Strain Rosettes

In practical stress and strain analysis it is the strain value which is first obtained by measurement using strain gauges. With these measured data, stress values are then obtained analytically.
Strain measurements are possible because it is simple and highly reliable techniques have been established.
Strains are measured along several closely clustered gauge line as shown below, by lines
a-a, b-b, c-c inclined at , and respectively to the x-axis. Such arrangement are called strain rosettes.



If 3 measurements are taken, it is sufficient to determine the complete state of plane strain at a point. It can be shown
(Ref 8: Popovers P430-P432) that:



Where n is the number of strain gauge. Note that the unknowns are and . Hence, 3 measurements producing 3 equations are sufficient to solve for the unknowns.




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