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Effective Depth given Cross-Sectional Area of Web Reinforcement Formula

GoEffective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam Formula

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

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

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

Effective Depth given Cross-Sectional Area of Web Reinforcement Example

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

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

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

285.5677 = \frac{(500 - 495) \cdot 50.1}{100 \cdot 8772}

285.5677mm = \frac{(500N - 495N) \cdot 50.1mm}{100MPa \cdot 8772mm²}

285.5677 = \frac{(500 - 495) \cdot 50.1}{100 \cdot 8772}

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Effective Depth given Cross-Sectional Area of Web Reinforcement Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \frac{(500N - 495N) \cdot 50.1mm}{100MPa \cdot 8772mm²}

Next Step Convert Units

∴

d = \frac{(500N - 495N) \cdot 0.0501m}{100MPa \cdot 0.0088m²}

Next Step Prepare to Evaluate

∴

d = \frac{(500 - 495) \cdot 0.0501}{100 \cdot 0.0088}

Next Step Evaluate

∴

d = 0.285567715458276m

Next Step Convert to Output's Unit

∴

d = 285.567715458276mm

LAST Step Rounding Answer

∴

d = 285.5677mm

Effective Depth given Cross-Sectional Area of Web Reinforcement Formula Elements

Variables

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

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

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

Other Formulas to find Effective Depth of Beam

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

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

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 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})

Go Stirrups Spacing given Cross-Sectional Area of Web Reinforcement

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

How to Evaluate Effective Depth given Cross-Sectional Area of Web Reinforcement?

Effective Depth given Cross-Sectional Area of Web Reinforcement evaluator uses 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) to evaluate the Effective Depth of Beam, The Effective Depth given Cross-Sectional Area of Web Reinforcement formula is defined as the distance between extreme compressive concrete fiber to the centroid of tension reinforcement in the section under flexural condition. Effective Depth of Beam is denoted by d symbol.

How to evaluate Effective Depth given Cross-Sectional Area of Web Reinforcement using this online evaluator? To use this online evaluator for Effective Depth given 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) & Cross-Sectional Area of Web Reinforcement (A_v) and hit the calculate button.

FAQs on Effective Depth given Cross-Sectional Area of Web Reinforcement

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

The formula of Effective Depth given Cross-Sectional Area of Web Reinforcement is expressed as 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). Here is an example- 285567.7 = ((500-495)*0.0501)/(100000000*0.008772).

How to calculate Effective Depth given 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) & Cross-Sectional Area of Web Reinforcement (A_v) we can find Effective Depth given Cross-Sectional Area of Web Reinforcement using the formula - 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).

What are the other ways to Calculate Effective Depth of Beam?

Here are the different ways to Calculate Effective Depth of Beam-

Effective Depth of Beam=Total Shear/(Width of Beam*Shearing Unit Stress)

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

No, the Effective Depth given Cross-Sectional Area of Web Reinforcement, measured in Length cannot be negative.

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

Effective Depth given Cross-Sectional Area of Web Reinforcement is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Effective Depth given Cross-Sectional Area of Web Reinforcement can be measured.

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Effective Depth given Cross-Sectional Area of Web Reinforcement Formula

​GoEffective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam Formula

Effective Depth given Cross-Sectional Area of Web Reinforcement Example

Effective Depth given Cross-Sectional Area of Web Reinforcement Solution

Effective Depth given Cross-Sectional Area of Web Reinforcement Formula Elements

Other Formulas to find Effective Depth of Beam

Other formulas in Shear and Diagonal Tension in Beams category

How to Evaluate Effective Depth given Cross-Sectional Area of Web Reinforcement?

FAQs on Effective Depth given Cross-Sectional Area of Web Reinforcement

Variable Name

GoEffective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam Formula