Question

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144 PART 2 Strength of Materials for Technicians 4th Edition 9.9 Two 127 mm x 64 mm steel channel sections are placed back to back with their backs a distance of 2d apart. If two 200 mm x 15 mm steel plates are welded to the flanges of the channels as shown, calculate the value of d if I = 1, for the built-up section, as well as I 200 mm Figure 9.18 (50,54 mm; 40,05 x 10-ml

Answer 1

saluron Given Steel Chanuel 1 - 127 x64 mm² steel Channel 2 - 200x 15 mm² 6 Both are steel charids :. E, F =P h = 127 mm H = 127+15 H = 142 mm b=200mm t = 15 mm 12 Moment ces gheactice about y-aris Ix-x = (22) h3 + b H2 h). - (2J) (12713 +200 (1423-127) Ix-* = dx (3413471.) + (1.35 87 107) Moment of Inertice about y-asis Iy-y = hubal} + b3 (14-h) Iyy = 12778d3 + 2003 (142-127) Iyy = (84.657)3 + (107) Iyy = Iry 12 - Equating lyx = lry (341397.11)d +(1.358X107) =184.667411 4107) d2= 25542916 la = 5054 mm From ① Iy-t 5054 x (341347:17) + (1-350X107 ) Irx = 4005x100 m