เกือบ 60 ปี ที่รอคอย! สมการใหม่ของ ACI318 สำหรับกำลังต้านการเฉือนขององค์อาคารคอนกรีตเสริมเหล็กชะลูด

ผู้แต่ง

  • ภาณุวัฒน์ จ้อยกลัด ภาควิชาวิศวกรรมโยธาและสิ่งแวดล้อม คณะวิศวกรรมศาสตร์ มหาวิทยาลัยศรีนครินทรวิโรฒ จังหวัดนครนายก ประเทศไทย
  • สุนิติ สุภาพ ภาควิชาวิศวกรรมโยธาและสิ่งแวดล้อม คณะวิศวกรรมศาสตร์ มหาวิทยาลัยศรีนครินทรวิโรฒ จังหวัดนครนายก ประเทศไทย

คำสำคัญ:

การเฉือน, คอนกรีตเสริมเหล็ก, เหล็กเสริมตามขวาง, วสท., ACI

บทคัดย่อ

การคำนวณออกแบบองค์อาคารคอนกรีตเสริมเหล็กเพื่อต้านการเฉือนถือเป็นภาระที่สำคัญของวิศวกรโครงสร้าง เนื่องจากการวิบัติโดยการเฉือนเป็นการวิบัติแบบเปราะ ซึ่งหากอ้างอิงตามแนวทางการคำนวณออกแบบโครงสร้างคอนกรีตของ ACI318 จะกำหนดให้กำลังเฉือนระบุ (Vn) เป็นผลรวมของ (ก) ส่วนที่มาจากคอนกรีตเสริมเหล็กที่ไม่เสริมตามขวาง (Vc) และ (ข) ส่วนที่มาจากเหล็กเสริมตามขวางซึ่งสร้างพฤติกรรมร่วมกับคอนกรีตในรูปโครงข้อหมุน (Vs) ทั้งนี้ ACI318 ได้กำหนดแนวทางดังกล่าวอย่างชัดเจนตั้งแต่ ค.ศ. 1963 เป็นต้นมา อย่างไรก็ตาม ข้อกำหนดเกี่ยวกับกำลังต้านแรงเฉือน โดยเฉพาะ Vc นั้น มีหลายจุดที่ให้ค่าไม่อยู่ในเชิงอนุรักษ์ โดยเฉพาะอย่างยิ่งในกรณีที่ (1) องค์อาคารมีขนาดใหญ่และไม่เสริมเหล็กตามขวาง และ (2) องค์อาคารที่เสริมเหล็กรับแรงดึงเนื่องจากการดัดในปริมาณต่ำ เป็นต้น ด้วยเหตุผลดังกล่าวข้างต้น บทความนี้จึงนำเสนอพัฒนาการที่เกี่ยวข้องกับการคำนวณออกแบบแรงเฉือนในองค์อาคารคอนกรีตเสริมเหล็ก โดยเฉพาะอย่างยิ่งกับคานที่ไม่เสริมเหล็กตามขวาง ซึ่งพบบ่อยในกรณีของคานขนาดใหญ่ แผ่นพื้นหรือฐาน นอกจากนี้ บทความยังนำเสนอข้อจำกัดของมาตรฐานที่มีอยู่เดิม และการเปลี่ยนแปลงที่เกิดขึ้นกับมาตรฐานฉบับปัจจุบัน นั่นคือ ACI318-19 ซึ่งล้วนส่งผลกระทบกับแนวทางการคำนวณออกแบบของประเทศไทยในปัจจุบัน

References

NACU Standard No.4, 1910, “Standard Building Regulations for the Use of Reinforced Concrete,” Proceedings, National Association of Cement Users, 6, pp. 349-361.

Joyklad, P. and Suparp, S., 2012, “Book Review: Design of Concrete Structures 14th Edition,” Kasem Bundit Engineering Journal, 2 (2), pp. 108-117. (in Thai).

ACI Committee 318, 2019, Building Code Requirements for Structural Concrete and Commentary (ACI318-19), American Concrete Institute, Detroit, Michigan.

