Normal Stress Component given Submerged Unit Weight Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2
σNormal = γ'*z*(cos((i)))^2
This formula uses 1 Functions, 4 Variables
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 - (Measured in Pascal) - Normal stress is defined as the stress produced by the perpendicular action of a force on a given area.
Submerged Unit Weight - (Measured in Newton per Cubic Meter) - Submerged Unit Weight is the unit weight of weight of soil as observed underwater 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
Submerged Unit Weight: 5.01 Newton per Cubic Meter --> 5.01 Newton per Cubic Meter No Conversion Required
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
σNormal = γ'*z*(cos((i)))^2 --> 5.01*3*(cos((1.11701072127616)))^2
Evaluating ... ...
σNormal = 2.88830401293018
STEP 3: Convert Result to Output's Unit
2.88830401293018 Pascal --> No Conversion Required
FINAL ANSWER
2.88830401293018 2.888304 Pascal <-- Normal Stress
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2100+ more calculators!
Verifier Image
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

Stability Analysis of Submerged Slopes Calculators

Shear Stress Component given Submerged Unit Weight
​ LaTeX ​ Go Shear Stress for Submerged Slopes = (Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))
Submerged Unit Weight given Normal Stress Component
​ LaTeX ​ Go Submerged Unit Weight = Normal Stress/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2)
Depth of Prism given Submerged Unit Weight
​ LaTeX ​ Go Depth of Prism = Normal Stress/(Submerged Unit Weight*(cos((Angle of Inclination to Horizontal in Soil)))^2)
Normal Stress Component given Submerged Unit Weight
​ LaTeX ​ Go Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2

Normal Stress Component given Submerged Unit Weight Formula

​LaTeX ​Go
Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2
σNormal = γ'*z*(cos((i)))^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. A normal stress will occur when a member is placed in tension or compression.

How to Calculate Normal Stress Component given Submerged Unit Weight?

Normal Stress Component given Submerged Unit Weight calculator uses Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2 to calculate the Normal Stress, The Normal Stress Component given Submerged Unit Weight is defined as normal stress underwater equals submerged unit weight times depth, representing force applied per unit area due to submerged material. Normal Stress is denoted by σNormal symbol.

How to calculate Normal Stress Component given Submerged Unit Weight using this online calculator? To use this online calculator for Normal Stress Component given Submerged Unit Weight, enter Submerged Unit Weight '), 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 calculation can be explained with given input values -> 2.882539 = 5.01*3*(cos((1.11701072127616)))^2.

FAQ

What is Normal Stress Component given Submerged Unit Weight?
The Normal Stress Component given Submerged Unit Weight is defined as normal stress underwater equals submerged unit weight times depth, representing force applied per unit area due to submerged material and is represented as σNormal = γ'*z*(cos((i)))^2 or Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2. Submerged Unit Weight is the unit weight of weight of soil as observed underwater 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?
The Normal Stress Component given Submerged Unit Weight is defined as normal stress underwater equals submerged unit weight times depth, representing force applied per unit area due to submerged material is calculated using Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2. To calculate Normal Stress Component given Submerged Unit Weight, you need Submerged Unit Weight '), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Submerged Unit Weight, 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!