What force F can be applied to the system shown in the figure, governed by the 25 X 16-mm aluminum-alloy bar AB? The factor of safety on the Euler buckling load is to be 2.5. Assume the ends are pinned. E = 70 GPa.

Derive the Euler Buckling formula for column having fixed support at both ends.     (eXPLAIN IN DETAIL IN HAND WRITTEN )

Consider two types of a column cross-section: a hollow square and a hollow circular section. In both cases the wall thickness is 6 mm and the area occupied by the load-bearing material is 965 mm². Find which of these two column types produces a better buckling performance with relevant calculations supporting your answer. Answer The outer size of the hollow square section can be calculated as mm • The outer diameter of the hollow circular section can be calcualted as . mm The second moment of area for the hollow square section can be calculated as mm The second moment of area for the hollow circle section can be calculated as mm Find which of these two column types produces a better buckling performance. O Hollow Circular Section O Hollow Square Section

2" Problem 5: For the component shown in the figure. Where is the critical location? What steel do you recommend based on yielding and factor of safety n=3. (F=1000 lb) == 24243,936N Paper Buckling => (5,00016) (1125/2) J 1/64 (1125/9 = 26075,95 1.25" r = 0.06" F 51 Per = ('T ES 02 2F T = 5F lb - in 3350 72518.87 86000 = 98.99) ² 2n, 3