Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Calculator

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

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Stirrups Spacing given Cross-Sectional Area of Web Reinforcement

Formula

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

Example

`"50.0004mm"=("8772mm²"*"100MPa"*"285mm")/("500.00N"-"495N")`

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Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
s = (A_v*f_v*d)/(V-V')
This formula uses 6 Variables

Variables Used

Stirrup Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area of Web Reinforcement: 8772 Square Millimeter --> 0.008772 Square 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)
Total Shear: 500 Newton --> 500 Newton No Conversion Required
Shear that Concrete should carry: 495 Newton --> 495 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = (A_v*f_v*d)/(V-V') --> (0.008772*100*0.285)/(500-495)

Evaluating ... ...

s = 0.0500004

STEP 3: Convert Result to Output's Unit

0.0500004 Meter -->50.0004 Millimeter (Check conversion here)

FINAL ANSWER

50.0004 Millimeter <-- Stirrup Spacing

(Calculation completed in 00.020 seconds)

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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)

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement Formula

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)
s = (A_v*f_v*d)/(V-V')

What is the minimum Stirrups Spacing in Beams?

The minimum vertical distance between two main bars shall be
(a) 15 mm,
b) two-third of the nominal size of coarse aggregate, or
(c) maximum size of the bar or whichever is greater.

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.

How to Calculate Stirrups Spacing given Cross-Sectional Area of Web Reinforcement?

Stirrups Spacing given Cross-Sectional Area of Web Reinforcement calculator uses 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) to calculate the Stirrup Spacing, The Stirrups Spacing given Cross-Sectional Area of Web Reinforcement formula is defined as the distance between consecutive stirrups in a beam. The aim of the structure engineer is to provide the spacing between the stirrups in the best possible and economical way. Stirrup Spacing is denoted by s symbol.

How to calculate Stirrups Spacing given Cross-Sectional Area of Web Reinforcement using this online calculator? To use this online calculator for Stirrups Spacing given Cross-Sectional Area of Web Reinforcement, enter Cross-Sectional Area of Web Reinforcement (A_v), Allowable Unit Stress in Web Reinforcement (f_v), Effective Depth of Beam (d), Total Shear (V) & Shear that Concrete should carry (V') and hit the calculate button. Here is how the Stirrups Spacing given Cross-Sectional Area of Web Reinforcement calculation can be explained with given input values -> 50000.4 = (0.008772*100000000*0.285)/(500-495).

FAQ

What is Stirrups Spacing given Cross-Sectional Area of Web Reinforcement?

The Stirrups Spacing given Cross-Sectional Area of Web Reinforcement formula is defined as the distance between consecutive stirrups in a beam. The aim of the structure engineer is to provide the spacing between the stirrups in the best possible and economical way and is represented as s = (A_v*f_v*d)/(V-V') or 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). The cross-sectional area of web reinforcement in distance s measured parallel to longitudinal reinforcement, 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, Total Shear is the total shear force acting on a beam & The shear that concrete should carry alone.

How to calculate Stirrups Spacing given Cross-Sectional Area of Web Reinforcement?

The Stirrups Spacing given Cross-Sectional Area of Web Reinforcement formula is defined as the distance between consecutive stirrups in a beam. The aim of the structure engineer is to provide the spacing between the stirrups in the best possible and economical way is calculated using 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). To calculate Stirrups Spacing given Cross-Sectional Area of Web Reinforcement, you need Cross-Sectional Area of Web Reinforcement (A_v), Allowable Unit Stress in Web Reinforcement (f_v), Effective Depth of Beam (d), Total Shear (V) & Shear that Concrete should carry (V'). With our tool, you need to enter the respective value for Cross-Sectional Area of Web Reinforcement, Allowable Unit Stress in Web Reinforcement, Effective Depth of Beam, Total Shear & Shear that Concrete should carry 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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