RASIO KEKAKUAN LENTUR (FLEXURAL STIFFNESS RATIO) ELEMEN BETON AKIBAT GEMPA BERDASARKAN ANALISIS DINAMIK STRUKTUR SINGLE DEGREE OF FREEDOM (SDOF)

Widodo Pawirodikromo; Anggit Mas Arifudin; Dewi Ayu Harjani

doi:10.20885/teknisia.vol26.iss2.art6

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26 November 2021

Accepted

30 November 2021

Published

30 November 2021

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Abstract

Modeling the effective stiffness of reinforced concrete elements for structural analysis is an important problem and needs to be solved. The effective stiffness is then expressed in terms of the average flexural stiffness ratio C_k. whose value has been determined by Codes. Previous studies have shown that the stiffness ratio is assumed/stated to be strength-dependent. Based on this statement, research on the flexural stiffness ratio C_k of reinforced concrete elements through dynamic analysis of the SDOF structure was carried out. The SDOF structural model used has a vibration period T = 0.48 sec. The dynamic load used is 50 earthquake records consisting of 3-groups of frequency content (low, moderate, high). The dynamic analysis that was carried out has accommodated the inelastic responses whose behavior follows Modified Takeda hysteretic loops. The study results showed that the maximum response of the structure generally occurred in the strong middle part of the earthquake recording or the period of the effective duration of D595. The main finding in this study is that the strength dependent of flexural stiffness is proven. The relationship between the average flexural stiffness ratio C_k and peak ground acceleration of PGA can be mathematically expressed in the equation C_k = -0.981.PGA + 0.822. The relationship is negative, meaning that the higher the PGA value, the smaller the C_k value with a correlation coefficient of R = 0.635 (moderate correlation). The C_kvalue negatively correlates with the drift ratio and damage index, DI.

Keywords

momen Inersia efektif rasio kekakuan lentur sendi plastis hysteretic loops drift ratio damage index

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Author Biography

Widodo Pawirodikromo, Universitas Islam Indonesia

Scopus ID : 56527243100

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Sinta ID : 6018736

http://sinta.ristekbrin.go.id/authors/detail?id=6018736&view=overview

How to Cite

Pawirodikromo, W., Arifudin, A. M., & Harjani, D. A. (2021). RASIO KEKAKUAN LENTUR (FLEXURAL STIFFNESS RATIO) ELEMEN BETON AKIBAT GEMPA BERDASARKAN ANALISIS DINAMIK STRUKTUR SINGLE DEGREE OF FREEDOM (SDOF). Teknisia, 26(2), 107–120. https://doi.org/10.20885/teknisia.vol26.iss2.art6

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References

BMKG, 2018, Katalog gempa bumi siknifikan dan merusak 1821-2018, Pusat gempa bumi dan tsunami, Badan Meteorologi Klimatologi dan Geofisika, 280 hal.
PP, (2021), Peraturan Pemerintah Republik Indonesia No, 16 Tahun 2021 Tentang Peraturan Pelaksanaan Undang-Undang No.28 Tahun 2002 Tentang Bangunan Gedung.
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ACI Committee 318, 2014, Building Code and Commentary Requirements for Structural Concrete (ACI 318-14 and ACI 318R-14), American Concrete Institute, 518 hal.
Elwood K.J, Eberhard M.O, 2006, Effective stiffness of Reinforced Concrete Column, Pacific Earthquake Engineering Research Center.
Miguel H, Santos S.B, 2016, Seismic Analysis of Reinforced Concrete Structures Using Different Values of Stiffness, Technico Lisboa, University of Lisbon Portugal.
Tso W.K, Zhu T.J, Heidebrecht A.C, 1992, Engineering Application of Ground Motion A/V ratio, Soil Dynamics and Earthquake Eangineering, Vol.11, pp.133-144.
Dong P, 2003. Effects of Varying Hysteretic Models and damage Models on Damage Assessment of Structures under Standard Design Level Earthquakes Obtained Using A New Scaling Methods, PhD Thesis University of Canterbury, Christchurch, New Zealand, 226 hal.
Saiidi M, Sozen M, A, 1979, Simple and Complex Model for Nonlinear Seismic Response of Reinforced Concrete Structures, University of Illinois, Urbana, Champaign, 189 hal.
Park Y.I, Ang A.H.S, 1985, Mechanistic Seismic Damage Model for Reinforced Concrete, Journal of Structural Engineering, ASCE, Vol.111, No.4, hal. 722-739.
Trifunac M.D, Brady A.G, 1975, A study on the duration of earthquake ground motion, Bulletin of the Seismological Society of America, Vol.65, No.3, pp.581-626.
Makhloof D.A, Ibrahim A.R, Ren X, 2021, Damage Assessment of Reinforced Concrete Structures through Damage Indices,: A State of the Art Review, Computer Modeling in Engineering and Sciences.
Li Z, Chen L, Teng J, 2019, A Comparative test study on the seismic Damage Sustained by Frame Core Tube Structures, Advances in Engineering, Hindawi, Vol. 2019.
Schober P, Boer C, Schwarte L.A, 2018, Correlation Coefficient : Appropriate use and Interpretation, Anesthesia and Analgesia Vol. 126, No.5, pp.1763-1767.
FEMA 356, 2000, Prestandard and Comentary for the Seismic Rehabilitation of Buildings, American Society of Civil Engineers (ASCE).

