Shear Friction Factor Calculator

✖Coefficient of friction between two surfaces generally varies from 0.65 to 0.75 range greater than-0.65 range less than-0.75.ⓘ Coefficient of Friction between Two Surfaces [μ]			+10% -10%
✖Total vertical force forces that act in the vertical plane, which is perpendicular to the ground.ⓘ Total Vertical Force [Σ_v]			+10% -10%
✖Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis.ⓘ Base Width [B]			+10% -10%
✖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.ⓘ Average Shear of Joint [q]			+10% -10%
✖Horizontal Forces are the forces applied in a direction parallel to the horizon is known as horizontal force.ⓘ Horizontal Forces [ΣH]			+10% -10%

✖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.ⓘ Shear Friction Factor [S.F.F]

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Formula

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Shear Friction Factor

Formula

`"S.F.F" = (("μ"*"Σ"_{"v"})+("B"*"q"))/"ΣH"`

Example

`"54.97143"=(("0.7"*"1400kN")+("25m"*"1500kN/m²"))/"700kN"`

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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*Σ_v)+(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 are the forces applied in a direction parallel to the horizon is known as horizontal force.

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*Σ_v)+(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

FINAL ANSWER

54.9714285714286 ≈ 54.97143 <-- Shear Friction

(Calculation completed in 00.004 seconds)

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< 7 Structural Stability of Gravity Dams Calculators

Shear Friction Factor

Go Shear Friction = ((Coefficient of Friction between Two Surfaces*Total Vertical Force)+(Base Width*Average Shear of Joint))/Horizontal Forces

Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam

Go Minimum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam+1))

Minimum Vertical Direct Stress Distribution at Base

Go Minimum Vertical Direct Stress = (Total Vertical Force/Base Width)*(1-(6*Eccentricity of Resultant Force/Base Width))

Width of Elementary Gravity Dam

Go Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam)

Max Vertical Direct Stress Distribution at Base

Go Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width))

Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam

Go Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1))

Sliding Factor

Go Sliding Factor = Coefficient of Friction between Two Surfaces*Total Vertical Force/Horizontal Forces

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*Σ_v)+(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, 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 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 (Σ_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?

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 and is represented as S.F.F = ((μ*Σ_v)+(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 are the forces applied in a direction parallel to the horizon is known as horizontal force.

How to calculate Shear Friction Factor?

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 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 (Σ_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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