MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 Applications

Ch. 7 - Write a user-defined function that calculates...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Prob. 15PCh. 7 - The area of a triangle ABC can be calculated by:...Ch. 7 - As shown in the figure, the area of a convex...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Write a user-defined MATLAB function that converts...Ch. 7 - Write a user-defined function that plots a...Ch. 7 - Write a user-defined function that plots an...Ch. 7 - Prob. 22PCh. 7 - Write a user-defined function that determines if a...Ch. 7 - The harmonic mean H of a set of n positive numbers...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Write a user-defined function that sorts the...Ch. 7 - Write a user-defined function that sorts the...Ch. 7 - Write a user-defined MATLAB function that finds...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - The shortest distance between two points on the...Ch. 7 - Delta rosette is a set of three strain gages...Ch. 7 - In a lottery the player has to select several...Ch. 7 - 34. The Taylor series expansion for sin x about x...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - The area moment of inertia Ixe of a rectangle...Ch. 7 - The simple RC high-pass filter shown in the figure...Ch. 7 - A circuit that filters out a certain frequency is...Ch. 7 - The first derivative df(x)dx a function f(x) at a...Ch. 7 - In lottery the player has to guess correctly r...
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