solid cylinder has radius A and length L, its axis3coincides with the -axis and its ends lie in the planes = 0 and 3 = . 3 The cylinder is subjected to simultaneous axial tension, bending, and torsion, such that the Cauchy stress tensor T is given by where , , , are constants. 2 1 +1 +2 The Rivlin-Ericksen tensors 1, 2, ... are defined by = T()1, = 1,2,... 0 0 2 ()=0 0 1 (a) Verify that in the absence of body forces, the cylinder is under equilibrium (i.e. acceleration = ). (b) Verify that no traction acts on the curved external surface of the cylinder (c) Find the 3 components of the traction vector on the top surface at 3 = 0 in the 5 points P in the Figure (PO, PB, PT, PL, and PR). (d) Show that the resultant force on this face is an axial force of magnitude 2 (Tip: you need to integrate the traction field t(x1,x2, x3=0) over the circle