Horizontal Distance of Slice from Centre of Rotation Calculator

✖Total Shear Force in Soil Mechanics acting on the slice under the consideration.ⓘ Total Shear Force in Soil Mechanics [ΣS]			+10% -10%
✖Radius of Soil Section is a radial line from the focus to any point of a curve in soil mechanics.ⓘ Radius of Soil Section [r]			+10% -10%
✖Total Weight of Slice in Soil Mechanics is Weight of the slice taken into the consideration.ⓘ Total Weight of Slice in Soil Mechanics [ΣW]			+10% -10%

✖Horizontal Distance of the slice from the centre of the roattion.ⓘ Horizontal Distance of Slice from Centre of Rotation [x]

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Formula

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Horizontal Distance of Slice from Centre of Rotation

Formula

`"x" = ("ΣS"*"r")/"ΣW"`

Example

`"1.059532m"=("32N"*"1.98m")/"59.8N"`

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Download Slope Stability Analysis using Bishops Method Formulas PDF

Horizontal Distance of Slice from Centre of Rotation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Distance = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Total Weight of Slice in Soil Mechanics
x = (ΣS*r)/ΣW
This formula uses 4 Variables

Variables Used

Horizontal Distance - (Measured in Meter) - Horizontal Distance of the slice from the centre of the roattion.
Total Shear Force in Soil Mechanics - (Measured in Newton) - Total Shear Force in Soil Mechanics acting on the slice under the consideration.
Radius of Soil Section - (Measured in Meter) - Radius of Soil Section is a radial line from the focus to any point of a curve in soil mechanics.
Total Weight of Slice in Soil Mechanics - (Measured in Newton) - Total Weight of Slice in Soil Mechanics is Weight of the slice taken into the consideration.

STEP 1: Convert Input(s) to Base Unit

Total Shear Force in Soil Mechanics: 32 Newton --> 32 Newton No Conversion Required
Radius of Soil Section: 1.98 Meter --> 1.98 Meter No Conversion Required
Total Weight of Slice in Soil Mechanics: 59.8 Newton --> 59.8 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = (ΣS*r)/ΣW --> (32*1.98)/59.8

Evaluating ... ...

x = 1.05953177257525

STEP 3: Convert Result to Output's Unit

1.05953177257525 Meter --> No Conversion Required

FINAL ANSWER

1.05953177257525 ≈ 1.059532 Meter <-- Horizontal Distance

(Calculation completed in 00.005 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 25 Slope Stability Analysis using Bishops Method Calculators

Weight of Slice given Total Normal Force Acting on Slice

Go Weight of Slice = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Vertical Shear Force+Vertical Shear Force at other Section

Resultant Vertical Shear Force on Section N+1

Go Vertical Shear Force at other Section = Weight of Slice+Vertical Shear Force-(Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))

Resultant Vertical Shear Force on Section N

Go Vertical Shear Force = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Weight of Slice+Vertical Shear Force at other Section

Effective Cohesion of Soil given Shear Force in Bishop's Analysis

Go Effective Cohesion = ((Shear Force on Slice in Soil Mechanics*Factor of Safety)-((Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Arc

Factor of Safety given Shear Force in Bishop's Analysis

Go Factor of Safety = ((Effective Cohesion*Length of Arc) +(Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180))/Shear Force on Slice in Soil Mechanics

Effective Angle of Internal Friction given Shear Force in Bishop's Analysis

Go Effective Angle of Internal Friction = atan(((Shear Force on Slice in Soil Mechanics*Factor of Safety)-(Effective Cohesion*Length of Arc))/(Total Normal Force-(Upward Force*Length of Arc)))

Effective Cohesion of Soil given Normal Stress on Slice

Go Effective Cohesion = Shear Strength of Soil in Pascal-((Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180))

Normal Stress on Slice given Shear Strength

Go Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force

Effective Angle of Internal Friction given Shear Strength

Go Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force))

Radius of Arc when Total Shear Force on Slice is Available

Go Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics

Total Weight of Slice given Total Shear Force on Slice

Go Total Weight of Slice in Soil Mechanics = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Horizontal Distance

