- #1
foo9008
- 678
- 4
Homework Statement
is the circled part wrong ?
Homework Equations
The Attempt at a Solution
how could 0.5 sin2theta = ( 1 + cos2theta ) / 2 ?
Trigonometric equation for stress
- Thread starter foo9008
- Start date
In summary, a trigonometric equation for stress is a mathematical expression that relates stress to strain, taking into account the angle and material properties. These equations are used because they provide a more accurate understanding of stress and its effects on materials. The variables in such equations include the stress angle, magnitude, and material properties. They are derived from fundamental principles and have real-world applications in engineering and materials science, such as designing structures and predicting material failure.
is the circled part wrong ?
how could 0.5 sin2theta = ( 1 + cos2theta ) / 2 ?
- #2
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
- 12,811
- 1,671
It's a trig identity. Look up "Half-Angle" formulas:foo9008 said:Homework Statement
is the circled part wrong ?
Homework Equations
The Attempt at a Solution
how could 0.5 sin2theta = ( 1 + cos2theta ) / 2 ?
https://en.wikipedia.org/wiki/List_of_trigonometric_identities
Related to Trigonometric equation for stress
What is a trigonometric equation for stress?
A trigonometric equation for stress is a mathematical expression that relates the stress experienced by a material to the strain applied to it. It takes into account the angle at which the stress is applied, as well as the material's properties.
Why are trigonometric equations used to describe stress?
Trigonometric equations are used to describe stress because they provide a more accurate and comprehensive understanding of how stress is applied to a material. They take into account both the magnitude and direction of the applied stress, which is important in determining a material's response.
What are the variables in a trigonometric equation for stress?
The variables in a trigonometric equation for stress typically include the angle at which the stress is applied (theta), the magnitude of the applied stress (sigma), and the material's properties such as Young's modulus and Poisson's ratio.
How are trigonometric equations for stress derived?
Trigonometric equations for stress are derived from the fundamental principles of mechanics and material properties. They are often derived through experimentation and analysis of stress-strain data for different materials.
What are some real-world applications of trigonometric equations for stress?
Trigonometric equations for stress are commonly used in engineering and materials science for designing and analyzing structures, predicting material failure, and understanding the behavior of materials under different types of stress, such as tension, compression, and shear.
Similar threads
-
Engineering and Comp Sci Homework Help
-
Engineering and Comp Sci Homework Help
-
Engineering and Comp Sci Homework Help
-
Engineering and Comp Sci Homework Help
-
Engineering and Comp Sci Homework Help
-
Engineering and Comp Sci Homework Help
-
Engineering and Comp Sci Homework Help
-
Engineering and Comp Sci Homework Help
-
Engineering and Comp Sci Homework Help