5. A 4-point bending test is performed on a beam of length L = 1 m. A load of P = 2000 N is appliedacross two loading points a distance a = 0.4 m from the sides of the beam. If the beam has a radius ofr = 1 cm and a yield strength of σ = 250 MPa, does the bar yield? If it's an elastic-perfectly plasticmaterial, does it fail all the way through the thickness of the bar? What would the yield strength of thematerial need to be if we wanted a factor of safety of 1.5?

Answered: 5. A 4-point bending test is performed…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.5.1P: A cable CD of a length H is attached to the third point of a simple beam AB of a length L (see...

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Question

5. A 4-point bending test is performed on a beam of length L = 1 m. A load of P = 2000 N is applied
across two loading points a distance a = 0.4 m from the sides of the beam. If the beam has a radius of
r = 1 cm and a yield strength of σ = 250 MPa, does the bar yield? If it's an elastic-perfectly plastic
material, does it fail all the way through the thickness of the bar? What would the yield strength of the
material need to be if we wanted a factor of safety of 1.5?

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