STRESS-STRAIN STATE OF CRANE SECONDARY TRUSSES WITH HORIZONTAL BENDING
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Abstract
Crane secondary trusses perform the functions of crane and secondary structures. The lower chord of the truss is designed to resist torsion, vertical and horizontal bending forces. The aim of the study was to investigate the stress–strain state of the truss under horizontal bending conditions. The influence of geometric parameters on the horizontal flexibility and internal forces within the beam during horizontal bending was analyzed. Various techniques were employed to determine horizontal displacements, internal forces, and stresses in the beam due to the one-sided location of the crane and the braking of the crane trolley. Contributions from horizontal bending stresses to the overall stress state of the chord were demonstrated. Factors affecting the accuracy of calculations for horizontal bending were identified. The validity of the research findings was confirmed by comparing numerical calculation results with those from a field survey. The differences between the stress-strain states of the truss chord and the equivalent beam have been analyzed. It has been justified that a more accurate method for the preliminary calculation of the riding chord for horizontal bending needs to be developed. For verification calculations of the crane secondary truss, a spatial finite element shell calculation scheme should be used in specialized software systems. The stiffness of the truss chord during horizontal bending greatly exceeds that of the crane beam. When checking crane structures for deflections in the horizontal plane, deflections should be determined based on the braking forces from the trolley of a single crane acting across the path, as per the requirements of SP 20.13330.2016. When torsion occurs, the ride chord of the crane secondary truss undergoes a horizontal bending, therefore, when checking for horizontal maximum deflections, it is necessary to also take into account asymmetric vertical loads due to the one-sided arrangement of the crane.
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References
El`nov N.A. Kochetova E.A. Analiz primeneniya sistem tipa «podkranovo-podstropil`ny`e fermy`» v bol`sheproletny`x cexax odnoe`tazhny`x promy`shlenny`x zdanij [Analysis of the application of systems such as «crane secondary trusses» in large-span workshops of single-storey industrial buildings]. Trudy` nauchnogo kongressa 14-go rossijskogo arxitekturno-stroitel`nogo foruma [Proceedings of the scientific congress of the 14th Russian architectural and construction forum]. 2016, pp. 143–146. (In Russian)
Mentrasti L. Torsion of closed cross-section thin-walled beams: the influence of shearing strain. Thin-Walled Structures. 1987, vol. 5, No.4, pp. 277–305.
Mentrasti L. Distortion (and torsion) of rectangular thin-walled beams. Thin-Walled Structures. 1990, vol. 10, No. 3, pp. 175–193.
Rykaluk K. Fatigue hazards in welded plate crane runway girders-locations, causes and calculations. K. Rykaluk, K. Marcinczak, S. Rowiсski. Archives of Civil and Mechanical Engineering. 2018, No. 18, pp. 69-82.
Umanskij A.A. Kruchenie i izgib tonkostenny`x aviakonstrukcij [Torsion and bending of thin-walled aircraft structures]. M.: Oboronizdat, 1939, 112 p. (In Russian)
Vlasov V.Z. Stroitel`naya mexanika tonkostenny`x prostranstvenny`x system [Structural mechanics of thin-walled spatial systems]. M.: Gostexizdat, 1950, 695 p. (In Russian)
Vlasov V.Z. Izbranny`e trudy` [Selected works]. vol. 2 Tonkostenny`e uprugie sterzhni. Principy` postroeniya obshhej texnicheskoj teorii obolochek [Thin-walled elastic rods. Principles of construction of the general technical theory of shells]. M.: Izd-vo AN USSR [Publishing house AN USSR]. 1963, 328 p. (In Russian)
Lampsi B.B. Metallicheskie tonkostenny`e nesushhie konstrukcii pri lokal`ny`x nagruzkax [Thin-walled metal load-bearing structures under local loads]. M.: Strojizdat, 1979, 270 p. (In Russian)
Bejlin E.A. Variant edinoj teorii krucheniya tonkostenny`x sterzhnej otkry`togo, zamknutogo i chastichno zamknutogo profilej [A variant of the unified theory of torsion of thin-walled rods of open, closed and partially closed profiles]. Issledovaniya po mexanike stroitel`ny`x konstrukcij i materialov. Mezhvuzovskij tematicheskij sbornik trudov [Research on the mechanics of building structures and materials. Interuniversity thematic collection of works]. 1991, pp. 57-74. (In Russian)
Musat S.D., Epureanu B.I. Study of warping torsion of thin-walled beams with closed cross-section using macro-elements. Communications in Numerical Methods in Engineering. 1996, vol. 12, pp. 873–884.
