3- The cantilever beam shown below carries a distributed load of maximum intensity w= 20 kN/m, length L= 6m, E=200 GPa, and I = 90 x106 mm4. Use the below relationships to determine the maximum moment M, the slope at the left and right ends, maximum deflection, and the deflection at a distance of 3.5 m from the right end. w. 8 R, R2 • Maximum Moment: M-w,L2/93 • Slope at end, o OL= 7wL3/360EI o BR= 8wL3/360EI • Maximum deflection: 0=2.5wL4/384EI • Deflection equation (y is positive downward): Ely=wx(7L -10LX +3x )/360L 4 2 2 4

3- The cantilever beam shown below carries a distributed load of maximum intensity w= 20 kN/m, length L= 6m, E=200 GPa, and I = 90 x106 mm4. Use the below relationships to determine the maximum moment M, the slope at the left and right ends, maximum deflection, and the deflection at a distance of 3.5 m from the right end. w. 8 R, R2 • Maximum Moment: M-w,L2/93 • Slope at end, o OL= 7wL3/360EI o BR= 8wL3/360EI • Maximum deflection: 0=2.5wL4/384EI • Deflection equation (y is positive downward): Ely=wx(7L -10LX +3x )/360L 4 2 2 4

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.10.7P: A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity...

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