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Nominal Shear Stress Formula

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Nominal Shear Stress is calculated using the basic principles of mechanics and material properties of the concrete. It does not take into account any additional reinforcing forces. Check FAQs

v u = (\frac{V}{φ \cdot h \cdot d})

v_u - Nominal Shear Stress?V - Total Shear?φ - Capacity Reduction Factor?h - Overall Thickness of Wall?d - Design Horizontal Length?

Nominal Shear Stress Example

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

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

Here is how the Nominal Shear Stress equation looks like.

1176.4706 = (\frac{500}{0.85 \cdot 200 \cdot 2500})

1176.4706N/m² = (\frac{500N}{0.85 \cdot 200mm \cdot 2500mm})

1176.4706 = (\frac{500}{0.85 \cdot 200 \cdot 2500})

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Nominal Shear Stress Solution

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

FIRST Step Consider the formula

v u = (\frac{V}{φ \cdot h \cdot d})

Next Step Substitute values of Variables

∴

v u = (\frac{500N}{0.85 \cdot 200mm \cdot 2500mm})

Next Step Convert Units

∴

v u = (\frac{500N}{0.85 \cdot 0.2m \cdot 2.5m})

Next Step Prepare to Evaluate

∴

v u = (\frac{500}{0.85 \cdot 0.2 \cdot 2.5})

Next Step Evaluate

∴

v u = 1176.47058823529Pa

Next Step Convert to Output's Unit

∴

v u = 1176.47058823529N/m²

LAST Step Rounding Answer

∴

v u = 1176.4706N/m²

Nominal Shear Stress Formula Elements

Variables

Nominal Shear Stress

Nominal Shear Stress is calculated using the basic principles of mechanics and material properties of the concrete. It does not take into account any additional reinforcing forces.

Symbol: v_u

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Nominal Shear 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

Capacity Reduction Factor

The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.

Symbol: φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Capacity Reduction Factor

Overall Thickness of Wall

Overall Thickness of Wall is the wall thickness in millimeters.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Overall Thickness of Wall

Design Horizontal Length

Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.

Symbol: d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Design Horizontal Length

Other formulas in Shear Walls category

Go Total Design Shear Force given Nominal Shear Stress

V = v u \cdot φ \cdot h \cdot d

Go Wall Overall Thickness given Nominal Shear Stress

h = \frac{V}{φ \cdot v u \cdot d}

Go Wall Horizontal Length given Nominal Shear Stress

d = \frac{V}{h \cdot φ \cdot v u}

Go Concrete Strength given Shear Force

f' c = {((\frac{1}{3.3 \cdot d \cdot h}) \cdot (V c + (\frac{N u \cdot d}{4 \cdot l w})))}^{2}

How to Evaluate Nominal Shear Stress?

Nominal Shear Stress evaluator uses Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length)) to evaluate the Nominal Shear Stress, The Nominal Shear Stress formula is defined as the shear stress concrete can resist by the help of total design force, capacity reduction factor, overall thickness of wall and horizontal length of wall. Nominal Shear Stress is denoted by v_u symbol.

How to evaluate Nominal Shear Stress using this online evaluator? To use this online evaluator for Nominal Shear Stress, enter Total Shear (V), Capacity Reduction Factor (φ), Overall Thickness of Wall (h) & Design Horizontal Length (d) and hit the calculate button.

FAQs on Nominal Shear Stress

What is the formula to find Nominal Shear Stress?

The formula of Nominal Shear Stress is expressed as Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length)). Here is an example- 1176.471 = (500/(0.85*0.2*2.5)).

How to calculate Nominal Shear Stress?

With Total Shear (V), Capacity Reduction Factor (φ), Overall Thickness of Wall (h) & Design Horizontal Length (d) we can find Nominal Shear Stress using the formula - Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length)).

Can the Nominal Shear Stress be negative?

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

Which unit is used to measure Nominal Shear Stress?

Nominal Shear Stress is usually measured using the Newton per Square Meter[N/m²] for Stress. Pascal[N/m²], Newton per Square Millimeter[N/m²], Kilonewton per Square Meter[N/m²] are the few other units in which Nominal Shear Stress can be measured.

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Nominal Shear Stress Formula

Nominal Shear Stress Example

Nominal Shear Stress Solution

Nominal Shear Stress Formula Elements

Other formulas in Shear Walls category

How to Evaluate Nominal Shear Stress?

FAQs on Nominal Shear Stress

Variable Name