S - Kam Ng PhD Dissertation Final.pdf - Digital Repository of CCEE ...

41,( ) ( ) - (2.17)( ) ( ) ( ) (2.18)( ) ( ) ( ) (2.19)where,D md md * mg∆tW mR mK mv mR pD pJv pq sq Tn= displacement along pile segment m at time interval n, m or ft,= displacement along pile segment m at time interval n-1, m or ft,= displacement along pile segment m at time interval n-2, m or ft,= acceleration due to gravity, m/s 2 or ft/s²,= time interval used in calculation, sec,= pile weight, kN or kip,= shaft resistance along pile segment m at time interval n, kN or kip,= pile spring constant, kN/m or kip/ft,= ground plastic side displacement at time interval n, m or ft,= ground spring constant along pile segment m, kN/m or kip/ft,= damping constant applicable to resistance along a pile, s/m or s/ft,= instantaneous velocity along pile segment m at time interval n-1, m/s or ft/s,= toe resistance at the pile point, kN or kip,= pile toe displacement at time interval n, m or ft,= ground displacement at pile toe at time interval n, m or ft,= ground spring constant at pile toe, kN/ft or kip/ft,= damping constant applicable to pile toe, s/m or s/ft,= instantaneous velocity at pile toe in time interval n-1, m/s or ft/s,= soil quake along a pile shaft, m or ft,= soil quake at a pile toe, m or ft,= time interval for which calculations are being made, andm = subscript denoting the general pile segment m.