fall_2003_sp9

fall_2003_sp9 - Massachusetts Institute of Technology...

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Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA 02139 16.01/16.02 Unified Engineering I, II Fall 2003 Systems Problem 9 Name: Due Date: 11/6/03 Time Spent (min) SP9 Study Time Announcements: NOTE: There is no SP8
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UNIFIED ENGINEERING Fall, 2003 Systems Problem #9 The Truss Issued October 30 2003 Due 5pm November 6 2003 Objectives After completing this laboratory exercise you should be able to: • Perform an analysis of a two dimensional truss under applied loads • Verify the calibration of a laboratory instrument • Use calibration data to convert measured micro-strain readings into corresponding forces • Execute an empirical study to relate applied loads to forces in truss members • Write a computer code to perform an automatic analysis of an arbitrary truss • Compare and contrast the use of analytical and experimental models Overview A three-dimensional truss is tested under transverse loading and the load-deflection characteristics and the internal bar/member strains are measured. From the latter, the internal bar/member loads are determined. These latter derived results are compared to results obtained from analysis using a two-dimensional model of the truss. The deflection results and the strain results are retained for use later in Unified when these concepts are introduced in lecture. Thus, comparison can be made between the model of the truss and the performance of an actual truss and therefore the validity of some of the assumptions made in forming the model can be examined. In performing the laboratory, each student is introduced to a number of types of instrumentation and associated concepts. These are strain gages and the measurement of strain; deflection meters (dial gauges); loads cells; load-displacement relations; and the use of experimental/empirical calibration to obtain indirect measurements of one parameter via the direct measurement of another parameter (in this case member loads via member strains). In addition to the laboratory work, each student will generate a computer code, from a template provided, that will perform automatic calculation of the bar forces in a truss, given an arbitrary applied loading. This will enforce the concept of the utility of computational methods to solve engineering problems
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Unified Engineering Laboratory Exercise 2 The Truss Fall, 2003 page 2 Background As was discussed in lecture, trusses are used for a number of different structures. They are structurally very efficient (i.e. they can carry high loads for a given mass of structure), and so they are widely used for space structures, and were used for early airframes. In the context of Unified Engineering they are also useful to us in introducing you to structural analysis as they are relatively simple structures to analyze. However, it is important to realize, that for trusses, and for any other structure that we design or analyze, the analysis is performed on an idealization of the actual, physical structure. In conducting
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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fall_2003_sp9 - Massachusetts Institute of Technology...

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