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Figure 7.29 shows a beam of length 2? that is imbedded in

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 35E Chapter 7.8

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

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Problem 35E

Problem 35E

Figure 7.29 shows a beam of length 2λ that is imbedded in a support on the left side and free on the right. The vertical deflection of the beam a distance x from the support is denoted by y(x). If the beam has a concentrated load L acting on it in the center of the beam, then the deflection must satisfy the symbolic boundary value problem

 

where E, the modulus of elasticity, and I, the moment of inertia, are constants. Find a formula for the displacement y(x) in terms of the constants λ,L,E and I. [Hint:Let and y’’(0) = A and y’’’(0)=B First solve the fourth-order symbolic initial value problem and then use the conditions y’’(2λ) = y’’’(2λ) = 0 to determine A and B.]

Figure 7.29 Beam imbedded in a support under a concentrated load at x = λ

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Chapter 7.8, Problem 35E is Solved
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Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

The answer to “Figure 7.29 shows a beam of length 2? that is imbedded in a support on the left side and free on the right. The vertical deflection of the beam a distance x from the support is denoted by y(x). If the beam has a concentrated load L acting on it in the center of the beam, then the deflection must satisfy the symbolic boundary value problem where E, the modulus of elasticity, and I, the moment of inertia, are constants. Find a formula for the displacement y(x) in terms of the constants ?,L,E and I. [Hint:Let and y’’(0) = A and y’’’(0)=B First solve the fourth-order symbolic initial value problem and then use the conditions y’’(2?) = y’’’(2?) = 0 to determine A and B.] Figure 7.29 Beam imbedded in a support under a concentrated load at x = ?” is broken down into a number of easy to follow steps, and 140 words. This full solution covers the following key subjects: beam, Support, load, Concentrated, Symbolic. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. Since the solution to 35E from 7.8 chapter was answered, more than 251 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 35E from chapter: 7.8 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM.

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Figure 7.29 shows a beam of length 2? that is imbedded in