Total Shear given Cross-Sectional Area of Web Reinforcement Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
V = ((Av*fv*d)/s)+V'
This formula uses 6 Variables
Variables Used
Total Shear - (Measured in Newton) - Total Shear is the total shear force acting on a beam.
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.
Stirrup Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
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)
Stirrup Spacing: 50.1 Millimeter --> 0.0501 Meter (Check conversion here)
Shear that Concrete should carry: 495 Newton --> 495 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = ((Av*fv*d)/s)+V' --> ((0.008772*100*0.285)/0.0501)+495
Evaluating ... ...
V = 499.99005988024
STEP 3: Convert Result to Output's Unit
499.99005988024 Newton --> No Conversion Required
FINAL ANSWER
499.99005988024 499.9901 Newton <-- Total Shear
(Calculation completed in 00.020 seconds)

Credits

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)

Total Shear given Cross-Sectional Area of Web Reinforcement Formula

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

Define Shear Force.

A shear force is a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. When a structural member experiences failure by shear, two parts of it are pushed in different directions, for example, when a piece of paper is cut by scissors.

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 Total Shear given Cross-Sectional Area of Web Reinforcement?

Total Shear given Cross-Sectional Area of Web Reinforcement calculator uses 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 to calculate the Total Shear, The Total Shear given Cross-Sectional Area of Web Reinforcement formula is defined as the total amount of shear forcing acting on the web Reinforcement. Total Shear is denoted by V symbol.

How to calculate Total Shear given Cross-Sectional Area of Web Reinforcement using this online calculator? To use this online calculator for Total Shear given Cross-Sectional Area of Web Reinforcement, enter Cross-Sectional Area of Web Reinforcement (Av), Allowable Unit Stress in Web Reinforcement (fv), Effective Depth of Beam (d), Stirrup Spacing (s) & Shear that Concrete should carry (V') and hit the calculate button. Here is how the Total Shear given Cross-Sectional Area of Web Reinforcement calculation can be explained with given input values -> 499.9901 = ((0.008772*100000000*0.285)/0.0501)+495.

FAQ

What is Total Shear given Cross-Sectional Area of Web Reinforcement?
The Total Shear given Cross-Sectional Area of Web Reinforcement formula is defined as the total amount of shear forcing acting on the web Reinforcement and is represented as V = ((Av*fv*d)/s)+V' or 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. 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, Stirrup Spacing is the approximate minimum spacing between two bars in a section & The shear that concrete should carry alone.
How to calculate Total Shear given Cross-Sectional Area of Web Reinforcement?
The Total Shear given Cross-Sectional Area of Web Reinforcement formula is defined as the total amount of shear forcing acting on the web Reinforcement is calculated using 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. To calculate Total Shear given Cross-Sectional Area of Web Reinforcement, you need Cross-Sectional Area of Web Reinforcement (Av), Allowable Unit Stress in Web Reinforcement (fv), Effective Depth of Beam (d), Stirrup Spacing (s) & 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, Stirrup Spacing & 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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