The following question is based on the theoretical Euler Buc

The following question is based on the theoretical Euler Buckling that you covered in Mechanics of Solids. For the Column shown below, calculate: i. The controlling (i.e. maximum) theoretical slenderness ratio, Le/r. i. The critical theoretical Euler Buckling load, Pr Known Properties Radius of Gyration L=10m E1.40E+05 MPa 1xx =| 2.08E+071mm4 248 mmm 224 mm 2.80E+05 mm 10 m 5 m 5 m End condition for major axis (xx) buckling End condition for major axis (yy) buckling

Solution

K_ex = 1

L_ex=10m

L_ex/r_x = 10000/248=40.32

K_ey=1

L_ey=5m

L_ey/r_y = 22.32

Controlling slenderness ratio = L_ex/r_x = 10000/248=40.32