A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 × 82 with geometrical properties as shown in Table 1. Assuming that the beam behaves as elastic-perfectly plastic material with a yield strength of 210 MPa; (a) Draw the moment diagram of the beam and indicate the section that carries the maximum bending moment. (b) Knowing the shape factor of the beam, k = 1.15 calculate the magnitude of w, (kN/m) for the condition of plastic collapse/hinge. (c) Detemine the yielded length, L, (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)). W (kN/m) -10 m- (b) Figure Q3

A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 × 82 with geometrical properties as shown in Table 1. Assuming that the beam behaves as elastic-perfectly plastic material with a yield strength of 210 MPa; (a) Draw the moment diagram of the beam and indicate the section that carries the maximum bending moment. (b) Knowing the shape factor of the beam, k = 1.15 calculate the magnitude of w, (kN/m) for the condition of plastic collapse/hinge. (c) Detemine the yielded length, L, (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)). W (kN/m) -10 m- (b) Figure Q3

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 5.5.28P: A foot bridge on a hiking trail is constructed using two timber logs each having a diameter d = 0.5...

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