A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity 4, and minimum intensity q/2;that includes the weight of the beam (see figure). The beam is a steel W 12 x 14 wide-flange shape (see Table F-1(a), Appendix F). Calculate the maximum permissible load q based upon (a) an allowable bending stress eallow = 18 ksi and (b) an allowable shear stress eallow = 7,5 ksi. Note: Obtain the moment of inertia and section modulus of the beam from Table F-1(a).

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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A cantilever beam AB of length L = 6.5 ft supports a trapezoidal
distributed load of peak intensity 4, and minimum intensity
q/2,that includes the weight of the beam (see figure). The beam is
a steel W 12 x 14 wide-flange shape (see Table F-1(a), Appendix F).
Calculate the maximum permissible load q based upon (a) an
allowable bending stress eallow = 18 ksi and (b) an allowable shear
stress eallow = 7,5 ksi.
Note: Obtain the moment of inertia and section modulus of the
beam from Table F-1(a).
W 12 x 14
-L= 6.5 ft-
Transcribed Image Text:A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity 4, and minimum intensity q/2,that includes the weight of the beam (see figure). The beam is a steel W 12 x 14 wide-flange shape (see Table F-1(a), Appendix F). Calculate the maximum permissible load q based upon (a) an allowable bending stress eallow = 18 ksi and (b) an allowable shear stress eallow = 7,5 ksi. Note: Obtain the moment of inertia and section modulus of the beam from Table F-1(a). W 12 x 14 -L= 6.5 ft-
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