Show that Cerrutis problem of Fig. 13.3 is solved by the Galerkin vector and Lames potential specified

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Show that Cerruti’s problem of Fig. 13.3 is solved by the Galerkin vector and Lame´’s potential specified in relations (13.3.15). Develop the expressions for the Cartesian displacements and stresses:

P R U= "=+HAR [1 +  +(1-2) (~+2 (8+2F)] 4R R+z (R+z) Pxy 1 1-2v Px 12v V = -PR (= (R+2)+). " === (+1=) W 4R 4

Fig 13.3

y 1 1 Z P

Equation 13.3.15

V = AR, Vy = 0, V = Bxlog(R+z) Cx R+Z

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