Resistance-wire strain gages giving deformations at 45° with the shaft axis are attached a...
Resistance-wire strain gages giving deformations at 45° with the shaft axis are attached at A and B in Fig. 1. Lead wires are carried from the gages through slip rings and brushes to electric instruments, which permit the deformations to be determined. The shaft carries torque only. Find its value if the elongation at A in x′ direction is 0.0006 mm/mm positive, and if elongation at B in the y′ direction is the same amount but negative. Draw a view of the element with sides parallel to the x- and y-axes and show stresses acting. Also draw a view for the element with sides parallel to x′- and y′-axes. μ = 1/3; E = 200,000 MPa.
Figure 1.
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