Allowable Bearing Pressure on Rock given Allowable Design Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
qa = (Qd-(pi*ds*Ls*fg))/((pi*(ds^2))/4)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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 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.
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
Socket Length: 2 Meter --> 2 Meter No Conversion Required
Allowable Concrete-Rock Bond Stress: 2 Megapascal --> 2000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qa = (Qd-(pi*ds*Ls*fg))/((pi*(ds^2))/4) --> (10000000-(pi*0.5*2*2000000))/((pi*(0.5^2))/4)
Evaluating ... ...
qa = 18929581.7894065
STEP 3: Convert Result to Output's Unit
18929581.7894065 Pascal -->18.9295817894065 Megapascal (Check conversion ​here)
FINAL ANSWER
18.9295817894065 18.92958 Megapascal <-- Allowable Bearing Pressure on Rock
(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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Cummins College of Engineering for Women (CCEW), Pune
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Efficiency Factor for Group of Piles
​ LaTeX ​ 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)
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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​ LaTeX ​ 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 Bearing Pressure on Rock given Allowable Design Load Formula

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

What is Allowable Bearing Pressure?

The allowable bearing pressure is the LOWER OF. the maximum load that the footing can support without failure with appropriate factors of safety; AND. the maximum load that the footing can support without intolerable settlements

How to Calculate Allowable Bearing Pressure on Rock given Allowable Design Load?

Allowable Bearing Pressure on Rock given Allowable Design Load calculator uses 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) to calculate the Allowable Bearing Pressure on Rock, The Allowable Bearing Pressure on Rock given Allowable Design Load formula is defined as the maximum pressure that can be safely exerted by a structure's foundation on the underlying rock, calculated based on the allowable design load of the structure. It ensures that the pressure does not exceed the rock's capacity to bear the load without experiencing failure or excessive settlement. Allowable Bearing Pressure on Rock is denoted by qa symbol.

How to calculate Allowable Bearing Pressure on Rock given Allowable Design Load using this online calculator? To use this online calculator for Allowable Bearing Pressure on Rock given Allowable Design Load, enter Allowable Design Load on Rock Socket (Qd), Socket Diameter (ds), Socket Length (Ls) & Allowable Concrete-Rock Bond Stress (fg) and hit the calculate button. Here is how the Allowable Bearing Pressure on Rock given Allowable Design Load calculation can be explained with given input values -> 1.9E-5 = (10000000-(pi*0.5*2*2000000))/((pi*(0.5^2))/4).

FAQ

What is Allowable Bearing Pressure on Rock given Allowable Design Load?
The Allowable Bearing Pressure on Rock given Allowable Design Load formula is defined as the maximum pressure that can be safely exerted by a structure's foundation on the underlying rock, calculated based on the allowable design load of the structure. It ensures that the pressure does not exceed the rock's capacity to bear the load without experiencing failure or excessive settlement and is represented as qa = (Qd-(pi*ds*Ls*fg))/((pi*(ds^2))/4) or 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). 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, 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.
How to calculate Allowable Bearing Pressure on Rock given Allowable Design Load?
The Allowable Bearing Pressure on Rock given Allowable Design Load formula is defined as the maximum pressure that can be safely exerted by a structure's foundation on the underlying rock, calculated based on the allowable design load of the structure. It ensures that the pressure does not exceed the rock's capacity to bear the load without experiencing failure or excessive settlement is calculated using 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). To calculate Allowable Bearing Pressure on Rock given Allowable Design Load, you need Allowable Design Load on Rock Socket (Qd), Socket Diameter (ds), Socket Length (Ls) & 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, Socket Length & 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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