Cited by 17Structural Analysis and OptimizationSeismic and Structural Analysis of Tall BuildingsTopology Optimization in Engineering

Shaped beams: unlocking new geometry for efficient structures

Open access
Ismail, Mohamed A., Mayencourt, Paul L., Mueller, Caitlin T.·2021·Architecture, Structures and Construction

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1007/s44150-021-00003-y

Cites

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Algorithmic methods have been used to reduce required material quantities through the optimization of structural form.

    “Algorithmic methods have also been used to facilitate another approach for limiting embodied carbon in buildings: reducing required material quantities through the optimization of structural form (Mayencourt and Mueller 2020;Ismail, Mayencourt, and Mueller 2021).”

    From A digital circularity approach to leverage waste lumber in dowel-laminated timber slabs (2025) · cites this paper as Ismail, Mayencourt, and Mueller 2021

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

No references could be resolved yet.

Research works printed but not linked: 28

  1. De Wolf CEL (2017) Low carbon pathways for structural design: embodied life cycle impacts of building structures. Thesis, Massa- chusetts Institute of Technology. Accessed 27 Sept 2017. [Online]. http:// dspace. mit. edu/ handle/ 1721.1/ 111491
  2. Foraboschi P, Mercanzin M, Trabucco D (2014) Sustainable structural design of tall buildings based on embodied energy. Energy Build 68(Part A):254-269. https:// doi. org/ 10. 1016/j. enbui ld. 2013. 09. 003 · DOI
  3. Anderson S (2004) Eladio Dieste: innovation in structural art, 1st edn. Princeton Architectural Press, New York
  4. Muttoni A (2011) The art of structures: introduction to the func- tioning of structures in architecture. EPFL Press
  5. Opatowski I (1945) Cantilever beams of uniform strength. Q Appl Math 3(1):76-81
  6. Li JP , Gross WA (1955) Beams of uniform strength subjected to uniformly distributed load. Proceedings of the Iowa Academy of Science 62(1)
  7. Barnett RL (1963) Minimum-weight design of beams for deflec- tion. Trans Am Soc Civ Eng 128(1):221-255
  8. Haftka RT, Gürdal Z, Kamat MP (1990) Elements of structural optimization. Springer Netherlands, Dordrecht. [Online]. Available: https:// doi. org/ 10. 1007/ 978-94-015-7862-2. Accessed 20 Nov 2018 · DOI
  9. Haug EJ Jr, Kirmser PG (1967) Minimum weight design of beams with inequality constraints on stress and deflection. J Appl Mech 34(4):999-1004. https:// doi. org/ 10. 1115/1. 36078 69 · DOI
  10. Dupuis G (1971) Optimal design of statically determinate beams subject to displacement and stress constraints. AIAA J 9(5):981-984
  11. Heyman J (1959) On the absolute minimum weight design of framed structures. Q J Mech Appl Math 12(3):314-324. https:// doi. org/ 10. 1093/ qjmam/ 12.3. 314 · DOI
  12. Barnett RL (1966) Survey of optimum structural design. Exp Mech 6(12):19A-26A
  13. Maki AC, Kuenzi EW (1965) Deflection and stressses of tapered wood beams. Forest Products Laboratory 20. Paglietti A, Carta G (2009) Remarks on the current theory of shear strength of variable depth beams. Open Civ Eng J 3(1):28-33
  14. Haftka RT, Grandhi RV (1986) Structural shape optimization-a survey. Comput Methods Appl Mech Eng 57(1):91-106
  15. Imam MH (1982) Three-dimensional shape optimization. Int J Numer Methods Eng 18(5):661-673
  16. Braibant V, Fleury C (1984) Shape optimal design using B-splines. Comput Methods Appl Mech Eng 44(3):247-267
  17. Veenendaal D, Coenders J, Vambersky J, West M (2011) Design and optimization of fabric-formed beams and trusses: evolution- ary algorithms and form-finding. Struct Concr 12(4):241-254
  18. Orr JJ, Darby A, Ibell T, Evernden M (2014) Design methods for flexibly formed concrete beams. Proc Inst Civ Eng -Struct Build 167(11):654-666
  19. Powell MJD (2007) A view of algorithms for optimization without derivatives. Cambridge University Technical Report DAMTP, p 12
  20. Barnhill RE (1977) Representation and approximation of surfaces. In: Rice JR (ed) Mathematical software, Elsevier, pp 69-120. https:// doi. org/ 10. 1016/ B978-0-12-587260-7. 50008-X · DOI
  21. Taylor JE (1969) Maximum strength elastic structural design. J Eng Mech Div 95(3):653-664
  22. Makky SM, Ghalib MA (1979) Design for minimum deflection. Eng Optim 4(1):9-13
  23. Ismail MA, Mueller CT (2019) A platform of design strategies for the optimization of concrete floor systems in India. In: Cruz PJS (ed) Structures and architecture: bridging the gap and crossing borders, 1st edn. CRC Press, pp 399-408. https:// doi. org/ 10. 1201/ 97813 15229 126-47 · DOI
  24. Paolini A, Kollmannsberger S, Rank E (2019) Additive manufac- turing in construction: a review on processes, applications, and digital planning methods. Addit Manuf 30:100894. https:// doi. org/ 10. 1016/j. addma. 2019. 100894 · DOI
  25. Huang Y, Garrett CR, Mueller CT (2018) Automated sequence and motion planning for robotic spatial extrusion of 3D trusses. Constr Robot. https:// doi. org/ 10. 1007/ s41693-018-0012-z · DOI
  26. Ismail MA, Mueller CT (2021) Minimizing embodied energy of reinforced concrete floor systems in developing countries through shape optimization. Eng Struct 246:112955. https:// doi. org/ 10. 1016/j. engst ruct. 2021. 112955 · DOI
  27. Hawkins WJ et al (2016) Flexible formwork technologies-a state of the art review. Struct Concr 17(6):911-935
  28. Rozvany GIN (1976) Optimal design of flexural systems. Elsevier. https:// doi. org/ 10. 1016/ C2013-0-02754-5 · DOI

Cited by

Sorted by citations

Authors
Ismail, M. A., Mayencourt, P. L., & Mueller, C. T.
Affiliations
Massachusetts Institute of Technology (US)
Corresponding author
Ismail, Mohamed A.
Venue
Architecture, Structures and Construction
Published
2021-09-06
Volume
1
Issue
1
Pages
37-52
ISSN
  • 2730-9886 (ISSN-L)
  • 2730-9894
OpenAlex
W3197877224
Cited by
17
References
0
Citations by year
2026: 3 · 2025: 7 · 2024: 3 · 2023: 4
FWCI
0.90
Type
journal article
Language
en
Open access
Locations
  • Architecture Structures and Construction (publishedVersion)
  • DSpace@MIT (Massachusetts Institute of Technology) (submittedVersion, cc-by-nc-sa)
Funders
Massachusetts Institute of Technology
Topics
  • Physical Sciences › Engineering › Civil and Structural Engineering › Structural Analysis and Optimization
  • Physical Sciences › Engineering › Civil and Structural Engineering › Seismic and Structural Analysis of Tall Buildings
  • Physical Sciences › Engineering › Civil and Structural Engineering › Topology Optimization in Engineering
Keywords
shaped beams, floor beams, floor slabs, embodied energy, embodied carbon, high-rise buildings, structural efficiency, material efficiency

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review