Q2 [4 marks] A short cylindrical billet 16 mm diameter and 40 mm gauge length is elongated under tensile load to 50 mm and then compressed to 36 mm. The material characteristic curve under axial loading is given by (σ = 400ε0.4 MPa). Ignoring the elastic deformations and Bauschinger effect, determine: (a) the diameter of the billet after elongation [0.5 mark] (b) the final diameter of the billet after recompression [0.5 mark] (c) the equivalent strain and new yield stress of the elongated billet [1 mark] (d) the final equivalent strain and the yield stress after recompression to 36 mm [1 mark] (e) the force required to elongate the billet to 50 mm [0.5 mark] (f) the force needed to recompress the billet back to 36 mm [0.5 mark]

Q2 [4 marks] A short cylindrical billet 16 mm diameter and 40 mm gauge length is elongated under tensile load to 50 mm and then compressed to 36 mm. The material characteristic curve under axial loading is given by (σ = 400ε0.4 MPa). Ignoring the elastic deformations and Bauschinger effect, determine: (a) the diameter of the billet after elongation [0.5 mark] (b) the final diameter of the billet after recompression [0.5 mark] (c) the equivalent strain and new yield stress of the elongated billet [1 mark] (d) the final equivalent strain and the yield stress after recompression to 36 mm [1 mark] (e) the force required to elongate the billet to 50 mm [0.5 mark] (f) the force needed to recompress the billet back to 36 mm [0.5 mark]

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...

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