Analytic Solution of the Plane Problem of the Theory of Elasticity for a Nonuniform Strip

We construct the analytic solution of the plane problem of the theory of elasticity in stresses for a strip nonuniform across the width. To deduce the key equations, we perform the direct integration of the original differential balance and continuity equations. In the space of Fourier transforms, the key equations are reduced to an integral Volterra equation of the second kind, which is solved by the method of successive approximations.__________Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 41, No. 1, pp. 114–116, January–February, 2005.