v i + i = Vi + v.inlfp. v) {[ w " v *J " [t v i 2 A f c d Pi] 



A 5-> 



A r N + 

 f c 



ti 



1 + — 



-i- + 0.06 



(3-2) 



where i = subscript to indicate the i increment of depth 



M = penetrator mass 



p. = mass density of penetrated medium 



V = volume of penetrator 



W = penetrator weight 



y. = unit weight of penetrated medium 



A = penetrator frontal area 



= inertial drag coefficient 



= soil undrained shear strength 



= bearing capacity factor 



= side area of penetrator 



= side adhesion factor 



= soil sensitivity 



t = penetrator thickness 



S * = empirical maximum soil strain rate factor 



O = empirical soil strain rate factor 



D 



°ui 



N 

 c 



A 

 s 



6* 



Sufficient accuracy is obtained when about 10 increments of depth 

 are used to arrive at a velocity less than zero. To begin the iterative 

 procedure set i = 1 and v. = v„ and solve Equation 3-2 for v„. Then 



re-evaluate v.. as 



'0 + V 2 



(3-3) 



and solve Equation 3-2 again for i = 1 using this new value for v... 



Continue to iterate for i = 2, 3, ... until v. +1 ^ 0. The depth of 



embedment, D , can then be determined from 

 P 



34 



