Pore Pressure Ratio given Unit Weight Calculator

✖Upward Force in Seepage Analysis is due to seepage water.ⓘ Upward Force in Seepage Analysis [F_u]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Height of Slice taken into the consideration.ⓘ Height of Slice [z]			+10% -10%

✖Pore pressure ratio is a crude way of describing pore-water conditions in a slope stability analysis.ⓘ Pore Pressure Ratio given Unit Weight [r_u]

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Formula

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Pore Pressure Ratio given Unit Weight

Formula

`"r"_{"u"} = ("F"_{"u"}/("γ"*"z"))`

Example

`"0.979444"=("52.89kN/m²"/("18kN/m³"*"3.0m"))`

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Download Slope Stability Analysis using Bishops Method Formulas PDF

Pore Pressure Ratio given Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pore Pressure Ratio = (Upward Force in Seepage Analysis/(Unit Weight of Soil*Height of Slice))
r_u = (F_u/(γ*z))
This formula uses 4 Variables

Variables Used

Pore Pressure Ratio - Pore pressure ratio is a crude way of describing pore-water conditions in a slope stability analysis.
Upward Force in Seepage Analysis - (Measured in Pascal) - Upward Force in Seepage Analysis is due to seepage water.
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.
Height of Slice - (Measured in Meter) - Height of Slice taken into the consideration.

STEP 1: Convert Input(s) to Base Unit

Upward Force in Seepage Analysis: 52.89 Kilonewton per Square Meter --> 52890 Pascal (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Height of Slice: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_u = (F_u/(γ*z)) --> (52890/(18000*3))

Evaluating ... ...

r_u = 0.979444444444444

STEP 3: Convert Result to Output's Unit

0.979444444444444 --> No Conversion Required

FINAL ANSWER

0.979444444444444 ≈ 0.979444 <-- Pore Pressure Ratio

(Calculation completed in 00.004 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

Pore Pressure Ratio given Unit Weight Formula

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

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 Pore Pressure Ratio given Unit Weight?

Pore Pressure Ratio given Unit Weight calculator uses Pore Pressure Ratio = (Upward Force in Seepage Analysis/(Unit Weight of Soil*Height of Slice)) to calculate the Pore Pressure Ratio, The Pore Pressure Ratio given Unit Weight is defined as the pressure of the fluid in the pore space that may influence Bishop's method of slope stability. Pore Pressure Ratio is denoted by r_u symbol.

How to calculate Pore Pressure Ratio given Unit Weight using this online calculator? To use this online calculator for Pore Pressure Ratio given Unit Weight, enter Upward Force in Seepage Analysis (F_u), Unit Weight of Soil (γ) & Height of Slice (z) and hit the calculate button. Here is how the Pore Pressure Ratio given Unit Weight calculation can be explained with given input values -> 0.979444 = (52890/(18000*3)).

FAQ

What is Pore Pressure Ratio given Unit Weight?

The Pore Pressure Ratio given Unit Weight is defined as the pressure of the fluid in the pore space that may influence Bishop's method of slope stability and is represented as r_u = (F_u/(γ*z)) or Pore Pressure Ratio = (Upward Force in Seepage Analysis/(Unit Weight of Soil*Height of Slice)). Upward Force in Seepage Analysis is due to seepage water, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Height of Slice taken into the consideration.

How to calculate Pore Pressure Ratio given Unit Weight?

The Pore Pressure Ratio given Unit Weight is defined as the pressure of the fluid in the pore space that may influence Bishop's method of slope stability is calculated using Pore Pressure Ratio = (Upward Force in Seepage Analysis/(Unit Weight of Soil*Height of Slice)). To calculate Pore Pressure Ratio given Unit Weight, you need Upward Force in Seepage Analysis (F_u), Unit Weight of Soil (γ) & Height of Slice (z). With our tool, you need to enter the respective value for Upward Force in Seepage Analysis, Unit Weight of Soil & Height of Slice and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pore Pressure Ratio?

In this formula, Pore Pressure Ratio uses Upward Force in Seepage Analysis, Unit Weight of Soil & Height of Slice. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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