## Shear Friction Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear friction = ((Coefficient of friction between two surfaces*Total vertical force)+(Base width*Average shear of joint))/Horizontal forces
S.F.F = ((μ*Σv)+(B*q))/ΣH
This formula uses 6 Variables
Variables Used
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.
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.
Total vertical force - (Measured in Kilonewton) - Total vertical force forces that act in the vertical plane, which is perpendicular to the ground.
Base width - (Measured in Meter) - Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis.
Average shear of joint - (Measured in Kilonewton per Square Meter) - 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.
Horizontal forces - (Measured in Kilonewton) - horizontal forces applied in a direction parallel to the horizon.
STEP 1: Convert Input(s) to Base Unit
Coefficient of friction between two surfaces: 0.7 --> No Conversion Required
Total vertical force: 1400 Kilonewton --> 1400 Kilonewton No Conversion Required
Base width: 25 Meter --> 25 Meter No Conversion Required
Average shear of joint: 1500 Kilonewton per Square Meter --> 1500 Kilonewton per Square Meter No Conversion Required
Horizontal forces: 700 Kilonewton --> 700 Kilonewton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S.F.F = ((μ*Σv)+(B*q))/ΣH --> ((0.7*1400)+(25*1500))/700
Evaluating ... ...
S.F.F = 54.9714285714286
STEP 3: Convert Result to Output's Unit
54.9714285714286 --> No Conversion Required
54.9714285714286 <-- Shear friction
(Calculation completed in 00.016 seconds)
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Created by bhuvaneshwari
Coorg institute of technology (CIT), Kodagu
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## < 6 Structural stability of Gravity Dams Calculators

Minimum height which can be obtained in elementary profile of gravity dam
Minimum possible height = Allowable compressive stress of dam material/(The unit weight of water*(Specific gravity of dam material-Seepage coefficient at the base of dam+1)) Go
Shear Friction Factor
Shear friction = ((Coefficient of friction between two surfaces*Total vertical force)+(Base width*Average shear of joint))/Horizontal forces Go
Minimum vertical direct stress distribution at base
Minimum vertical direct stress = (Total vertical force/Base width)*(1-(6*Eccentricity of the resultant force/Base width)) Go
Width of elementary gravity dam
Base width = Height of elementary dam/sqrt(Specific gravity of dam material-Seepage coefficient at the base of dam) Go
Max vertical direct stress distribution at base
Vertical direct stress = (Total vertical force/Base width)*(1+(6*Eccentricity of the resultant force/Base width)) Go
Sliding Factor
Sliding factor = Coefficient of friction between two surfaces*Total vertical force/Horizontal forces Go

## Shear Friction Factor Formula

Shear friction = ((Coefficient of friction between two surfaces*Total vertical force)+(Base width*Average shear of joint))/Horizontal forces
S.F.F = ((μ*Σv)+(B*q))/ΣH

## What affects friction factor?

Frictional force depends on the nature of the surface in contact. The rougher the surface, the greater the friction involved. Frictional force is proportional to the pressing force, which is the weight of the body. It is independent of the area of contact.

## What is friction factor used for?

It is used almost exclusively to calculate head loss due to friction in turbulent flow. The Darcy friction factor, f, is usually selected from a chart known as the Moody diagram.

## How to Calculate Shear Friction Factor?

Shear Friction Factor calculator uses Shear friction = ((Coefficient of friction between two surfaces*Total vertical force)+(Base width*Average shear of joint))/Horizontal forces to calculate the Shear friction, Shear Friction Factor 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 calculate Shear Friction Factor using this online calculator? To use this online calculator for Shear Friction Factor, enter Coefficient of friction between two surfaces (μ), Total vertical force v), Base width (B), Average shear of joint (q) & Horizontal forces (ΣH) and hit the calculate button. Here is how the Shear Friction Factor calculation can be explained with given input values -> 54.97143 = ((0.7*1400000)+(25*1500000))/700000.

### FAQ

What is Shear Friction Factor?
Shear Friction Factor the ratio of the shear stress τ on the bounding walls of the channel to the dynamic pressure of the coolant and is represented as S.F.F = ((μ*Σv)+(B*q))/ΣH or Shear friction = ((Coefficient of friction between two surfaces*Total vertical force)+(Base width*Average shear of joint))/Horizontal forces. Coefficient of friction between two surfaces generally varies from 0.65 to 0.75 range greater than-0.65 range less than-0.75, Total vertical force forces that act in the vertical plane, which is perpendicular to the ground, Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis, 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 & horizontal forces applied in a direction parallel to the horizon.
How to calculate Shear Friction Factor?
Shear Friction Factor the ratio of the shear stress τ on the bounding walls of the channel to the dynamic pressure of the coolant is calculated using Shear friction = ((Coefficient of friction between two surfaces*Total vertical force)+(Base width*Average shear of joint))/Horizontal forces. To calculate Shear Friction Factor, you need Coefficient of friction between two surfaces (μ), Total vertical force v), Base width (B), Average shear of joint (q) & Horizontal forces (ΣH). With our tool, you need to enter the respective value for Coefficient of friction between two surfaces, Total vertical force, Base width, Average shear of joint & Horizontal forces and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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