Question

Question 5 150 d at both ends and. (6 marks) y are laced Structural Figure 3a. Given for one steel 3 x 106 mm 15 Marks steel channels are used to construct a column that is 12 m long as shown in (b) The total compressive mm back to back as shown E-200 GPa. load required to buckle two such members if t in Figure 3b. Assume the columns are pinne channel be Area - 3795m F81.8 mm Hint: Compare Ixx ,and Iyy to figure out the weak axis Distance to centroid (c,)- 14.8 mm H For the column section calculate: 150 mm Figure 3a Figure 3b load required to buckle the two members if they act independently is pinned at both ends and E-200 GPa (a) The total compressive other. Assum cach the colum (3 marks) Z2x 200x zf3x

Answer 1

Ky buckle 5 (a lLoo membeus ar L=12m Pinned Bolh ends w Left 1200O mm 1.0Ix 1 Tmin young's maduls E 00 Gpa 2X 10 N me Compersive T EImin Socd Buckding Left 13844.862 N (1200) 2 f 13.845 kN C48mm C-14.Sm 25.30 50.6x10 mm Iyy Yyt 5+ 14 2 1.01X10 3795 1yy -G3.226 X 10 mm Tyy 6 1 min 50 6 x10 mm pinned at bolk ends e= L=1fOn i20mm Leff = L TT E Tmin TTx 2x 10 x 50.6X10 CX (12000)L 693.613 KN -693613.665 N