A simply supported beam carries a concentrated load at the center which fluctuates from a value of W to 4 W. The span of the beam is 497 mm and its cross-section is circular with a diameter of 52 mm. Take ultimate stress of beam material as 687 MPa, Yield stress as 0.55 times ultimate stress and the endurance strength as 0.45 times the value of ultimate stress  and take a factor of safety of 1.5. Calculate the maximum value of "W", if the variable stress induced in the beam is 124 N/mm2. Using Goodman relation calculate the value of mean stress in N/mm2

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 6.3.6P: The composite beam shown in the figure is simply supported and carries a total uniform load of 40...
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A simply supported beam carries a concentrated load at the center which fluctuates from a value of W to 4 W. The span of the beam is 497 mm and its cross-section is circular with a diameter of 52 mm. Take ultimate stress of beam material as 687 MPa, Yield stress as 0.55 times ultimate stress and the endurance strength as 0.45 times the value of ultimate stress  and take a factor of safety of 1.5. Calculate the maximum value of "W", if the variable stress induced in the beam is 124 N/mm2. Using Goodman relation calculate the value of mean stress in N/mm2.

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