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Shear Friction Factor Formula

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Shear friction is when the falling apart of the concrete pieces across a crack in a RC member is resisted by friction between the two pieces. Check FAQs

S.F.F = \frac{(μ \cdot Σ v) + (B \cdot q)}{ΣH}

S.F.F - Shear Friction?μ - Coefficient of Friction between Two Surfaces?Σ_v - Total Vertical Force?B - Base Width?q - Average Shear of Joint?ΣH - Horizontal Forces?

Shear Friction Factor Example

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Here is how the Shear Friction Factor equation looks like with Values.

Here is how the Shear Friction Factor equation looks like with Units.

Here is how the Shear Friction Factor equation looks like.

54.9714 = \frac{(0.7 \cdot 1400) + (25 \cdot 1500)}{700}

54.9714 = \frac{(0.7 \cdot 1400kN) + (25m \cdot 1500kN/m²)}{700kN}

54.9714 = \frac{(0.7 \cdot 1400) + (25 \cdot 1500)}{700}

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Shear Friction Factor Solution

Follow our step by step solution on how to calculate Shear Friction Factor?

FIRST Step Consider the formula

S.F.F = \frac{(μ \cdot Σ v) + (B \cdot q)}{ΣH}

Next Step Substitute values of Variables

∴

S.F.F = \frac{(0.7 \cdot 1400kN) + (25m \cdot 1500kN/m²)}{700kN}

Next Step Prepare to Evaluate

∴

S.F.F = \frac{(0.7 \cdot 1400) + (25 \cdot 1500)}{700}

Next Step Evaluate

∴

S.F.F = 54.9714285714286

LAST Step Rounding Answer

∴

S.F.F = 54.9714

Shear Friction Factor Formula Elements

Variables

Shear Friction

Shear friction is when the falling apart of the concrete pieces across a crack in a RC member is resisted by friction between the two pieces.

Symbol: S.F.F

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shear Friction

Coefficient of Friction between Two Surfaces

Coefficient of friction between two surfaces generally varies from 0.65 to 0.75 range greater than-0.65 range less than-0.75.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Friction between Two Surfaces

Total Vertical Force

Total vertical force forces that act in the vertical plane, which is perpendicular to the ground.

Symbol: Σ_v

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Total Vertical Force

Base Width

Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Width

Average Shear of Joint

Average shear of joint which varies from about 1400kN/m^2 for poor rocks to about 4000kN/m^2 for good rocks. The value of μ generally varies from 0.65 to 0.75.

Symbol: q

Measurement: StressUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Average Shear of Joint

Horizontal Forces

Horizontal Forces are the forces applied in a direction parallel to the horizon is known as horizontal force.

Symbol: ΣH

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Horizontal Forces

Other formulas in Structural Stability of Gravity Dams category

Go Max Vertical Direct Stress Distribution at Base

ρ max = (\frac{Σ v}{B}) \cdot (1 + (6 \cdot \frac{e}{B}))

Go Minimum Vertical Direct Stress Distribution at Base

ρ min = (\frac{Σ v}{B}) \cdot (1 - (6 \cdot \frac{e}{B}))

Go Sliding Factor

S.F = μ \cdot \frac{Σ v}{ΣH}

Go Width of Elementary Gravity Dam

B = \frac{H d}{\sqrt{S c - C}}

How to Evaluate Shear Friction Factor?

Shear Friction Factor evaluator uses Shear Friction = ((Coefficient of Friction between Two Surfaces*Total Vertical Force)+(Base Width*Average Shear of Joint))/Horizontal Forces to evaluate the Shear Friction, The Shear Friction Factor formula is defined as the ratio of the shear stress τ on the bounding walls of the channel to the dynamic pressure of the coolant. Shear Friction is denoted by S.F.F symbol.

How to evaluate Shear Friction Factor using this online evaluator? To use this online evaluator for Shear Friction Factor, enter Coefficient of Friction between Two Surfaces (μ), Total Vertical Force (Σ_v), Base Width (B), Average Shear of Joint (q) & Horizontal Forces (ΣH) and hit the calculate button.

FAQs on Shear Friction Factor

What is the formula to find Shear Friction Factor?

The formula of Shear Friction Factor is expressed as Shear Friction = ((Coefficient of Friction between Two Surfaces*Total Vertical Force)+(Base Width*Average Shear of Joint))/Horizontal Forces. Here is an example- 54.97143 = ((0.7*1400000)+(25*1500000))/700000.

How to calculate Shear Friction Factor?

With Coefficient of Friction between Two Surfaces (μ), Total Vertical Force (Σ_v), Base Width (B), Average Shear of Joint (q) & Horizontal Forces (ΣH) we can find Shear Friction Factor using the formula - Shear Friction = ((Coefficient of Friction between Two Surfaces*Total Vertical Force)+(Base Width*Average Shear of Joint))/Horizontal Forces.

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Shear Friction Factor Formula

Shear Friction Factor Example

Shear Friction Factor Solution

Shear Friction Factor Formula Elements

Other formulas in Structural Stability of Gravity Dams category

How to Evaluate Shear Friction Factor?

FAQs on Shear Friction Factor

Variable Name