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

GoEffective Depth given Cross-Sectional Area of Web Reinforcement 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}{b \cdot v}

d - Effective Depth of Beam?V - Total Shear?b - Width of Beam?v - Shearing Unit Stress?

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

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Here is how the Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam equation looks like with Values.

Here is how the Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam equation looks like with Units.

Here is how the Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam equation looks like.

285.0042 = \frac{500}{305 \cdot 0.0058}

285.0042mm = \frac{500N}{305mm \cdot 0.0058MPa}

285.0042 = \frac{500}{305 \cdot 0.0058}

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

Follow our step by step solution on how to calculate Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \frac{500N}{305mm \cdot 0.0058MPa}

Next Step Convert Units

∴

d = \frac{500N}{0.305m \cdot 5752Pa}

Next Step Prepare to Evaluate

∴

d = \frac{500}{0.305 \cdot 5752}

Next Step Evaluate

∴

d = 0.285004218062427m

Next Step Convert to Output's Unit

∴

d = 285.004218062427mm

LAST Step Rounding Answer

∴

d = 285.0042mm

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

Width of Beam

The width of beam is the beam width measured from end to end.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam

Shearing Unit Stress

The shearing unit stress is defined as the total force acting on a unit area of the body.

Symbol: v

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Shearing Unit Stress

Other Formulas to find Effective Depth of Beam

Go Effective Depth given Cross-Sectional Area of Web Reinforcement

d = \frac{(V - V') \cdot s}{f v \cdot A 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 of Beam given Shearing Unit Stress in Reinforced Concrete Beam?

Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam evaluator uses Effective Depth of Beam = Total Shear/(Width of Beam*Shearing Unit Stress) to evaluate the Effective Depth of Beam, The Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam formula is defined as the distance between extreme compressive concrete fibre 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 of Beam given Shearing Unit Stress in Reinforced Concrete Beam using this online evaluator? To use this online evaluator for Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam, enter Total Shear (V), Width of Beam (b) & Shearing Unit Stress (v) and hit the calculate button.

FAQs on Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam

What is the formula to find Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam?

The formula of Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam is expressed as Effective Depth of Beam = Total Shear/(Width of Beam*Shearing Unit Stress). Here is an example- 285004.2 = 500/(0.305*5752).

How to calculate Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam?

With Total Shear (V), Width of Beam (b) & Shearing Unit Stress (v) we can find Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam using the formula - Effective Depth of Beam = Total Shear/(Width of Beam*Shearing Unit Stress).

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-Shear that Concrete should carry)*Stirrup Spacing)/(Allowable Unit Stress in Web Reinforcement*Cross-Sectional Area of Web Reinforcement)

Can the Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam be negative?

No, the Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam, measured in Length cannot be negative.

Which unit is used to measure Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam?

Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Effective Depth of Beam given Shearing Unit Stress in Reinforced Concrete Beam can be measured.

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