MATLAB: AN INTRODUCTION WITH APPLICATIO
MATLAB: AN INTRODUCTION WITH APPLICATIO
6th Edition
ISBN: 9781119626596
Author: GILAT
Publisher: WILEY
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Chapter 7, Problem 32P

Delta rosette is a set of three strain gages oriented at 120° relative to each other. The strain measured with each of the strain gages is eA, eB, and eC. The principal strains e1 and e2 can be calculated from the strains measured with the rosette by:

ϵ 1.2 = ϵ A + ϵ B + ϵ C 3 ± 2 3 ( ϵ A ϵ B ) 2 + ( ϵ B ϵ C ) 2 + ( ϵ C ϵ A ) 2

Write a user-defined MATLAB function that determines the principal strains given the strains eA, eB. and eC. For the function name and arguments, use [P1, P2]=DeltaRos (A, B, C). The input arguments A. B, and C are the values of the three strains measured by the rosette. The output arguments P1 and P2 are the values of the principal strains.

Use the function to determine the principal strains for the following cases:

(a)ϵA=42µ, ϵB=970µ, ϵC=340µ.

(b) ϵA=110µ, ϵB=80µ, ϵC=-60µ.

Chapter 7, Problem 32P, Delta rosette is a set of three strain gages oriented at 120° relative to each other. The strain

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Chapter 7 Solutions

MATLAB: AN INTRODUCTION WITH APPLICATIO

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