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Cross-Sectional Area of Web Reinforcement Formula

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The cross-sectional area of web reinforcement in distance s measured parallel to longitudinal reinforcement. Check FAQs

A v = (V - V') \cdot \frac{s}{f v \cdot d}

A_v - Cross-Sectional Area of Web Reinforcement?V - Total Shear?V' - Shear that Concrete should carry?s - Stirrup Spacing?f_v - Allowable Unit Stress in Web Reinforcement?d - Effective Depth of Beam?

Cross-Sectional Area of Web Reinforcement Example

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Here is how the Cross-Sectional Area of Web Reinforcement equation looks like with Values.

Here is how the Cross-Sectional Area of Web Reinforcement equation looks like with Units.

Here is how the Cross-Sectional Area of Web Reinforcement equation looks like.

8789.4737 = (500 - 495) \cdot \frac{50.1}{100 \cdot 285}

8789.4737mm² = (500N - 495N) \cdot \frac{50.1mm}{100MPa \cdot 285mm}

8789.4737 = (500 - 495) \cdot \frac{50.1}{100 \cdot 285}

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Cross-Sectional Area of Web Reinforcement Solution

Follow our step by step solution on how to calculate Cross-Sectional Area of Web Reinforcement?

FIRST Step Consider the formula

A v = (V - V') \cdot \frac{s}{f v \cdot d}

Next Step Substitute values of Variables

∴

A v = (500N - 495N) \cdot \frac{50.1mm}{100MPa \cdot 285mm}

Next Step Convert Units

∴

A v = (500N - 495N) \cdot \frac{0.0501m}{100MPa \cdot 0.285m}

Next Step Prepare to Evaluate

∴

A v = (500 - 495) \cdot \frac{0.0501}{100 \cdot 0.285}

Next Step Evaluate

∴

A v = 0.00878947368421053m²

Next Step Convert to Output's Unit

∴

A v = 8789.47368421053mm²

LAST Step Rounding Answer

∴

A v = 8789.4737mm²

Cross-Sectional Area of Web Reinforcement Formula Elements

Variables

Cross-Sectional Area of Web Reinforcement

The cross-sectional area of web reinforcement in distance s measured parallel to longitudinal reinforcement.

Symbol: A_v

Measurement: AreaUnit: mm²

Note: Value can be positive or negative.

Formulas to find Cross-Sectional Area of Web Reinforcement

Total Shear

Total Shear is the total shear force acting on a beam.

Symbol: V

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Total Shear

Shear that Concrete should carry

The shear that concrete should carry alone.

Symbol: V'

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear that Concrete should carry

Stirrup Spacing

Stirrup Spacing is the approximate minimum spacing between two bars in a section.

Symbol: s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Stirrup Spacing

Allowable Unit Stress in Web Reinforcement

Allowable Unit Stress in Web Reinforcement is defined as total force acting to the unit area of the reinforcement.

Symbol: f_v

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Allowable Unit Stress in Web Reinforcement

Effective Depth of Beam

The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Other formulas in Shear and Diagonal Tension in Beams category

Go Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam

b = \frac{V}{d \cdot v}

Go Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam

d = \frac{V}{b \cdot v}

Go Total Shear given Cross-Sectional Area of Web Reinforcement

V = (\frac{A v \cdot f v \cdot d}{s}) + V'

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

V' = V - (\frac{A v \cdot f v \cdot d}{s})

How to Evaluate Cross-Sectional Area of Web Reinforcement?

Cross-Sectional Area of Web Reinforcement evaluator uses 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) to evaluate the Cross-Sectional Area of Web Reinforcement, The Cross-Sectional Area of Web Reinforcement formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point. Cross-Sectional Area of Web Reinforcement is denoted by A_v symbol.

How to evaluate Cross-Sectional Area of Web Reinforcement using this online evaluator? To use this online evaluator for Cross-Sectional Area of Web Reinforcement, enter Total Shear (V), Shear that Concrete should carry (V'), Stirrup Spacing (s), Allowable Unit Stress in Web Reinforcement (f_v) & Effective Depth of Beam (d) and hit the calculate button.

FAQs on Cross-Sectional Area of Web Reinforcement

What is the formula to find Cross-Sectional Area of Web Reinforcement?

The formula of Cross-Sectional Area of Web Reinforcement is expressed as 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). Here is an example- 8.8E+9 = (500-495)*0.0501/(100000000*0.285).

How to calculate Cross-Sectional Area of Web Reinforcement?

With Total Shear (V), Shear that Concrete should carry (V'), Stirrup Spacing (s), Allowable Unit Stress in Web Reinforcement (f_v) & Effective Depth of Beam (d) we can find Cross-Sectional Area of Web Reinforcement using the formula - 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).

Can the Cross-Sectional Area of Web Reinforcement be negative?

Yes, the Cross-Sectional Area of Web Reinforcement, measured in Area can be negative.

Which unit is used to measure Cross-Sectional Area of Web Reinforcement?

Cross-Sectional Area of Web Reinforcement 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 Cross-Sectional Area of Web Reinforcement can be measured.

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Cross-Sectional Area of Web Reinforcement Formula

Cross-Sectional Area of Web Reinforcement Example

Cross-Sectional Area of Web Reinforcement Solution

Cross-Sectional Area of Web Reinforcement Formula Elements

Other formulas in Shear and Diagonal Tension in Beams category

How to Evaluate Cross-Sectional Area of Web Reinforcement?

FAQs on Cross-Sectional Area of Web Reinforcement

Variable Name