sectional area of the beam is shown in Figure Q2 (b) and the yield stress of the material is 220 MPa. The material is assumed to behave linearly elastic-perfectly plastic. a) Write the bending moment equation for the beam and sketch the bending moment diagram b) Determine the moment to initiate yielding in the cross-section c) Determine the moment to cause plastic collapse (fully plastic) in the cross-section d) Calculate the magnitude of the uniformly distributed load w, which causes plastic hinge e) Find the yield length of the beam due to the plastic collapse 20 P1 kN/m P3 A P2 I 20 Figure Q2 (a)

sectional area of the beam is shown in Figure Q2 (b) and the yield stress of the material is 220 MPa. The material is assumed to behave linearly elastic-perfectly plastic. a) Write the bending moment equation for the beam and sketch the bending moment diagram b) Determine the moment to initiate yielding in the cross-section c) Determine the moment to cause plastic collapse (fully plastic) in the cross-section d) Calculate the magnitude of the uniformly distributed load w, which causes plastic hinge e) Find the yield length of the beam due to the plastic collapse 20 P1 kN/m P3 A P2 I 20 Figure Q2 (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

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.3.13P: A counterclockwise moment M0acts at the midpoint of a fixed-end beam ACB of length L (see figure)....

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