Effective Depth given Cross-Sectional Area of Web Reinforcement Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
d = ((V-V')*s)/(fv*Av)
This formula uses 6 Variables
Variables Used
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.
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.
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.
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
Cross-Sectional Area of Web Reinforcement: 8772 Square Millimeter --> 0.008772 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = ((V-V')*s)/(fv*Av) --> ((500-495)*0.0501)/(100*0.008772)
Evaluating ... ...
d = 0.285567715458276
STEP 3: Convert Result to Output's Unit
0.285567715458276 Meter -->285.567715458276 Millimeter (Check conversion here)
FINAL ANSWER
285.567715458276 285.5677 Millimeter <-- Effective Depth of Beam
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1700+ more calculators!

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)

Effective Depth given Cross-Sectional Area of Web Reinforcement Formula

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)
d = ((V-V')*s)/(fv*Av)

Define Effective Depth of Beam.

Effective depth of the beam and slab is the distance between extreme compressive concrete fibre to the centroid of tension reinforcement in section under flexural condition. And in another words it is described as distance from the centroid of tension Steel to theoutermost face of compression fibre.

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 Effective Depth given Cross-Sectional Area of Web Reinforcement?

Effective Depth given Cross-Sectional Area of Web Reinforcement calculator uses 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) to calculate the Effective Depth of Beam, The Effective Depth given Cross-Sectional Area of Web Reinforcement formula is defined as the distance between extreme compressive concrete fiber to the centroid of tension reinforcement in the section under flexural condition. Effective Depth of Beam is denoted by d symbol.

How to calculate Effective Depth given Cross-Sectional Area of Web Reinforcement using this online calculator? To use this online calculator for Effective Depth given 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 (fv) & Cross-Sectional Area of Web Reinforcement (Av) and hit the calculate button. Here is how the Effective Depth given Cross-Sectional Area of Web Reinforcement calculation can be explained with given input values -> 285567.7 = ((500-495)*0.0501)/(100000000*0.008772).

FAQ

What is Effective Depth given Cross-Sectional Area of Web Reinforcement?
The Effective Depth given Cross-Sectional Area of Web Reinforcement formula is defined as the distance between extreme compressive concrete fiber to the centroid of tension reinforcement in the section under flexural condition and is represented as d = ((V-V')*s)/(fv*Av) or 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). 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 cross-sectional area of web reinforcement in distance s measured parallel to longitudinal reinforcement.
How to calculate Effective Depth given Cross-Sectional Area of Web Reinforcement?
The Effective Depth given Cross-Sectional Area of Web Reinforcement formula is defined as the distance between extreme compressive concrete fiber to the centroid of tension reinforcement in the section under flexural condition is calculated using 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). To calculate Effective Depth given 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 (fv) & Cross-Sectional Area of Web Reinforcement (Av). 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 & Cross-Sectional Area of Web Reinforcement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Effective Depth of Beam?
In this formula, Effective Depth of Beam uses Total Shear, Shear that Concrete should carry, Stirrup Spacing, Allowable Unit Stress in Web Reinforcement & Cross-Sectional Area of Web Reinforcement. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Effective Depth of Beam = Total Shear/(Width of Beam*Shearing Unit Stress)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!