Stress-strain state of enclosing rock mass around an arbitrary cross-section excavation by measurement of displacements of the excavation walls

2014 ◽  
Vol 50 (1) ◽  
pp. 18-24 ◽  
Author(s):  
A. I. Chanyshev ◽  
I. M. Abdulin
Keyword(s):  
Rock Mass ◽  
Cross Section ◽  
Strain State ◽  
Arbitrary Cross Section ◽  
Stress Strain ◽  
Stress Strain State

scholarly journals A transient dynamic process in a structural nonlinear system “beam – two-parameter foundation”

2020 ◽  
Vol 310 ◽  
pp. 00007
Author(s):  
Vladimir Gordon ◽  
Pavel Morrev ◽  
Olga Pilipenko
Keyword(s):  
Cross Section ◽  
Strain State ◽  
Shear Stiffness ◽  
Arbitrary Cross Section ◽  
Forced Oscillations ◽  
Stiffness Parameter ◽  
Stress Strain ◽  
Stress Strain State ◽  
Internal Forces ◽  
Two Parameter

A method for analytical assessment of dynamic added stress in elastic loaded beam resting on elastic two-parameter Pasternak’s foundation due to sudden destruction a part of foundation is proposed. Equations of static bending, natural and forced oscillations are written in a matrix form using state vectors including deflection, rotational angles, bending moments, and shear forces at arbitrary cross section of a beam and also using the matrices of the initial parameters influence on the stress-strain state in arbitrary cross section. The influence of foundation failure on beam’s stress-strain state, taking into account a relation between the stiffness parameters of foundation, is analyzed. The condition of smallness for the shear stiffness parameter (Pasternak’s parameter) in comparison with the stretching-compressing stiffness parameter (Vinkler’s parameter) is accepted. It is shown that the accounting of Pasternak’s parameter reduces the level of dynamic added stress in a beam when sudden destructing of a foundation. The factor of sudden defect occurrence in the system “beam – foundation” increases considerably the internal forces in a beam in comparison with quasistatic formation of the same defect.

scholarly journals Theory of “dissolution” and “condensation” of the physical geometric characteristics of an arbitrary cross-section under the action of torsion with bending

2019 ◽  
Vol 15 (4) ◽  
pp. 261-270
Author(s):  
Vladimir I. Kolchunov ◽  
Aleksej I. Demyanov ◽  
Nikolay V. Naumov
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Strain State ◽  
Rectangular Cross Section ◽  
Arbitrary Cross Section ◽  
Large Circle ◽  
Stress Strain ◽  
Cross Sectional ◽  
Tangential Stresses ◽  
Stress Strain State

Aim of research - to continue the development of methods for determining the stress-strain state of rods during torsion using materials resistance methods. Methods. A new approach for determining tangential torsional stresses for arbitrary cross sectional rods, based on simplified assumptions of material resistance, is proposed. The main feature of this approach is the approximation of rectangular or any complex cross section of reinforced concrete structures by describing a large circle around the cross section and splitting it into small squares with circles inscribed into them. Results. Three theorems have been formulated, the first of which relates the accumulation of tangential stresses (increments) from the edges of a rectangle to the middle of a rectangular section with the formula for determining tangent stresses for round sections. The second theorem allows to establish a connection between the tangential stresses calculated for each of the small squares-circles and the tangent stresses of the large circle through their increments. The third theorem makes it possible to find tangential stresses for each of the small square circles. The proposed approach allows to remove the need to use special tables for the calculation and not only in the elastic stage. It also makes it possible to separate the stress-strain state in the whole set of round cross-sections from the additional field caused by the deplanation of the rectangular cross-section. In addition, the proposed approach makes it possible to take into account the concentration of angular deformations in the incoming angles and other places with changing geometric parameters.

scholarly journals Research into stress-strain state of the rock mass condition in the process of the operation of double-unit longwalls

2020 ◽  
Vol 14 (2) ◽  
pp. 85-94
Author(s):  
Roman Dychkovskyi ◽  
Iaroslav Shavarskyi ◽  
Pavlo Saik ◽  
Vasyl Lozynskyi ◽  
Volodymyr Falshtynskyi ◽  
...  
Keyword(s):  
Rock Mass ◽  
Strain State ◽  
Stress Strain ◽  
Stress Strain State ◽  
Rock Mass Condition
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