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Weight of Shaft given Ultimate Resistance Formula

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Shaft Weight is the weight of the pile shaft. Check FAQs

W p = \frac{Q ul - W soil}{π \cdot L \cdot f ut}

W_p - Shaft Weight?Q_ul - Ultimate Resistance?W_soil - Weight of Soil?L - Length of Soil Section?f _ut - Skin Friction Stress in Soil Mechanics?π - Archimedes' constant?

Weight of Shaft given Ultimate Resistance Example

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Here is how the Weight of Shaft given Ultimate Resistance equation looks like with Values.

Here is how the Weight of Shaft given Ultimate Resistance equation looks like with Units.

Here is how the Weight of Shaft given Ultimate Resistance equation looks like.

50.7612 = \frac{1000 - 4.9}{3.1416 \cdot 0.52 \cdot 0.012}

50.7612kN = \frac{1000kN - 4.9kN}{3.1416 \cdot 0.52m \cdot 0.012kN/m²}

50.7612 = \frac{1000 - 4.9}{3.1416 \cdot 0.52 \cdot 0.012}

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Weight of Shaft given Ultimate Resistance Solution

Follow our step by step solution on how to calculate Weight of Shaft given Ultimate Resistance?

FIRST Step Consider the formula

W p = \frac{Q ul - W soil}{π \cdot L \cdot f ut}

Next Step Substitute values of Variables

∴

W p = \frac{1000kN - 4.9kN}{π \cdot 0.52m \cdot 0.012kN/m²}

Next Step Substitute values of Constants

∴

W p = \frac{1000kN - 4.9kN}{3.1416 \cdot 0.52m \cdot 0.012kN/m²}

Next Step Convert Units

∴

W p = \frac{1E+6N - 4900N}{3.1416 \cdot 0.52m \cdot 12Pa}

Next Step Prepare to Evaluate

∴

W p = \frac{1E+6 - 4900}{3.1416 \cdot 0.52 \cdot 12}

Next Step Evaluate

∴

W p = 50761.244830367N

Next Step Convert to Output's Unit

∴

W p = 50.761244830367kN

LAST Step Rounding Answer

∴

W p = 50.7612kN

Weight of Shaft given Ultimate Resistance Formula Elements

Variables

Constants

Shaft Weight

Shaft Weight is the weight of the pile shaft.

Symbol: W_p

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shaft Weight

Ultimate Resistance

Ultimate Resistance is the amount of load applied to a component beyond which the component will fail.

Symbol: Q_ul

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Ultimate Resistance

Weight of Soil

Weight of Soil is the weight of soil contained within the failure plane.

Symbol: W_soil

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Weight of Soil

Length of Soil Section

Length of Soil Section is the vertical or horizontal extent of soil being analyzed or considered within a specific context.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Soil Section

Skin Friction Stress in Soil Mechanics

Skin Friction Stress in Soil Mechanics is the average ultimate skin- friction stress in tension developed on the failure plane.

Symbol: f _ut

Measurement: PressureUnit: kN/m²

Note: Value can be positive or negative.

Formulas to find Skin Friction Stress in Soil Mechanics

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Shaft Settlement and Resistance category

Go Shaft Resistance Stress by Empirical Procedure

f sr = \frac{N}{50}

Go Average Standard Penetration Resistance using Shaft Resistance Stress

N = f sr \cdot 50

Go Ultimate Resistance for Bearing Capacity Solution

Q ul = (\frac{π}{4}) \cdot (({D b}^{2}) - ({D s}^{2})) \cdot (N c \cdot Ꙍ \cdot c u) + W s

Go Ultimate Resistance for Cohesive and Cohesion less Soils

Q ul = π \cdot L \cdot f ut + W soil + W s

How to Evaluate Weight of Shaft given Ultimate Resistance?

Weight of Shaft given Ultimate Resistance evaluator uses Shaft Weight = (Ultimate Resistance-Weight of Soil)/(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics) to evaluate 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 W_p symbol.

How to evaluate Weight of Shaft given Ultimate Resistance using this online evaluator? To use this online evaluator for Weight of Shaft given Ultimate Resistance, enter Ultimate Resistance (Q_ul), Weight of Soil (W_soil), Length of Soil Section (L) & Skin Friction Stress in Soil Mechanics (f _ut) and hit the calculate button.

FAQs on Weight of Shaft given Ultimate Resistance

What is the formula to find Weight of Shaft given Ultimate Resistance?

The formula of Weight of Shaft given Ultimate Resistance is expressed as Shaft Weight = (Ultimate Resistance-Weight of Soil)/(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics). Here is an example- 0.050761 = (1000000-4900)/(pi*0.52*12).

How to calculate Weight of Shaft given Ultimate Resistance?

With Ultimate Resistance (Q_ul), Weight of Soil (W_soil), Length of Soil Section (L) & Skin Friction Stress in Soil Mechanics (f _ut) we can find Weight of Shaft given Ultimate Resistance using the formula - Shaft Weight = (Ultimate Resistance-Weight of Soil)/(pi*Length of Soil Section*Skin Friction Stress in Soil Mechanics). This formula also uses Archimedes' constant .

Can the Weight of Shaft given Ultimate Resistance be negative?

Yes, the Weight of Shaft given Ultimate Resistance, measured in Force can be negative.

Which unit is used to measure Weight of Shaft given Ultimate Resistance?

Weight of Shaft given Ultimate Resistance is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Weight of Shaft given Ultimate Resistance can be measured.

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Weight of Shaft given Ultimate Resistance Formula

Weight of Shaft given Ultimate Resistance Example

Weight of Shaft given Ultimate Resistance Solution

Weight of Shaft given Ultimate Resistance Formula Elements

Other formulas in Shaft Settlement and Resistance category

How to Evaluate Weight of Shaft given Ultimate Resistance?

FAQs on Weight of Shaft given Ultimate Resistance

Variable Name