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The Use of the Collocation Algorithm for Estimating the Deformations of Soil-Shell Objects Made of Corrugated Sheets Cover

The Use of the Collocation Algorithm for Estimating the Deformations of Soil-Shell Objects Made of Corrugated Sheets

Open Access
|Jun 2020

Figures & Tables

Table 1

List of the analysed static quantities.

Beam divisionAnalysed quantityType of load
Schemegraphic/j_sgem-2019-0048_ingr_001.pnggraphic/j_sgem-2019-0048_ingr_002.pnggraphic/j_sgem-2019-0048_ingr_003.png
two sections c = L/2w2ML28EI5qL4384EIPL348EI
M2MqL28PL4
M2(FEM)M5qL248PL6
η216/53/2
w13ML232EI5716qL4384EI1116PL348EI
four sections c = L/4M1M23qL2192PL8
M2(FEM)MML28EI5PL24
M1(FEM)M17qL2129PL8
η2124/236/5
η1118/171
Figure 1

Static scheme of an analysed beam system.

Figure 2

Diagram of the impact of filling, and also the deformation of the circumferential layers of the shell.

Figure 3

The diagrams of the bending moments and displacements calculated using the FEM model.

Figure 4

Distribution of differential coefficients along the length of the arch.

Figure 5

Geometry of the circumferential band of the shell: a) deformation of the shell, b) distribution of the deformations in the cross-section of the shell that is evaluated.

Figure 6

Scheme of the circumferential band of the shell with the collocation points.

Figure 7

Bending moments and radial displacements in the circumferential band of the shell when zg = H.

Figure 8

Functions of the deformations of the circumferential band of the shell.

Table 2

Comparison of the results of geodetic and strain gauge measurements.

Construction phaseABCDEF
κ(r)•10−3 [1/m]0.9855.7455.3023.6992.2481.936
κ(ε) 10−3 [1/m]0.8865.3635.0384.2762.4842.614
η0.8990.9330.9501.1561.1051.350
w [mm]34.792.328.8−46.8−89.4−116.3
zg [m]7.54/7.259.78/9.9910.44/11.0410.48/11.3211.07/11.9211.73/12.32
Figure 9

Radial displacements in the circumferential band of the shell during construction phase B.

Figure 10

Diagram of the displacements and bending moments of the shell in the radial direction.

Figure 11

The diagram of displacements (curvature changes) in the circumferential bands of the shells.

DOI: https://doi.org/10.2478/sgem-2019-0048 | Journal eISSN: 2083-831X (formerly 0137-124X) | Journal ISSN: 0137-6365
Language: English
Page range: 319 - 329
Submitted on: Feb 3, 2020
Accepted on: May 4, 2020
Published on: Jun 26, 2020
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services

© 2020 Czesław Machelski, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.