11.1

(Figure P11.1).

Figure P11.1

11.2

(Figure P11.2).

Figure P11.2

11.3

(Figure P11.3).

Figure P11.3

In Problems 11.4 through 11.6, linear deflection springs and torsional springs are attached to rigid bars as shown. The springs can act in tension or in compression and resist rotation in either direction. Determine the critical load value P _cr.

11.4

(Figure P11.4).

Figure P11.4

11.5

(Figure P11.5).

Figure P11.5

11.6

(Figure P11.6).

Figure P11.6

11.7

A hollow circular steel column ( E = 200 GPa) is simply supported over a length of 5 m. The inner and outer diameters of the cross section are 75 mm and 100 mm. Determine: (a) the slenderness ratio; (b) the critical buckling load; (c) the axial stress at the critical buckling load. (d) If roller supports are added at the midpoint, what would be new critical buckling load?

11.8

A 30-ft-long hollow square steel column ( E = 30,000 ksi) is built into the wall at either end. The column is constructed from 1/2-in-thick sheet metal and has outer dimensions of 4 in 4 in. Determine: (a) the slenderness ratio; (b) the critical buckling load; (c) the axial stress at the critical buckling load.

11.9

A 20-ft-long wooden column ( E = 1800 ksi) has cross-section dimensions of 8 in 8 in. The column is built in at one end and simply supported at the other end. Determine: (a) the slenderness ratio; (b) the critical buckling load; (c) the axial...