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

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

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

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

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

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Here is how the Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear equation looks like with Values.

Here is how the Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear equation looks like with Units.

Here is how the Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear equation looks like.

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

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

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

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

Follow our step by step solution on how to calculate Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A sr = \frac{2 \cdot 4207.5kN}{150MPa}

Next Step Convert Units

∴

A sr = \frac{2 \cdot 4.2E+6N}{1.5E+8Pa}

Next Step Prepare to Evaluate

∴

A sr = \frac{2 \cdot 4.2E+6}{1.5E+8}

Next Step Evaluate

∴

A sr = 0.0561m²

LAST Step Convert to Output's Unit

∴

A sr = 56100mm²

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

Variables

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

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

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 in Shear on Connectors category

Go Total Horizontal Shear

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

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 Total Horizontal Shear to be Resisted by Shear Connectors

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

How to Evaluate 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 evaluator uses Area of Longitudinal Reinforcement = (2*Total Horizontal Shear)/Specified Minimum Yield Stress to evaluate 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 evaluate Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear?

The formula of Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear is expressed as Area of Longitudinal Reinforcement = (2*Total Horizontal Shear)/Specified Minimum Yield Stress. Here is an example- 5.6E+7 = (2*4207.5)/150000000.

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

With Total Horizontal Shear (V_h) & Specified Minimum Yield Stress (F_yr) we can find Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear using the formula - Area of Longitudinal Reinforcement = (2*Total Horizontal Shear)/Specified Minimum Yield Stress.

Can the Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear be negative?

No, the Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear, measured in Area cannot be negative.

Which unit is used to measure 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 is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear can be measured.

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