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Shell and Membrane Structures

Schalen und Membranen

6 CPevery semesterENno longer offered

Contents

• Structural behaviour of shell structures, assumption of technical shell theory, membrane theory of revolving shells, bending theory of cylindrical shells, solution of selected structural shell problems, derivation of a finite element for revolving shells • Minimal surfaces, Linearisation (Force density method), geometric nonlinearity of deformations, Eigenfrequencies, Optimisation of Topology- and Boundary conditions, specifics of construction and detailing; special aspects of using Finite-Element software for structural analysis of shells

Learning outcomes

Basic knowledge of Structural analysis and design of shells, shaped with simple structures, ability for the formulation and solution of the principal differential equations. Application • Modelling of more complex structures and structural analysis by application of Finite-Element software within a project.Abilities • Getting well known, how to develop a suitable shape of shell in compliance with the used building material

Assessment

• Oral examination, 90 min.

Literature (4)
  • Hake, Meskouris, Statik der Flächentragwerke, Springer Verlag Berlin, 2001
  • Dierkes, U., u.a.: Minimal surfaces I and II. Grundlehren der mathematischen Wissenschaften 295-296, Springer, Berlin, Heidelberg, 1992
  • Linkwitz, K. and Schek, H.-J.: Einige Bemerkungen zur Berechnung von vorgespannten Seilnetzkonstruktionen, Ingenieur Archiv, 40, S. 145-158, 1971
  • Schock, H.-J., Sails, Foils and Membranes: Innovative Structures in Textile Architecture, Birkhäuser, Basel, 1997

Remarks

SS1 In the event that the module cannot be taught or tested according to the present description (e.g. for reasons of infection protection), the alternatives communicated on relevant platforms (e.g. homepage or Moodle) apply.

Source: BTU's module description · retrieved 15 Oct 2026Original

Module catalogue · unofficial

Betula is an unofficial project and not part of BTU.

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Data as of 21 Oct 2026Winter 2026/27Source: BTU