Subcommittee on Civil Engineering, 2019, Standards for reinforced concrete buildings by Working Stress Design Methods (EIT. 011007-19), The Engineering Institute of Thailand Under H.M. The King's Patronage, Bangkok. (In Thai)

Subcommittee on Civil Engineering, 2000, Standards for reinforced concrete buildings by Strength Design Methods (EIT. 1008-38), The Engineering Institute of Thailand Under H.M. The King's Patronage, Bangkok. (In Thai).

Joyklad, P. and Suparp, S., 2014, “Reinforced Concrete: From origin to Siam,” Thailand Engineering Journal, 67 (1), pp. 17-25. (In Thai)

Wikimedia Foundation, 2020, Karl Wilhelm Ritter [Online], Available: https://en.wikipedia.org/wiki/Karl_Wilhelm_Ritter [24 June 2020]

Ritter, K.W., 1899, “Die Bauweise Hennebique,” Schweiz. Bauzeitung, 33 (5), pp. 41 – 43.

Ritter, K.W., 1899, “Die Bauweise Hennebique,” Schweiz. Bauzeitung, 33 (6), pp. 49 – 52.

Ritter, K.W., 1899, “Die Bauweise Hennebique,” Schweiz. Bauzeitung, 33 (7), pp. 59 – 61.

Christophe, P., 1902, Le béton armé et ses applications (Reinforced Concrete and Its Applications), Paris/Liège: C. Béranger.

Withey, M.O., 1907, “Tests on Plain and Reinforced Concrete,” Series of 1906. Bulletin of the University of Wisconsin, Engineering Series, 4 (1), pp. 1-66.

Hellebois, A. and Espion, B., 2013, “The Role of the Belgian Engineer Paul Christophe on the Development of Reinforced Concrete at the Turn of the 20th Century,” Beton-und Stahlbetonbau, 108 (12), pp. 888-897.

Ramirez, J.A. and Breen, J.E., 1983, “Review of Design Procedures for Shear and Torsion in Reinforced and Prestressed Concrete,” Research Report 248-2, Center for Transportation Research, The University of Texas at Austin, Austin, Texas.

Mörsch, E., 1902, “Die Schubfestigkeit des Betons (The Shear Strength of the Concrete),” Beton und Eisen, 1 (5), pp. 11-12.

Wikimedia Foundation, 2020, Emil Mörsch [Online], Available: https://fr.wikipedia.org/wiki/Emil_M%C3%B6rsch [8 June 2020]

Faber, O. and Bowie, P.G., 1912, Reinforced Concrete Design, Edward Arnold, London.

Evans, R.H., 1935, “Stresses in the Steel Reinforcement of Reinforced Concrete Structures,” The Structural Engineer, 13 (9), pp. 354-369.

Evans, R.H., 1936, “Experiments on Stress Distribution in Reinforced Concrete Beams,” The Structural Engineer, 14 (10), pp. 118-130.

Evans, R.H., 1941, “Influence of Shear Cracks on the Bond Slip in Reinforced Concrete Beams,” The Structural Engineer, 19 (7), pp. 119-125.

Ferguson, P.M. and Thompson, J.N., 1953, “Diagonal Tension in T-Beams Without Stirrups,” ACI Journal Proceedings, 49 (3), pp. 665-675.

Hognestad, E., 1952, What Do We Know About Diagonal Tension and Web Reinforcement in Concrete? A Historical Study, University of Illinois at Urbana-Champaign, Illinois.

Laupa, A., Siess, C.P. and Newmark, N.M., 1953, The Shear Strength of Simple-Span Reinforced Concrete Beams Without Web Reinforcement, University of Illinois at Urbana-Champaign, Illinois.

Sozen, M.A., 2007, "Chester P. Siess (1916-2004)," pp. 274-279, in Memorial Tributes: National Academy of Engineering, Vol. 11, The National Academies Press.

ACI Standard Specifications No. 23, 1920, “Standard Building Regulations for the Use of Reinforced Concrete,” ACI Journal Proceedings, 16 (2), pp. 283-302.

ACI Committee E-1, 1927, “Reinforced Concrete Building Design and Specifications,” ACI Journal Proceedings, 23 (2), pp. 644-677.

ACI Committee 501, 1936, “Building Regulations for Reinforced Concrete,” ACI Journal Proceedings, 32 (3), pp. 407-444.

