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[M] Compute the stiffness matrix D–1 for D in Exercise 39.

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald ISBN: 9780321982384 49

Solution for problem 40E Chapter 2.2

Linear Algebra and Its Applications | 5th Edition

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Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

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Problem 40E

[M] Compute the stiffness matrix D–1 for D in Exercise 39. List the forces needed to produce a deflection of .04 in. at point 3, with zero deflections at the other points.Exercise 39:[M] Let be a flexibility matrix, with flexibility measured in inches per pound. Suppose that forces of 40, 50, and 30 lb are applied at points 1, 2, and 3, respectively, in Fig. 1 of Example 3. Find the corresponding deflections.Fig. 1 of Example 3:

Step-by-Step Solution:
Step 1 of 3

Solution:-Step1Given that Let be a flexibility matrix, with flexibility measured in inches per pound. Suppose that forces of 40, 50, and 30 lb are applied at points 1, 2, and 3, respectivelyStep2To findList the forces needed to produce a deflection of .04 in. at point 3, with zero deflections at the other points.Step3We have Now= We know thatDf= f= = = = = Forces must be 0,-1.3332,4 at points 1.2.3.Therefore, the forces 0,-1.3332,4 needed to produce a deflection of .04 in. at point 3, with zero deflections at the other points.

Step 2 of 3

Chapter 2.2, Problem 40E is Solved
Step 3 of 3

Textbook: Linear Algebra and Its Applications
Edition: 5
Author: David C. Lay; Steven R. Lay; Judi J. McDonald
ISBN: 9780321982384

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[M] Compute the stiffness matrix D–1 for D in Exercise 39.