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Parabolic Method

Settlement of terrain behind the shoring structure is calculated according to the following formula in case of parabolic method:

where:

δmax

-

maximum settlement

sw

-

area formed by deformed structure and un-deformed structure

x0

-

range of settlement

δ(x)

-

settlement at each point within the range of settlement x0 in distance x

x

-

distance between the calculation point and the edge of the foundation pit

δw1

-

horizontal displacement at the top of the structure

δw2

-

horizontal displacement at the bottom of the structure

Note: δmax is calculated from Peck theory, while δ(x) is assumed as a parabolic curve. It’s obvious that the maximum value of δ(x) is not equal to δmax, but the maximum settlement is still considered as δmax.

Note: Calculation method for the range of settlement x0 is as same as in case of triangle method.

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