ACI Committee 318, 1941, “Building Requirements for Reinforced Concrete (ACI318-41),” American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 1947, “Building Code Requirements for Reinforced Concrete (ACI318-47),” American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 1951, “Building Code Requirements for Reinforced Concrete (ACI318-51),” American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 1956, “Building Code Requirements for Reinforced Concrete (ACI318-56),” American Concrete Institute, Detroit, Michigan.

ACI‐ASCE Joint Committee 445, 1999, “Recent Approaches to the Shear Design of Structural Concrete (ACI445R-99),” American Concrete Institute, Farmington Hills, MI.

Collins, M.P. and Mitchell, D., 1997, Prestressed Concrete Structures, Response Publications.

MacGregor, J.G. and Wight, J.K., 2011, Reinforced Concrete: Mechanics and Design, Singapore, Prentice Hall.

Elstner, R.C. and Hognestad, E., 1957, “Laboratory Investigation of Rigid Frame Failure,” ACI Journal Proceedings, 53 (1), pp. 637-668.

Ferguson, P.M., 1956, “Some Implications of Recent Diagonal Tension Tests,” ACI Journal Proceedings, 53 (8), pp. 157-172.

Gloyana, E.F. and Breen, J.E. 1989, "Phil Moss Ferguson (1899–1986)," pp. 164-169, in Memorial Tributes: National Academy of Engineering, Vol. 3, The National Academies Press.

Morrow, J. and Viest, I.M., 1957, “Shear Strength of Reinforced Concrete Frame Members Without Web Reinforcement,” ACI Journal Proceedings, 53 (3), pp. 833-869.

Whitney, C.S., 1957, “Ultimate Shear Strength of Reinforced Concrete Flat Slabs, Footings, Beams, and Frame Members Without Shear Reinforcement,” ACI Journal Proceedings, 54 (10), pp. 265-298.

Subbiah, K. and Smith, R.B.L., 1958, “The Influence of Shear on the Moment of Resistance of Reinforced Concrete Beams,” The Structural Engineer, 36 (11).

ACI-ASCE Joint Committee 326, 1962, “Shear and Diagonal Tension,” ACI Journal Proceedings, 59 (1), pp. 1-30.

ACI-ASCE Joint Committee 326, 1962, “Shear and Diagonal Tension,” ACI Journal Proceedings, 59 (2), pp. 277-334.

ACI-ASCE Joint Committee 326, 1962, “Shear and Diagonal Tension,” ACI Journal Proceedings, 59 (3), pp. 353-356.

ACI Committee 318, 1963, “Building Code Requirements for Reinforced Concrete (ACI318-63),” American Concrete Institute, Detroit, Michigan.

Hanson, J.A., 1958, "Shear Strength of Lightweight Reinforced Concrete Beams," ACI Journal Proceedings, 55 (8), pp. 387-403.

Hanson, J.A., 1961, "Tensile Strength and Diagonal Tension Resistance of Structural Lightweight Concrete," ACI Journal Proceedings, 58 (7), pp. 1-39.

Kani, G.N.J., 1964, “The Riddle of Shear Failure and its Solution,” ACI Journal Proceedings, 61 (4), pp. 441-468.

Kani, G.N.J., 1966, “Basic Facts Concerning Shear Failure,” ACI Journal Proceedings, 63 (6), pp. 675-692.

Kani, G.N.J., 1967, “How Safe are Our Large Reinforced Concrete Beams?,” ACI Journal Proceedings, 64 (3), pp. 128-141.

Kani, G.N.J., 1969, “A Rational Theory for the Function of Web Reinforcement,” ACI Journal Proceedings, 66 (3), pp. 185-197.

Leondardt, F., 1965, “Reducing the Shear Reinforcement in Reinforced Concrete Beams and Slabs,” Magazine of Concrete Research, 17 (53), pp. 187-198.

Gerwick, B. 2001, "Fritz Leonhardt (1909–1999)," pp. 198-201, in Memorial Tributes: National Academy of Engineering, Vol. 9, The National Academies Press.

MacGregor, J.G. and Walters, J.R.V., 1967, “Analysis of Inclined Cracking Shear in Slender Reinforced Concrete Beams,” ACI Journal Proceedings, 64 (10), pp. 644-653.

MacGregor, J.G. and Hanson, J.M., 1969, “Proposed Changes in Shear Provisions for Reinforced and Prestressed Concrete Beams,” ACI Journal Proceedings, 66 (4), pp. 276-288.

