Weight of Soil Prism given Saturated Unit Weight Calculator

✖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%
✖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%

✖Weight of Prism in Soil Mechanics means the weight of soil prism.ⓘ Weight of Soil Prism given Saturated Unit Weight [W_prism]

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Weight of Soil Prism given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
W_prism = (γ_saturated*z*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

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.
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

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
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

W_prism = (γ_saturated*z*b*cos((i*pi)/180)) --> (11890*3*0.019*cos((1.11701072127616*pi)/180))

Evaluating ... ...

W_prism = 677.601209930507

STEP 3: Convert Result to Output's Unit

677.601209930507 Newton -->0.677601209930507 Kilonewton (Check conversion here)

FINAL ANSWER

0.677601209930507 ≈ 0.677601 Kilonewton <-- Weight of Prism in Soil Mechanics

(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)

Weight of Soil Prism given Saturated Unit Weight Formula

LaTeX Go

What is Weight?

The weight of an object is the force acting on the object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on the object.

How to Calculate Weight of Soil Prism given Saturated Unit Weight?

Weight of Soil Prism given Saturated Unit Weight calculator uses 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)) to calculate the Weight of Prism in Soil Mechanics, The Weight of Soil Prism given Saturated Unit Weight is defined as the value of weight of soil prism when we have prior information of other parameters used. Weight of Prism in Soil Mechanics is denoted by W_prism symbol.

How to calculate Weight of Soil Prism given Saturated Unit Weight using this online calculator? To use this online calculator for Weight of Soil Prism given Saturated Unit Weight, enter Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z), Inclined Length of Prism (b) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Weight of Soil Prism given Saturated Unit Weight calculation can be explained with given input values -> 0.000678 = (11890*3*0.019*cos((1.11701072127616*pi)/180)).

FAQ

What is Weight of Soil Prism given Saturated Unit Weight?

The Weight of Soil Prism given Saturated Unit Weight is defined as the value of weight of soil prism when we have prior information of other parameters used and is represented as W_prism = (γ_saturated*z*b*cos((i*pi)/180)) or 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)). 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, 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 Weight of Soil Prism given Saturated Unit Weight?

The Weight of Soil Prism given Saturated Unit Weight is defined as the value of weight of soil prism when we have prior information of other parameters used is calculated using 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)). To calculate Weight of Soil Prism given Saturated Unit Weight, you need Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z), Inclined Length of Prism (b) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Saturated Unit Weight of Soil, Depth of Prism, 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.

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