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A lightweight cantilevered beam is supported at N points
Chapter 4, Problem 20E(choose chapter or problem)
A lightweight cantilevered beam is supported at N points spaced 10 ft apart, and a weight of 500 lb is placed at the end of the beam, 10 ft from the first support, as in the figure. Let yk be the bending moment at the kth support. Then y1 = 5000 ft-lb. Suppose the beam is rigidly attached at the Nth support and the bending moment there is zero. In between, the moments satisfy the three-moment equation Bending moments on a cantilevered beam.Find the particular solution of (15) that satisfies the boundary conditions (The answer involves N.)
Questions & Answers
QUESTION:
A lightweight cantilevered beam is supported at N points spaced 10 ft apart, and a weight of 500 lb is placed at the end of the beam, 10 ft from the first support, as in the figure. Let yk be the bending moment at the kth support. Then y1 = 5000 ft-lb. Suppose the beam is rigidly attached at the Nth support and the bending moment there is zero. In between, the moments satisfy the three-moment equation Bending moments on a cantilevered beam.Find the particular solution of (15) that satisfies the boundary conditions (The answer involves N.)
ANSWER:Solution 20EThe particula