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A vertical tapered rod of length L has its diameter varying linearly from 'd' at lower end to D at the upper end which has fixed support. Young's modulus of the material is E. Show that the elongation of the rod at its lower end when subjected to a longitudinal force F is given by &= 4FL/ ПdDE

A vertical tapered rod of length L has its diameter varying linearly from 'd' at lower end to D at the upper end which has fixed support. Young's modulus of the material is E. Show that the elongation of the rod at its lower end when subjected to a longitudinal force F is given by &= 4FL/ ПdDE

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A vertical tapered rod of length L has its diameter varying linearly from 'd' at lower end to D at the upper end which has fixed support. Young's modulus of the material is E. Show that the elongation of the rod at its lower end when subjected to a longitudinal force F is given by &= 4FL/ πdDE
Transcribed Image Text:A vertical tapered rod of length L has its diameter varying linearly from 'd' at lower end to D at the upper end which has fixed support. Young's modulus of the material is E. Show that the elongation of the rod at its lower end when subjected to a longitudinal force F is given by &= 4FL/ πdDE
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