G) Derive the principal strains E_(1) and E_(2) and the angle (D) for; a. A four-element rectangular rosette (0,45,90,135) b. A tec delta rosette (0,60,120,90)

Question

Answer 1

To derive the principal strains

and

and the angle

for the given rosettes, we can use the following formulas:

where

and

are the maximum and minimum principal stresses, respectively.a. For the four-element rectangular rosette

:Given that the rosette has four elements with angles of

,

, and

, we can assume that the maximum and minimum principal stresses occur at the

and

elements, respectively.Let's assume the maximum principal stress

occurs at the

element and the minimum principal stress

occurs at the

element.Using the formulas mentioned above, we can calculate the principal strains

and

and the angle

as follows:

b. For the tee delta rosette

:Given that the rosette has four elements with angles of

,

, and

, we can assume that the maximum and minimum principal stresses occur at the

and

elements, respectively.Let's assume the maximum principal stress

occurs at the

element and the minimum principal stress

occurs at the

element.Using the formulas mentioned above, we can calculate the principal strains

and

and the angle

as follows:

Note that without specific values for the stresses, we cannot provide numerical values for

,

, and

.

Question