A steel beam ABC carries a concentrated load of P (kN) at B and C, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 x 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 Pp (kN) for the condition of plastic collapse/hinge.
A steel beam ABC carries a concentrated load of P (kN) at B and C, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 x 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 Pp (kN) for the condition of plastic collapse/hinge.
(c) Determine the yielded length, Li, (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)).
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