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Wall Overall Thickness given Nominal Shear Stress Formula

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Overall Thickness of Wall is the wall thickness in millimeters. Check FAQs

h = \frac{V}{φ \cdot v u \cdot d}

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

Wall Overall Thickness given Nominal Shear Stress Example

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With units

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Here is how the Wall Overall Thickness given Nominal Shear Stress equation looks like with Values.

Here is how the Wall Overall Thickness given Nominal Shear Stress equation looks like with Units.

Here is how the Wall Overall Thickness given Nominal Shear Stress equation looks like.

200.08 = \frac{500}{0.85 \cdot 1176 \cdot 2500}

200.08mm = \frac{500N}{0.85 \cdot 1176N/m² \cdot 2500mm}

200.08 = \frac{500}{0.85 \cdot 1176 \cdot 2500}

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Wall Overall Thickness given Nominal Shear Stress Solution

Follow our step by step solution on how to calculate Wall Overall Thickness given Nominal Shear Stress?

FIRST Step Consider the formula

h = \frac{V}{φ \cdot v u \cdot d}

Next Step Substitute values of Variables

∴

h = \frac{500N}{0.85 \cdot 1176N/m² \cdot 2500mm}

Next Step Convert Units

∴

h = \frac{500N}{0.85 \cdot 1176Pa \cdot 2.5m}

Next Step Prepare to Evaluate

∴

h = \frac{500}{0.85 \cdot 1176 \cdot 2.5}

Next Step Evaluate

∴

h = 0.200080032012805m

Next Step Convert to Output's Unit

∴

h = 200.080032012805mm

LAST Step Rounding Answer

∴

h = 200.08mm

Wall Overall Thickness given Nominal Shear Stress Formula Elements

Variables

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

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

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

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 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 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 Wall Overall Thickness given Nominal Shear Stress?

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

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

FAQs on Wall Overall Thickness given Nominal Shear Stress

What is the formula to find Wall Overall Thickness given Nominal Shear Stress?

The formula of Wall Overall Thickness given Nominal Shear Stress is expressed as Overall Thickness of Wall = Total Shear/(Capacity Reduction Factor*Nominal Shear Stress*Design Horizontal Length). Here is an example- 200080 = 500/(0.85*1176*2.5).

How to calculate Wall Overall Thickness given Nominal Shear Stress?

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

Can the Wall Overall Thickness given Nominal Shear Stress be negative?

No, the Wall Overall Thickness given Nominal Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Wall Overall Thickness given Nominal Shear Stress?

Wall Overall Thickness 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 Overall Thickness given Nominal Shear Stress can be measured.

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Wall Overall Thickness given Nominal Shear Stress Formula

Wall Overall Thickness given Nominal Shear Stress Example

Wall Overall Thickness given Nominal Shear Stress Solution

Wall Overall Thickness given Nominal Shear Stress Formula Elements

Other formulas in Shear Walls category

How to Evaluate Wall Overall Thickness given Nominal Shear Stress?

FAQs on Wall Overall Thickness given Nominal Shear Stress

Variable Name