Figure Q2 shows a beam subjected to distributed loading. Knowing the beam is fixed supported at one end and roller supported at the other end; (a) Draw the Free Body Diagram (FBD) of the beam (b) Sketch the possible elastic curve of the beam (c) Define the elastic curve formulation y of the beam using Macaulay Function (d) Define support reactions of the beam

Figure Q2 shows a beam subjected to distributed loading. Knowing the beam is fixed supported at one end and roller supported at the other end; (a) Draw the Free Body Diagram (FBD) of the beam (b) Sketch the possible elastic curve of the beam (c) Define the elastic curve formulation y of the beam using Macaulay Function (d) Define support reactions of the beam

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 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 wp (kN/m) for the condition of plastic collapse/hinge. (c) Determine 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 (a) (b) Figure Q3 Table 1 Wide-Flange Sections or W Shapes SI Units Flange X-x axis y-y axis Web Area Depth thickness width thickness Designation A tw by mm x kg/m mm? 10° mm 10 mm 10° mm 10 mm mm mm mm mm mm mm W610 x 155 19…
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