Effective Depth given 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 cross-sectional area of web reinforcement in distance s measured parallel to longitudinal reinforcement.ⓘ Cross-Sectional Area of Web Reinforcement [A_v]			+10% -10%

✖The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.ⓘ Effective Depth given Cross-Sectional Area of Web Reinforcement [d]

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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)/(f_v*A_v)
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)/(f_v*A_v) --> ((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 00.021 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Indian Institute of Information Technology (IIIT), Bhopal

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< Shear and Diagonal Tension in Beams Calculators

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

LaTeX 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)

Total Shear given Cross-Sectional Area of Web Reinforcement

LaTeX 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

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

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

Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam

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

Effective Depth given Cross-Sectional Area of Web Reinforcement Formula

LaTeX Go

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 (f_v) & Cross-Sectional Area of Web Reinforcement (A_v) 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)/(f_v*A_v) 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 (f_v) & Cross-Sectional Area of Web Reinforcement (A_v). 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)

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