✖Allowable Design Load on Rock Socket is the max load that a rock socketed foundation element, can safely support without exceeding the rock’s bearing capacity or causing unacceptable settlement.ⓘ Allowable Design Load on Rock Socket [Q_d]			+10% -10%
✖Socket Diameter is the diameter of the cavity or hole created in the ground or rock into which a pile or foundation element is inserted or placed.ⓘ Socket Diameter [d_s]			+10% -10%
✖Allowable Bearing Pressure on Rock is the maximum pressure that can be applied to the surface of a rock mass without causing unacceptable settlement or failure of the rock.ⓘ Allowable Bearing Pressure on Rock [q_a]			+10% -10%
✖Allowable Concrete-Rock Bond Stress is the maximum shear stress that can be safely transferred from concrete to rock at their interface without causing a failure.ⓘ Allowable Concrete-Rock Bond Stress [f_g]			+10% -10%

✖Socket Length is the depth or length of a borehole or excavation in which a foundation element, such as a pile or a drilled shaft, is embedded or seated.ⓘ Socket Length given Allowable Design Load on Rock Socket [L_s]

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Formula

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Socket Length given Allowable Design Load on Rock Socket

Formula

`"L"_{"s"} = ("Q"_{"d"}-((pi*("d"_{"s"}^2)*"q"_{"a"})/4))/(pi*"d"_{"s"}*"f"_{"g"})`

Example

`"2.000599m"=("10.0MPa"-((pi*(("0.5m")^2)*"18.92MPa")/4))/(pi*"0.5m"*"2MPa")`

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Socket Length given Allowable Design Load on Rock Socket Solution

STEP 0: Pre-Calculation Summary

Formula Used

Socket Length = (Allowable Design Load on Rock Socket-((pi*(Socket Diameter^2)*Allowable Bearing Pressure on Rock)/4))/(pi*Socket Diameter*Allowable Concrete-Rock Bond Stress)
L_s = (Q_d-((pi*(d_s^2)*q_a)/4))/(pi*d_s*f_g)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Socket Length - (Measured in Meter) - Socket Length is the depth or length of a borehole or excavation in which a foundation element, such as a pile or a drilled shaft, is embedded or seated.
Allowable Design Load on Rock Socket - (Measured in Pascal) - Allowable Design Load on Rock Socket is the max load that a rock socketed foundation element, can safely support without exceeding the rock’s bearing capacity or causing unacceptable settlement.
Socket Diameter - (Measured in Meter) - Socket Diameter is the diameter of the cavity or hole created in the ground or rock into which a pile or foundation element is inserted or placed.
Allowable Bearing Pressure on Rock - (Measured in Pascal) - Allowable Bearing Pressure on Rock is the maximum pressure that can be applied to the surface of a rock mass without causing unacceptable settlement or failure of the rock.
Allowable Concrete-Rock Bond Stress - (Measured in Pascal) - Allowable Concrete-Rock Bond Stress is the maximum shear stress that can be safely transferred from concrete to rock at their interface without causing a failure.

STEP 1: Convert Input(s) to Base Unit

Allowable Design Load on Rock Socket: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Socket Diameter: 0.5 Meter --> 0.5 Meter No Conversion Required
Allowable Bearing Pressure on Rock: 18.92 Megapascal --> 18920000 Pascal (Check conversion here)
Allowable Concrete-Rock Bond Stress: 2 Megapascal --> 2000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s = (Q_d-((pi*(d_s^2)*q_a)/4))/(pi*d_s*f_g) --> (10000000-((pi*(0.5^2)*18920000)/4))/(pi*0.5*2000000)

Evaluating ... ...

L_s = 2.00059886183791

STEP 3: Convert Result to Output's Unit

2.00059886183791 Meter --> No Conversion Required

FINAL ANSWER

2.00059886183791 ≈ 2.000599 Meter <-- Socket Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Pile Foundations » Group of Piles » Socket Length given Allowable Design Load on Rock Socket

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< 6 Group of Piles Calculators

Efficiency Factor for Group of Piles

Go Efficiency Factor = ((2*Average Peripheral Friction Stress of Block*(Thickness of Dam*Length of Soil Section+Width of Soil Section*Length of Soil Section))+(Thickness of Dam*Width of Group))/(Number of Piles*Single Pile Capacity)

Allowable Concrete-Rock Bond Stress given Allowable Design Load

Go Allowable Concrete-Rock Bond Stress = (Allowable Design Load on Rock Socket-((pi*(Socket Diameter^2)*Allowable Bearing Pressure on Rock)/4))/(pi*Socket Diameter*Socket Length)

