ON THE DISTRIBUTION OF STRESSES ON THE CONTOURS OF SINGLE UNDERGROUND HORIZONTAL WORKINGS OF VARIOUS CROSS-SECTIONS SUBJECTED TO ALL-ROUND UNIFORM PRESSURE

The formula for normal tangential stresses single underground workings of different cross-sectional shapes, located at a given depth, with all-round tensile uniform pressure applied the points contours workings, is derived. As mapping function considered complex variable, which polynomial natural degree n pole first order in zero, allowing construction various families simple closed curves, simulating configurations workings. Examples are whose cross-section has form straight and inverse trapezoid, triangle, vaults vertical sloping walls, rhombus, rectangle, square ellipse. Based on method proposed by author, coefficients seventh degree, performs conformal interior unit circle plane trapezoidal hole dimensions, calculated. stress state constructed its contour depths laying, values two fixed lateral expansion coefficient rock investigated. graphical representations acting working question given. obtained results can be used to solve problems determining permissible mine calculating their contours. criterion these condition absence exceeding limits compressive strength host rock.