Weight of Soil Contained within Failure Plane Calculator

✖Ultimate Resistance is the amount of load applied to a component beyond which the component will fail.ⓘ Ultimate Resistance [Q_ul]			+10% -10%
✖Length of Soil Section is the measurement or extent of something from end to end.ⓘ Length of Soil Section [L]			+10% -10%
✖Skin Friction Stress in Soil Mechanics is the average ultimate skin- friction stress in tension developed on the failure plane.ⓘ Skin Friction Stress in Soil Mechanics [f _ut]			+10% -10%
✖Shaft Weight in Soil Mechanics is the weight of the pile shaft.ⓘ Shaft Weight in Soil Mechanics [W_s]			+10% -10%

✖Weight of Soil is the weight of soil contained within the failure plane.ⓘ Weight of Soil Contained within Failure Plane [W_soil]

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Formula

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Weight of Soil Contained within Failure Plane

Formula

`"W"_{"soil"} = "Q"_{"ul"}-(pi*"L"*"f "_{"ut"})-"W"_{"s"}`

Example

`"5.000396kN"="1000kN"-(pi*"0.52m"*"0.012kN/m²")-"994.98kN"`

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Weight of Soil Contained within Failure Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight of Soil = Ultimate Resistance-(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics)-Shaft Weight in Soil Mechanics
W_soil = Q_ul-(pi*L*f _ut)-W_s
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Weight of Soil - (Measured in Newton) - Weight of Soil is the weight of soil contained within the failure plane.
Ultimate Resistance - (Measured in Newton) - Ultimate Resistance is the amount of load applied to a component beyond which the component will fail.
Length of Soil Section - (Measured in Meter) - Length of Soil Section is the measurement or extent of something from end to end.
Skin Friction Stress in Soil Mechanics - (Measured in Pascal) - Skin Friction Stress in Soil Mechanics is the average ultimate skin- friction stress in tension developed on the failure plane.
Shaft Weight in Soil Mechanics - (Measured in Newton) - Shaft Weight in Soil Mechanics is the weight of the pile shaft.

STEP 1: Convert Input(s) to Base Unit

Ultimate Resistance: 1000 Kilonewton --> 1000000 Newton (Check conversion here)
Length of Soil Section: 0.52 Meter --> 0.52 Meter No Conversion Required
Skin Friction Stress in Soil Mechanics: 0.012 Kilonewton per Square Meter --> 12 Pascal (Check conversion here)
Shaft Weight in Soil Mechanics: 994.98 Kilonewton --> 994980 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_soil = Q_ul-(pi*L*f _ut)-W_s --> 1000000-(pi*0.52*12)-994980

Evaluating ... ...

W_soil = 5000.39646184165

STEP 3: Convert Result to Output's Unit

5000.39646184165 Newton -->5.00039646184165 Kilonewton (Check conversion here)

FINAL ANSWER

5.00039646184165 ≈ 5.000396 Kilonewton <-- Weight of Soil

(Calculation completed in 00.020 seconds)

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Calculator and 100+ more calculators!

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Indian Institute of Information Technology (IIIT), Bhopal

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< 7 Shaft Settlement and Resistance Calculators

Ultimate Resistance for Bearing Capacity Solution

Go Ultimate Resistance = (pi/4)*((Bell Diameter^2)-(Shaft Diameter in Soil Mechanics^2))*(Bearing Capacity Factor*Shear Strength Reduction Factor in Soil Mechanics*Undrained Shear Strength)+Shaft Weight in Soil Mechanics

Average Ultimate Skin-Friction Stress in Tension on Failure Plane

Go Skin Friction Stress in Soil Mechanics = ((Ultimate Resistance-Weight of Soil-Shaft Weight in Soil Mechanics)/(pi*Length of Soil Section))

Weight of Soil Contained within Failure Plane

Go Weight of Soil = Ultimate Resistance-(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics)-Shaft Weight in Soil Mechanics

Ultimate Resistance for Cohesive and Cohesion less Soils

Go Ultimate Resistance = pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics+Weight of Soil+Shaft Weight in Soil Mechanics

Weight of Shaft given Ultimate Resistance

Go Shaft Weight = (Ultimate Resistance-Weight of Soil)/(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics)

Average Standard Penetration Resistance using Shaft Resistance Stress

Go Average Standard Penetration = Shaft Resistance Stress in Soil Mechanics*50

Shaft Resistance Stress by Empirical Procedure

Go Shaft Resistance Stress in Soil Mechanics = Average Standard Penetration/50

Weight of Soil Contained within Failure Plane Formula

Weight of Soil = Ultimate Resistance-(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics)-Shaft Weight in Soil Mechanics
W_soil = Q_ul-(pi*L*f _ut)-W_s

What is Ultimate Resistance?

Ultimate Resistance is the amount of load applied to a component beyond which the component will fail. The Ultimate Resistance is the Limit Load multiplied by a prescribed Safety Factor of 1.5.

How to Calculate Weight of Soil Contained within Failure Plane?

Weight of Soil Contained within Failure Plane calculator uses Weight of Soil = Ultimate Resistance-(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics)-Shaft Weight in Soil Mechanics to calculate the Weight of Soil, The Weight of Soil Contained within Failure Plane formula is defined as a function of ultimate resistance, ultimate skin-friction stress in tension and weight of the shaft. Weight of Soil is denoted by W_soil symbol.

How to calculate Weight of Soil Contained within Failure Plane using this online calculator? To use this online calculator for Weight of Soil Contained within Failure Plane, enter Ultimate Resistance (Q_ul), Length of Soil Section (L), Skin Friction Stress in Soil Mechanics (f _ut) & Shaft Weight in Soil Mechanics (W_s) and hit the calculate button. Here is how the Weight of Soil Contained within Failure Plane calculation can be explained with given input values -> 0.005 = 1000000-(pi*0.52*12)-994980.

FAQ

What is Weight of Soil Contained within Failure Plane?

The Weight of Soil Contained within Failure Plane formula is defined as a function of ultimate resistance, ultimate skin-friction stress in tension and weight of the shaft and is represented as W_soil = Q_ul-(pi*L*f _ut)-W_s or Weight of Soil = Ultimate Resistance-(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics)-Shaft Weight in Soil Mechanics. Ultimate Resistance is the amount of load applied to a component beyond which the component will fail, Length of Soil Section is the measurement or extent of something from end to end, Skin Friction Stress in Soil Mechanics is the average ultimate skin- friction stress in tension developed on the failure plane & Shaft Weight in Soil Mechanics is the weight of the pile shaft.

How to calculate Weight of Soil Contained within Failure Plane?

The Weight of Soil Contained within Failure Plane formula is defined as a function of ultimate resistance, ultimate skin-friction stress in tension and weight of the shaft is calculated using Weight of Soil = Ultimate Resistance-(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics)-Shaft Weight in Soil Mechanics. To calculate Weight of Soil Contained within Failure Plane, you need Ultimate Resistance (Q_ul), Length of Soil Section (L), Skin Friction Stress in Soil Mechanics (f _ut) & Shaft Weight in Soil Mechanics (W_s). With our tool, you need to enter the respective value for Ultimate Resistance, Length of Soil Section, Skin Friction Stress in Soil Mechanics & Shaft Weight 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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