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Wall Horizontal Length given Nominal Shear Stress Formula

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

d = \frac{V}{h \cdot φ \cdot v u}

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

Wall Horizontal Length given Nominal Shear Stress Example

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Here is how the Wall Horizontal Length given Nominal Shear Stress equation looks like with Values.

Here is how the Wall Horizontal Length given Nominal Shear Stress equation looks like with Units.

Here is how the Wall Horizontal Length given Nominal Shear Stress equation looks like.

2501.0004 = \frac{500}{200 \cdot 0.85 \cdot 1176}

2501.0004mm = \frac{500N}{200mm \cdot 0.85 \cdot 1176N/m²}

2501.0004 = \frac{500}{200 \cdot 0.85 \cdot 1176}

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Wall Horizontal Length given Nominal Shear Stress Solution

Follow our step by step solution on how to calculate Wall Horizontal Length given Nominal Shear Stress?

FIRST Step Consider the formula

d = \frac{V}{h \cdot φ \cdot v u}

Next Step Substitute values of Variables

∴

d = \frac{500N}{200mm \cdot 0.85 \cdot 1176N/m²}

Next Step Convert Units

∴

d = \frac{500N}{0.2m \cdot 0.85 \cdot 1176Pa}

Next Step Prepare to Evaluate

∴

d = \frac{500}{0.2 \cdot 0.85 \cdot 1176}

Next Step Evaluate

∴

d = 2.50100040016006m

Next Step Convert to Output's Unit

∴

d = 2501.00040016006mm

LAST Step Rounding Answer

∴

d = 2501.0004mm

Wall Horizontal Length given Nominal Shear Stress Formula Elements

Variables

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

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

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

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

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

Other formulas in Shear Walls category

Go Nominal Shear Stress

v u = (\frac{V}{φ \cdot h \cdot d})

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 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 Wall Horizontal Length given Nominal Shear Stress?

Wall Horizontal Length given Nominal Shear Stress evaluator uses Design Horizontal Length = Total Shear/(Overall Thickness of Wall*Capacity Reduction Factor*Nominal Shear Stress) to evaluate the Design Horizontal Length, The Wall Horizontal Length given Nominal Shear Stress formula is defined as the total length of the wall in a horizontal direction considering the factors such as total design shear, capacity reduction factor and nominal shear stress. Design Horizontal Length is denoted by d symbol.

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

FAQs on Wall Horizontal Length given Nominal Shear Stress

What is the formula to find Wall Horizontal Length given Nominal Shear Stress?

The formula of Wall Horizontal Length given Nominal Shear Stress is expressed as Design Horizontal Length = Total Shear/(Overall Thickness of Wall*Capacity Reduction Factor*Nominal Shear Stress). Here is an example- 2.5E+6 = 500/(0.2*0.85*1176).

How to calculate Wall Horizontal Length given Nominal Shear Stress?

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

Can the Wall Horizontal Length given Nominal Shear Stress be negative?

Yes, the Wall Horizontal Length given Nominal Shear Stress, measured in Length can be negative.

Which unit is used to measure Wall Horizontal Length given Nominal Shear Stress?

Wall Horizontal Length given Nominal Shear Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Wall Horizontal Length given Nominal Shear Stress can be measured.

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Wall Horizontal Length given Nominal Shear Stress Formula

Wall Horizontal Length given Nominal Shear Stress Example

Wall Horizontal Length given Nominal Shear Stress Solution

Wall Horizontal Length given Nominal Shear Stress Formula Elements

Other formulas in Shear Walls category

How to Evaluate Wall Horizontal Length given Nominal Shear Stress?

FAQs on Wall Horizontal Length given Nominal Shear Stress

Variable Name