The cantilever beam shown below has a length L, moment of inertia I, and is made from a material with modulus of elasticity E. The load P is applied at the end of the beam. Hint: M(y) = a. Derive the maximum deflection of the beam and show that max = Ely" (x) PL³ 3EI = b. Consider E = 29 × 10³ ksi, P = 6 kip, I 204 inª, and L = 15 ft with the length and moment of inertia measured with ±5% and ±10% accuracy, respectively. In 3 significant figures, calculate the deflection and express the variation of its worst-case error. P Smax
The cantilever beam shown below has a length L, moment of inertia I, and is made from a material with modulus of elasticity E. The load P is applied at the end of the beam. Hint: M(y) = a. Derive the maximum deflection of the beam and show that max = Ely" (x) PL³ 3EI = b. Consider E = 29 × 10³ ksi, P = 6 kip, I 204 inª, and L = 15 ft with the length and moment of inertia measured with ±5% and ±10% accuracy, respectively. In 3 significant figures, calculate the deflection and express the variation of its worst-case error. P Smax
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.5.5P: A cantilever beam of a length L = 2.5 ft has a rectangular cross section {b = 4in,, h = Sin,) and...
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