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 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
Ls = (Qd-((pi*(ds^2)*qa)/4))/(pi*ds*fg) --> (10000000-((pi*(0.5^2)*18920000)/4))/(pi*0.5*2000000)
Evaluating ... ...
Ls = 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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Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Socket Length given Allowable Design Load on Rock Socket
​ LaTeX ​ 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
​ LaTeX ​ 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)
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Socket Length given Allowable Design Load on Rock Socket Formula

​LaTeX ​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)
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 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 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 -> 2.552474 = (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 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 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 (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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