V. [ Total: 25 pt. ] As shown in the figure, a beam is subjected to a 6 kN concentrated load and a 2 kN/m uniform distributed load. Take E=200 GPa and 1=40×10-6 m². (a) Draw a bending moment M(x) diagram of the beam. The x-coordinate is defined in the figure. (b) Determine the equation of the elastic curve of the deformed beam. (c) Determine the slope at the support A. (d) If there is no distributed load (i.e., only the A 6 kN 2 kN/m 5 m X 8 m concentrated load exists), determine the maximum deflection of the beam and the location where the maximum deflection will appear. [(a):5%, (b):9%, (c):2%, (d):9%] B

V. [ Total: 25 pt. ] As shown in the figure, a beam is subjected to a 6 kN concentrated load and a 2 kN/m uniform distributed load. Take E=200 GPa and 1=40×10-6 m². (a) Draw a bending moment M(x) diagram of the beam. The x-coordinate is defined in the figure. (b) Determine the equation of the elastic curve of the deformed beam. (c) Determine the slope at the support A. (d) If there is no distributed load (i.e., only the A 6 kN 2 kN/m 5 m X 8 m concentrated load exists), determine the maximum deflection of the beam and the location where the maximum deflection will appear. [(a):5%, (b):9%, (c):2%, (d):9%] B

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.2.6P: A r o lukI f/frm f «m t ub e of ou t sid e d ia met er ^ and a copper core of diameter dxare bonded...

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