Normal Stress Component 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%

✖Normal Stress in Soil Mechanics is stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress Component given Saturated Unit Weight [σ_n]

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Normal Stress Component given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Normal Stress in Soil Mechanics - (Measured in Pascal) - Normal Stress in Soil Mechanics is stress that occurs when a member is loaded by an axial force.
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_n = (γ_saturated*z*(cos((i*pi)/180))^2) --> (11890*3*(cos((1.11701072127616*pi)/180))^2)

Evaluating ... ...

σ_n = 35656.4444386941

STEP 3: Convert Result to Output's Unit

35656.4444386941 Pascal -->35.6564444386941 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

35.6564444386941 ≈ 35.65644 Kilonewton per Square Meter <-- Normal Stress in Soil Mechanics

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

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)

Normal Stress Component given Saturated Unit Weight Formula

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)
σ_n = (γ_saturated*z*(cos((i*pi)/180))^2)

What is Normal Stress?

A normal stress is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area.

How to Calculate Normal Stress Component given Saturated Unit Weight?

Normal Stress Component given Saturated Unit Weight calculator uses Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2) to calculate the Normal Stress in Soil Mechanics, The Normal Stress Component given Saturated Unit Weight is defined as the value of normal stress when we have prior information of other parameters used. Normal Stress in Soil Mechanics is denoted by σ_n symbol.

How to calculate Normal Stress Component given Saturated Unit Weight using this online calculator? To use this online calculator for Normal Stress Component 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 Normal Stress Component given Saturated Unit Weight calculation can be explained with given input values -> 0.035656 = (11890*3*(cos((1.11701072127616*pi)/180))^2).

FAQ

What is Normal Stress Component given Saturated Unit Weight?

The Normal Stress Component given Saturated Unit Weight is defined as the value of normal stress when we have prior information of other parameters used and is represented as σ_n = (γ_saturated*z*(cos((i*pi)/180))^2) or Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). 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 Normal Stress Component given Saturated Unit Weight?

The Normal Stress Component given Saturated Unit Weight is defined as the value of normal stress when we have prior information of other parameters used is calculated using Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). To calculate Normal Stress Component 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.

How many ways are there to calculate Normal Stress in Soil Mechanics?

In this formula, Normal Stress in Soil Mechanics uses Saturated Unit Weight of Soil, Depth of Prism & Angle of Inclination to Horizontal in Soil. We can use 2 other way(s) to calculate the same, which is/are as follows -

Normal Stress in Soil Mechanics = Effective Normal Stress in Soil Mechanics+Upward Force in Seepage Analysis
Normal Stress in Soil Mechanics = Upward Force in Seepage Analysis+(Submerged Unit Weight in KN per Cubic Meter*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

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