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

Czesław Machelski

Czesław Machelski

Department of Bridges and Railways, Faculty of Civil Engineering, Wroclaw University of Science and Technology
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Machelski, Czesław
  
26 cze 2020
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Kategoria artykułu: Research Article
Data publikacji: 26 cze 2020
Zakres stron: 319 - 329
Otrzymano: 03 lut 2020
Przyjęty: 04 maj 2020
DOI: https://doi.org/10.2478/sgem-2019-0048
Słowa kluczowe
© 2020 Czesław Machelski, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1

Static scheme of an analysed beam system.
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.
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.
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.
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.
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.
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.
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.
Functions of the deformations of the circumferential band of the shell.

Figure 9

Radial displacements in the circumferential band of the shell during construction phase B.
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.
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.
The diagram of displacements (curvature changes) in the circumferential bands of the shells.

List of the analysed static quantities_

Beam divisionAnalysed quantityType of load
Scheme
two sections c = L/2w2ML28EI{{ML^2 } \over {8EI}}5qL4384EI{{5qL^4 } \over {384EI}}PL348EI{{PL^3 } \over {48EI}}
M2MqL28{{qL^2 } \over 8}PL4{{PL} \over 4}
M2(FEM)M5qL248{{5qL^2 } \over {48}}PL6{{PL} \over 6}
η216/53/2
w13ML232EI{{3ML^2 } \over {32EI}}5716qL4384EI{{57} \over {16}}{{qL^4 } \over {384EI}}1116PL348EI{{11} \over {16}}{{PL^3 } \over {48EI}}
four sections c = L/4M1M23qL2192{{23qL^2 } \over {192}}PL8{{PL} \over 8}
M2(FEM)MML28EI{{ML^2 } \over {8EI}}5PL24{{5PL} \over {24}}
M1(FEM)M17qL2129{{17qL^2 } \over {129}}PL8{{PL} \over 8}
η2124/236/5
η1118/171

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
Język:
Angielski
Częstotliwość wydawania:
4 razy w roku
Dziedziny czasopisma:
Nauki o Ziemi, Nauki o Ziemi, inne, Nauka o materiałach, Kompozyty, Materiały porowate, Fizyka, Mechanika i dynamika płynów
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