A hollow circular tube T of a length L =15 in. is uniformly compressed by a force P acting through a rigid plate. The outside and inside diameters of the tube are 3.0 and 2.75 in., respectively. A concentric solid circular bar B of 1.5 in. diameters is mounted inside the tube. When no load is present, there is a clearance c = 0.010 in. between bar B and the rigid plate. Both bar and tube are made of steel having an elastoplastic stress-strain diagram with E = 29000 ksi and σ_Y = 36 ksi.

(a) Determine the yield load P_Y and the corresponding shortening d_Y of the tube. 

(b) Determine the plastic load PP and the corresponding shortening dP of the tube.

(c) Construct a load-displacement diagram showing the load P as ordinate and the shortening d of the tube as abscissa.

Transcribed Image Text:

T P B T L B T