Inclined Length 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 of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight of Soil [γ_saturated]			+10% -10%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+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%

✖Inclined Length of Prism is length of prism along the slope.ⓘ Inclined Length of Prism given Saturated Unit Weight [b]

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Inclined Length of Prism given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))
b = W_prism/(γ_saturated*z*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

Inclined Length of Prism - (Measured in Meter) - Inclined Length of Prism is length of prism along the slope.
Weight of Prism in Soil Mechanics - (Measured in Newton) - Weight of Prism in Soil Mechanics means the weight of soil prism.
Saturated Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
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 of Soil: 11.89 Kilonewton per Cubic Meter --> 11890 Newton per Cubic Meter (Check conversion here)
Depth of Prism: 3 Meter --> 3 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

b = W_prism/(γ_saturated*z*cos((i*pi)/180)) --> 620/(11890*3*cos((1.11701072127616*pi)/180))

Evaluating ... ...

b = 0.0173848567968291

STEP 3: Convert Result to Output's Unit

0.0173848567968291 Meter --> No Conversion Required

FINAL ANSWER

0.0173848567968291 ≈ 0.017385 Meter <-- Inclined Length of Prism

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Steady State Seepage Analysis Along The Slopes Calculators

Inclined Length of Prism given Saturated Unit Weight

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

Weight of Soil Prism given Saturated Unit Weight

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

Vertical Stress on Prism given Saturated Unit Weight

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

Normal Stress Component given Saturated Unit Weight

LaTeX Go Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Inclined Length 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 Inclined Length of Prism given Saturated Unit Weight?

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

How to calculate Inclined Length of Prism given Saturated Unit Weight using this online calculator? To use this online calculator for Inclined Length of Prism given Saturated Unit Weight, enter Weight of Prism in Soil Mechanics (W_prism), Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Inclined Length of Prism given Saturated Unit Weight calculation can be explained with given input values -> 0.017385 = 620/(11890*3*cos((1.11701072127616*pi)/180)).

FAQ

What is Inclined Length of Prism given Saturated Unit Weight?

The Inclined Length of Prism given Saturated Unit Weight is defined as the value of inclined length when we have prior information of other parameters used and is represented as b = W_prism/(γ_saturated*z*cos((i*pi)/180)) or Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth 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 of Soil is the ratio of mass of saturated soil sample to total volume, Depth of Prism is the length of prism along z direction & 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 Inclined Length of Prism given Saturated Unit Weight?

The Inclined Length of Prism given Saturated Unit Weight is defined as the value of inclined length when we have prior information of other parameters used is calculated using Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). To calculate Inclined Length of Prism given Saturated Unit Weight, you need Weight of Prism in Soil Mechanics (W_prism), Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z) & 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 of Soil, Depth 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.

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