Contact problem of elasticity for a strip places on supports (Q2759530)

Contact problem of elasticity for a strip placed on two supports and loaded along the boundary \(y=0\) by a rigid parabolic stamp and by arbitrary forces \(X_j\), \(Y_j\) at points \((a_j, b_j)\) is considered. Tangential stresses in the contact zone are zero. An integral equation for contact pressure is derived. Using the Lobatto quadrature formula, the equation is reduced to a linear system of algebraical equations. Results of calculations show that for large contact zones, stamp is separated from the strip at internal points. In such cases bounds of contact zone become unknown and should be determined from the condition of boundedness of contact pressure. An example of calculations is presented.