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)
Ls = (Qd-((pi*(ds^2)*qa)/4))/(pi*ds*fg)
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 total length of the socket.
Allowable Design Load on Rock Socket - (Measured in Pascal) - Allowable Design Load on Rock Socket is the lower of the maximum load a rock socket can bear.
Socket Diameter - (Measured in Meter) - Socket Diameter is the diameter of the socket which is twice the radius of the socket.
Allowable Bearing Pressure on Rock - (Measured in Pascal) - Allowable Bearing Pressure on Rock is the lower of the maximum load that the footing can support.
Allowable Concrete-rock Bond Stress - (Measured in Pascal) - Allowable Concrete-rock Bond Stress is the allowed stress of concrete and rock bond.
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: 10.09 Megapascal --> 10090000 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
Ls = (Qd-((pi*(ds^2)*qa)/4))/(pi*ds*fg) --> (10000000-((pi*(0.5^2)*10090000)/4))/(pi*0.5*2000000)
Evaluating ... ...
Ls = 2.55247386183791
STEP 3: Convert Result to Output's Unit
2.55247386183791 Meter --> No Conversion Required
FINAL ANSWER
2.55247386183791 2.552474 Meter <-- Socket Length
(Calculation completed in 00.004 seconds)

Credits

Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Osmania University (OU), Hyderabad
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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 in Soil Mechanics*Length of Soil Section+Width of Soil Section*Length of Soil Section))+(Thickness of Dam in Soil Mechanics*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 in Soil Mechanics*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

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)
Ls = (Qd-((pi*(ds^2)*qa)/4))/(pi*ds*fg)

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 is defined as the length of the socket when we have prior information of allowable design load on the rock socket. Socket length is the depth up to which the RCC end-bearing piles must be penetrated within the Hard Rock. Socket Length is denoted by Ls 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 (Qd), Socket Diameter (ds), Allowable Bearing Pressure on Rock (qa) & Allowable Concrete-rock Bond Stress (fg) 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 -> 2.558099 = (10000000-((pi*(0.5^2)*10090000)/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 is defined as the length of the socket when we have prior information of allowable design load on the rock socket. Socket length is the depth up to which the RCC end-bearing piles must be penetrated within the Hard Rock and is represented as Ls = (Qd-((pi*(ds^2)*qa)/4))/(pi*ds*fg) 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 lower of the maximum load a rock socket can bear, Socket Diameter is the diameter of the socket which is twice the radius of the socket, Allowable Bearing Pressure on Rock is the lower of the maximum load that the footing can support & Allowable Concrete-rock Bond Stress is the allowed stress of concrete and rock bond.
How to calculate Socket Length given Allowable Design Load on Rock Socket?
The Socket Length given Allowable Design Load on Rock Socket is defined as the length of the socket when we have prior information of allowable design load on the rock socket. Socket length is the depth up to which the RCC end-bearing piles must be penetrated within the Hard Rock 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 (Qd), Socket Diameter (ds), Allowable Bearing Pressure on Rock (qa) & Allowable Concrete-rock Bond Stress (fg). 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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