ABSTRACT

Fig. 6.4(a) shows a load q per unit area acting on a strip of infinite length and of constant width B. The vertical stress at any arbitrary point P due to a line load of qdx acting at x =xcan be written from Eq. (6.4) as

(6.5) 2q Z3

Applying the principle of superposition, the total stress O"z at point P due to a strip load distributed over a width B(= 2b) may be written as

The non-dimensional values of O"!q are given graphically in Fig. 6.5. Eq. (6.6) can be expressed in a more convenient form as

Figure 6.4 Strip load

(o!q) x 10 00 2 3 4 5 6 7 8 9 10

Figure 6.5 Non-dimensional values of a!q for strip load

where (3 and 8 are the angles as shown in Fig. 6.4(b). Equation (6.7) is very convenient for computing az' since the angles {3 and 8 can be obtained graphically for any point P. The principal stresses at and a3 at any point P may be obtained from the equations.