A plastic rod AB of length L = 0.5 m has a diameter d, = 30 mm (see figure). A plastic sleeve CD of length c = 0.3 m and outer diameter d2 = 45 mm is securely bonded to the rod so that no slippage can occur between the rod and the sleeve (b = 0.1 m). The rod is made of an acrylic with modulus of elasticity E = 3.1 GPa and Poisson's ratio v = 0.3, and the sleeve is made of a polyamide with E2 = 2.5 GPa. Determine the elongation (8) of the rod AB and the new diameter (d,') of the AC or DB segment, when the rod is pulled by axial forces P = 12 kN. Note: take n = 3.1415926. %3D %3D di d2 C D A В C – -L–

A plastic rod AB of length L = 0.5 m has a diameter d, = 30 mm (see figure). A plastic sleeve CD of length c = 0.3 m and outer diameter d2 = 45 mm is securely bonded to the rod so that no slippage can occur between the rod and the sleeve (b = 0.1 m). The rod is made of an acrylic with modulus of elasticity E = 3.1 GPa and Poisson's ratio v = 0.3, and the sleeve is made of a polyamide with E2 = 2.5 GPa. Determine the elongation (8) of the rod AB and the new diameter (d,') of the AC or DB segment, when the rod is pulled by axial forces P = 12 kN. Note: take n = 3.1415926. %3D %3D di d2 C D A В C – -L–

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.4.10P: A plastic rod AB of length L = 0.5 m has a diameter d1= 30 mm (see figure). A plastic sleeve CD of...

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