Radius of Arc when Total Shear Force on Slice is Available Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics
r = (ΣW*x)/ΣS
This formula uses 4 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Total Weight of Slice in Soil Mechanics: 59.8 Newton --> 59.8 Newton No Conversion Required
Horizontal Distance: 2.99 Meter --> 2.99 Meter No Conversion Required
Total Shear Force in Soil Mechanics: 32 Newton --> 32 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (ΣW*x)/ΣS --> (59.8*2.99)/32
Evaluating ... ...
r = 5.5875625
STEP 3: Convert Result to Output's Unit
5.5875625 Meter --> No Conversion Required
FINAL ANSWER
5.5875625 5.587562 Meter <-- Radius of Soil Section
(Calculation completed in 00.004 seconds)

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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

Radius of Arc when Total Shear Force on Slice is Available Formula

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

What is Arc?

An arc is a portion of the circumference of a circle.Strictly speaking, an arc could be a portion of some other curved shape, such as an ellipse, but it almost always refers to a circle.

How to Calculate Radius of Arc when Total Shear Force on Slice is Available?

Radius of Arc when Total Shear Force on Slice is Available calculator uses Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics to calculate the Radius of Soil Section, The Radius of Arc when Total Shear Force on Slice is Available is defined as geometric parameter influencing stability of slopes in Bishop's method. Radius of Soil Section is denoted by r symbol.

How to calculate Radius of Arc when Total Shear Force on Slice is Available using this online calculator? To use this online calculator for Radius of Arc when Total Shear Force on Slice is Available, enter Total Weight of Slice in Soil Mechanics (ΣW), Horizontal Distance (x) & Total Shear Force in Soil Mechanics (ΣS) and hit the calculate button. Here is how the Radius of Arc when Total Shear Force on Slice is Available calculation can be explained with given input values -> 2.04815 = (59.8*2.99)/32.

FAQ

What is Radius of Arc when Total Shear Force on Slice is Available?
The Radius of Arc when Total Shear Force on Slice is Available is defined as geometric parameter influencing stability of slopes in Bishop's method and is represented as r = (ΣW*x)/ΣS or Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics. Total Weight of Slice in Soil Mechanics is Weight of the slice taken into the consideration, Horizontal Distance of the slice from the centre of the roattion & Total Shear Force in Soil Mechanics acting on the slice under the consideration.
How to calculate Radius of Arc when Total Shear Force on Slice is Available?
The Radius of Arc when Total Shear Force on Slice is Available is defined as geometric parameter influencing stability of slopes in Bishop's method is calculated using Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics. To calculate Radius of Arc when Total Shear Force on Slice is Available, you need Total Weight of Slice in Soil Mechanics (ΣW), Horizontal Distance (x) & Total Shear Force in Soil Mechanics (ΣS). With our tool, you need to enter the respective value for Total Weight of Slice in Soil Mechanics, Horizontal Distance & Total Shear Force 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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