Vertical Stress on 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%
✖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%

✖Vertical Stress at a Point in Kilopascal is the stress acting perpendicular to the surface in kilopascal.ⓘ Vertical Stress on Prism given Saturated Unit Weight [σ_zkp]

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Vertical Stress on Prism given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
σ_zkp = (γ_saturated*z*cos((i*pi)/180))
This formula uses 1 Constants, 1 Functions, 4 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

Vertical Stress at a Point in Kilopascal - (Measured in Pascal) - Vertical Stress at a Point in Kilopascal is the stress acting perpendicular to the surface in kilopascal.
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

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

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

Evaluating ... ...

σ_zkp = 35663.2215752898

STEP 3: Convert Result to Output's Unit

35663.2215752898 Pascal -->35.6632215752898 Kilopascal (Check conversion here)

FINAL ANSWER

35.6632215752898 ≈ 35.66322 Kilopascal <-- Vertical Stress at a Point in Kilopascal

(Calculation completed in 00.006 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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)

Vertical Stress on Prism given Saturated Unit Weight Formula

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))
σ_zkp = (γ_saturated*z*cos((i*pi)/180))

What is Vertical Stress?

In other words the vertical stress (σv) and horizontal stress (σH) are principal stresses. The vertical stress on element A can be determined simply from the mass of the. overlying material.

How to Calculate Vertical Stress on Prism given Saturated Unit Weight?

Vertical Stress on Prism given Saturated Unit Weight calculator uses 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)) to calculate the Vertical Stress at a Point in Kilopascal, The Vertical Stress on Prism given Saturated Unit Weight is defined as the value of vertical stress on prism when we have prior information of other parameters used. Vertical Stress at a Point in Kilopascal is denoted by σ_zkp symbol.

How to calculate Vertical Stress on Prism given Saturated Unit Weight using this online calculator? To use this online calculator for Vertical Stress on Prism given Saturated Unit Weight, enter 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 Vertical Stress on Prism given Saturated Unit Weight calculation can be explained with given input values -> 0.035663 = (11890*3*cos((1.11701072127616*pi)/180)).

FAQ

What is Vertical Stress on Prism given Saturated Unit Weight?

The Vertical Stress on Prism given Saturated Unit Weight is defined as the value of vertical stress on prism when we have prior information of other parameters used and is represented as σ_zkp = (γ_saturated*z*cos((i*pi)/180)) or 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)). 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 Vertical Stress on Prism given Saturated Unit Weight?

The Vertical Stress on Prism given Saturated Unit Weight is defined as the value of vertical stress on prism when we have prior information of other parameters used is calculated using 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)). To calculate Vertical Stress on Prism given Saturated Unit Weight, you need 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 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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