79:, nano-I-beams exhibit higher structural stiffness, reduced induced stress, and longer service life. They have the potential to outperform carbon nanotubes in various applications, offering enhanced mechanical properties and improved functionality. The Wide Flange Nano-I-beam variation has been found to provide even higher structural stiffness and longer service life compared to the Equal Flange & Web Nano-I-beam.
354:
126:, is employed to determine the equilibrium state and minimize the energy functional of a conservative structural system undergoing kinematically admissible growth or deformation. Hamilton's principle considers the interplay of different energy elements, including the kinetic energy (T), strain energy (U), and potential energy (WP). By applying the Ritz method based on Hamilton's principle, the strain energy
135:
65:
99:. The I-beam, also known as the H-beam or universal beam, is a widely used structural element due to its high strength-to-weight ratio and structural stability. The shape of the I-beam, with its central vertical web and horizontal flanges, provides excellent load-bearing capabilities and resistance to bending and torsion.
577:
Ultimately, the choice between CNTs and Nano-I-beams depends on the specific requirements of the application, considering factors such as scale, performance needs, and cost-effectiveness. Each material has its own strengths and limitations, and the selection should be based on a careful evaluation of
546:
Both CNTs and I-beams have distinct properties and advantages, and their suitability depends on the specific application and requirements. CNTs offer exceptional mechanical properties, including high tensile strength and stiffness. They have a high strength-to-weight ratio, making them lightweight
358:
When considering the kinetic energy, observations are often made in a moving frame of reference. To account for this, the time derivative of the observed variables in the fixed frame of reference (ρ, θ, z) is utilized. As a result, the formulation of the kinetic energy, denoted as T, takes into
54:
349:{\displaystyle U={\int }_{V}({\sigma }_{\rho }{\epsilon }_{\rho }+{\sigma }_{\theta }{\epsilon }_{\theta }+{\sigma }_{z}{\epsilon }_{z}+{\sigma }_{\rho \theta }{\epsilon }_{\rho \theta }+{\sigma }_{\rho z}{\epsilon }_{\rho z}+{\sigma }_{\theta z}{\epsilon }_{\theta z})dV}
570:, reduced induced stress, and an extended service life when compared to the Equal Flange & Web Nano-I-Beam. This distinction makes the Wide Flange variation particularly desirable for various applications, including
102:
Inspired by the structural properties of I-beams, the nano-I-beam was developed as a nanoscale counterpart, utilizing the same I-shaped cross-section. The nano-I-beam inherits the geometric characteristics of the
537:
563:. However, challenges in large-scale production, potential toxicity concerns, and difficulties in achieving uniform dispersion within materials are some drawbacks associated with CNTs.
566:
Among the variations of the Hybrid
Organic/Inorganic Nano-I-beam, research highlights the good performance of the Wide Flange Nano-I-Beam. It demonstrates decent
913:"A Review and Study on Ritz Method Admissible Functions with Emphasis on Buckling and Free Vibration of Isotropic and Anisotropic Beams and Plates"
671:
122:, based on the shell theory, is frequently utilised for dynamic analysis of carbon nanotubes (CNTs). The Ritz method, connected to
364:
999:
Wang, Fei; Zhao, Siming; Jiang, Qinyuan; Li, Run; Zhao, Yanlong; Huang, Ya; Wu, Xueke; Wang, Baoshun; Zhang, Rufan (2022-08-17).
695:
31:
960:"Rayleigh-Ritz Vibrational Analysis of Multiwalled Carbon Nanotubes Based on the Nonlocal Flügge Shell Theory"
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595:
Barretta, Raffaele; Čanađija, Marko; Luciano, Raimondo; Marotti de
Sciarra, Francesco (2022-10-01).
46:
materials and have unique properties that make them suitable for various applications in structural
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I-beam, but at a much smaller scale, making it suitable for applications in the realm of
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and sensors as an attractive option for cost-effective and high-performance material.
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1042:
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872:
658:, Woodhead Publishing Series in Biomaterials, Woodhead Publishing, pp. 275–301,
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47:
23:
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92:
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650:(2013-01-01), Gaharwar, A. K.; Sant, S.; Hancock, M. J.; Hacking, S. A. (eds.),
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119:
1025:
911:
Moreno-García, Pablo; dos Santos, José V. Araújo; Lopes, Hernani (2018-07-01).
