Calculation methods for plate and beam elements of box-type structure of building

Abstract

The article is devoted to the dynamic calculation of the box-type structure of buildings for seismic resistance, taking into account the spatial work of the box elements under the influence of dynamic impact. The development of spatial calculations and the study of vibrations of elements of box-type structures, considering various factors, is an urgent problem of structural mechanics. In this article, a mathematical model and a numerical-analytical method were developed to solve the problem of dynamics using the finite difference method and expand the solution in terms of natural vibration modes in the spatial setting for the elements of box-type structures under the kinematic impact. The steady-state forced vibrations of box-type structures under stationary harmonic influences applied to the structure foundation are investigated, and the areas are identified where the greatest values of shearing forces and bending moments occur under harmonic influences.

Calculation of compelled fluctuations of panel buildings

“…Let us compose the equations of motion for each plate and beam element of the box structure of the building [6][7][8]. Lamellar elements are considered to be thin elastic plates obeying the Kirchhoff-Law hypothesis.…”

“…The authors of this article have performed several works using the theory of thin plates [6][7][8] and the bimoment theory of thick plates [9][10][11][12][13][14]. Scientific articles [6][7][8] are devoted to improving the box-shaped model of the building structure, considering the contact conditions between the elements of the panel and beams. The equations of motion of the box elements and the graphs of the displacements of plates and beams are constructed.…”

Capillary permeability of concrete in aggressive dry hot climate

“…After 9.10.12 months of testing in sodium sulfate solution Rben of concrete specimens with cement consumption of 290.360 and 430 kg / m 3 and additives POLY-ANS 1, POLY-ANS 2, POLY-ANS 3 decreases by 50, 36, 24, respectively; 40, 31, 15; 35, 26, 12%, and in a sulfate-chloride solution at 55, 46, 29; 46, 37, 16; 42, 31, 15%, respectively (Figure -4). At the same time, concrete samples with a cement content of 290 kg / m 3 and additives had visible cracks due to expansion deformations from bulk crystallization pressure [13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Wave propagation in a cylindrical body in the presence of surface forces depending on the relative displacement

“…Coulomb friction with a constant coefficient 𝑓. Thus, the second term in model ( 8) determines the rate (criteria) of transition to relations (9), where the shear stress does not depend on the relative displacement. As seen in Fig.…”

“…the forces acting on the outer surface of an extended body are included in the equations of motion [1][2][3][4]. Many problems [5][6][7][8][9], applied in the field of seismic resistance of underground pipelines, were solved in this formulation, with various types of external frictions.…”