Vertical Stress on Surface of Prism given Normal Stress Component Calculator

✖Normal Stress in kp is defined as the stress produced by the perpendicular action of a force on a given area in kilopascal.ⓘ Normal Stress in kp [σ_n]			+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 Surface of Prism given Normal Stress Component [σ_zkp]

⎘ Copy

👎

Formula

✖

Vertical Stress on Surface of Prism given Normal Stress Component

Formula

`"σ"_{"zkp"} = "σ"_{"n"}/cos(("i"*pi)/180)`

Example

`"50.0095kPa"="50kPa"/cos(("64°"*pi)/180)`

Calculator

LaTeX

Reset

👍

Download Geotechnical Engineering Formula PDF

Vertical Stress on Surface of Prism given Normal Stress Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180)
σ_zkp = σ_n/cos((i*pi)/180)
This formula uses 1 Constants, 1 Functions, 3 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.
Normal Stress in kp - (Measured in Pascal) - Normal Stress in kp is defined as the stress produced by the perpendicular action of a force on a given area in kilopascal.
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

Normal Stress in kp: 50 Kilopascal --> 50000 Pascal (Check conversion here)
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 = σ_n/cos((i*pi)/180) --> 50000/cos((1.11701072127616*pi)/180)

Evaluating ... ...

σ_zkp = 50009.5033824915

STEP 3: Convert Result to Output's Unit

50009.5033824915 Pascal -->50.0095033824915 Kilopascal (Check conversion here)

FINAL ANSWER

50.0095033824915 ≈ 50.0095 Kilopascal <-- Vertical Stress at a Point in Kilopascal

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Normal Stress Component » Vertical Stress on Surface of Prism given Normal Stress Component

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 5 Normal Stress Component Calculators

Unit Weight of Soil given Normal Stress Component

Go Unit Weight of Soil = Normal Stress in kp/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Normal Stress Component given Unit Weight of Soil

Go Normal Stress in kp = Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2

Vertical Stress on Surface of Prism given Normal Stress Component

Go Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180)

Normal Stress Component given Vertical Stress

Go Normal Stress in kp = Vertical Stress at a Point in Kilopascal*cos((Angle of Inclination to Horizontal in Soil*pi)/180)

Angle of Inclination given Normal Stress Component

Go Angle of Inclination to Horizontal in Soil = acos(Normal Stress in kp/Vertical Stress at a Point in Kilopascal)

Vertical Stress on Surface of Prism given Normal Stress Component Formula

Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180)
σ_zkp = σ_n/cos((i*pi)/180)

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 Vertical Stress on Surface of Prism given Normal Stress Component?

Vertical Stress on Surface of Prism given Normal Stress Component calculator uses Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180) to calculate the Vertical Stress at a Point in Kilopascal, The Vertical Stress on Surface of Prism given Normal Stress Component is defined as the value of vertical stress 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 Surface of Prism given Normal Stress Component using this online calculator? To use this online calculator for Vertical Stress on Surface of Prism given Normal Stress Component, enter Normal Stress in kp (σ_n) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Vertical Stress on Surface of Prism given Normal Stress Component calculation can be explained with given input values -> 0.05301 = 50000/cos((1.11701072127616*pi)/180).

FAQ

What is Vertical Stress on Surface of Prism given Normal Stress Component?

The Vertical Stress on Surface of Prism given Normal Stress Component is defined as the value of vertical stress when we have prior information of other parameters used and is represented as σ_zkp = σ_n/cos((i*pi)/180) or Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180). Normal Stress in kp is defined as the stress produced by the perpendicular action of a force on a given area in kilopascal & 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 Surface of Prism given Normal Stress Component?

The Vertical Stress on Surface of Prism given Normal Stress Component is defined as the value of vertical stress when we have prior information of other parameters used is calculated using Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180). To calculate Vertical Stress on Surface of Prism given Normal Stress Component, you need Normal Stress in kp (σ_n) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Normal Stress in kp & 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.

Home

FREE PDFs

🔍 Search