. The cantilever beam shown below has a length L, moment of inertia I, and is made from amaterial with modulus of elasticity E. The load P is applied at the end of the beam.a. Derive the maximum deflection of the beam and show that maxEly" (x)PPL³ЗЕІ'b. Consider E =29 x 10³ ksi, P = 6 kip, I = 204 in 4, and L = 15 ft with the length andmoment of inertia measured with ±5% and ±10% accuracy, respectively. In 3 significantfigures, calculate the deflection and express the variation of its worst-case error.8maxHint: M(y) =

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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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