The problems for Section 2.9 involve the determination of principal strains and maximum shear strain from measurements by strain rosettes.
For the rectangular strain rosette (Figure 2.20/b), let arm a be directed along the positive x axis of axes (x, y).
a. Show that the maximum principal strain is located at angle θ, counterclockwise to the x axis, where
b. Show that the two principal surface strains ϵl and ϵ2 are given by where
where
c. Construct the corresponding Mohr’s circle for the delta rosette.
FIGURE 2.20 Rosette strain gages, (b) Rectangular rosette.
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