Question

A hollow circular tube T of length L = 15 in. is uniformly

compressed by a force P acting through a rigid plate (see

figure). 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. diameter is mounted inside the tube.

When no load is present, there is a clearance c _ 0.010

in. between the bar B and the rigid plate. Both bar and

tube are made of steel having an elastoplastic stress-

strain diagram with E = 29 x 103 ksi and 𝜎Y = 36 ksi.

(a) Determine the yield load PY and the corresponding

shortening ẟY of the tube.

(b) Determine the plastic load PP and the corresponding

shortening ẟP of the tube.

Answer 1

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