The Fourier sine transform method was implemented in this study to obtain general solutions for stress and displacement fields in homogeneous, isotropic, linear elastic soil of semi-infinite extent subject to a point load applied tangentially at a point considered the origin of the half plane. The study adopted a stress based formulation of the elasticity problem. Fourier transformation of the biharmonic stress compatibility equation was done to obtain bounded stress functions for the elastic half plane problem. Stresses and boundary conditions expressed in terms of the Boussinesq-Papkovich potential functions were transformed using Fourier sine transforms. Boundary conditions were used to obtain the unknown constants of the stress functions for the Cerrutti problem considered; and the complete determination of the stress fields in the Fourier transform space. Inversion of the Fourier sine transforms for the stresses yielded the general expressions for the stresses in the physical domain space variables. The strain fields were obtained from the kinematic relations. The displacement fields were obtained by integration of the strain-displacement relations. The solutions obtained were identical with solutions in literature obtained using Cerrutti stress functions.
 Apostol B.F. (2017). Elastic Displacement in a Half-Space under the action of a tensor force, General Solution for the Half Space with Point Forces, Journal of Elasticity Volume 126 pp. 231 – 244. DOI:10.1007/s10659-016-9592-3.10.1007/s10659-016-9592-3
 Apostol B.F. (2016). Elastic Equilibrium of the Half Space revisited, Mindlin and Boussinesq Problems, Journal of Elasticity. DOI: 10.1007/s10659-016-9574-5.10.1007/s10659-016-9574-5
 Nwoji C.U., Onah H.N., Mama B.O. and Ike C.C. (2017). Solution of the Boussinesq problem of half space using Green and Zerna displacement potential function method. The Electronic Journal of Geotechnical Engineering (EJGE) 22. 11 pp. 4305 – 4314, Available at ejge.com.
 Ike C.C., Mama B.O., Onah H.N. and Nwoji C.U. (2017). Tefftz Harmonic function method for solving Boussinesq problem. Electronic Journal of Geotechnical Engineering, (22.12) pp 4589 – 4601. Available at ejge.com.
 Nwoji C.U., Onah H.N., Mama B.O. and Ike C.C. (2017). Solution of elastic half space problem using Boussinesq displacement potential functions. Asian Journal of Applied Sciences (AJAS) Vol 5 No. 5. pp 1100 – 1106, October, 2017.
 Chan K.T. (2013). Analytic Methods in Geomechanics CRC Press Taylor and Francis Group, New York.
 Sadd M.H. (2014). Elasticity Theory Applications and Numerics, Third Edition, Elsevier Academic Press Amsterdam.
 Lurie S.A. & Vasilev V.V. (1995). The Biharmonic Problem in the Theory of Elasticity. Gordon and Breach Publishers, United States, United Kingdom.
 Sitharam T.G. & L. Govinda Reju L. (2017). Applied Elasticity for Engineers Module: Elastic Solutions and Applications in Geomechanics 18.104.22.168/nptel/1/CSE/web/10.5108070/module8/lecture 17/pdf.
 Hazel A. (2015). MATH 350211 Elasticity. www.maths.manchester.ac.uk/ahazel/MATHS. Nov 30, 2015.
 Palaniappan D. (2011). A general solution of equations of equilibrium in linear elasticity. Applied Mathematical Modelling, Elsevier 35 pp. 5494 – 5499.10.1016/j.apm.2011.01.041
 Padio Guidugli P. & and Favata A. (2014). The Cerrutti Problem: Elasticity for Geotechnicians. Solid Mechanics and its Applications SMIA 2014. Springer International Publishing, Switzerland. Pp 149 – 157.
 Teodorescu P.P. (2013). Treatise on Classical Elasticity Theory and Related Problems. Mathematical and Analytical Techniques with Applications to Engineering. Springer Dordrecht. DOI:10.1007/978-94-007-2616-1.10.1007/978-94-007-2616-1
 Love A.E. (1929). The stress produced in a semi-infinite solid by pressure on part of the boundary. Philosophical transactions of the Royal Society A Vol 228 No 659 – 669 pp 377 – 420.10.1098/rsta.1929.0009
 Ike C.C. (2006). Principles of Soil Mechanics, De-Adroit Innovation, Enugu.
 Bryant (2006). ME383s Contact www.me.utexas.edu/~bryant/courses/me383s/DownloadFiles/LectureNotes/Contact.