Fenwick, R.C. and Paulay, T., 1968, “Mechanism of Shear Resistance of Concrete Beams. Journal of the Structural Division,” Proceedings of the ASCE, 94 (10), pp. 2325-2350.

Mattock, A.H., 1969, “Diagonal Tension Cracking in Concrete Beams with Axial Force,” Journal of the Structural Division, Proceedings of the ASCE, 95 (9), pp. 1887-1900.

Haddadin, M.J., Hong, S. and Mattock, A.H., 1971, “Stirrup Effectiveness in Reinforced Concrete Beams with Axial Forces,” Journal of the Structural Division, Proceedings of the ASCE, 97 (9), pp. 2277-2297.

Collins, M.P., 1992, “The Response of Reinforced Concrete Elements Subjected to Shear,” pp. 13-23, in T.T.C. Hsu and S.T. Mau (Eds.) Concrete Structure in Earthquake, London: Elsevier Science.

ACI Committee 318, 1971, Building Code Requirements for Reinforced Concrete (ACI318-71), American Concrete Institute, Detroit, Michigan.

Ivey, D.L. and Buth, E., 1967, "Shear Capacity of Lightweight Concrete Beams," ACI Journal Proceedings, 64 (10), pp. 643-634.

ASCE-ACI Joint Committee 426, 1973, “The Shear Strength of Reinforced Concrete Members. Journal of the Structural Division,” Proceedings of the ASCE, 99 (6), pp. 1091-1187.

MacGregor, J.G. and Gergely, P., 1977, "Suggested Revisions to ACI Building Code Clauses Dealing with Shear in Beams," ACI Journal Proceedings, 74 (10), pp. 493-500.

Zsutty, T., 1968, “Beam Shear Strength Prediction by Analysis of Existing Data,” ACI Journal Proceedings, 65 (11), pp. 943-951.

Zsutty, T., 1971, “Shear Strength Prediction for Separate Categories of Simple Beam Tests,” ACI Journal Proceedings, 68 (2), pp. 138-143.

ACI Committee 318, 1977, Building Code Requirements for Reinforced Concrete (ACI318-77), American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 1983, Building Code Requirements for Reinforced Concrete (ACI318-83), American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 1986, Building Code Requirements for Reinforced Concrete (ACI318-86) (Revised 1986), American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 1989, Building Code Requirements for Reinforced Concrete and Commentary (ACI318-89), American Concrete Institute, Detroit, Michigan.

Mphonde, A.G. and Frantz, G.C., 1984, "Shear Tests of High- and Low-Strength Concrete Beams without Stirrups," ACI Journal Proceedings, 81 (4), pp. 350-357.

Elzanaty, A.H., Nilson, A.H. and Slate, F.O., 1986, "Shear Capacity of Reinforced Concrete Beams Using High Strength Concrete," ACI Journal Proceedings, 83 (2), pp. 290-296.

American Concrete Institute, 2012, 2012 Honorary Members: Michael P. Collins [Online], Available: https://www.concrete.org/aboutaci/honorsandawards/honorarymembers/2012.aspx. [24 June 2020]

Ramirez, J.A. and Breen, J.E., 1991, “Evaluation of a Modified Truss-Model Approach for Beams in Shear,” ACI Structural Journal, 88 (5), pp. 562-571.

Walraven, J.C., 1980, Aggregate Interlock: A Theoretical and Experimental Analysis, Doctor of Philosophy Thesis, Delft University, The Netherlands.

Walraven, J.C. and Lehwalter, N., 1994, “Size Effects in Short Beams Loaded in Shear,” ACI Structural Journal, 91 (5), pp. 585-593.

Reineck, K.-H., 1982, Models for the Design of Reinforced and Prestressed Concrete Members, CEB-Bull.146, pp. 43-96.

Reineck, K.-H., 1991, “Ultimate Shear Force of Structural Concrete Members without Transverse Reinforcement Derived from a Mechanical Model,” ACI Structural Journal, 88 (5), pp. 592-602.

Hsu, T.T.C., Mau, S.T. and Chen, B., 1987, “Theory on Shear Transfer Strength of Reinforced Concrete,” ACI Structural Journal, 84 (2), pp. 149-160.