Srinivasan V., Purushothaman T., Chatterjee S. Stress analysis of thin-walled circular and rectangular tubes subjected to torsion. International Journal of Mechanical Engineering and Technology. 2017, vol. 8, No. 8, pp. 1580–1587.
Doostfatemeh A., Hematiyan M., Arghavan S. Closed-form approximate formulas for torsional analysis of hollow tubes with straight and circular edges. Journal of Mechanics. 2009, vol. 25, No. 4, pp. 401–409.
Omidvari A., Hematiyan M. Approximate closed-form formulae for buckling analysis of rectangular tubes under torsion. International Journal of Engineering. 2015, vol. 28, No. 8, pp. 1226–1232.
Chiskis A., Parnes R. On torsion of closed thin-wall members with arbitrary stress-strain laws: a general criterion for cross-sections exhibiting no warping. Journal of Applied Mechanics. 2000, vol. 67, pp. 460–464.
Li L-Y., Easterbrook D. Free torsion of thin-walled structural members of open and closed-sections. Applied Mathematics and Mechanics. 2014, vol. 35, No. 1, pp. 25–32.
Rukovodstvo po proektirovaniyu stal`ny`x podkranovy`x konstrukcij [Guide to the design of steel crane structures]. M.: CzNIIProektstal`konstrukciya. 1976, 112 p. (In Russian)
Lampsi B.B. Ocenka vliyaniya osobennostej konstrukcii i nagruzki na napryazhennoe sostoyanie i prochnost` ezdovy`x poyasov sistem tipa podkranovo-podstropil`ny`x ferm: dis. kand. texn. nauk: 05.23.01, 01.02.03 [Assessment of the influence of design features and load on the stress state and strength of the riding chords of systems such as crane secondary trusses: thesis of candidate of technical sciences: 05.23.01, 01.02.03]. Lampsi Boris Borisovich. – Gor`kij: Gor`kovskij ordena trudovogo krasnogo znameni inzhenerno-stroitel`ny`j institut im. V.P. Chkalova [Gorky Order of the Red Banner of Labor V.P. Chkalov Institute of Civil Engineering]. 1983, 220 p. (In Russian)
Tusnina O.A. Opy`t zameny` nizhnego poyasa naxodyashhejsya pod nagruzkoj podkranovo-podstropil`noj fermy` [The experience of replacing the lower chord of a crane secondary truss under load. O.A. Tusnina, V.F. Takki, I.F. Egorov. Promy`shlennoe i grazhdanskoe stroitel`stvo [Industrial and civil engineering]. 2023, No. 4, pp. 21-28, doi: 10.33622/0869-7019.2023.04.21-28. (In Russian)
Markina Yu.D. Osobennosti raboty` podkranovo-podstropil`noj fermy` na gorizontal`ny`j izgib i kruchenie [Features of the crane secondary truss operation for horizontal bending and torsion]. Yu.D. Markina. Arxitekturno-stroitel`ny`j i dorozhno-transportny`j kompleksy`: problemy`, perspektivy`, innovacii: sbornik materialov VIII Mezhdunarodnoj nauchno-prakticheskoj konferencii [Architectural, construction and road transport complex: problems, prospects, innovations: collection of materials of the VIII International scientific and practical conference], Omsk, 23–24 noyabrya 2023 goda. Omsk, Izdatel`stvo SibADI. 2023, p. 669-672. (In Russian)
Markina Yu.D. Osobennosti staticheskogo raschyota podkranovo-podstropil`noj fermy` [Features of the static calculation of the crane secondary truss]. Yu.D. Markina. Mexanika kompozicionny`x materialov i konstrukcij, slozhny`x i geterogenny`x sred: sbornik trudov 13oj Vserossijskoj nauchnoj konferencii s mezhdunarodny`m uchastiem im. I.F. Obrazczova i Yu.G. Yanovskogo [Mechanics of composite materials and structures, complex and heterogeneous media: proceedings of the 13th All-Russian scientific conference with international participation named after I.F. Obraztsov and Yu.G. Yanovsky], Moskva, 14–16 noyabrya 2023 goda. Moskva: IPRIM RAN, Izdatel`stvo Obshhestvo s ogranichennoj otvetstvennost`yu "Sam Poligrafist" [Publishing house limited liability company "Sam Polygraphist"]. 2023, p. 113-120. (In Russian)
Eryomin K.I. Napryazhenno - deformirovannoe sostoyanie uzlov podkranovo-podstropil`ny`x ferm [Stress-strain state of crane secondary trusses]. K.I. Eremin, S.N. Shul`ga. Promy`shlennoe i grazhdanskoe stroitel`stvo [Industrial and civil engineering]. 2012, No. 4, pp. 52-54. (In Russian)
Lampsi B.B. Zhestkost` uzlov podkranovo-podstropil`noj fermy` v eyo ploskosti [Stiffness of the crane secondary truss nodes in its plane]. B.B. Lampsi, Yu.D. Markina. Stroitel`naya mexanika i konstrukcii [Construction mechanics and structures]. 2023, No. 4 (39), pp. 51–63. DOI 10.36622/VSTU.2023.39.4.006. (In Russian)
Lampsi B.B. Vliyanie vy`soty` podkranovo-podstropil`noj fermy` (PPF) na podatlivost` ezdovogo poyasa [The effect of the height of the crane secondary truss (CST) on the pliability of the riding chord]. B.B. Lampsi, Yu.D. Markina, P.A. Xazov. Privolzhskij nauchny`j zhurnal [Volga Scientific Journal]. 2023, No. 1 (65), pp. 28-34. (In Russian)
Markina Yu. D. Verification and refinement of the methodology for calculating the stiffness of crane secondary truss joints in its plane. Yu. D. Markina. Privolzhskij nauchny`j zhurnal [Volga Scientific Journal]. 2024, No. 1 (69), pp. 11-21.
