The beam shown is fabricated of a nickel alloy for which the endurance limit in bending is 289 MPa, the yield strength is 300 MPa, and the ultimate strength is 570 MPa. The thickness of the beam is uniform and equal to 50 mm. The stress concentration factor due to the fillet at B is 1.3. The applied load ranges from a downward load P to an upward load ½ P as shown. Use factors of safety of 4 with respect to fatigue, 3 with respect to the ultimate strength, and 2 with respect to yielding and determine the maximum permissible load P using (a) the Gerber Parabola, (b) the Goodman Straight Line, and (c) the Soderberg Straight Line. 200 mm 160 mm + osm-- -0.5 -0.5 m- 1.0 m

The beam shown is fabricated of a nickel alloy for which the endurance limit in bending is 289 MPa, the yield strength is 300 MPa, and the ultimate strength is 570 MPa. The thickness of the beam is uniform and equal to 50 mm. The stress concentration factor due to the fillet at B is 1.3. The applied load ranges from a downward load P to an upward load ½ P as shown. Use factors of safety of 4 with respect to fatigue, 3 with respect to the ultimate strength, and 2 with respect to yielding and determine the maximum permissible load P using (a) the Gerber Parabola, (b) the Goodman Straight Line, and (c) the Soderberg Straight Line. 200 mm 160 mm + osm-- -0.5 -0.5 m- 1.0 m

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 5.8.8P: A beam of rectangular cross section (width/) and height supports a uniformly distributed load along...

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