International Federation for Structural Concrete, 2017, "Joost Walraven-70th Birthday," Structural Concrete, 18 (1), pp.241-242.

Schlaich, J., 2006, "Karl-Heinz Reineck zum 65.Geburtstag," Bautechnik, 83 (8), pp. 574-575.

American Concrete Institute, 2012, 2012 Honorary Members: T.T.C. Hsu [Online], Available: https://www.concrete.org/aboutaci/honorsandawards/honorarymembers/2012.aspx. [24 June 2020]

ACI Committee 318, 1995, Building Code Requirements for Structural Concrete and Commentary (ACI318-95), American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 1999, Building Code Requirements for Structural Concrete and Commentary (ACI318-99), American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 2002, Building Code Requirements for Structural Concrete and Commentary (ACI318-02), American Concrete Institute, Detroit, Michigan.

Roller, J.J. and Russell, H.G., 1990, "Shear Strength of High-Strength Concrete Beams with Web Reinforcement," ACI Structural Journal, 87 (2), pp. 191-198.

ACI Committee 318, 2005, “Building Code Requirements for Structural Concrete and Commentary (ACI318-05),” American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 2008, “Building Code Requirements for Structural Concrete and Commentary (ACI318-08),” American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 2011, “Building Code Requirements for Structural Concrete and Commentary (ACI318-11),” American Concrete Institute, Detroit, Michigan.

ACI Committee 318, 2014, “Building Code Requirements for Structural Concrete and Commentary (ACI318-14),” American Concrete Institute, Detroit, Michigan.

Taylor, H.P.J., 1972, “Shear Strength of Large Beams. Journal of the Structural Division,” Proceedings of the ASCE, 98 (11), pp. 2473-2490.

Shioya, T., Iguro, M., Nojiri, Y., Akiyama, H. and Okada, T., 1989, “Shear Strength of Large Reinforced Concrete Beams,” pp. 259-280, in C.L. Victor and Z.P. Bazant (Eds.) Fracture Mechanics: Application to Concrete (ACI-SP-118), American Concrete Institute, Detroit.

Kennedy, R.P.,1967, A Statistical Analysis of the Shear Strength of Reinforced Concrete Beams, Stanford University, Stanford, California.

Rajagopalan, K.S. and Ferguson, P.M., 1968, “Exploratory Shear Tests Emphasizing Percentage of Longitudinal Steel,” ACI Journal Proceedings, 65 (8), pp. 634-638.

Placas, A. and Regan, P.E., 1971, “Shear Failure of Reinforced Concrete Beams,” ACI Journal Proceedings, 68 (10), pp. 763-773.

Bresler, B. and Scordelis, A.C., 1963, “Shear Strength of Reinforced Concrete Beams,” ACI Journal Proceedings, 60 (1), pp. 51-74.

Selby, R.G., Vecchio, F.J. and Collins, M. P., 1996, “Analysis of Reinforced Concrete Members Subject to Shear and Axial Compression,” ACI Structural Journal, 93 (3), pp. 306-315.

Gupta, P.R., 1998, Shear Design of Reinforced Concrete Members under Axial Compression, University of Toronto, Toronto, Canada.

Rangan, B.V., 1974, "A Comparison of Code Requirements for Shear Strength of Reinforced Concrete Beams," ACI Special Publication, 42, pp. 285-304.

Okamura, H. and Higai, T., 1980, "Proposed Design Equation for Shear Strength of Reinforced Concrete Beams without Web Reinforcement," Proceedings of the Japan Society of Civil Engineers, 1980 (300), pp. 131-141.

American Concrete Institute, 2005, 2005 Honorary Members: Hajime Okamura [Online], Available: https://www.concrete.org/aboutaci/honorsandawards/honorarymembers/2005.aspx. [24 June 2020]

University of Houston, 2020, Dr. Abdeldjelil "DJ" Belarbi, Ph.D., P.E. [Online], Available: http://www.cive.uh.edu/faculty/belarbi. [24 June 2020]

Belarbi, A., Kuchma, D.A. and Sanders, D.H., 2017, “Proposals for New One-Way Shear Equations for the 318 Building Code,” Concrete International, 39 (9), pp. 29-32.

