Unit Weight of Soil given Critical Depth for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
γ = c/(hc*(tan((I))-tan((φ)))*(cos((I)))^2)
This formula uses 2 Functions, 5 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Unit Weight of Soil - (Measured in Kilonewton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Cohesion of Soil - (Measured in Kilopascal) - Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.
Critical Depth - (Measured in Meter) - The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
STEP 1: Convert Input(s) to Base Unit
Cohesion of Soil: 3.01 Kilopascal --> 3.01 Kilopascal No Conversion Required
Critical Depth: 1.01 Meter --> 1.01 Meter No Conversion Required
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γ = c/(hc*(tan((I))-tan((φ)))*(cos((I)))^2) --> 3.01/(1.01*(tan((1.3962634015952))-tan((0.802851455917241)))*(cos((1.3962634015952)))^2)
Evaluating ... ...
γ = 21.3198681111361
STEP 3: Convert Result to Output's Unit
21319.8681111361 Newton per Cubic Meter -->21.3198681111361 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
21.3198681111361 21.31987 Kilonewton per Cubic Meter <-- Unit Weight of Soil
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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25 Stability Analysis of Infinite Slopes Calculators

Unit Weight of Soil given Critical Depth for Cohesive Soil
Go Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Cohesion given Critical Depth for Cohesive Soil
Go Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Critical Depth for Cohesive Soil
Go Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Cohesion given Shear Strength of Cohesive Soil
Go Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction of Soil*pi)/180))
Cohesion of Soil given Factor of Safety for Cohesive Soil
Go Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction)))
Normal Stress given Factor of Safety for Cohesive Soil
Go Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))
Shear Stress given Factor of Safety for Cohesive Soil
Go Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety
Shear Strength of Soil given Angle of Internal Friction
Go Shear Strength = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))
Shear Stress of Soil given Angle of Internal Friction
Go Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))
Angle of Internal Friction given Shear Strength of Soil
Go Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination)))
Normal Stress given Shear Strength of Cohesive Soil
Go Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction))
Shear Strength of Cohesive Soil
Go Shear Strength = Cohesion of Soil+(Normal Stress in Mega Pascal*tan((Angle of Internal Friction)))
Factor of Safety against Sliding given Angle of Internal Friction
Go Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))
Unit Weight of Soil given Stability Number for Cohesive Soil
Go Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))
Critical Depth given Stability Number for Cohesive Soil
Go Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number))
Cohesion given Stability Number for Cohesive Soil
Go Cohesion of Soil = Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)
Normal Stress given Shear Stress of Cohesionless Soil
Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))
Unit Weight of Soil given Mobilised Cohesion
Go Unit Weight of Soil = (Mobilised Cohesion/(Stability Number*Depth at Mobilised Cohesion))
Depth at Mobilised Cohesion
Go Depth at Mobilised Cohesion = (Mobilised Cohesion/(Unit Weight of Soil*Stability Number))
Mobilised Cohesion given Stability Number for Cohesive Soil
Go Mobilised Cohesion = (Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion)
Normal Stress given Shear Strength of Cohesionless Soil
Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))
Shear Strength of Cohesionless Soil
Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))
Angle of Internal Friction given Shear Strength of Cohesionless Soil
Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)
Cohesion of Soil given Mobilised Cohesion
Go Cohesion of Soil = Mobilised Cohesion*Factor of Safety with respect to Cohesion
Mobilised Cohesion
Go Mobilised Cohesion = Cohesion of Soil/Factor of Safety with respect to Cohesion

Unit Weight of Soil given Critical Depth for Cohesive Soil Formula

Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
γ = c/(hc*(tan((I))-tan((φ)))*(cos((I)))^2)

What is Unit Weight of Soil?

The mass of solid particles is usually expressed in terms of their particle unit weight or specific gravity (Gs) of the soil grain solids . For most inorganic soils, the value of Gs lies between 2.60 and 2.80.

How to Calculate Unit Weight of Soil given Critical Depth for Cohesive Soil?

Unit Weight of Soil given Critical Depth for Cohesive Soil calculator uses Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Critical Depth for Cohesive Soil is defined as the value of unit weight of soil when we have prior information of other parameters used. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Critical Depth for Cohesive Soil using this online calculator? To use this online calculator for Unit Weight of Soil given Critical Depth for Cohesive Soil, enter Cohesion of Soil (c), Critical Depth (hc), Angle of Inclination (I) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Unit Weight of Soil given Critical Depth for Cohesive Soil calculation can be explained with given input values -> 0.021249 = 3010/(1.01*(tan((1.3962634015952))-tan((0.802851455917241)))*(cos((1.3962634015952)))^2).

FAQ

What is Unit Weight of Soil given Critical Depth for Cohesive Soil?
The Unit Weight of Soil given Critical Depth for Cohesive Soil is defined as the value of unit weight of soil when we have prior information of other parameters used and is represented as γ = c/(hc*(tan((I))-tan((φ)))*(cos((I)))^2) or Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil, The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge, Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object & Angle of Internal Friction is the angle measured between the normal force and resultant force .
How to calculate Unit Weight of Soil given Critical Depth for Cohesive Soil?
The Unit Weight of Soil given Critical Depth for Cohesive Soil is defined as the value of unit weight of soil when we have prior information of other parameters used is calculated using Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). To calculate Unit Weight of Soil given Critical Depth for Cohesive Soil, you need Cohesion of Soil (c), Critical Depth (hc), Angle of Inclination (I) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Cohesion of Soil, Critical Depth, Angle of Inclination & Angle of Internal Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Unit Weight of Soil?
In this formula, Unit Weight of Soil uses Cohesion of Soil, Critical Depth, Angle of Inclination & Angle of Internal Friction. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))
  • Unit Weight of Soil = (Mobilised Cohesion/(Stability Number*Depth at Mobilised Cohesion))
  • Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilised Cohesion in Stability Number*Factor of Safety with respect to Cohesion))
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