Question

QUESTION 4 A tourist lodge has a balcony that is supported by a circular column with a diametet D = 85mm and it is suspected that the column may fail due to buckling caused by the weight of the balcony The yield stress of the colunu matemal 15 , = 320 MPa and the length of the column 15 1 = 2 23 ni The Rankine constant for the particular system is estimated to be a = 1566 and it is known that the moment of inertia for a cucular CioSS-section is I = 10 Considering the above system determine the following information (8) 41 42 43 The radius of gyration for the cucular column The failue stiess o The couesponding failure load P, (10) (7) Total Marks. (25)

Answer 1

Anse Givena D=85mm Ty=320 Mpa L=2-23m=2230mm. a= 15.96 Is TD4 5mm - T1885 64 = 25.62x10 64 A= 1 / 5 = 4 x 85 = 5674.5 mm i Radius of gyration (3) 25.62x10 - =9.95mon 5674.5 ro 9.95mm i failure stress of a Oy tta) =9.85mpa 320 it I 2230 1896 19.95 If = 9.85 mpa in, failure bood, Pt JJ XA - 9.8585674.5=55894 N Pf=55894N