Issue: 4(35), 2014. Series: Multi-Topic

OPTIMUM SIZES OF CROSS SECTIONS OF VARIOUS DEVELOPMENTS AND GENERAL FORMULAS FOR THE DETERMINATION OF TANGENTIAL TENSION ON THEIR CONTOURS

UDK: 624.131

Bogomolov A. N., Tsvetkova E. V.

The functions mapping an interior of unit disk on exterior of different openings in the infinite plane are given. This function is used when finding solution to the tasks of the elasticity theory for underground buried enough soil developments when determining their rational cross sections. The impact of linear sizes of cross sections of the developments, as well as lateral pressure coefficient of the undisturbed massif of rocks on the size of contour tension is analyzed. In particular, schedules for the determination of optimum sizes of sections of various developments depending on the size of lateral pressure coefficient are provided.

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