Kuchma, D.A., Wei, S., Sanders, D.H., Belarbi, A. and Novak, L.C., 2019, “Development of the One-Way Shear Design Provisions of ACI 318-19 for Reinforced Concrete,” ACI Structural Journal, 116 (4), pp. 285-295.

Bentz, E.C. and Collins, M.P., 2017, “Updating the ACI Shear Design Provisions,” Concrete International, 39 (9), pp. 33-38.

Vecchio, F.J. and Collin, M. P., 1986, “The Modified Compression Field Theory for Reinforced Concrete Elements subjected to Shear,” ACI Journal Proceedings, 33 (2), pp. 219-231.

Cladera, A., Marí, A., Bairán, J.M., Ribas, C., Oller, E. and Duarte, N., 2016, “The Compression Chord Capacity Model for the Shear Design and Assessment of Reinforced and Prestressed Concrete Beams,” Journal of Structural Control, 17 (6), pp. 1017-1032.

Cladera, A., Marí, A., Bairán, J.M., Ribas, C. and Oller, E., 2017, “One Way Shear Design Method Based on Multi-Action Model: A Compromise between Simplicity and Accuracy,” Concrete International, 39 (9), pp. 40-46.

Polytechnic University of Catalonia, 2018, The Team [Online], Available: https://www.atem.upc.edu/the-team/. [24 June 2019]

Frosch, R.J., Yu, Q., Cusatis, G. and Bažant, Z.P., 2017, “A Unified Approach to Shear Design,” Concrete International, 39 (9), pp. 47-52.

Bažant, Z.P. and Pang, S.-D., 2007, “Activation Energy Based Extreme Value Statistics and Size Effect in Brittle and Quasibrittle Fracture,” Journal of the Mechanics and Physics of Solids, 55, pp. 91-134.

National Czech & Slovak Museum & Library, “Zdeněk Bažant,” [Online], Available: https://ncsml.omeka.net/items/show/4242. [24 June 2020]

Li, Y.-A., Hsu, T.T.C. and Hwang, S.-J., 2017, “Shear Strength of Prestressed and Nonprestressed Concrete Beams,” Concrete International, 39 (9), pp. 53-57.

Laskar, A., Hsu, T.T.C. and Mo, Y.L., 2010, “Shear Strengths of Prestressed Concrete Beams Part 1: Experiments and Shear Design Equations,” ACI Structural Journal, 107 (3), pp. 330-339.

Kuo, W.W., Hsu, T.T.C. and Hwang, S.J., 2014, “Shear Strength of Reinforced Concrete Beams,” ACI Structural Journal, 111 (4), pp. 809-818.

Choi, K.K. and Park, H.G., 2017, “Unified Shear Design Method of Concrete Beams based on Compression Zone Failure Mechanism,” Concrete International, 39 (9), pp. 59-63.

Choi, K.K., Park, H.G. and Wight, J.K., 2007a, “Unified Shear Strength Model for Reinforced Concrete Beams—Part I: Development,” ACI Structural Journal, 104 (2), pp. 142-152.

Choi, K.K. and Park, H.G., 2007b, “Unified Shear Strength Model for Reinforced Concrete Beams—Part II: Verification and Simplified Method,” ACI Structural Journal, 104 (2), pp. 153-161.

Reineck, K.-H., 2017, “Proposal for ACI 318 Shear Design,” Concrete International, 39 (9), pp. 65-70.

Collins, M.P., Bentz, E.C., Quach, P.T., and Proestos, G.T., 2015, “The Challenge of Predicting the Shear Strength of Very Thick Slabs,” Concrete International, 37 (11), pp. 29-37.

Collins, M.P., Quach, P.T. and Bentz, E.C., 2020, "Shear Behavior of Thick Slabs," ACI Structural Journal, 117 (4), pp. 115-125.

Downloads

เผยแพร่แล้ว

2021-03-31

How to Cite

จ้อยกลัด ภ., & สุภาพ ส. (2021). เกือบ 60 ปี ที่รอคอย! สมการใหม่ของ ACI318 สำหรับกำลังต้านการเฉือนขององค์อาคารคอนกรีตเสริมเหล็กชะลูด. Science and Engineering Connect, 44(1), 3–32. สืบค้น จาก https://ph04.tci-thaijo.org/index.php/SEC/article/view/10330