Normal Stress across Oblique Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2
σn = σ*(cos(θoblique))^2
This formula uses 1 Functions, 3 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 stress that occurs when a member is loaded by an axial force.
Stress in Bar - (Measured in Pascal) - Stress in Bar applied to a bar is the force per unit area applied to the barl. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.
Angle made by Oblique Section with Normal - (Measured in Radian) - Angle made by Oblique Section with Normal cross-section, it is denoted by symbol θ.
STEP 1: Convert Input(s) to Base Unit
Stress in Bar: 0.012 Megapascal --> 12000 Pascal (Check conversion here)
Angle made by Oblique Section with Normal: 15 Degree --> 0.2617993877991 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σn = σ*(cos(θoblique))^2 --> 12000*(cos(0.2617993877991))^2
Evaluating ... ...
σn = 11196.1524227069
STEP 3: Convert Result to Output's Unit
11196.1524227069 Pascal -->0.0111961524227069 Megapascal (Check conversion here)
FINAL ANSWER
0.0111961524227069 0.011196 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
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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 across Oblique Section Formula

Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2
σn = σ*(cos(θoblique))^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 across Oblique Section?

Normal Stress across Oblique Section calculator uses Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2 to calculate the Normal Stress, The Normal Stress across Oblique Section formula is defined as the product of stress and cos²(θ), Where stress is a force acting per cross-sectional area. Normal Stress is denoted by σn symbol.

How to calculate Normal Stress across Oblique Section using this online calculator? To use this online calculator for Normal Stress across Oblique Section, enter Stress in Bar (σ) & Angle made by Oblique Section with Normal oblique) and hit the calculate button. Here is how the Normal Stress across Oblique Section calculation can be explained with given input values -> 1.1E-8 = 12000*(cos(0.2617993877991))^2.

FAQ

What is Normal Stress across Oblique Section?
The Normal Stress across Oblique Section formula is defined as the product of stress and cos²(θ), Where stress is a force acting per cross-sectional area and is represented as σn = σ*(cos(θoblique))^2 or Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2. Stress in Bar applied to a bar is the force per unit area applied to the barl. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress & Angle made by Oblique Section with Normal cross-section, it is denoted by symbol θ.
How to calculate Normal Stress across Oblique Section?
The Normal Stress across Oblique Section formula is defined as the product of stress and cos²(θ), Where stress is a force acting per cross-sectional area is calculated using Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2. To calculate Normal Stress across Oblique Section, you need Stress in Bar (σ) & Angle made by Oblique Section with Normal oblique). With our tool, you need to enter the respective value for Stress in Bar & Angle made by Oblique Section with Normal 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 Stress in Bar & Angle made by Oblique Section with Normal. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • 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
  • 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)
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