In Figure P12.10, member CD is a structural steel (E = 200 GPa) pipe with an outside diame...

In Figure P12.10, member CD is a structural steel (E = 200 GPa) pipe with an outside diameter of 101.6 mm and an inside diameter of 90.1 mm. The pipe has reinforced sphe1ical end caps, so that the pipe acts as a pin-ended column. The column was used to support the weight (80 kN) of member AB while it was fixed in the position shown. In this position, the pipe supports the weight of AB. The exact location of member AB was obtained when the column had a uniform temperature of 20°C. After fixing member AB in position, the column temperature was increased uniformly by the sun until the column buckled. Determine the temperature at which the column buckled. The coefficient of linear thermal expansion is α = 11.7 × 10-6/°c.

FIGURE P12.10