Height of Slice given Pore Pressure Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Slice = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Unit Weight of Soil))
z = (Fu/(ru*γ))
This formula uses 4 Variables
Variables Used
Height of Slice - (Measured in Meter) - Height of Slice taken into the consideration.
Upward Force in Seepage Analysis - (Measured in Pascal) - Upward Force in Seepage Analysis is due to seepage water.
Pore Pressure Ratio - Pore pressure ratio is a crude way of describing pore-water conditions in a slope stability analysis.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
STEP 1: Convert Input(s) to Base Unit
Upward Force in Seepage Analysis: 52.89 Kilonewton per Square Meter --> 52890 Pascal (Check conversion here)
Pore Pressure Ratio: 0.9 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z = (Fu/(ru*γ)) --> (52890/(0.9*18000))
Evaluating ... ...
z = 3.26481481481481
STEP 3: Convert Result to Output's Unit
3.26481481481481 Meter --> No Conversion Required
FINAL ANSWER
3.26481481481481 3.264815 Meter <-- Height of Slice
(Calculation completed in 00.020 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

Height of Slice given Pore Pressure Ratio Formula

Height of Slice = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Unit Weight of Soil))
z = (Fu/(ru*γ))

What is Pore Water Pressure?

Pore water pressure refers to the pressure of groundwater held within a soil or rock, in gaps between particles. Pore water pressures below the phreatic level of the groundwater are measured with piezometers.

How to Calculate Height of Slice given Pore Pressure Ratio?

Height of Slice given Pore Pressure Ratio calculator uses Height of Slice = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Unit Weight of Soil)) to calculate the Height of Slice, The Height of Slice given Pore Pressure Ratio is defined as the value of height of slice when we have prior information of other parameters used. Height of Slice is denoted by z symbol.

How to calculate Height of Slice given Pore Pressure Ratio using this online calculator? To use this online calculator for Height of Slice given Pore Pressure Ratio, enter Upward Force in Seepage Analysis (Fu), Pore Pressure Ratio (ru) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Height of Slice given Pore Pressure Ratio calculation can be explained with given input values -> 3.264815 = (52890/(0.9*18000)).

FAQ

What is Height of Slice given Pore Pressure Ratio?
The Height of Slice given Pore Pressure Ratio is defined as the value of height of slice when we have prior information of other parameters used and is represented as z = (Fu/(ru*γ)) or Height of Slice = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Unit Weight of Soil)). Upward Force in Seepage Analysis is due to seepage water, Pore pressure ratio is a crude way of describing pore-water conditions in a slope stability analysis & Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
How to calculate Height of Slice given Pore Pressure Ratio?
The Height of Slice given Pore Pressure Ratio is defined as the value of height of slice when we have prior information of other parameters used is calculated using Height of Slice = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Unit Weight of Soil)). To calculate Height of Slice given Pore Pressure Ratio, you need Upward Force in Seepage Analysis (Fu), Pore Pressure Ratio (ru) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Upward Force in Seepage Analysis, Pore Pressure Ratio & Unit Weight of Soil 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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