Structural Damping Effects on Dynamic Instability of Subtangentially Loaded and Shear Deformable Beck’s Columns

Table 5

Ranges of α according to instability characteristics.

Range 1	0.0 < α ≤ 0.321	0.0 < α ≤ 0.318	0.0 < α ≤ 0.306
Range 2	0.321 < α ≤ 0.354	0.318 < α ≤ 0.352	0.306 < α ≤ 0.345
Range 3	0.354 < α ≤ 0.439	0.352 < α ≤ 0.433	0.345 < α ≤ 0.414
Range 4	0.439 < α ≤ 0.5	0.433 < α ≤ 0.488	0.414 < α ≤ 0.456
Range 5	0.5 < α ≤ 1.0	0.488 < α ≤ 1.0	0.456 < α ≤ 1.0