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Angle of Shearing Resistance given Bearing Capacity Factor Formula

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Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles. Check FAQs

φ = a \cot (\frac{N c}{N q - 1})

φ - Angle of Shearing Resistance?N_c - Bearing Capacity Factor dependent on Cohesion?N_q - Bearing Capacity Factor dependent on Surcharge?

Angle of Shearing Resistance given Bearing Capacity Factor Example

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Here is how the Angle of Shearing Resistance given Bearing Capacity Factor equation looks like with Values.

Here is how the Angle of Shearing Resistance given Bearing Capacity Factor equation looks like with Units.

Here is how the Angle of Shearing Resistance given Bearing Capacity Factor equation looks like.

6.4031 = a \cot (\frac{9}{2.01 - 1})

6.4031° = a \cot (\frac{9}{2.01 - 1})

6.4031 = a \cot (\frac{9}{2.01 - 1})

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Angle of Shearing Resistance given Bearing Capacity Factor Solution

Follow our step by step solution on how to calculate Angle of Shearing Resistance given Bearing Capacity Factor?

FIRST Step Consider the formula

φ = a \cot (\frac{N c}{N q - 1})

Next Step Substitute values of Variables

∴

φ = a \cot (\frac{9}{2.01 - 1})

Next Step Prepare to Evaluate

∴

φ = a \cot (\frac{9}{2.01 - 1})

Next Step Evaluate

∴

φ = 0.111754647876366rad

Next Step Convert to Output's Unit

∴

φ = 6.40306966428765°

LAST Step Rounding Answer

∴

φ = 6.4031°

Angle of Shearing Resistance given Bearing Capacity Factor Formula Elements

Variables

Functions

Angle of Shearing Resistance

Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Shearing Resistance

Bearing Capacity Factor dependent on Cohesion

Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

Symbol: N_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Cohesion

Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

Symbol: N_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Surcharge

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

acot

The ACOT function calculates the arccotangent of a given number which is an angle given in radians from 0 (zero) to pi.

Syntax: acot(Number)

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

Go Bearing Capacity for Purely Cohesive Soil

q f = ((C s \cdot N c) + (σ s \cdot N q))

Go Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil

C s = \frac{q fc - (σ s \cdot N q)}{N c}

Go Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil

N c = \frac{q fc - ((σ s) \cdot N q)}{C s}

Go Effective Surcharge given Bearing Capacity for Purely Cohesive Soil

σ s = \frac{q f - (C s \cdot N c)}{N q}

How to Evaluate Angle of Shearing Resistance given Bearing Capacity Factor?

Angle of Shearing Resistance given Bearing Capacity Factor evaluator uses Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1)) to evaluate the Angle of Shearing Resistance, The Angle of Shearing Resistance given Bearing Capacity Factor is defined as value of angle of shearing resistance when we have prior information of other parameters used. Angle of Shearing Resistance is denoted by φ symbol.

How to evaluate Angle of Shearing Resistance given Bearing Capacity Factor using this online evaluator? To use this online evaluator for Angle of Shearing Resistance given Bearing Capacity Factor, enter Bearing Capacity Factor dependent on Cohesion (N_c) & Bearing Capacity Factor dependent on Surcharge (N_q) and hit the calculate button.

FAQs on Angle of Shearing Resistance given Bearing Capacity Factor

What is the formula to find Angle of Shearing Resistance given Bearing Capacity Factor?

The formula of Angle of Shearing Resistance given Bearing Capacity Factor is expressed as Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1)). Here is an example- 363.2662 = acot(9/(2.01-1)).

How to calculate Angle of Shearing Resistance given Bearing Capacity Factor?

With Bearing Capacity Factor dependent on Cohesion (N_c) & Bearing Capacity Factor dependent on Surcharge (N_q) we can find Angle of Shearing Resistance given Bearing Capacity Factor using the formula - Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1)). This formula also uses Cotangent (cot), Inverse cotangent (acot) function(s).

Can the Angle of Shearing Resistance given Bearing Capacity Factor be negative?

No, the Angle of Shearing Resistance given Bearing Capacity Factor, measured in Angle cannot be negative.

Which unit is used to measure Angle of Shearing Resistance given Bearing Capacity Factor?

Angle of Shearing Resistance given Bearing Capacity Factor is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Shearing Resistance given Bearing Capacity Factor can be measured.

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Angle of Shearing Resistance given Bearing Capacity Factor Formula

Angle of Shearing Resistance given Bearing Capacity Factor Example

Angle of Shearing Resistance given Bearing Capacity Factor Solution

Angle of Shearing Resistance given Bearing Capacity Factor Formula Elements

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

How to Evaluate Angle of Shearing Resistance given Bearing Capacity Factor?

FAQs on Angle of Shearing Resistance given Bearing Capacity Factor

Variable Name