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

STEP 0: Pre-Calculation Summary
Formula Used
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)
V' = V-((Av*fv*d)/s)
This formula uses 6 Variables
Variables Used
Shear that Concrete should carry - (Measured in Newton) - The shear that concrete should carry alone.
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.
STEP 1: Convert Input(s) to Base Unit
Total Shear: 500 Newton --> 500 Newton No Conversion Required
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V' = V-((Av*fv*d)/s) --> 500-((0.008772*100*0.285)/0.0501)
Evaluating ... ...
V' = 495.00994011976
STEP 3: Convert Result to Output's Unit
495.00994011976 Newton --> No Conversion Required
FINAL ANSWER
495.00994011976 495.0099 Newton <-- Shear that Concrete should carry
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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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)

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

​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)
V' = V-((Av*fv*d)/s)

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.

How to Calculate Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement?

Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement calculator uses 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) to calculate the Shear that Concrete should carry, The Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement formula is defined as the force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. Shear that Concrete should carry is denoted by V' symbol.

How to calculate Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement using this online calculator? To use this online calculator for Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement, enter Total Shear (V), Cross-Sectional Area of Web Reinforcement (Av), Allowable Unit Stress in Web Reinforcement (fv), Effective Depth of Beam (d) & Stirrup Spacing (s) and hit the calculate button. Here is how the Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement calculation can be explained with given input values -> 495.0099 = 500-((0.008772*100000000*0.285)/0.0501).

FAQ

What is Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement?
The Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement formula is defined as the force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction and is represented as V' = V-((Av*fv*d)/s) or 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 is the total shear force acting on a beam, 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.
How to calculate Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement?
The Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement formula is defined as the force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction is calculated using 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). To calculate Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement, you need Total Shear (V), Cross-Sectional Area of Web Reinforcement (Av), Allowable Unit Stress in Web Reinforcement (fv), Effective Depth of Beam (d) & Stirrup Spacing (s). With our tool, you need to enter the respective value for Total Shear, Cross-Sectional Area of Web Reinforcement, Allowable Unit Stress in Web Reinforcement, Effective Depth of Beam & Stirrup Spacing 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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