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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 3 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The prototype of a tie rod is designed to be 10 feet long and have a rectangular cross section with width, w = 2 inches and breadth, b = 1 inch. The material will be a heattreated steel with Young’s modulus of 30 × 106 lb/in2. The tie rod is intended to be loaded axially in tension. A model of the rod is to be made and tested from a soft, easyto-machine, aluminum alloy with Young’s modulus of 10 × 106 lb/in2. The model must remain elastic during testing as must the prototype during service. The yield strength for the aluminum alloy is 20,000 psi (or lb/in2). Therefore, the model cannot be loaded as heavily as the prototype. It has been decided that every pound of load on the model will be equivalent to 10 pounds on the prototype. Now we need to determine the dimensions of the model based on scale relationships. (a) Derive the scaling relationship between the predicted deflection of the prototype, δp, for the deflection of the model, δm.
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(b) Determine the geometric, load, and elastic scale factors, and determine δp when the model is at its largest possible deflection.
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