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Ultimate Resistance for Bearing Capacity Solution Formula

GoUltimate Resistance for Cohesive and Cohesion less Soils Formula

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

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

Q_ul - Ultimate Resistance?D_b - Bell Diameter?D_s - Shaft Diameter in Soil Mechanics?N_c - Bearing Capacity Factor?Ꙍ - Shear Strength Reduction Factor in Soil Mechanics?c_u - Undrained Shear Strength?W_s - Shaft Weight in Soil Mechanics?π - Archimedes' constant?

Ultimate Resistance for Bearing Capacity Solution Example

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Here is how the Ultimate Resistance for Bearing Capacity Solution equation looks like with Values.

Here is how the Ultimate Resistance for Bearing Capacity Solution equation looks like with Units.

Here is how the Ultimate Resistance for Bearing Capacity Solution equation looks like.

1897.5433 = (\frac{3.1416}{4}) \cdot ((2^{2}) - ({0.15}^{2})) \cdot (3.1 \cdot 9.32 \cdot 10) + 994.98

1897.5433kN = (\frac{3.1416}{4}) \cdot (({2m}^{2}) - ({0.15m}^{2})) \cdot (3.1 \cdot 9.32 \cdot 10kN/m²) + 994.98kN

1897.5433 = (\frac{3.1416}{4}) \cdot ((2^{2}) - ({0.15}^{2})) \cdot (3.1 \cdot 9.32 \cdot 10) + 994.98

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Ultimate Resistance for Bearing Capacity Solution Solution

Follow our step by step solution on how to calculate Ultimate Resistance for Bearing Capacity Solution?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q ul = (\frac{π}{4}) \cdot (({2m}^{2}) - ({0.15m}^{2})) \cdot (3.1 \cdot 9.32 \cdot 10kN/m²) + 994.98kN

Next Step Substitute values of Constants

∴

Q ul = (\frac{3.1416}{4}) \cdot (({2m}^{2}) - ({0.15m}^{2})) \cdot (3.1 \cdot 9.32 \cdot 10kN/m²) + 994.98kN

Next Step Convert Units

∴

Q ul = (\frac{3.1416}{4}) \cdot (({2m}^{2}) - ({0.15m}^{2})) \cdot (3.1 \cdot 9.32 \cdot 10000Pa) + 994980N

Next Step Prepare to Evaluate

∴

Q ul = (\frac{3.1416}{4}) \cdot ((2^{2}) - ({0.15}^{2})) \cdot (3.1 \cdot 9.32 \cdot 10000) + 994980

Next Step Evaluate

∴

Q ul = 1897543.31163437N

Next Step Convert to Output's Unit

∴

Q ul = 1897.54331163437kN

LAST Step Rounding Answer

∴

Q ul = 1897.5433kN

Ultimate Resistance for Bearing Capacity Solution Formula Elements

Variables

Constants

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

Bell Diameter

Bell Diameter is the diameter of the bell of the pile.

Symbol: D_b

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Bell Diameter

Shaft Diameter in Soil Mechanics

Shaft Diameter in Soil Mechanics is the diameter of the shaft of the pile.

Symbol: D_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Shaft Diameter in Soil Mechanics

Bearing Capacity Factor

Bearing Capacity Factor is empirically derived factors used in a bearing capacity equation that usually correlates with the angle of internal friction of the soil.

Symbol: N_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Bearing Capacity Factor

Shear Strength Reduction Factor in Soil Mechanics

Shear Strength Reduction Factor in Soil Mechanics is defined as the ratio of elastic strength to yield strength.

Symbol: Ꙍ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Shear Strength Reduction Factor in Soil Mechanics

Undrained Shear Strength

Undrained Shear Strength is the strength of the soil just above the bell surface.

Symbol: c_u

Measurement: PressureUnit: kN/m²

Note: Value can be positive or negative.

Formulas to find Undrained Shear Strength

Shaft Weight in Soil Mechanics

Shaft Weight in Soil Mechanics is the weight of the pile shaft.

Symbol: W_s

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shaft Weight 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 to find Ultimate Resistance

Go Ultimate Resistance for Cohesive and Cohesion less Soils

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

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

How to Evaluate Ultimate Resistance for Bearing Capacity Solution?

Ultimate Resistance for Bearing Capacity Solution evaluator uses 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 to evaluate the Ultimate Resistance, The Ultimate Resistance for Bearing Capacity Solution is defined as a function of the bell diameter and the shaft diameter. The formula is used to find the ultimate resistance to uplift of a belled shaft for cohesive soils. Ultimate Resistance is denoted by Q_ul symbol.

How to evaluate Ultimate Resistance for Bearing Capacity Solution using this online evaluator? To use this online evaluator for Ultimate Resistance for Bearing Capacity Solution, enter Bell Diameter (D_b), Shaft Diameter in Soil Mechanics (D_s), Bearing Capacity Factor (N_c), Shear Strength Reduction Factor in Soil Mechanics (Ꙍ), Undrained Shear Strength (c_u) & Shaft Weight in Soil Mechanics (W_s) and hit the calculate button.

FAQs on Ultimate Resistance for Bearing Capacity Solution

What is the formula to find Ultimate Resistance for Bearing Capacity Solution?

The formula of Ultimate Resistance for Bearing Capacity Solution is expressed as 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. Here is an example- 1.897543 = (pi/4)*((2^2)-(0.15^2))*(3.1*9.32*10000)+994980.

How to calculate Ultimate Resistance for Bearing Capacity Solution?

With Bell Diameter (D_b), Shaft Diameter in Soil Mechanics (D_s), Bearing Capacity Factor (N_c), Shear Strength Reduction Factor in Soil Mechanics (Ꙍ), Undrained Shear Strength (c_u) & Shaft Weight in Soil Mechanics (W_s) we can find Ultimate Resistance for Bearing Capacity Solution using the formula - 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. This formula also uses Archimedes' constant .

What are the other ways to Calculate Ultimate Resistance?

Here are the different ways to Calculate Ultimate Resistance-

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

Can the Ultimate Resistance for Bearing Capacity Solution be negative?

Yes, the Ultimate Resistance for Bearing Capacity Solution, measured in Force can be negative.

Which unit is used to measure Ultimate Resistance for Bearing Capacity Solution?

Ultimate Resistance for Bearing Capacity Solution is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Ultimate Resistance for Bearing Capacity Solution can be measured.

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Ultimate Resistance for Bearing Capacity Solution Formula

​GoUltimate Resistance for Cohesive and Cohesion less Soils Formula

Ultimate Resistance for Bearing Capacity Solution Example

Ultimate Resistance for Bearing Capacity Solution Solution

Ultimate Resistance for Bearing Capacity Solution Formula Elements

Other Formulas to find Ultimate Resistance

Other formulas in Shaft Settlement and Resistance category

How to Evaluate Ultimate Resistance for Bearing Capacity Solution?

FAQs on Ultimate Resistance for Bearing Capacity Solution

Variable Name

GoUltimate Resistance for Cohesive and Cohesion less Soils Formula