Allowable Concrete-Rock Bond Stress given Allowable Design Load Calculator

✖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%
✖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 given Allowable Design Load [f_g]

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Formula

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Allowable Concrete-Rock Bond Stress given Allowable Design Load

Formula

f g = \frac{Q d - (\frac{π \cdot ({d s}^{2}) \cdot q a}{4})}{π \cdot d s \cdot L s}

Example

2.000599 MPa = \frac{10.0 MPa - (\frac{π \cdot ({0.5 m}^{2}) \cdot 18.92 MPa}{4})}{π \cdot 0.5 m \cdot 2.0 m}

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Allowable Concrete-Rock Bond Stress given Allowable Design Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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 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.
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.

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)
Socket Length: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

f_g = 2000598.86183791

STEP 3: Convert Result to Output's Unit

2000598.86183791 Pascal -->2.00059886183791 Megapascal (Check conversion here)

FINAL ANSWER

2.00059886183791 ≈ 2.000599 Megapascal <-- Allowable Concrete-Rock Bond Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Pile Foundations » Group of Piles » Allowable Concrete-Rock Bond Stress given Allowable Design Load

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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< 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)

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 Concrete-Rock Bond Stress given Allowable Design Load Formula

What is Concrete-Rock Bond Stress?

Concrete-Rock Bond Stress is the measure of the stress bearable by the bond of concrete and rock. Concrete is a composite material composed of fine and coarse aggregate bonded together with a fluid cement (cement paste) that hardens (cures) over time.

How to Calculate Allowable Concrete-Rock Bond Stress given Allowable Design Load?

Allowable Concrete-Rock Bond Stress given Allowable Design Load calculator uses 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) to calculate the Allowable Concrete-Rock Bond Stress, The Allowable Concrete-Rock Bond Stress given Allowable Design Load formula is defined as the maximum stress that the bond between concrete and rock can withstand without failure under the given design load conditions. This bond stress is crucial in applications such as rock anchors, pile foundations, and other geotechnical structures where concrete and rock interface. Allowable Concrete-Rock Bond Stress is denoted by f_g symbol.

How to calculate Allowable Concrete-Rock Bond Stress given Allowable Design Load using this online calculator? To use this online calculator for Allowable Concrete-Rock Bond Stress given Allowable Design Load, enter Allowable Design Load on Rock Socket (Q_d), Socket Diameter (d_s), Allowable Bearing Pressure on Rock (q_a) & Socket Length (L_s) and hit the calculate button. Here is how the Allowable Concrete-Rock Bond Stress given Allowable Design Load calculation can be explained with given input values -> 2.6E-6 = (10000000-((pi*(0.5^2)*18920000)/4))/(pi*0.5*2).

FAQ

What is Allowable Concrete-Rock Bond Stress given Allowable Design Load?

The Allowable Concrete-Rock Bond Stress given Allowable Design Load formula is defined as the maximum stress that the bond between concrete and rock can withstand without failure under the given design load conditions. This bond stress is crucial in applications such as rock anchors, pile foundations, and other geotechnical structures where concrete and rock interface and is represented as f_g = (Q_d-((pi*(d_s^2)*q_a)/4))/(pi*d_s*L_s) or 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 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 & 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.

How to calculate Allowable Concrete-Rock Bond Stress given Allowable Design Load?

The Allowable Concrete-Rock Bond Stress given Allowable Design Load formula is defined as the maximum stress that the bond between concrete and rock can withstand without failure under the given design load conditions. This bond stress is crucial in applications such as rock anchors, pile foundations, and other geotechnical structures where concrete and rock interface is calculated using 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). To calculate Allowable Concrete-Rock Bond Stress given Allowable Design Load, you need Allowable Design Load on Rock Socket (Q_d), Socket Diameter (d_s), Allowable Bearing Pressure on Rock (q_a) & Socket Length (L_s). With our tool, you need to enter the respective value for Allowable Design Load on Rock Socket, Socket Diameter, Allowable Bearing Pressure on Rock & Socket Length 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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