-sectional area of web reinforcement in distance s measured parallel to longitudinal reinforcement.ⓘ Cross-Sectional Area of Web Reinforcement [A_v]

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Formula

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Cross-Sectional Area of Web Reinforcement

Formula

`"A"_{"v"} = ("V"-"V'")*"s"/("f"_{"v"}*"d")`

Example

`"8789.474mm²"=("500.00N"-"495N")*"50.1mm"/("100MPa"*"285mm")`

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Cross-Sectional Area of Web Reinforcement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area of Web Reinforcement = (Total Shear-Shear that Concrete should carry)*Stirrup Spacing/(Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)
A_v = (V-V')*s/(f_v*d)
This formula uses 6 Variables

Variables Used

Cross-Sectional Area of Web Reinforcement - (Measured in Square Meter) - The cross-sectional area of web reinforcement in distance s measured parallel to longitudinal reinforcement.
Total Shear - (Measured in Newton) - Total Shear is the total shear force acting on a beam.
Shear that Concrete should carry - (Measured in Newton) - The shear that concrete should carry alone.
Stirrup Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Allowable Unit Stress in Web Reinforcement - (Measured in Megapascal) - Allowable Unit Stress in Web Reinforcement is defined as total force acting to the unit area of the reinforcement.
Effective Depth of Beam - (Measured in Meter) - The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

STEP 1: Convert Input(s) to Base Unit

Total Shear: 500 Newton --> 500 Newton No Conversion Required
Shear that Concrete should carry: 495 Newton --> 495 Newton No Conversion Required
Stirrup Spacing: 50.1 Millimeter --> 0.0501 Meter (Check conversion here)
Allowable Unit Stress in Web Reinforcement: 100 Megapascal --> 100 Megapascal No Conversion Required
Effective Depth of Beam: 285 Millimeter --> 0.285 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = (V-V')*s/(f_v*d) --> (500-495)*0.0501/(100*0.285)

Evaluating ... ...

A_v = 0.00878947368421053

STEP 3: Convert Result to Output's Unit

0.00878947368421053 Square Meter -->8789.47368421053 Square Millimeter (Check conversion here)

FINAL ANSWER

8789.47368421053 ≈ 8789.474 Square Millimeter <-- Cross-Sectional Area of Web Reinforcement

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Cummins College of Engineering for Women (CCEW), Pune

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< 8 Shear and Diagonal Tension in Beams Calculators

Effective Depth given Cross-Sectional Area of Web Reinforcement

Go Effective Depth of Beam = ((Total Shear-Shear that Concrete should carry)*Stirrup Spacing)/(Allowable Unit Stress in Web Reinforcement*Cross-Sectional Area of Web Reinforcement)

Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement

Go Shear that Concrete should carry = Total Shear-((Cross-Sectional Area of Web Reinforcement*Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)/Stirrup Spacing)

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement

Go Stirrup Spacing = (Cross-Sectional Area of Web Reinforcement*Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)/(Total Shear-Shear that Concrete should carry)

Total Shear given Cross-Sectional Area of Web Reinforcement

Go Total Shear = ((Cross-Sectional Area of Web Reinforcement*Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)/Stirrup Spacing)+Shear that Concrete should carry

Cross-Sectional Area of Web Reinforcement

Go Cross-Sectional Area of Web Reinforcement = (Total Shear-Shear that Concrete should carry)*Stirrup Spacing/(Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)

Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam

Go Effective Depth of Beam = Total Shear/(Width of Beam*Shearing Unit Stress)

Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam

Go Width of Beam = Total Shear/(Effective Depth of Beam*Shearing Unit Stress)

Shearing Unit Stress in Reinforced Concrete Beam

Go Shearing Unit Stress = Total Shear/(Width of Beam*Effective Depth of Beam)

Cross-Sectional Area of Web Reinforcement Formula

Cross-Sectional Area of Web Reinforcement = (Total Shear-Shear that Concrete should carry)*Stirrup Spacing/(Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam)
A_v = (V-V')*s/(f_v*d)

What is Web Reinforcement in Beams?

1. Steel bars, rods, etc., placed in a reinforced concrete member to resist shear and diagonal tension.
2. Additional metal plates connected to the web, 1 of a metal beam or girder to increase the strength of the web, 1.

How to Calculate Cross-Sectional Area of Web Reinforcement?

Cross-Sectional Area of Web Reinforcement calculator uses Cross-Sectional Area of Web Reinforcement = (Total Shear-Shear that Concrete should carry)*Stirrup Spacing/(Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam) to calculate the Cross-Sectional Area of Web Reinforcement, The Cross-Sectional Area of Web Reinforcement formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point. Cross-Sectional Area of Web Reinforcement is denoted by A_v symbol.

How to calculate Cross-Sectional Area of Web Reinforcement using this online calculator? To use this online calculator for Cross-Sectional Area of Web Reinforcement, enter Total Shear (V), Shear that Concrete should carry (V'), Stirrup Spacing (s), Allowable Unit Stress in Web Reinforcement (f_v) & Effective Depth of Beam (d) and hit the calculate button. Here is how the Cross-Sectional Area of Web Reinforcement calculation can be explained with given input values -> 8.8E+9 = (500-495)*0.0501/(100000000*0.285).

FAQ

What is Cross-Sectional Area of Web Reinforcement?

The Cross-Sectional Area of Web Reinforcement formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point and is represented as A_v = (V-V')*s/(f_v*d) or Cross-Sectional Area of Web Reinforcement = (Total Shear-Shear that Concrete should carry)*Stirrup Spacing/(Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam). Total Shear is the total shear force acting on a beam, The shear that concrete should carry alone, Stirrup Spacing is the approximate minimum spacing between two bars in a section, Allowable Unit Stress in Web Reinforcement is defined as total force acting to the unit area of the reinforcement & The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

How to calculate Cross-Sectional Area of Web Reinforcement?

The Cross-Sectional Area of Web Reinforcement formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point is calculated using Cross-Sectional Area of Web Reinforcement = (Total Shear-Shear that Concrete should carry)*Stirrup Spacing/(Allowable Unit Stress in Web Reinforcement*Effective Depth of Beam). To calculate Cross-Sectional Area of Web Reinforcement, you need Total Shear (V), Shear that Concrete should carry (V'), Stirrup Spacing (s), Allowable Unit Stress in Web Reinforcement (f_v) & Effective Depth of Beam (d). With our tool, you need to enter the respective value for Total Shear, Shear that Concrete should carry, Stirrup Spacing, Allowable Unit Stress in Web Reinforcement & Effective Depth of Beam 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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