Vliyanie zhestkosti e`lementov reshetki na podatlivost` ezdovogo poyasa podkranovo-podstropil`noj fermy` (PPF) [The effect of the rigidity of the lattice elements on the pliability of the crane secondary truss (CST) riding chord]. B.B. Lampsi, P.A. Xazov, Yu.D. Markina, D.M. Brikkel`. Privolzhskij nauchny`j zhurnal [Volga Scientific Journal]. 2022, No. 2 (62), pp. 29-36. (In Russian)
Eremin K.I. Predotvrashhenie razrushenij stroitel`ny`x metallicheskix konstrukcij: monografiya [Prevention of destruction of building metal structures: monograph]. K. I. Eremin. M-vo obrazovaniya Ros. Federacii, Magnitog. gos. texn. un-t im. G. I. Nosova [Ministry of Education of the Russian Federation, Magnitogorsk State Technical University named after G. I. Nosov]. Magnitogorsk: MGTU im. G.I. Nosova. 2004, 235 p. (In Russian)
Goriczkij V.M. O sostoyanii podkranovy`x konstrukcij korpusa konverternogo proizvodstva OAO «Severstal`» [About the condition of crane structures of the converter housing manufactured by JSC Severstal]. V.M. Goriczkij, V.N. Artyuxov, E.A. Shherbakov, G.R. Shnejderov. Promy`shlennoe i grazhdanskoe stroitel`stvo [Industrial and civil engineering]. 2001, No. 6, pp. 31-34. (In Russian)
Lampsi B.B. Podkranovo-podstropil`ny`e fermy`. Osobennosti konstrukcii, raboty` i raschyota: monografiya [Crane secondary trusses. Design, operation and calculation features: monograph]. B.B. Lampsi, Yu.D. Markina. Nizhnij Novgorod: Nizhegorodskij gosudarstvenny`j arxitekturno-stroitel`ny`j universitet [Nizhny Novgorod State University of Architecture and Civil Engineering]. 2024, 169 p. (In Russian)
Markina Yu.D. Kruchenie nizhnego poyasa podkranovo-podstropil`noj fermy`[Torsion of the lower chord of the crane secondary truss]. Yu.D. Markina. Vestnik BGTU im. V.G. Shuxova [Proceedings of the Belgorod State Technological University named after V.G. Shukhov]. 2023, No. 11, pp. 27–36. DOI: 10.34031/2071-7318-2023-8-11-27-36. (In Russian)
Markina Yu.D. Napryazhennoe sostoyanie nizhnego poyasa podkranovo-podstropil`noj fermy` pri stesnennom kruchenii [The stressed state of the lower chord of the crane secondary truss with constrained torsion]. Yu.D. Markina. Vestnik grazhdanskix inzhenerov [Proceedings of civil engineers]. 2024, No. 7 (102), pp. 36-43. (In Russian)
Nezhdanov K.K. Preimushhestva ispol`zovaniya nerazrezny`x podkranovy`x konstrukcij [Advantages of using continuous crane structures]. K.K. Nezhdanov, I.N. Gor`kin. Vestnik PGUAS: stroitel`stvo, nauka i obrazovanie [Proceedings of the Penza State University of Architecture and Construction: construction, science and education]. 2018, No. 1 (6), pp. 9-16. (In Russian)
Nezhdanov K.K. Rezul`taty` ispy`tanij nerazrezny`x podkranovy`x konstrukcij [Test results of continuous crane structures]. K.K. Nezhdanov, I.N. Gor`kin, D.X. Kurtkezov. Regional`naya arxitektura i stroitel`stvo [Regional architecture and construction]. 2020, No. 3 (44), pp. 78-83. (In Russian)
Nikitina E.A. Opredelenie ostatochnogo resursa podkranovo-podstropil`noj fermy` s uchetom nakopleniya povrezhdenij v real`ny`x usloviyax e`kspluatacii [Determination of the remaining life of the crane secondary truss, taking into account the accumulation of damage in real operating conditions]. E.A. Nikitina, P.A. Xazov, D.M. Brikkel`. Privolzhskij nauchny`j zhurnal [Volga Scientific Journal]. 2018, No. 1, pp. 9-14. (In Russian)
