Discussion
Which amongst the following are true characteristics of simple shear ?
(1) Lines along the shear plane deform or rotate
(2) Physical lines rotate faster than the axes of the strain ellipse
(3) In the Schmidt net, lines rotate along great circle outward from the shearing direction
(4) The sense of line rotation is the same for any line orientation
Answer: C
Statements 2 and 4 are true, so the answer is (2) and (4) are true; (1) and (3) are false.
In simple shear, material lines rotate faster than the axes of the strain ellipse, which rotate only gradually towards the shear plane (2). All lines rotate in the same sense, the sense of shear, whatever their orientation, unlike pure shear, where lines on either side of the principal axes rotate in opposite senses (4).
Statement 1 is false because lines lying in the shear plane neither rotate nor change length. Statement 3 is false because, on a Schmidt net, lines rotate along great circles towards the shear direction, not outward from it.
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