Horizontal Distance of Slice from Centre of Rotation

Go Horizontal Distance = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Total Weight of Slice in Soil Mechanics

Factor of Safety given by Bishop

Go Factor of Safety = Stability Coefficient m in Soil Mechanics-(Stability Coefficient n*Pore Pressure Ratio)

Pore Pressure Ratio given Horizontal Width

Go Pore Pressure Ratio = (Upward Force*Width of Soil Section)/Total Weight of Slice in Soil Mechanics

Unit weight of Soil given Pore Pressure Ratio

Go Unit Weight of Soil = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Height of Slice))

Height of Slice given Pore Pressure Ratio

Go Height of Slice = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Unit Weight of Soil))

Pore Pressure Ratio given Unit Weight

Go Pore Pressure Ratio = (Upward Force in Seepage Analysis/(Unit Weight of Soil*Height of Slice))

Length of Arc of Slice given Effective Stress

Go Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)

Pore Pressure given Effective Stress on Slice

Go Total Pore Pressure = (Total Normal Force/Length of Arc)-Effective Normal Stress

Effective Stress on Slice

Go Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure

Length of Arc of Slice given Shear Force in Bishop's Analysis

Go Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal

Change in Pore Pressure given Overall Pore Pressure Coefficient

Go Change in Pore Pressure = Change in Normal Stress*Pore Pressure Coefficient Overall

Change in Normal Stress given Overall Pore Pressure Coefficient

Go Change in Normal Stress = Change in Pore Pressure/Pore Pressure Coefficient Overall

Normal Stress on Slice

Go Normal Stress in Pascal = Total Normal Force/Length of Arc

Length of Arc of Slice

Go Length of Arc = Total Normal Force/Normal Stress in Pascal

Horizontal Distance of Slice from Centre of Rotation Formula

Horizontal Distance = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Total Weight of Slice in Soil Mechanics
x = (ΣS*r)/ΣW

What is Centre of Rotation?

The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.

How to Calculate Horizontal Distance of Slice from Centre of Rotation?

Horizontal Distance of Slice from Centre of Rotation calculator uses Horizontal Distance = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Total Weight of Slice in Soil Mechanics to calculate the Horizontal Distance, The Horizontal Distance of Slice from Centre of Rotation is defined as the value of horizontal distance of slice from centre of rotation when we have prior information of other parameters used. Horizontal Distance is denoted by x symbol.

How to calculate Horizontal Distance of Slice from Centre of Rotation using this online calculator? To use this online calculator for Horizontal Distance of Slice from Centre of Rotation, enter Total Shear Force in Soil Mechanics (ΣS), Radius of Soil Section (r) & Total Weight of Slice in Soil Mechanics (ΣW) and hit the calculate button. Here is how the Horizontal Distance of Slice from Centre of Rotation calculation can be explained with given input values -> 2.890511 = (32*1.98)/59.8.

FAQ

What is Horizontal Distance of Slice from Centre of Rotation?

The Horizontal Distance of Slice from Centre of Rotation is defined as the value of horizontal distance of slice from centre of rotation when we have prior information of other parameters used and is represented as x = (ΣS*r)/ΣW or Horizontal Distance = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Total Weight of Slice in Soil Mechanics. Total Shear Force in Soil Mechanics acting on the slice under the consideration, Radius of Soil Section is a radial line from the focus to any point of a curve in soil mechanics & Total Weight of Slice in Soil Mechanics is Weight of the slice taken into the consideration.

How to calculate Horizontal Distance of Slice from Centre of Rotation?

The Horizontal Distance of Slice from Centre of Rotation is defined as the value of horizontal distance of slice from centre of rotation when we have prior information of other parameters used is calculated using Horizontal Distance = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Total Weight of Slice in Soil Mechanics. To calculate Horizontal Distance of Slice from Centre of Rotation, you need Total Shear Force in Soil Mechanics (ΣS), Radius of Soil Section (r) & Total Weight of Slice in Soil Mechanics (ΣW). With our tool, you need to enter the respective value for Total Shear Force in Soil Mechanics, Radius of Soil Section & Total Weight of Slice in Soil Mechanics 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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