Romanov M.V. Napryazhyonno-deformirovannoe sostoyanie oporny`x chastej podkranovo-podstropil`ny`x ferm: dis. kand. texn. nauk: 05.23.01 [Stress-strain state of the supporting parts of crane secondary trusses: thesis of candidate of technical sciences: 05.23.01]. Romanov Mixail Viktorovich. Magnitogorsk. 2002, 166 p. (In Russian)
Shul`ga S.N. Metodika ocenki zhivuchesti i opredelenie ostatochnogo resursa podkranovo-podstropil`ny`x ferm s treshhinopodobny`mi defektami [The methodology for assessing survivability and determining the residual life of crane secondary trusses with crack-like defects]. S.N. Shul`ga. Nauka i bezopasnost` [Science and Security]. 2014, No. 4(13), pp. 1–33. (In Russian)
Shul`ga S.N. Ostatochny`j resurs podkranovo-podstropil`ny`x ferm s nerazrezny`m nizhnim poyasom na stadii rosta ustalostnoj treshhiny`: dis. kand. texn. nauk: 05.23.01 [Residual resource of crane secondary trusses with an uncut lower chord at the stage of fatigue crack growth: thesis of candidate of technical sciences: 05.23.01]. Shul`ga Stepan Nikolaevich. M., 2015, 133 p. (In Russian)
Eremin K.I. Osobennosti e`kspluatacii metallicheskix konstrukcij promy`shlenny`x zdanij: monografiya [Features of operation of metal structures of industrial buildings: monograph]. K.I. Eremin, A.N. Shuvalov, G.A. Pavlova, S.A. Matveyushkin, M.V. Nashhekin, E.L. Alekseeva; pod red. K.I. Eremina. M-vo obrazovaniya i nauki Ross. Federacii, FGBOU VPO Mosk. gos. str. un-t [Ministry of Education and Science of the Russian Federation, Moscow State University of Civil Engineering]. Moskva: Izdatel`stvo MISI – MGSU [MISI – MGSU Publishing House]. 2012, 248 p. (In Russian)
Eremin K.I. Modelirovanie razvitiya ustalostny`x povrezhdenij v podkranovo-podstropil`ny`x fermax [Modeling the development of fatigue damage in crane secondary trusses]. K.I. Eremin, S.N. Shul`ga. Vestnik MGSU [Proceedings of the Moscow State University of Civil Engineering].2014, No. 5, pp. 30-38. (In Russian)
Eryomin K.P. Zakonomernost` povrezhdenij podkranovo-podstropil`ny`x ferm pa stadii e`kspluatacii [The pattern of damage to crane secondary trusses at the stage of operation]. K.I. Eremin, S.N. Shul`ga. Promy`shlennoe i grazhdanskoe stroitel`stvo [Industrial and civil engineering]. 2013, No. 4, pp. 34-36. (In Russian)
Eremin K.I. Vliyanie e`kscentrisiteta na napryazhenno-deformirovannoe sostoyanie verxnej zony` stenok podkranovo-podstropil`ny`x ferm [The effect of eccentricity on the stress-strain state of the upper zone of the walls of crane secondary trusses]. K.I. Eremin, S.N. Shul`ga. Nauka i bezopasnost` [Science and security]. 2015, No. 5(18), pp. 49–52. (In Russian)
Eremin K.I. Scenarii progressiruyushhego obrusheniya nerazrezny`x podkranovo-podstropil`ny`x ferm s nakoplenny`mi ustalostny`mi povrezhdeniyami [Scenarios of progressive collapse of continuous crane secondary trusses with accumulated fatigue damage]. K.I. Eremin, S.N. Shul`ga. Promy`shlennoe i grazhdanskoe stroitel`stvo [Industrial and civil engineering]. 2014, No. 5, pp. 46 -49. (In Russian)
Tusnina O.A. Finite element analysis of crane secondary truss. O.A. Tusnina. Magazine of Civil Engineering. 2018, No. 1(77), pp. 68-89. doi: 10.18720/MCE.77.7.