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Allowable Design Load on Rock Socket Formula

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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. Check FAQs

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

Q_d - Allowable Design Load on Rock Socket?d_s - Socket Diameter?L_s - Socket Length?f_g - Allowable Concrete-Rock Bond Stress?q_a - Allowable Bearing Pressure on Rock?π - Archimedes' constant?

Allowable Design Load on Rock Socket Example

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Here is how the Allowable Design Load on Rock Socket equation looks like with Values.

Here is how the Allowable Design Load on Rock Socket equation looks like with Units.

Here is how the Allowable Design Load on Rock Socket equation looks like.

9.9981 = (3.1416 \cdot 0.5 \cdot 2 \cdot 2) + (\frac{3.1416 \cdot ({0.5}^{2}) \cdot 18.92}{4})

9.9981MPa = (3.1416 \cdot 0.5m \cdot 2m \cdot 2MPa) + (\frac{3.1416 \cdot ({0.5m}^{2}) \cdot 18.92MPa}{4})

9.9981 = (3.1416 \cdot 0.5 \cdot 2 \cdot 2) + (\frac{3.1416 \cdot ({0.5}^{2}) \cdot 18.92}{4})

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Allowable Design Load on Rock Socket Solution

Follow our step by step solution on how to calculate Allowable Design Load on Rock Socket?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q d = (π \cdot 0.5m \cdot 2m \cdot 2MPa) + (\frac{π \cdot ({0.5m}^{2}) \cdot 18.92MPa}{4})

Next Step Substitute values of Constants

∴

Q d = (3.1416 \cdot 0.5m \cdot 2m \cdot 2MPa) + (\frac{3.1416 \cdot ({0.5m}^{2}) \cdot 18.92MPa}{4})

Next Step Convert Units

∴

Q d = (3.1416 \cdot 0.5m \cdot 2m \cdot 2E+6Pa) + (\frac{3.1416 \cdot ({0.5m}^{2}) \cdot 1.9E+7Pa}{4})

Next Step Prepare to Evaluate

∴

Q d = (3.1416 \cdot 0.5 \cdot 2 \cdot 2E+6) + (\frac{3.1416 \cdot ({0.5}^{2}) \cdot 1.9E+7}{4})

Next Step Evaluate

∴

Q d = 9998118.62004952Pa

Next Step Convert to Output's Unit

∴

Q d = 9.99811862004952MPa

LAST Step Rounding Answer

∴

Q d = 9.9981MPa

Allowable Design Load on Rock Socket Formula Elements

Variables

Constants

Allowable Design Load on Rock Socket

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.

Symbol: Q_d

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Design Load on Rock Socket

Socket Diameter

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.

Symbol: d_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Socket Diameter

Socket Length

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.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Socket Length

Allowable Concrete-Rock Bond Stress

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.

Symbol: f_g

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Concrete-Rock Bond Stress

Allowable Bearing Pressure on Rock

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.

Symbol: q_a

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Bearing Pressure on Rock

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Group of Piles category

Go Efficiency Factor for Group of Piles

E g = \frac{(2 \cdot f s \cdot (b \cdot L + w \cdot L)) + (b \cdot W g)}{n \cdot Q u}

Go Group Drag Load in Pile Group Analysis

Q gd = A F \cdot Y F \cdot H F + C g \cdot H \cdot c u

Go Socket Length given Allowable Design Load on Rock Socket

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

Go Allowable Concrete-Rock Bond Stress given Allowable Design Load

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

How to Evaluate Allowable Design Load on Rock Socket?

Allowable Design Load on Rock Socket evaluator 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 evaluate 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 evaluate Allowable Design Load on Rock Socket using this online evaluator? To use this online evaluator 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.

FAQs on Allowable Design Load on Rock Socket

What is the formula to find Allowable Design Load on Rock Socket?

The formula of Allowable Design Load on Rock Socket is expressed as 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). Here is an example- 8.3E-6 = (pi*0.5*2*2000000)+((pi*(0.5^2)*18920000)/4).

How to calculate Allowable Design Load on Rock Socket?

With Socket Diameter (d_s), Socket Length (L_s), Allowable Concrete-Rock Bond Stress (f_g) & Allowable Bearing Pressure on Rock (q_a) we can find Allowable Design Load on Rock Socket using the formula - 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). This formula also uses Archimedes' constant .

Can the Allowable Design Load on Rock Socket be negative?

No, the Allowable Design Load on Rock Socket, measured in Pressure cannot be negative.

Which unit is used to measure Allowable Design Load on Rock Socket?

Allowable Design Load on Rock Socket is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Allowable Design Load on Rock Socket can be measured.

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Allowable Design Load on Rock Socket Formula

Allowable Design Load on Rock Socket Example

Allowable Design Load on Rock Socket Solution

Allowable Design Load on Rock Socket Formula Elements

Other formulas in Group of Piles category

How to Evaluate Allowable Design Load on Rock Socket?

FAQs on Allowable Design Load on Rock Socket

Variable Name