Theoretical Examination of Initially Bent Piles

"Abstract In Scandinavia the use of steel pipe piles in bridge foundations started in the mid-1980s and has increased steadily since. As the piles driven in soft soils are slender, they can fail by buckling. Buckling usually requires taking into account the second order effect in structural and geotechnical design.The purpose of this paper is to derive formulas for demonstrating the theory behind the formulas given in literature for the second order effect of initially bent piles.IntroductionIn Scandinavian countries solid bedrock usually lies at moderate depth. If the bridge site is in an area where the soil above the bedrock is soft, the bridge is usually founded on end-bearing piles resting on the bedrock.The main purpose of the piles is to transfer axial forces into bearing soil. Like columns, piles can lose their stability by buckling when surrounded by soft soil. When axial compression on a slender, initially straight, pile reaches a particular value called the critical load, the pile is subjected to lateral deflection and loses stability. The soil around the pile suffers a corresponding deformation. This soilstructure interaction increases the critical load compared to a pile without surrounding soil.It is very unlikely that piles are ideally straight. Initial curvature along with curvature and deviation caused by the installation of piles causes bending moments to the pile when normal force is applied. These lateral displacements increase when normal force increases. This increase of moment is called asecond order effect.Eurocode and literatureEurocode 7 includes guidelines for the design of piles (Eurocode 3, section 5 includes design of steel piles). However, there are no clear guidelines for considering the second order effects related to piles surrounded by soil. Eurocodes advise doing structural design of piles the same way as in the case of columns. With columns, the second order effect is taken into consideration by multiplying the first order moment with the factor shown below (SFS EN-1992-1-1, 2005):"