Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear Calculator

✖Total Horizontal Shear is the shear force between the maximum positive moment at each end of steel beams or between the point of contra flexure in a continuous beam.ⓘ Total Horizontal Shear [V_h]			+10% -10%
✖Specified Minimum Yield Stress of longitudinal reinforcement is the minimum stress a reinforcement may experience that will cause plastic (permanent) deformation.ⓘ Specified Minimum Yield Stress [F_yr]			+10% -10%

✖Area of Longitudinal Reinforcement at the support within the effective area of the considered beam or column.ⓘ Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear [A_sr]

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Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Longitudinal Reinforcement = (2*Total Horizontal Shear)/Specified Minimum Yield Stress
A_sr = (2*V_h)/F_yr
This formula uses 3 Variables

Variables Used

Area of Longitudinal Reinforcement - (Measured in Square Meter) - Area of Longitudinal Reinforcement at the support within the effective area of the considered beam or column.
Total Horizontal Shear - (Measured in Newton) - Total Horizontal Shear is the shear force between the maximum positive moment at each end of steel beams or between the point of contra flexure in a continuous beam.
Specified Minimum Yield Stress - (Measured in Pascal) - Specified Minimum Yield Stress of longitudinal reinforcement is the minimum stress a reinforcement may experience that will cause plastic (permanent) deformation.

STEP 1: Convert Input(s) to Base Unit

Total Horizontal Shear: 4207.5 Kilonewton --> 4207500 Newton (Check conversion here)
Specified Minimum Yield Stress: 150 Megapascal --> 150000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sr = (2*V_h)/F_yr --> (2*4207500)/150000000

Evaluating ... ...

A_sr = 0.0561

STEP 3: Convert Result to Output's Unit

0.0561 Square Meter -->56100 Square Millimeter (Check conversion here)

FINAL ANSWER

56100 Square Millimeter <-- Area of Longitudinal Reinforcement

(Calculation completed in 00.004 seconds)

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Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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< Shear on Connectors Calculators

Specified Compressive Strength of Concrete given Total Horizontal Shear

LaTeX Go 28-Day Compressive Strength of Concrete = (2*Total Horizontal Shear)/(0.85*Actual Area of Effective Concrete Flange)

Actual Area of Effective Concrete Flange given Total Horizontal Shear

LaTeX Go Actual Area of Effective Concrete Flange = (2*Total Horizontal Shear)/(0.85*28-Day Compressive Strength of Concrete)

Total Horizontal Shear

LaTeX Go Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2

Total Horizontal Shear to be Resisted by Shear Connectors

LaTeX Go Total Horizontal Shear = (Area of Steel Beam*Yield Stress of Steel)/2

Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear Formula

LaTeX Go

Area of Longitudinal Reinforcement = (2*Total Horizontal Shear)/Specified Minimum Yield Stress
A_sr = (2*V_h)/F_yr

What is Total Horizontal Shear?

The Total Horizontal Shear is a measure of the resistance to shear stress along the longitudinal axis of a member.

What is a Shear Connector?

The Shear Connector is the steel projection provided on the top flange of steel in a span of a construction building with heavy concentrated loads.

How to Calculate Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear?

Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear calculator uses Area of Longitudinal Reinforcement = (2*Total Horizontal Shear)/Specified Minimum Yield Stress to calculate the Area of Longitudinal Reinforcement, The Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear formula is defined as an area of longitudinal reinforcing steel considered to act compositely with the steel beam in negative moment regions. Area of Longitudinal Reinforcement is denoted by A_sr symbol.

How to calculate Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear using this online calculator? To use this online calculator for Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear, enter Total Horizontal Shear (V_h) & Specified Minimum Yield Stress (F_yr) and hit the calculate button. Here is how the Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear calculation can be explained with given input values -> 5.6E+7 = (2*4207.5)/150000000.

FAQ

What is Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear?

The Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear formula is defined as an area of longitudinal reinforcing steel considered to act compositely with the steel beam in negative moment regions and is represented as A_sr = (2*V_h)/F_yr or Area of Longitudinal Reinforcement = (2*Total Horizontal Shear)/Specified Minimum Yield Stress. Total Horizontal Shear is the shear force between the maximum positive moment at each end of steel beams or between the point of contra flexure in a continuous beam & Specified Minimum Yield Stress of longitudinal reinforcement is the minimum stress a reinforcement may experience that will cause plastic (permanent) deformation.

How to calculate Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear?

The Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear formula is defined as an area of longitudinal reinforcing steel considered to act compositely with the steel beam in negative moment regions is calculated using Area of Longitudinal Reinforcement = (2*Total Horizontal Shear)/Specified Minimum Yield Stress. To calculate Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear, you need Total Horizontal Shear (V_h) & Specified Minimum Yield Stress (F_yr). With our tool, you need to enter the respective value for Total Horizontal Shear & Specified Minimum Yield Stress 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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