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Socket Length given Allowable Design Load on Rock Socket Formula

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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. Check FAQs

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

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

Socket Length given Allowable Design Load on Rock Socket Example

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

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

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

2.0006 = \frac{10 - (\frac{3.1416 \cdot ({0.5}^{2}) \cdot 18.92}{4})}{3.1416 \cdot 0.5 \cdot 2}

2.0006m = \frac{10MPa - (\frac{3.1416 \cdot ({0.5m}^{2}) \cdot 18.92MPa}{4})}{3.1416 \cdot 0.5m \cdot 2MPa}

2.0006 = \frac{10 - (\frac{3.1416 \cdot ({0.5}^{2}) \cdot 18.92}{4})}{3.1416 \cdot 0.5 \cdot 2}

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Socket Length given Allowable Design Load on Rock Socket Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L s = \frac{10MPa - (\frac{π \cdot ({0.5m}^{2}) \cdot 18.92MPa}{4})}{π \cdot 0.5m \cdot 2MPa}

Next Step Substitute values of Constants

∴

L s = \frac{10MPa - (\frac{3.1416 \cdot ({0.5m}^{2}) \cdot 18.92MPa}{4})}{3.1416 \cdot 0.5m \cdot 2MPa}

Next Step Convert Units

∴

L s = \frac{1E+7Pa - (\frac{3.1416 \cdot ({0.5m}^{2}) \cdot 1.9E+7Pa}{4})}{3.1416 \cdot 0.5m \cdot 2E+6Pa}

Next Step Prepare to Evaluate

∴

L s = \frac{1E+7 - (\frac{3.1416 \cdot ({0.5}^{2}) \cdot 1.9E+7}{4})}{3.1416 \cdot 0.5 \cdot 2E+6}

Next Step Evaluate

∴

L s = 2.00059886183791m

LAST Step Rounding Answer

∴

L s = 2.0006m

Socket Length given Allowable Design Load on Rock Socket Formula Elements

Variables

Constants

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 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

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

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

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 Allowable Design Load on Rock Socket

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

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 Socket Length given Allowable Design Load on Rock Socket?

Socket Length given Allowable Design Load on Rock Socket evaluator 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 evaluate 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 L_s symbol.

How to evaluate Socket Length given Allowable Design Load on Rock Socket using this online evaluator? To use this online evaluator for Socket Length given Allowable Design Load on Rock Socket, enter Allowable Design Load on Rock Socket (Q_d), Socket Diameter (d_s), Allowable Bearing Pressure on Rock (q_a) & Allowable Concrete-Rock Bond Stress (f_g) and hit the calculate button.

FAQs on Socket Length given Allowable Design Load on Rock Socket

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

The formula of Socket Length given Allowable Design Load on Rock Socket is expressed as 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). Here is an example- 2.552474 = (10000000-((pi*(0.5^2)*18920000)/4))/(pi*0.5*2000000).

How to calculate Socket Length given Allowable Design Load on Rock Socket?

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

Can the Socket Length given Allowable Design Load on Rock Socket be negative?

Yes, the Socket Length given Allowable Design Load on Rock Socket, measured in Length can be negative.

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

Socket Length given Allowable Design Load on Rock Socket is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Socket Length given Allowable Design Load on Rock Socket can be measured.

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Socket Length given Allowable Design Load on Rock Socket Formula

Socket Length given Allowable Design Load on Rock Socket Example

Socket Length given Allowable Design Load on Rock Socket Solution

Socket Length given Allowable Design Load on Rock Socket Formula Elements

Other formulas in Group of Piles category

How to Evaluate Socket Length given Allowable Design Load on Rock Socket?

FAQs on Socket Length given Allowable Design Load on Rock Socket

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