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Math / Linear Algebra and Its Applications 5 / Chapter 2.2 / Problem 42E

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

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[M] With D as in Exercise, determine the forces that

Chapter 2, Problem 42E

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QUESTION:

Problem 42E

[M] With D as in Exercise, determine the forces that produce a deflection of .24 cm at the second point on the beam, with zero deflections at the other three points. How is the answer related to the entries in D−1? [Hint: First answer the question when the deflection is 1 cm at the second point.]

Exercise

[M] Let be a flexibility matrix for an elastic beam with four points at which force is applied. Units are centimeters per newton of force. Measurements at the four points show deflections of .08, .12, .16, and .12 cm. Determine the forces at the four points.

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QUESTION:

Problem 42E

[M] With D as in Exercise, determine the forces that produce a deflection of .24 cm at the second point on the beam, with zero deflections at the other three points. How is the answer related to the entries in D−1? [Hint: First answer the question when the deflection is 1 cm at the second point.]

Exercise

[M] Let be a flexibility matrix for an elastic beam with four points at which force is applied. Units are centimeters per newton of force. Measurements at the four points show deflections of .08, .12, .16, and .12 cm. Determine the forces at the four points.

ANSWER:

Solution 42E

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