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Nominal Unit Shear Stress Formula

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Nominal Shear Stress is the shear force generated on the structure due to the force imposed on a given cross-sectional area. Check FAQs

V n = \frac{V}{b ns \cdot d'}

V_n - Nominal Shear Stress?V - Total Shear?b_ns - Beam Width for Nominal Shear?d' - Compression to Centroid Reinforcement Distance?

Nominal Unit Shear Stress Example

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With units

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Here is how the Nominal Unit Shear Stress equation looks like with Values.

Here is how the Nominal Unit Shear Stress equation looks like with Units.

Here is how the Nominal Unit Shear Stress equation looks like.

19.802 = \frac{3000}{15 \cdot 10.1}

19.802N/mm² = \frac{3000N}{15mm \cdot 10.1mm}

19.802 = \frac{3000}{15 \cdot 10.1}

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Nominal Unit Shear Stress Solution

Follow our step by step solution on how to calculate Nominal Unit Shear Stress?

FIRST Step Consider the formula

V n = \frac{V}{b ns \cdot d'}

Next Step Substitute values of Variables

∴

V n = \frac{3000N}{15mm \cdot 10.1mm}

Next Step Convert Units

∴

V n = \frac{3000N}{0.015m \cdot 0.0101m}

Next Step Prepare to Evaluate

∴

V n = \frac{3000}{0.015 \cdot 0.0101}

Next Step Evaluate

∴

V n = 19801980.1980198Pa

Next Step Convert to Output's Unit

∴

V n = 19.8019801980198N/mm²

LAST Step Rounding Answer

∴

V n = 19.802N/mm²

Nominal Unit Shear Stress Formula Elements

Variables

Nominal Shear Stress

Nominal Shear Stress is the shear force generated on the structure due to the force imposed on a given cross-sectional area.

Symbol: V_n

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Nominal Shear Stress

Total Shear

Total Shear is defined as the total shear force acting on the body.

Symbol: V

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Total Shear

Beam Width for Nominal Shear

Beam Width for Nominal Shear is the shortest/least measurement of the beam.

Symbol: b_ns

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Beam Width for Nominal Shear

Compression to Centroid Reinforcement Distance

Compression to Centroid Reinforcement Distance is the distance from extreme compression surface to the centroid of compression reinforcement.

Symbol: d'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Compression to Centroid Reinforcement Distance

Other formulas in Allowable Shear category

Go Shear given Nominal Unit Shear Stress

V = b ns \cdot d' \cdot V n

Go Distance from Extreme Compression to Centroid given Nominal Unit Shear Stress

d' = \frac{V}{b ns \cdot V n}

Go Area Required in Legs of Vertical Stirrup

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

Go Excess Shear given Area in Legs of Vertical Stirrup

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

How to Evaluate Nominal Unit Shear Stress?

Nominal Unit Shear Stress evaluator uses Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance) to evaluate the Nominal Shear Stress, The Nominal Unit Shear Stress formula is defined as the stress which is provided by concrete where diagonal cracking results from high principal tensile stress in the web. Nominal Shear Stress is denoted by V_n symbol.

How to evaluate Nominal Unit Shear Stress using this online evaluator? To use this online evaluator for Nominal Unit Shear Stress, enter Total Shear (V), Beam Width for Nominal Shear (b_ns) & Compression to Centroid Reinforcement Distance (d') and hit the calculate button.

FAQs on Nominal Unit Shear Stress

What is the formula to find Nominal Unit Shear Stress?

The formula of Nominal Unit Shear Stress is expressed as Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance). Here is an example- 2E-5 = 3000/(0.015*0.0101).

How to calculate Nominal Unit Shear Stress?

With Total Shear (V), Beam Width for Nominal Shear (b_ns) & Compression to Centroid Reinforcement Distance (d') we can find Nominal Unit Shear Stress using the formula - Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance).

Can the Nominal Unit Shear Stress be negative?

No, the Nominal Unit Shear Stress, measured in Pressure cannot be negative.

Which unit is used to measure Nominal Unit Shear Stress?

Nominal Unit Shear Stress is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Nominal Unit Shear Stress can be measured.

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Nominal Unit Shear Stress Formula

Nominal Unit Shear Stress Example

Nominal Unit Shear Stress Solution

Nominal Unit Shear Stress Formula Elements

Other formulas in Allowable Shear category

How to Evaluate Nominal Unit Shear Stress?

FAQs on Nominal Unit Shear Stress

Variable Name