Weight of Shaft given Ultimate Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shaft Weight = (Ultimate Resistance-Weight of Soil)/(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics)
Wp = (Qul-Wsoil)/(pi*L*f ut)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Shaft Weight - (Measured in Newton) - Shaft Weight is the weight of the pile shaft.
Ultimate Resistance - (Measured in Newton) - Ultimate Resistance is the amount of load applied to a component beyond which the component will fail.
Weight of Soil - (Measured in Newton) - Weight of Soil is the weight of soil contained within the failure plane.
Length of Soil Section - (Measured in Meter) - Length of Soil Section is the vertical or horizontal extent of soil being analyzed or considered within a specific context.
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.
STEP 1: Convert Input(s) to Base Unit
Ultimate Resistance: 1000 Kilonewton --> 1000000 Newton (Check conversion ​here)
Weight of Soil: 4.9 Kilonewton --> 4900 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wp = (Qul-Wsoil)/(pi*L*f ut) --> (1000000-4900)/(pi*0.52*12)
Evaluating ... ...
Wp = 50761.244830367
STEP 3: Convert Result to Output's Unit
50761.244830367 Newton -->50.761244830367 Kilonewton (Check conversion ​here)
FINAL ANSWER
50.761244830367 50.76124 Kilonewton <-- Shaft Weight
(Calculation completed in 00.004 seconds)

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Don Bosco College of Engineering (DBCE), Goa
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Shaft Settlement and Resistance Calculators

Ultimate Resistance for Bearing Capacity Solution
​ LaTeX ​ 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
Ultimate Resistance for Cohesive and Cohesion less Soils
​ LaTeX ​ Go Ultimate Resistance = pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics+Weight of Soil+Shaft Weight in Soil Mechanics
Average Standard Penetration Resistance using Shaft Resistance Stress
​ LaTeX ​ Go Average Standard Penetration = Shaft Resistance Stress in Soil Mechanics*50
Shaft Resistance Stress by Empirical Procedure
​ LaTeX ​ Go Shaft Resistance Stress in Soil Mechanics = Average Standard Penetration/50

Weight of Shaft given Ultimate Resistance Formula

​LaTeX ​Go
Shaft Weight = (Ultimate Resistance-Weight of Soil)/(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics)
Wp = (Qul-Wsoil)/(pi*L*f ut)

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 Shaft given Ultimate Resistance?

Weight of Shaft given Ultimate Resistance calculator uses Shaft Weight = (Ultimate Resistance-Weight of Soil)/(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics) to calculate the Shaft Weight, The Weight of Shaft given Ultimate Resistance formula is defined as a function of ultimate resistance, the weight of soil contained within the failure plan, and the average ultimate skin-friction stress. Shaft Weight is denoted by Wp symbol.

How to calculate Weight of Shaft given Ultimate Resistance using this online calculator? To use this online calculator for Weight of Shaft given Ultimate Resistance, enter Ultimate Resistance (Qul), Weight of Soil (Wsoil), Length of Soil Section (L) & Skin Friction Stress in Soil Mechanics (f ut) and hit the calculate button. Here is how the Weight of Shaft given Ultimate Resistance calculation can be explained with given input values -> 0.050761 = (1000000-4900)/(pi*0.52*12).

FAQ

What is Weight of Shaft given Ultimate Resistance?
The Weight of Shaft given Ultimate Resistance formula is defined as a function of ultimate resistance, the weight of soil contained within the failure plan, and the average ultimate skin-friction stress and is represented as Wp = (Qul-Wsoil)/(pi*L*f ut) or Shaft Weight = (Ultimate Resistance-Weight of Soil)/(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics). Ultimate Resistance is the amount of load applied to a component beyond which the component will fail, Weight of Soil is the weight of soil contained within the failure plane, Length of Soil Section is the vertical or horizontal extent of soil being analyzed or considered within a specific context & Skin Friction Stress in Soil Mechanics is the average ultimate skin- friction stress in tension developed on the failure plane.
How to calculate Weight of Shaft given Ultimate Resistance?
The Weight of Shaft given Ultimate Resistance formula is defined as a function of ultimate resistance, the weight of soil contained within the failure plan, and the average ultimate skin-friction stress is calculated using Shaft Weight = (Ultimate Resistance-Weight of Soil)/(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics). To calculate Weight of Shaft given Ultimate Resistance, you need Ultimate Resistance (Qul), Weight of Soil (Wsoil), Length of Soil Section (L) & Skin Friction Stress in Soil Mechanics (f ut). With our tool, you need to enter the respective value for Ultimate Resistance, Weight of Soil, Length of Soil Section & Skin Friction Stress 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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