b. A cantilevered beam of length 120 mm, is 25 mm wide and 6 mm thick as shown in Figure 2. The beam is subjected to a fluctuating end load such that the ratio of the maximum bending moment to mean bending moment is 3. The yield stress of the beam material is 250 N/mm² and the endurance limit is 85 N/mm?. i. Determine the maximum permissible end load that can act on the beam without causing failure. ii. If a factor of safety of 2.5 is now applied to the endurance stress, determine the maximum permissible end load on the beam. iii. What is the ratio of the maximum permissible end load calculated in part lb (ii) above to that calculated in part Ib (i) above?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.5.5P: A cantilever beam of a length L = 2.5 ft has a rectangular cross section {b = 4in,, h = Sin,) and...
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b. A cantilevered beam of length 120 mm, is 25 mm wide and 6 mm thick as shown in Figure 2. The
beam is subjected to a fluctuating end load such that the ratio of the maximum bending moment to
mean bending moment is 3. The yield stress of the beam material is 250 N/mm? and the endurance
limit is 85 N/mm?.
i.
Determine the maximum permissible end load that can act on the beam without causing
failure.
ii. If a factor of safety of 2.5 is now applied to the endurance stress, determine the maximum
permissible end load on the beam.
iii. What is the ratio of the maximum permissible end load calculated in part lb (ii) above to the
calculated in part 1b (i) above?
Fluctuating
end load
6 mm
120 mm
Transcribed Image Text:b. A cantilevered beam of length 120 mm, is 25 mm wide and 6 mm thick as shown in Figure 2. The beam is subjected to a fluctuating end load such that the ratio of the maximum bending moment to mean bending moment is 3. The yield stress of the beam material is 250 N/mm? and the endurance limit is 85 N/mm?. i. Determine the maximum permissible end load that can act on the beam without causing failure. ii. If a factor of safety of 2.5 is now applied to the endurance stress, determine the maximum permissible end load on the beam. iii. What is the ratio of the maximum permissible end load calculated in part lb (ii) above to the calculated in part 1b (i) above? Fluctuating end load 6 mm 120 mm
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