A single strain gauge, placed in the vertical plane on the outer surface and at an angle

Chapter 10, Problem 10-44

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A single strain gauge, placed in the vertical plane on the outer surface and at an angle of \(30^{\circ}\) to the axis of the pipe, gives a reading at point A of \(\epsilon_{a}=-200\left(10^{-6}\right)\). Determine the principal strains in the pipe at point A. The pipe has an outer diameter of 2 in. and an inner diameter of 1 in. and is made of A-36 steel.

                                                       

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