Angle of Shearing Resistance given Bearing Capacity Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1))
φ = acot(Nc/(Nq-1))
This formula uses 2 Functions, 3 Variables
Functions Used
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., 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., acot(Number)
Variables Used
Angle of Shearing Resistance - (Measured in Radian) - 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.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
STEP 1: Convert Input(s) to Base Unit
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
φ = acot(Nc/(Nq-1)) --> acot(9/(2.01-1))
Evaluating ... ...
φ = 0.111754647876366
STEP 3: Convert Result to Output's Unit
0.111754647876366 Radian -->6.40306966428765 Degree (Check conversion here)
FINAL ANSWER
6.40306966428765 6.40307 Degree <-- Angle of Shearing Resistance
(Calculation completed in 00.004 seconds)

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23 Terzaghi's Analysis: Purely Cohesive Soil Calculators

Bearing Capacity for Purely Cohesive Soil given Depth of Footing
Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))
Bearing Capacity Factor Dependent on Surcharge for Cohesive Soil given Depth of Footing
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Depth of Footing)
Bearing Capacity Factor Dependent on Cohesion for Cohesive Soil given Depth of Footing
Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Cohesion of Soil
Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil
Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Depth of Footing*Bearing Capacity Factor dependent on Surcharge)
Cohesion of Soil for Purely Cohesive Soil given Depth of Footing
Go Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Depth of Footing given Bearing Capacity for Purely Cohesive Soil
Go Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)
Passive Earth Pressure Coefficient given Bearing Capacity Factor
Go Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2
Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient
Go Bearing Capacity Factor dependent on Unit Weight = (tan((Angle of Shearing Resistance))/2)*((Coefficient of Passive Pressure/(cos(Angle of Shearing Resistance))^2)-1)
Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil
Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal)*Bearing Capacity Factor dependent on Surcharge))/Cohesion of Soil
Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil
Go Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Bearing Capacity for Purely Cohesive Soil
Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))
Bearing Capacity Factor Dependent on Surcharge for Purely Cohesive Soil
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Effective Surcharge in KiloPascal
Effective Surcharge given Bearing Capacity for Purely Cohesive Soil
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Bearing Capacity Factor dependent on Surcharge
Bearing Capacity Factor Dependent on Surcharge given Angle of Shearing Resistance
Go Bearing Capacity Factor dependent on Surcharge = (Bearing Capacity Factor dependent on Cohesion/cot((Angle of Shearing Resistance*pi)/180))+1
Bearing Capacity Factor Dependent on cohesion given Angle of Shearing Resistance
Go Bearing Capacity Factor dependent on Cohesion = (Bearing Capacity Factor dependent on Surcharge-1)*cot((Angle of Shearing Resistance))
Angle of Shearing Resistance given Bearing Capacity Factor
Go Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1))
Unit Weight of Soil given Value of Bearing Capacity Factor
Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Depth of Footing)
Depth of Footing given Value of Bearing Capacity Factor
Go Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil)
Cohesion of Soil for Purely Cohesive Soil given Unit Weight of Soil
Go Cohesion of Soil = (Ultimate Bearing Capacity-(Unit Weight of Soil*Depth of Footing))/5.7
Bearing Capacity for Purely Cohesive Soil given Value of Bearing Capacity Factor
Go Ultimate Bearing Capacity = ((Cohesion of Soil*5.7)+(Effective Surcharge in KiloPascal))
Cohesion of Soil given Value of Bearing Capacity Factor
Go Cohesion of Soil = (Ultimate Bearing Capacity-(Effective Surcharge in KiloPascal))/5.7
Bearing Capacity for Purely Cohesive Soil given Unit Weight of Soil
Go Ultimate Bearing Capacity = (5.7*Cohesion of Soil)+Effective Surcharge in KiloPascal
Effective Surcharge given Value of Bearing Capacity Factor
Go Effective Surcharge in KiloPascal = Ultimate Bearing Capacity-(5.7*Cohesion of Soil)

Angle of Shearing Resistance given Bearing Capacity Factor Formula

Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1))
φ = acot(Nc/(Nq-1))

What is Angle of Shearing Resistance?

The 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. The shear strength is described by Mohr–Coulomb failure criterion adopted as widely accepted approach among the geotechnical engineers.

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

Angle of Shearing Resistance given Bearing Capacity Factor calculator uses Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1)) to calculate 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 calculate Angle of Shearing Resistance given Bearing Capacity Factor using this online calculator? To use this online calculator for Angle of Shearing Resistance given Bearing Capacity Factor, enter Bearing Capacity Factor dependent on Cohesion (Nc) & Bearing Capacity Factor dependent on Surcharge (Nq) and hit the calculate button. Here is how the Angle of Shearing Resistance given Bearing Capacity Factor calculation can be explained with given input values -> 363.2662 = acot(9/(2.01-1)).

FAQ

What is Angle of Shearing Resistance given Bearing Capacity Factor?
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 and is represented as φ = acot(Nc/(Nq-1)) or Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1)). Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
How to calculate Angle of Shearing Resistance given Bearing Capacity Factor?
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 is calculated using Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1)). To calculate Angle of Shearing Resistance given Bearing Capacity Factor, you need Bearing Capacity Factor dependent on Cohesion (Nc) & Bearing Capacity Factor dependent on Surcharge (Nq). With our tool, you need to enter the respective value for Bearing Capacity Factor dependent on Cohesion & Bearing Capacity Factor dependent on Surcharge 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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