Depth of Prism given Saturated Unit Weight Calculator

✖Weight of Prism in Soil Mechanics means the weight of soil prism.ⓘ Weight of Prism in Soil Mechanics [W_prism]			+10% -10%
✖Saturated Unit Weight in Newton per Cubic Meter is the value of the unit weight of the saturated soil in Newton per Cubic Meter.ⓘ Saturated Unit Weight in Newton per Cubic Meter [γ_sat]			+10% -10%
✖Inclined Length of Prism is length of prism along the slope.ⓘ Inclined Length of Prism [b]			+10% -10%
✖Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination to Horizontal in Soil [i]			+10% -10%

✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism given Saturated Unit Weight [z]

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Depth of Prism given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight in Newton per Cubic Meter*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))
z = W_prism/(γ_sat*b*cos((i*pi)/180))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)

Variables Used

Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
Weight of Prism in Soil Mechanics - (Measured in Newton) - Weight of Prism in Soil Mechanics means the weight of soil prism.
Saturated Unit Weight in Newton per Cubic Meter - (Measured in Newton per Cubic Meter) - Saturated Unit Weight in Newton per Cubic Meter is the value of the unit weight of the saturated soil in Newton per Cubic Meter.
Inclined Length of Prism - (Measured in Meter) - Inclined Length of Prism is length of prism along the slope.
Angle of Inclination to Horizontal in Soil - (Measured in Radian) - Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Weight of Prism in Soil Mechanics: 0.62 Kilonewton --> 620 Newton (Check conversion here)
Saturated Unit Weight in Newton per Cubic Meter: 32.24 Newton per Cubic Meter --> 32.24 Newton per Cubic Meter No Conversion Required
Inclined Length of Prism: 0.019 Meter --> 0.019 Meter No Conversion Required
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = W_prism/(γ_sat*b*cos((i*pi)/180)) --> 620/(32.24*0.019*cos((1.11701072127616*pi)/180))

Evaluating ... ...

z = 1012.33812515165

STEP 3: Convert Result to Output's Unit

1012.33812515165 Meter --> No Conversion Required

FINAL ANSWER

1012.33812515165 ≈ 1012.338 Meter <-- Depth of Prism

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Factor of Steady Seepage Along the Slope Calculators

Depth of Prism given Saturated Unit Weight

LaTeX Go Depth of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight in Newton per Cubic Meter*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Saturated Unit Weight given Weight of Soil Prism

LaTeX Go Saturated Unit Weight of Soil = Weight of Prism in Soil Mechanics/(Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Saturated Unit Weight given Vertical Stress on Prism

LaTeX Go Saturated Unit Weight of Soil = Vertical Stress at a Point in Kilopascal/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Angle of Inclination given Saturated Unit Weight

LaTeX Go Angle of Inclination to Horizontal in Soil = acos(Weight of Prism in Soil Mechanics/(Unit Weight of Soil*Depth of Prism*Inclined Length of Prism))

Depth of Prism given Saturated Unit Weight Formula

LaTeX Go

What is Submerged Unit Weight?

The weight of the solids in air minus the weight of water displaced by the solids per unit of volume of soil mass; the saturated unit weight minus the unit weight of water.

How to Calculate Depth of Prism given Saturated Unit Weight?

Depth of Prism given Saturated Unit Weight calculator uses Depth of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight in Newton per Cubic Meter*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)) to calculate the Depth of Prism, The Depth of Prism given Saturated Unit Weight is defined as the value of depth of prism when we have prior information of other parameters used. Depth of Prism is denoted by z symbol.

How to calculate Depth of Prism given Saturated Unit Weight using this online calculator? To use this online calculator for Depth of Prism given Saturated Unit Weight, enter Weight of Prism in Soil Mechanics (W_prism), Saturated Unit Weight in Newton per Cubic Meter (γ_sat), Inclined Length of Prism (b) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Depth of Prism given Saturated Unit Weight calculation can be explained with given input values -> 2.262873 = 620/(32.24*0.019*cos((1.11701072127616*pi)/180)).

FAQ

What is Depth of Prism given Saturated Unit Weight?

The Depth of Prism given Saturated Unit Weight is defined as the value of depth of prism when we have prior information of other parameters used and is represented as z = W_prism/(γ_sat*b*cos((i*pi)/180)) or Depth of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight in Newton per Cubic Meter*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). Weight of Prism in Soil Mechanics means the weight of soil prism, Saturated Unit Weight in Newton per Cubic Meter is the value of the unit weight of the saturated soil in Newton per Cubic Meter, Inclined Length of Prism is length of prism along the slope & Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Depth of Prism given Saturated Unit Weight?

The Depth of Prism given Saturated Unit Weight is defined as the value of depth of prism when we have prior information of other parameters used is calculated using Depth of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight in Newton per Cubic Meter*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). To calculate Depth of Prism given Saturated Unit Weight, you need Weight of Prism in Soil Mechanics (W_prism), Saturated Unit Weight in Newton per Cubic Meter (γ_sat), Inclined Length of Prism (b) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Weight of Prism in Soil Mechanics, Saturated Unit Weight in Newton per Cubic Meter, Inclined Length of Prism & Angle of Inclination to Horizontal in Soil 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 Depth of Prism?

In this formula, Depth of Prism uses Weight of Prism in Soil Mechanics, Saturated Unit Weight in Newton per Cubic Meter, Inclined Length of Prism & Angle of Inclination to Horizontal in Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -

Depth of Prism = Vertical Stress at a Point in Kilopascal/(Saturated Unit Weight of Soil*cos((Angle of Inclination to Horizontal in Soil*pi)/180))
Depth of Prism = Normal Stress in Soil Mechanics/(Saturated Unit Weight of Soil*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
Depth of Prism = Shear Stress in Soil Mechanics/(Saturated Unit Weight of Soil*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))

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