Total Weight of Slice given Total Shear Force on Slice 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%
✖Horizontal Distance of the slice from the centre of the roattion.ⓘ Horizontal Distance [x]			+10% -10%

✖Total Weight of Slice in Soil Mechanics is Weight of the slice taken into the consideration.ⓘ Total Weight of Slice given Total Shear Force on Slice [ΣW]

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Formula

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Total Weight of Slice given Total Shear Force on Slice

Formula

`"ΣW" = ("ΣS"*"r")/"x"`

Example

`"21.19064N"=("32N"*"1.98m")/"2.99m"`

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Download Slope Stability Analysis using Bishops Method Formulas PDF

Total Weight of Slice given Total Shear Force on Slice Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Horizontal Distance - (Measured in Meter) - Horizontal Distance of the slice from the centre of the roattion.

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
Horizontal Distance: 2.99 Meter --> 2.99 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΣW = (ΣS*r)/x --> (32*1.98)/2.99

Evaluating ... ...

ΣW = 21.190635451505

STEP 3: Convert Result to Output's Unit

21.190635451505 Newton --> No Conversion Required

FINAL ANSWER

21.190635451505 ≈ 21.19064 Newton <-- Total Weight of Slice in Soil Mechanics

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

Total Weight of Slice given Total Shear Force on Slice Formula

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

What is Shear Force?

A shear force is a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. This results in a shear strain. In simple terms, one part of the surface is pushed in one direction, while another part of the surface is pushed in the opposite direction.

How to Calculate Total Weight of Slice given Total Shear Force on Slice?

Total Weight of Slice given Total Shear Force on Slice calculator uses Total Weight of Slice in Soil Mechanics = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Horizontal Distance to calculate the Total Weight of Slice in Soil Mechanics, The Total Weight of Slice given Total Shear Force on Slice is defined as the value of total weight of slice when we have prior information of other parameters used. Total Weight of Slice in Soil Mechanics is denoted by ΣW symbol.

How to calculate Total Weight of Slice given Total Shear Force on Slice using this online calculator? To use this online calculator for Total Weight of Slice given Total Shear Force on Slice, enter Total Shear Force in Soil Mechanics (ΣS), Radius of Soil Section (r) & Horizontal Distance (x) and hit the calculate button. Here is how the Total Weight of Slice given Total Shear Force on Slice calculation can be explained with given input values -> 21.19064 = (32*1.98)/2.99.

FAQ

What is Total Weight of Slice given Total Shear Force on Slice?

The Total Weight of Slice given Total Shear Force on Slice is defined as the value of total weight of slice when we have prior information of other parameters used and is represented as ΣW = (ΣS*r)/x or Total Weight of Slice in Soil Mechanics = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Horizontal Distance. 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 & Horizontal Distance of the slice from the centre of the roattion.

How to calculate Total Weight of Slice given Total Shear Force on Slice?

The Total Weight of Slice given Total Shear Force on Slice is defined as the value of total weight of slice when we have prior information of other parameters used is calculated using Total Weight of Slice in Soil Mechanics = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Horizontal Distance. To calculate Total Weight of Slice given Total Shear Force on Slice, you need Total Shear Force in Soil Mechanics (ΣS), Radius of Soil Section (r) & Horizontal Distance (x). With our tool, you need to enter the respective value for Total Shear Force in Soil Mechanics, Radius of Soil Section & Horizontal Distance 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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