✖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%
✖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 [L_s]			+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%
✖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 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]

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Formula

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Allowable Design Load on Rock Socket

Formula

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

Example

`"9.998119MPa"=(pi*"0.5m"*"2.0m"*"2MPa")+((pi*(("0.5m")^2)*"18.92MPa")/4)`

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Allowable Design Load on Rock Socket Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_d = (pi*d_s*L_s*f_g)+((pi*(d_s^2)*q_a)/4)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

Q_d = 9998118.62004952

STEP 3: Convert Result to Output's Unit

9998118.62004952 Pascal -->9.99811862004952 Megapascal (Check conversion here)

FINAL ANSWER

9.99811862004952 ≈ 9.998119 Megapascal <-- Allowable Design Load on Rock Socket

(Calculation completed in 00.004 seconds)

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

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Indian Institute of Information Technology (IIIT), Bhopal

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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

Allowable Design Load on Rock Socket Formula

What is Deign Load?

the design load is the maximum amount of something a system is designed to handle or the maximum amount of something that the system can produce, which are very different meanings. For example, a crane with a design load of 20 tons is designed to be able to lift loads that weigh 20 tons or less.

How to Calculate Allowable Design Load on Rock Socket?

Allowable Design Load on Rock Socket calculator uses 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) to calculate the Allowable Design Load on Rock Socket, The Allowable Design Load on Rock Socket formula is defined as the maximum load that can be safely applied to a rock socket in a foundation without causing failure or excessive deformation. A rock socket is a drilled shaft or pile that is embedded into bedrock to transfer loads from a structure to the underlying rock. Allowable Design Load on Rock Socket is denoted by Q_d symbol.

How to calculate Allowable Design Load on Rock Socket using this online calculator? To use this online calculator for Allowable Design Load on Rock Socket, enter Socket Diameter (d_s), Socket Length (L_s), Allowable Concrete-Rock Bond Stress (f_g) & Allowable Bearing Pressure on Rock (q_a) and hit the calculate button. Here is how the Allowable Design Load on Rock Socket calculation can be explained with given input values -> 8.3E-6 = (pi*0.5*2*2000000)+((pi*(0.5^2)*18920000)/4).

FAQ

What is Allowable Design Load on Rock Socket?

The Allowable Design Load on Rock Socket formula is defined as the maximum load that can be safely applied to a rock socket in a foundation without causing failure or excessive deformation. A rock socket is a drilled shaft or pile that is embedded into bedrock to transfer loads from a structure to the underlying rock and is represented as Q_d = (pi*d_s*L_s*f_g)+((pi*(d_s^2)*q_a)/4) or 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). 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 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 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 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.

How to calculate Allowable Design Load on Rock Socket?

The Allowable Design Load on Rock Socket formula is defined as the maximum load that can be safely applied to a rock socket in a foundation without causing failure or excessive deformation. A rock socket is a drilled shaft or pile that is embedded into bedrock to transfer loads from a structure to the underlying rock is calculated using 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). To calculate Allowable Design Load on Rock Socket, you need Socket Diameter (d_s), Socket Length (L_s), Allowable Concrete-Rock Bond Stress (f_g) & Allowable Bearing Pressure on Rock (q_a). With our tool, you need to enter the respective value for Socket Diameter, Socket Length, Allowable Concrete-Rock Bond Stress & Allowable Bearing Pressure on Rock 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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