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Allowable Bearing Pressure on Rock given Allowable Design Load Formula

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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. Check FAQs

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

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

Allowable Bearing Pressure on Rock given Allowable Design Load Example

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

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

Here is how the Allowable Bearing Pressure on Rock given Allowable Design Load equation looks like.

18.9296 = \frac{10 - (3.1416 \cdot 0.5 \cdot 2 \cdot 2)}{\frac{3.1416 \cdot ({0.5}^{2})}{4}}

18.9296MPa = \frac{10MPa - (3.1416 \cdot 0.5m \cdot 2m \cdot 2MPa)}{\frac{3.1416 \cdot ({0.5m}^{2})}{4}}

18.9296 = \frac{10 - (3.1416 \cdot 0.5 \cdot 2 \cdot 2)}{\frac{3.1416 \cdot ({0.5}^{2})}{4}}

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Allowable Bearing Pressure on Rock given Allowable Design Load Solution

Follow our step by step solution on how to calculate Allowable Bearing Pressure on Rock given Allowable Design Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q a = \frac{10MPa - (π \cdot 0.5m \cdot 2m \cdot 2MPa)}{\frac{π \cdot ({0.5m}^{2})}{4}}

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

q a = \frac{1E+7 - (3.1416 \cdot 0.5 \cdot 2 \cdot 2E+6)}{\frac{3.1416 \cdot ({0.5}^{2})}{4}}

Next Step Evaluate

∴

q a = 18929581.7894065Pa

Next Step Convert to Output's Unit

∴

q a = 18.9295817894065MPa

LAST Step Rounding Answer

∴

q a = 18.9296MPa

Allowable Bearing Pressure on Rock given Allowable Design Load Formula Elements

Variables

Constants

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 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

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 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}

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

Allowable Bearing Pressure on Rock given Allowable Design Load evaluator 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 evaluate 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 q_a symbol.

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

FAQs on Allowable Bearing Pressure on Rock given Allowable Design Load

What is the formula to find Allowable Bearing Pressure on Rock given Allowable Design Load?

The formula of Allowable Bearing Pressure on Rock given Allowable Design Load is expressed as 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). Here is an example- 1.9E-5 = (10000000-(pi*0.5*2*2000000))/((pi*(0.5^2))/4).

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

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

Can the Allowable Bearing Pressure on Rock given Allowable Design Load be negative?

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

Which unit is used to measure Allowable Bearing Pressure on Rock given Allowable Design Load?

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

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Allowable Bearing Pressure on Rock given Allowable Design Load Formula

Allowable Bearing Pressure on Rock given Allowable Design Load Example

Allowable Bearing Pressure on Rock given Allowable Design Load Solution

Allowable Bearing Pressure on Rock given Allowable Design Load Formula Elements

Other formulas in Group of Piles category

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

FAQs on Allowable Bearing Pressure on Rock given Allowable Design Load

Variable Name