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

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

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

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

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

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

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

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

305.0045 = \frac{500}{285 \cdot 0.0058}

305.0045mm = \frac{500N}{285mm \cdot 0.0058MPa}

305.0045 = \frac{500}{285 \cdot 0.0058}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

b = \frac{500N}{0.285m \cdot 5752Pa}

Next Step Prepare to Evaluate

∴

b = \frac{500}{0.285 \cdot 5752}

Next Step Evaluate

∴

b = 0.305004514066808m

Next Step Convert to Output's Unit

∴

b = 305.004514066808mm

LAST Step Rounding Answer

∴

b = 305.0045mm

Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam Formula Elements

Variables

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

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

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

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 in Shear and Diagonal Tension in Beams category

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})

Go Effective Depth given Cross-Sectional Area of Web Reinforcement

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

How to Evaluate Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam?

Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam evaluator uses Width of Beam = Total Shear/(Effective Depth of Beam*Shearing Unit Stress) to evaluate the Width of Beam, The Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam formula is defined as the shortest/least measurement of the beam. Width of Beam is denoted by b symbol.

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

FAQs on Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam

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

The formula of Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam is expressed as Width of Beam = Total Shear/(Effective Depth of Beam*Shearing Unit Stress). Here is an example- 305004.5 = 500/(0.285*5752).

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

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

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

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

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

Width 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 Width of Beam given Shearing Unit Stress in Reinforced Concrete Beam can be measured.

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