Normal Stress for Principal Planes at Angle of 90 degrees Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2
σn = (σ1+σ2)/2-(σ1-σ2)/2
This formula uses 3 Variables
Variables Used
Normal Stress - (Measured in Pascal) - Normal Stress is stress that occurs when a member is loaded by an axial force.
Major Tensile Stress - (Measured in Pascal) - Major Tensile Stress is the stress acting along the longitudinal direction.
Minor Tensile Stress - (Measured in Pascal) - Minor Tensile Stress is the stress acting along lateral direction.
STEP 1: Convert Input(s) to Base Unit
Major Tensile Stress: 124 Megapascal --> 124000000 Pascal (Check conversion here)
Minor Tensile Stress: 48 Megapascal --> 48000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σn = (σ12)/2-(σ12)/2 --> (124000000+48000000)/2-(124000000-48000000)/2
Evaluating ... ...
σn = 48000000
STEP 3: Convert Result to Output's Unit
48000000 Pascal -->48 Megapascal (Check conversion here)
FINAL ANSWER
48 Megapascal <-- Normal Stress
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

6 Normal Stress Calculators

Normal Stress on Oblique Section given Stress in Perpendicular Directions
Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2*cos(2*Angle made by Oblique Section with Normal)
Normal Stress for Principal Planes at Angle of 0 Degrees given Major and Minor Tensile Stress
Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2
Normal Stress for Principal Planes when Planes are at Angle of 0 Degree
Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2
Normal Stress for Principal Planes at Angle of 90 degrees
Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2
Normal Stress across Oblique Section
Go Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2
Normal Stress using Obliquity
Go Normal Stress = Shear Stress/tan(Angle of Obliquity)

Normal Stress for Principal Planes at Angle of 90 degrees Formula

Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2
σn = (σ1+σ2)/2-(σ1-σ2)/2

What is normal stress?

Stress is said to be normal stress when the direction of the deforming force is perpendicular to the cross-sectional area of the body.

How to Calculate Normal Stress for Principal Planes at Angle of 90 degrees?

Normal Stress for Principal Planes at Angle of 90 degrees calculator uses Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2 to calculate the Normal Stress, The Normal Stress for Principal Planes at Angle of 90 degrees formula is defined as the difference between the average of major tensile stress, minor tensile stress, and half of the difference between major tensile stress, and minor tensile stress. Normal Stress is denoted by σn symbol.

How to calculate Normal Stress for Principal Planes at Angle of 90 degrees using this online calculator? To use this online calculator for Normal Stress for Principal Planes at Angle of 90 degrees, enter Major Tensile Stress 1) & Minor Tensile Stress 2) and hit the calculate button. Here is how the Normal Stress for Principal Planes at Angle of 90 degrees calculation can be explained with given input values -> 4.8E-5 = (124000000+48000000)/2-(124000000-48000000)/2.

FAQ

What is Normal Stress for Principal Planes at Angle of 90 degrees?
The Normal Stress for Principal Planes at Angle of 90 degrees formula is defined as the difference between the average of major tensile stress, minor tensile stress, and half of the difference between major tensile stress, and minor tensile stress and is represented as σn = (σ12)/2-(σ12)/2 or Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2. Major Tensile Stress is the stress acting along the longitudinal direction & Minor Tensile Stress is the stress acting along lateral direction.
How to calculate Normal Stress for Principal Planes at Angle of 90 degrees?
The Normal Stress for Principal Planes at Angle of 90 degrees formula is defined as the difference between the average of major tensile stress, minor tensile stress, and half of the difference between major tensile stress, and minor tensile stress is calculated using Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2. To calculate Normal Stress for Principal Planes at Angle of 90 degrees, you need Major Tensile Stress 1) & Minor Tensile Stress 2). With our tool, you need to enter the respective value for Major Tensile Stress & Minor Tensile Stress 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 this formula, Normal Stress uses Major Tensile Stress & Minor Tensile Stress. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2
  • Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2
  • Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2
  • Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2*cos(2*Angle made by Oblique Section with Normal)
  • Normal Stress = Shear Stress/tan(Angle of Obliquity)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!