Question
5) Steel column AB is fixed at B and the contraint at A pervents motion in...
5) Steel column AB is fixed at B and the contraint at A pervents motion in the xy plane. If E = 200 GPa and a factor of safety 2 is desired, (a) Determine the design load P of the beam (b) Show the first mode of buckling (deformed shape) in the column at the critical buckling load Pcr (8 pts) P A Y 30 mm 10 mm 10 m X
Answers
Calculate Bucking load in each direction in For Buckling Column x-z-plane Fixed - Free => Left = 2L 2(10) is zom 3 Iy= 10 (30) 12 u 22500 mm By Euler's formula Per = TEI (3.14)7200x16) (22500) (20818) 2 left 110.92 N For Buckling in Column be haves x-y- plane Fixed-hinged =) left => Left = 10 万 To = 7:07 3 Iz = 30 (10) 12 4 2500 mm 2500 mmà Por = (3.14) (200716) (2500) 2500 (707410² = Per= 98.625 N i Column will buckle along x-y plane least in that direetion since buckling load is Using Fos=2 Design load = 98.625 2 49.312N Hb First mode of Bucking as 2
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