The problem of the bending of a beam lying on an elastic base |
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| Institution: | 1. Sidi Mohamed Ben Abdellah University, Department of Mathematics, Faculty of Sciences Dhar Elmahraz, B.P. 1796, Atlas, 30000 Fez, Morocco;2. Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Viet Nam;3. Private University of Fez, Morocco;4. Department of Medical Research, China Medical University Hospital, Taichung 40402, Taiwan;5. École Normale Supérieure, Moulay Ismail University of Meknès 50000, Morocco;6. Department of Mathematics and International College of Engineering, Near Kanota, Agra Road, Jaipur-303012, Rajasthan, India;1. Trinity Centre for Bioengineering, Trinity College Dublin, Dublin, Ireland;2. School of Engineering, Trinity College Dublin, Dublin, Ireland;3. School of Engineering, National University of Ireland Galway, Galway, Ireland |
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| Abstract: | The plane contact problem of the transmission of a normal force of specified strength onto an elastic anisotropic, wedge-shaped plate by an elastic beam of variable flexural stiffness is considered. The beam is coupled to one of the edges of the plate and its other edge is stress-free. The solution of the problem is obtained in closed form by reducing it to a Karleman boundary-value problem with shear for a strip. A conclusion is reached concerning the nature of the discontinuity of the normal contact stress at the vertex of the wedge. |
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