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Shearing Unit Stress in Reinforced Concrete Beam Formula

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

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

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

Shearing Unit Stress in Reinforced Concrete Beam Example

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

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

Here is how the Shearing Unit Stress in Reinforced Concrete Beam equation looks like.

0.0058 = \frac{500}{305 \cdot 285}

0.0058MPa = \frac{500N}{305mm \cdot 285mm}

0.0058 = \frac{500}{305 \cdot 285}

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Shearing Unit Stress in Reinforced Concrete Beam Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v = \frac{500N}{305mm \cdot 285mm}

Next Step Convert Units

∴

v = \frac{500N}{0.305m \cdot 0.285m}

Next Step Prepare to Evaluate

∴

v = \frac{500}{0.305 \cdot 0.285}

Next Step Evaluate

∴

v = 5752.08513085994Pa

Next Step Convert to Output's Unit

∴

v = 0.00575208513085994MPa

LAST Step Rounding Answer

∴

v = 0.0058MPa

Shearing Unit Stress in Reinforced Concrete Beam Formula Elements

Variables

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

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

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 Shearing Unit Stress in Reinforced Concrete Beam?

Shearing Unit Stress in Reinforced Concrete Beam evaluator uses Shearing Unit Stress = Total Shear/(Width of Beam*Effective Depth of Beam) to evaluate the Shearing Unit Stress, The Shearing Unit Stress in Reinforced Concrete Beam formula is defined as the total shear force acting on a unit area of the body. Shearing Unit Stress is denoted by v symbol.

How to evaluate Shearing Unit Stress in Reinforced Concrete Beam using this online evaluator? To use this online evaluator for Shearing Unit Stress in Reinforced Concrete Beam, enter Total Shear (V), Width of Beam (b) & Effective Depth of Beam (d) and hit the calculate button.

FAQs on Shearing Unit Stress in Reinforced Concrete Beam

What is the formula to find Shearing Unit Stress in Reinforced Concrete Beam?

The formula of Shearing Unit Stress in Reinforced Concrete Beam is expressed as Shearing Unit Stress = Total Shear/(Width of Beam*Effective Depth of Beam). Here is an example- 5.8E-9 = 500/(0.305*0.285).

How to calculate Shearing Unit Stress in Reinforced Concrete Beam?

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

Can the Shearing Unit Stress in Reinforced Concrete Beam be negative?

Yes, the Shearing Unit Stress in Reinforced Concrete Beam, measured in Pressure can be negative.

Which unit is used to measure Shearing Unit Stress in Reinforced Concrete Beam?

Shearing Unit Stress in Reinforced Concrete Beam is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Shearing Unit Stress in Reinforced Concrete Beam can be measured.

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