Allowable Bearing Pressure on Rock given Allowable Design Load

Go Allowable Bearing Pressure on Rock = (Allowable Design Load on Rock Socket-(pi*Socket Diameter*Socket Length*Allowable Concrete-Rock Bond Stress))/((pi*(Socket Diameter^2))/4)

Socket Length given Allowable Design Load on Rock Socket

Go Socket Length = (Allowable Design Load on Rock Socket-((pi*(Socket Diameter^2)*Allowable Bearing Pressure on Rock)/4))/(pi*Socket Diameter*Allowable Concrete-Rock Bond Stress)

Allowable Design Load on Rock Socket

Go Allowable Design Load on Rock Socket = (pi*Socket Diameter*Socket Length*Allowable Concrete-Rock Bond Stress)+((pi*(Socket Diameter^2)*Allowable Bearing Pressure on Rock)/4)

Group Drag Load in Pile Group Analysis

Go Group Drag Load = Area of Fill*Unit Weight of Fill*Thickness of Fill+Circumference of Group in Foundation*Thickness of Consolidating Soil Layers*Undrained Shear Strength of Soil

Socket Length given Allowable Design Load on Rock Socket Formula

What is Socket Length?

socket length is the depth up-to which the RCC end bearing piles must be penetrated within the Hard Rock.

How to Calculate Socket Length given Allowable Design Load on Rock Socket?

Socket Length given Allowable Design Load on Rock Socket calculator uses Socket Length = (Allowable Design Load on Rock Socket-((pi*(Socket Diameter^2)*Allowable Bearing Pressure on Rock)/4))/(pi*Socket Diameter*Allowable Concrete-Rock Bond Stress) to calculate the Socket Length, The Socket Length given Allowable Design Load on Rock Socket formula is defined as the length of the pile or socket embedded into the rock that is necessary to safely support the allowable design load. The socket length is crucial for ensuring the stability and integrity of the pile foundation. Socket Length is denoted by L_s symbol.

How to calculate Socket Length given Allowable Design Load on Rock Socket using this online calculator? To use this online calculator for Socket Length given Allowable Design Load on Rock Socket, enter Allowable Design Load on Rock Socket (Q_d), Socket Diameter (d_s), Allowable Bearing Pressure on Rock (q_a) & Allowable Concrete-Rock Bond Stress (f_g) and hit the calculate button. Here is how the Socket Length given Allowable Design Load on Rock Socket calculation can be explained with given input values -> 2.552474 = (10000000-((pi*(0.5^2)*18920000)/4))/(pi*0.5*2000000).

FAQ

What is Socket Length given Allowable Design Load on Rock Socket?

The Socket Length given Allowable Design Load on Rock Socket formula is defined as the length of the pile or socket embedded into the rock that is necessary to safely support the allowable design load. The socket length is crucial for ensuring the stability and integrity of the pile foundation and is represented as L_s = (Q_d-((pi*(d_s^2)*q_a)/4))/(pi*d_s*f_g) or Socket Length = (Allowable Design Load on Rock Socket-((pi*(Socket Diameter^2)*Allowable Bearing Pressure on Rock)/4))/(pi*Socket Diameter*Allowable Concrete-Rock Bond Stress). Allowable Design Load on Rock Socket is the max load that a rock socketed foundation element, can safely support without exceeding the rock’s bearing capacity or causing unacceptable settlement, Socket Diameter is the diameter of the cavity or hole created in the ground or rock into which a pile or foundation element is inserted or placed, Allowable Bearing Pressure on Rock is the maximum pressure that can be applied to the surface of a rock mass without causing unacceptable settlement or failure of the rock & Allowable Concrete-Rock Bond Stress is the maximum shear stress that can be safely transferred from concrete to rock at their interface without causing a failure.

How to calculate Socket Length given Allowable Design Load on Rock Socket?

The Socket Length given Allowable Design Load on Rock Socket formula is defined as the length of the pile or socket embedded into the rock that is necessary to safely support the allowable design load. The socket length is crucial for ensuring the stability and integrity of the pile foundation is calculated using Socket Length = (Allowable Design Load on Rock Socket-((pi*(Socket Diameter^2)*Allowable Bearing Pressure on Rock)/4))/(pi*Socket Diameter*Allowable Concrete-Rock Bond Stress). To calculate Socket Length given Allowable Design Load on Rock Socket, you need Allowable Design Load on Rock Socket (Q_d), Socket Diameter (d_s), Allowable Bearing Pressure on Rock (q_a) & Allowable Concrete-Rock Bond Stress (f_g). With our tool, you need to enter the respective value for Allowable Design Load on Rock Socket, Socket Diameter, Allowable Bearing Pressure on Rock & Allowable Concrete-Rock Bond Stress 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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