ABSTRACT

Linearly Increasing Vertical Loading Fig. 6.13(a) shows a linearly increasing vertical loading starting from zero at A to a finite value q per unit length at B. Consider an elementary strip of width db at a distance b from A. The load per unit length may be written as

dq = (q/a) b db If dq is considered as a line load on the surface, the vertical stress daz at P [Fig. 6.13(a)]

due to dq may be written from Eq. (6.4) as

(1) (2q) z 3b dbdCTz = -;; -;- [(x-b)2 +Z2y Therefore,

J (1) (2q ) bf=a z3b dba - da - - -z - z - a 1l [(x-b)2 +Z2]2 b=O

(6.25)

where Iz is non-dimensional coefficient whose values for various values of x/a and-zJa are given in Table 6.2.