Normal Stress Component given Submerged Unit Weight and Depth of Prism Calculator

✖Upward Force in Seepage Analysis is due to seepage water.ⓘ Upward Force in Seepage Analysis [F_u]			+10% -10%
✖Submerged Unit Weight in KN per Cubic Meter is the unit weight of a weight of soil as observed under water in a saturated condition of course.ⓘ Submerged Unit Weight in KN per Cubic Meter [y_S]			+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 Submerged Unit Weight and Depth of Prism [σ_n]

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Normal Stress Component given Submerged Unit Weight and Depth of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ_n = F_u+(y_S*z*(cos((i*pi)/180))^2)
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

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.
Upward Force in Seepage Analysis - (Measured in Pascal) - Upward Force in Seepage Analysis is due to seepage water.
Submerged Unit Weight in KN per Cubic Meter - (Measured in Newton per Cubic Meter) - Submerged Unit Weight in KN per Cubic Meter is the unit weight of a weight of soil as observed under water in a saturated condition of course.
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

Upward Force in Seepage Analysis: 52.89 Kilonewton per Square Meter --> 52890 Pascal (Check conversion here)
Submerged Unit Weight in KN per Cubic Meter: 5 Kilonewton per Cubic Meter --> 5000 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 = F_u+(y_S*z*(cos((i*pi)/180))^2) --> 52890+(5000*3*(cos((1.11701072127616*pi)/180))^2)

Evaluating ... ...

σ_n = 67884.2995957502

STEP 3: Convert Result to Output's Unit

67884.2995957502 Pascal -->67.8842995957502 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

67.8842995957502 ≈ 67.8843 Kilonewton per Square Meter <-- Normal Stress in Soil Mechanics

(Calculation completed in 00.014 seconds)

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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 Submerged Unit Weight and Depth of Prism Formula

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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 Submerged Unit Weight and Depth of Prism?

Normal Stress Component given Submerged Unit Weight and Depth of Prism calculator uses 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) to calculate the Normal Stress in Soil Mechanics, The Normal Stress Component given Submerged Unit Weight and Depth of Prism is defined as the value of normal stress acting on soil 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 Submerged Unit Weight and Depth of Prism using this online calculator? To use this online calculator for Normal Stress Component given Submerged Unit Weight and Depth of Prism, enter Upward Force in Seepage Analysis (F_u), Submerged Unit Weight in KN per Cubic Meter (y_S), 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 Submerged Unit Weight and Depth of Prism calculation can be explained with given input values -> 0.067884 = 52890+(5000*3*(cos((1.11701072127616*pi)/180))^2).

FAQ

What is Normal Stress Component given Submerged Unit Weight and Depth of Prism?

The Normal Stress Component given Submerged Unit Weight and Depth of Prism is defined as the value of normal stress acting on soil when we have prior information of other parameters used and is represented as σ_n = F_u+(y_S*z*(cos((i*pi)/180))^2) or 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). Upward Force in Seepage Analysis is due to seepage water, Submerged Unit Weight in KN per Cubic Meter is the unit weight of a weight of soil as observed under water in a saturated condition of course, 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 Submerged Unit Weight and Depth of Prism?

The Normal Stress Component given Submerged Unit Weight and Depth of Prism is defined as the value of normal stress acting on soil when we have prior information of other parameters used is calculated using 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). To calculate Normal Stress Component given Submerged Unit Weight and Depth of Prism, you need Upward Force in Seepage Analysis (F_u), Submerged Unit Weight in KN per Cubic Meter (y_S), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Upward Force in Seepage Analysis, Submerged Unit Weight in KN per Cubic Meter, 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 Upward Force in Seepage Analysis, Submerged Unit Weight in KN per Cubic Meter, 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 = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
Normal Stress in Soil Mechanics = Effective Normal Stress in Soil Mechanics+Upward Force in Seepage Analysis

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