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Total Horizontal Shear between Interior Support and Point of Contraflexure Formula

GoTotal Horizontal Shear Formula

GoTotal Horizontal Shear to be Resisted by Shear Connectors Formula

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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. Check FAQs

V h = \frac{A sr \cdot F yr}{2}

V_h - Total Horizontal Shear?A_sr - Area of Longitudinal Reinforcement?F_yr - Specified Minimum Yield Stress?

Total Horizontal Shear between Interior Support and Point of Contraflexure Example

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Here is how the Total Horizontal Shear between Interior Support and Point of Contraflexure equation looks like with Values.

Here is how the Total Horizontal Shear between Interior Support and Point of Contraflexure equation looks like with Units.

Here is how the Total Horizontal Shear between Interior Support and Point of Contraflexure equation looks like.

4207.5 = \frac{56100 \cdot 150}{2}

4207.5kN = \frac{56100mm² \cdot 150MPa}{2}

4207.5 = \frac{56100 \cdot 150}{2}

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Total Horizontal Shear between Interior Support and Point of Contraflexure Solution

Follow our step by step solution on how to calculate Total Horizontal Shear between Interior Support and Point of Contraflexure?

FIRST Step Consider the formula

V h = \frac{A sr \cdot F yr}{2}

Next Step Substitute values of Variables

∴

V h = \frac{56100mm² \cdot 150MPa}{2}

Next Step Convert Units

∴

V h = \frac{0.0561m² \cdot 1.5E+8Pa}{2}

Next Step Prepare to Evaluate

∴

V h = \frac{0.0561 \cdot 1.5E+8}{2}

Next Step Evaluate

∴

V h = 4207500N

LAST Step Convert to Output's Unit

∴

V h = 4207.5kN

Total Horizontal Shear between Interior Support and Point of Contraflexure Formula Elements

Variables

Total Horizontal Shear

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.

Symbol: V_h

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Total Horizontal Shear

Area of Longitudinal Reinforcement

Area of Longitudinal Reinforcement at the support within the effective area of the considered beam or column.

Symbol: A_sr

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Longitudinal Reinforcement

Specified Minimum Yield Stress

Specified Minimum Yield Stress of longitudinal reinforcement is the minimum stress a reinforcement may experience that will cause plastic (permanent) deformation.

Symbol: F_yr

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Specified Minimum Yield Stress

Other Formulas to find Total Horizontal Shear

Go Total Horizontal Shear

V h = \frac{0.85 \cdot f c \cdot A c}{2}

Go Total Horizontal Shear to be Resisted by Shear Connectors

V h = \frac{A s \cdot F y}{2}

Other formulas in Shear on Connectors category

Go Specified Compressive Strength of Concrete given Total Horizontal Shear

f c = \frac{2 \cdot V h}{0.85 \cdot A c}

Go Actual Area of Effective Concrete Flange given Total Horizontal Shear

A c = \frac{2 \cdot V h}{0.85 \cdot f c}

Go Area of Steel Beam given Total Horizontal Shear to be Resisted by Shear Connectors

A s = \frac{2 \cdot V h}{F y}

Go Yield Strength of Steel given Total Horizontal Shear to be Resisted by Shear Connectors

F y = \frac{2 \cdot V h}{A s}

How to Evaluate Total Horizontal Shear between Interior Support and Point of Contraflexure?

Total Horizontal Shear between Interior Support and Point of Contraflexure evaluator uses Total Horizontal Shear = (Area of Longitudinal Reinforcement*Specified Minimum Yield Stress)/2 to evaluate the Total Horizontal Shear, The Total Horizontal Shear between Interior Support and Point of Contraflexure formula is defined as a measure of the resistance to shear stress along the longitudinal axis of a member considering longitudinal reinforcing to act compositely with the steel beam in negative moment regions. Total Horizontal Shear is denoted by V_h symbol.

How to evaluate Total Horizontal Shear between Interior Support and Point of Contraflexure using this online evaluator? To use this online evaluator for Total Horizontal Shear between Interior Support and Point of Contraflexure, enter Area of Longitudinal Reinforcement (A_sr) & Specified Minimum Yield Stress (F_yr) and hit the calculate button.

FAQs on Total Horizontal Shear between Interior Support and Point of Contraflexure

What is the formula to find Total Horizontal Shear between Interior Support and Point of Contraflexure?

The formula of Total Horizontal Shear between Interior Support and Point of Contraflexure is expressed as Total Horizontal Shear = (Area of Longitudinal Reinforcement*Specified Minimum Yield Stress)/2. Here is an example- 4207.5 = (0.0561*150000000)/2.

How to calculate Total Horizontal Shear between Interior Support and Point of Contraflexure?

With Area of Longitudinal Reinforcement (A_sr) & Specified Minimum Yield Stress (F_yr) we can find Total Horizontal Shear between Interior Support and Point of Contraflexure using the formula - Total Horizontal Shear = (Area of Longitudinal Reinforcement*Specified Minimum Yield Stress)/2.

What are the other ways to Calculate Total Horizontal Shear?

Here are the different ways to Calculate Total Horizontal Shear-

Total Horizontal Shear=(0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2
Total Horizontal Shear=(Area of Steel Beam*Yield Stress of Steel)/2

Can the Total Horizontal Shear between Interior Support and Point of Contraflexure be negative?

Yes, the Total Horizontal Shear between Interior Support and Point of Contraflexure, measured in Force can be negative.

Which unit is used to measure Total Horizontal Shear between Interior Support and Point of Contraflexure?

Total Horizontal Shear between Interior Support and Point of Contraflexure is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Total Horizontal Shear between Interior Support and Point of Contraflexure can be measured.

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