
The analytical solution can be used for any arbitrary load distribution over a beam-on-elastic foundation. In this work an analytical model using beam-on-elastic-foundation has been developed and Laplace transform has been utilized to find the solution and apply free-end boundary conditions.

The load distribution tends to become more uniform with increasing timber-mat or slab stiffness. Load distribution under a timber-mat or flexible slab is a function of the slab to soil stiffness ratio. timber mat, flexible slab) load distribution over the ground surface is not immediately known. When a temporary crossing has a continuous contact with soil, (e.g. Pipeline operators commonly use means of temporary crossing such as timber-mat, airbridge, and slab to reduce surface loading induced stresses in a buried pipeline at locations where a heavy vehicle crosses the buried pipeline.

Journal of Computational and Nonlinear Dynamics.Journal of Autonomous Vehicles and Systems.ASME Letters in Dynamic Systems and Control.ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering.Mechanical Engineering Magazine Select Articles.
