The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression vy/3E where y = 2.3 lb/in.³ is the specific weight of the material, y = 0.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 8 in. is the length of the bar, and E = 23000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar.

The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression vy/3E where y = 2.3 lb/in.³ is the specific weight of the material, y = 0.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 8 in. is the length of the bar, and E = 23000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar.

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 2.7.9P: A slightly tapered bar AB of rectangular cross section and length L is acted upon by a force P (see...

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