In Hiley’s formula for driven piles i.e. R=E/(s+0.5c), why is a coefficient of 0.5 applied for the term elastic deformation of piles and soil?

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter18: Pile Foundation
Section: Chapter Questions
Problem 18.21P: Refer to Figure 18.26b. Let L = 15.24 m, fill = 17.29 kN/m3, sat(clay) = 19.49 kN/m3, clay = 20, Hf...
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In Hiley’s formula for driven piles i.e. R=E/(s+0.5c), why is a coefficient of 0.5 applied for the term elastic deformation of piles and soil? 

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