Ultimate Resistance for Bearing Capacity Solution Calculator

✖Bell Diameter is the diameter of the bell of the pile.ⓘ Bell Diameter [D_b]			+10% -10%
✖Shaft Diameter in Soil Mechanics is the diameter of the shaft of the pile.ⓘ Shaft Diameter in Soil Mechanics [D_s]			+10% -10%
✖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.ⓘ Bearing Capacity Factor [N_c]			+10% -10%
✖Shear Strength Reduction Factor in Soil Mechanics is defined as the ratio of elastic strength to yield strength.ⓘ Shear Strength Reduction Factor in Soil Mechanics [Ꙍ]			+10% -10%
✖Undrained Shear Strength is the strength of the soil just above the bell surface.ⓘ Undrained Shear Strength [c_u]			+10% -10%
✖Shaft Weight in Soil Mechanics is the weight of the pile shaft.ⓘ Shaft Weight in Soil Mechanics [W_s]			+10% -10%

✖Ultimate Resistance is the amount of load applied to a component beyond which the component will fail.ⓘ Ultimate Resistance for Bearing Capacity Solution [Q_ul]

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Formula

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Ultimate Resistance for Bearing Capacity Solution

Formula

`"Q"_{"ul"} = (pi/4)*(("D"_{"b"}^2)-("D"_{"s"}^2))*("N"_{"c"}*"Ꙍ"*"c"_{"u"})+"W"_{"s"}`

Example

`"1897.543kN"=(pi/4)*((("2m")^2)-(("0.15m")^2))*("3.1"*"9.32"*"10kN/m²")+"994.98kN"`

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Ultimate Resistance for Bearing Capacity Solution Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
Q_ul = (pi/4)*((D_b^2)-(D_s^2))*(N_c*Ꙍ*c_u)+W_s
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Ultimate Resistance - (Measured in Newton) - Ultimate Resistance is the amount of load applied to a component beyond which the component will fail.
Bell Diameter - (Measured in Meter) - Bell Diameter is the diameter of the bell of the pile.
Shaft Diameter in Soil Mechanics - (Measured in Meter) - Shaft Diameter in Soil Mechanics is the diameter of the shaft of the pile.
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.
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.
Undrained Shear Strength - (Measured in Pascal) - Undrained Shear Strength is the strength of the soil just above the bell surface.
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

Bell Diameter: 2 Meter --> 2 Meter No Conversion Required
Shaft Diameter in Soil Mechanics: 0.15 Meter --> 0.15 Meter No Conversion Required
Bearing Capacity Factor: 3.1 --> No Conversion Required
Shear Strength Reduction Factor in Soil Mechanics: 9.32 --> No Conversion Required
Undrained Shear Strength: 10 Kilonewton per Square Meter --> 10000 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

Q_ul = (pi/4)*((D_b^2)-(D_s^2))*(N_c*Ꙍ*c_u)+W_s --> (pi/4)*((2^2)-(0.15^2))*(3.1*9.32*10000)+994980

Evaluating ... ...

Q_ul = 1897543.31163437

STEP 3: Convert Result to Output's Unit

1897543.31163437 Newton -->1897.54331163437 Kilonewton (Check conversion here)

FINAL ANSWER

1897.54331163437 ≈ 1897.543 Kilonewton <-- Ultimate Resistance

(Calculation completed in 00.004 seconds)

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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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

Ultimate Resistance for Bearing Capacity Solution Formula

What is Ultimate Resistance?

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

How to Calculate Ultimate Resistance for Bearing Capacity Solution?

Ultimate Resistance for Bearing Capacity Solution calculator 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 calculate 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 calculate Ultimate Resistance for Bearing Capacity Solution using this online calculator? To use this online calculator 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. Here is how the Ultimate Resistance for Bearing Capacity Solution calculation can be explained with given input values -> 1.897543 = (pi/4)*((2^2)-(0.15^2))*(3.1*9.32*10000)+994980.

FAQ

What is Ultimate Resistance for Bearing Capacity Solution?

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 and is represented as Q_ul = (pi/4)*((D_b^2)-(D_s^2))*(N_c*Ꙍ*c_u)+W_s or 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. Bell Diameter is the diameter of the bell of the pile, Shaft Diameter in Soil Mechanics is the diameter of the shaft of the pile, 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, Shear Strength Reduction Factor in Soil Mechanics is defined as the ratio of elastic strength to yield strength, Undrained Shear Strength is the strength of the soil just above the bell surface & Shaft Weight in Soil Mechanics is the weight of the pile shaft.

How to calculate Ultimate Resistance for Bearing Capacity Solution?

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 is calculated using 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 calculate Ultimate Resistance for Bearing Capacity Solution, you need 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). With our tool, you need to enter the respective value for Bell Diameter, Shaft Diameter in Soil Mechanics, Bearing Capacity Factor, Shear Strength Reduction Factor in Soil Mechanics, Undrained Shear Strength & 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.

How many ways are there to calculate Ultimate Resistance?

In this formula, Ultimate Resistance uses Bell Diameter, Shaft Diameter in Soil Mechanics, Bearing Capacity Factor, Shear Strength Reduction Factor in Soil Mechanics, Undrained Shear Strength & Shaft Weight in Soil Mechanics. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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