831:"Finite Element Model for the Optimization of Steel I-Beam with Variable Depth"
784:
744:
928:
1034:
985:
936:
864:
752:
696:"Carbon nanotubes – what they are, how they are made, what they are used for"
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1001:"Advanced functional carbon nanotube fibers from preparation to application"
912:
770:
976:
959:
829:
Mohammedali, T K; Mohammed, A H; Khalaf, R D; Sammen, S Sh (2021-02-01).
88:
69:
721:"Hybrid Organic/Inorganic Nano-I-beam for Structural Nano-mechanics"
130:
of Single & Multi-Walled Nano-I-beams (SWNT) is formulated as:
63:
52:
64:
578:
the desired properties and constraints of the project at hand.
785:"I-Beam vs H-Beam: What İs the Difference? - Yena Engineering"
532:{\displaystyle T={\frac {1}{2}}\,\gamma {\int }_{V}^{V}\,dV}
38:
in macroscopic scale. They are typically made from hybrid
958:
Rouhi, H.; Bazdid-Vahdati, M.; Ansari, R. (2015-12-27).
835:
IOP Conference Series: Materials
Science and Engineering
806:"Why Are I Beams Used in Structural Steel Construction?"
367:
138:
597:"On the mechanics of nanobeams on nano-foundations"
652:"10 - Nanomaterials for neural tissue engineering"
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348:
917:Archives of Computational Methods in Engineering
8:
601:International Journal of Engineering Science
555:, making them suitable for applications in
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547:yet strong. CNTs also exhibit excellent
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719:Elmoselhy, Salah A. M. (2019-12-04).
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656:Nanomaterials in Tissue Engineering
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114:Kinetics and growth of nano-I-beam
14:
87:Nano-I-beams are named after the
856:10.1088/1757-899X/1076/1/012100
887:"Nanotechnology | NIOSH | CDC"
613:10.1016/j.ijengsci.2022.103747
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359:account these considerations.
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57:Rotating single-walled zigzag
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1005:Cell Reports Physical Science
642:Marti, M. E.; Sharma, A. D.;
664:10.1533/9780857097231.2.275
542:Application and suitability
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1026:10.1016/j.xcrp.2022.100989
745:10.1038/s41598-019-53588-2
929:10.1007/s11831-017-9214-7
68:Typical cross-section of
75:Compared to traditional
34:, resembling the letter
847:2021MS&E.1076a2100M
26:characterized by their
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97:structural engineering
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964:Journal of Composites
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16:Type of nanostructure
810:blog.swantonweld.com
568:structural stiffness
553:thermal conductivity
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124:Hamilton's principle
1017:2022CRPS....300989W
977:10.1155/2015/750392
737:2019NatSR...918324E
648:Mallapragada, S. K.
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83:Origin of the name
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32:cross-section
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787:. 2022-05-11
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20:Nano-I-beams
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891:www.cdc.gov
557:electronics
120:Ritz method
105:macroscopic
897:2023-05-27
815:2023-05-27
791:2023-05-27
705:2023-05-27
679:2023-05-27
607:: 103747.
582:References
549:electrical
1043:251206127
1035:2666-3864
986:2356-7252
945:255410161
937:1886-1784
873:234048784
865:1757-8981
753:2045-2322
629:252290748
621:0020-7225
501:∂
493:∂
463:∂
455:∂
425:∂
417:∂
391:∫
386:γ
330:θ
325:ϵ
315:θ
310:σ
297:ρ
292:ϵ
282:ρ
277:σ
267:θ
264:ρ
259:ϵ
252:θ
249:ρ
244:σ
229:ϵ
217:σ
207:θ
202:ϵ
195:θ
190:σ
180:ρ
175:ϵ
168:ρ
163:σ
148:∫
44:inorganic
1057:Category
970:: 1–11.
771:31797945
91:used in
30:-shaped
1013:Bibcode
843:Bibcode
762:6893021
733:Bibcode
89:I-beams
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968:2015
933:ISSN
861:ISSN
839:1076
767:PMID
749:ISSN
668:ISBN
617:ISSN
559:and
551:and
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95:and
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