Shear Carried by Concrete 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 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%
✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing [s]			+10% -10%

✖The shear that concrete should carry alone.ⓘ Shear Carried by Concrete given Cross-Sectional Area of Web Reinforcement [V']

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Formula

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

Formula

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

Example

`"495.0099N"="500.00N"-(("8772mm²"*"100MPa"*"285mm")/"50.1mm")`

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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-((A_v*f_v*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-((A_v*f_v*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 00.031 seconds)

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Osmania University (OU), Hyderabad

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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)

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

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-((A_v*f_v*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 (A_v), Allowable Unit Stress in Web Reinforcement (f_v), 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-((A_v*f_v*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 (A_v), Allowable Unit Stress in Web Reinforcement (f_v), 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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