settlement_of_shallow_foundations_on_granular_soils (Lutenegger ang DeGroot)

settlement of each layer. The layer strain, E, is determined according to:
E,= qjE,
[4.6]
where:
q, = applied stress at the midpoint of the layer
E, = modulus of elasticity
The total settlement is obtained from:
s = l: E,h,
or s = l:( q/E,)h,
[4.7]
[4.8]
where:
s = settlement
h, =thickness of individual layers
The CFM indicated that "for most practical applications, the stress distribution can be calculated
according to the 2:1 method." According to the 2:1 distribution, for a footing of width B and length
L, with an applied foundation stress of q, the corresponding stress at a depth z is:
q, = [q 0
BL]/[(B+z)(L+z)] [4.9]
For an infinitely long (strip) footing, Equation 4.9 becomes:
q, = (qaB)/(B + z) [ 4.1 0]
For a more refined analysis, the CFM presents a form of the general elastic solution for calculating
settlement as:
where:
s = settlement
qo = applied net footing stress
B = footing width
E, = apparent modulus elasticity
i, = influence factor
[4.11]
22