References

BMKG, 2018, Katalog gempa bumi siknifikan dan merusak 1821-2018, Pusat gempa bumi dan tsunami, Badan Meteorologi Klimatologi dan Geofisika, 280 hal.

PP, (2021), Peraturan Pemerintah Republik Indonesia No, 16 Tahun 2021 Tentang Peraturan Pelaksanaan Undang-Undang No.28 Tahun 2002 Tentang Bangunan Gedung.

UU 20, 2014, Standarisasi dan Penilaian Kesesuaian, Badan Standarisasi Nasional.

BSN-3, (2013] Beban Minimum untuk perancangan bangunan gedung dan yang lain, Standar Nasional Indonesia, SNI 1727.

BSN-a, (2019) Tata cara perencanaan ketahanan gempa untuk struktur bangunan gedung dan non gedung, Standar Nasional Indonesia SNI 1726.

BSN –b, (2019) Persyaratan beton struktural untuk bangunan gedung dan penjeladsan, Standar Nasional Indonesia, SNI 2847.

Ammash H.K, Hemzah H.A, Al-Ramahee M.A, 2018, Unified Advanced Model of Effective Moment Inertia of Reinforced Concrete Members, International Journal of Applied Engineering Research, Vol.13, No.1, pp.557-562.

Elgohary H, Osama A.A, Badawi M, Abduleazak A.B, 2021, Non linear determination of the effective flexural rigidity of Reinforced concrete beams, International Research Journal of Engineering and Technology (IRJET), Vol.08, Issue 1, pp.164-168.

Das S, Choudhury S, 2019, Influence of effective stiffness on the performance of RC buidings designed using displacement-based method and evaluation of column effective stiffness using ANN, Engineering Structures, Vol.197, 109354.

Calvi G.M, Priestley M.J.N, Kowalsky M.J, 2008, Displacement Seismic Design of Structures, Earthquake Spectra.

Afsal S, 2018, Seismic Behavior of Multi Storied RC Frame Using Different Set of Stiffness Modification Factor, Master Thesis Capital University of Science and Technology, Islamabad, 114 hal.

Widodo P, 2017, Analisis Dinamik Struktur, Pustaka Pelajar.

Wong J.M, 2016, Effective Stiffness for Modeling Reinforce Concrete Structures, Structure Magazine 2017.

Avsar O, Bayhan B, Yakut A, 2014, Effective flexural rigidity of ordinary reinforced concrete column and beams, The Structural Design of Tall and Special Buildings, Vol.23, pp.463-482.

ACI Committee 318, 2014, Building Code and Commentary Requirements for Structural Concrete (ACI 318-14 and ACI 318R-14), American Concrete Institute, 518 hal.

Elwood K.J, Eberhard M.O, 2006, Effective stiffness of Reinforced Concrete Column, Pacific Earthquake Engineering Research Center.

Miguel H, Santos S.B, 2016, Seismic Analysis of Reinforced Concrete Structures Using Different Values of Stiffness, Technico Lisboa, University of Lisbon Portugal.

Tso W.K, Zhu T.J, Heidebrecht A.C, 1992, Engineering Application of Ground Motion A/V ratio, Soil Dynamics and Earthquake Eangineering, Vol.11, pp.133-144.

Dong P, 2003. Effects of Varying Hysteretic Models and damage Models on Damage Assessment of Structures under Standard Design Level Earthquakes Obtained Using A New Scaling Methods, PhD Thesis University of Canterbury, Christchurch, New Zealand, 226 hal.

Saiidi M, Sozen M, A, 1979, Simple and Complex Model for Nonlinear Seismic Response of Reinforced Concrete Structures, University of Illinois, Urbana, Champaign, 189 hal.

Park Y.I, Ang A.H.S, 1985, Mechanistic Seismic Damage Model for Reinforced Concrete, Journal of Structural Engineering, ASCE, Vol.111, No.4, hal. 722-739.

Trifunac M.D, Brady A.G, 1975, A study on the duration of earthquake ground motion, Bulletin of the Seismological Society of America, Vol.65, No.3, pp.581-626.

Makhloof D.A, Ibrahim A.R, Ren X, 2021, Damage Assessment of Reinforced Concrete Structures through Damage Indices,: A State of the Art Review, Computer Modeling in Engineering and Sciences.

Li Z, Chen L, Teng J, 2019, A Comparative test study on the seismic Damage Sustained by Frame Core Tube Structures, Advances in Engineering, Hindawi, Vol. 2019.

Schober P, Boer C, Schwarte L.A, 2018, Correlation Coefficient : Appropriate use and Interpretation, Anesthesia and Analgesia Vol. 126, No.5, pp.1763-1767.

FEMA 356, 2000, Prestandard and Comentary for the Seismic Rehabilitation of Buildings, American Society of Civil Engineers (ASCE).

RASIO KEKAKUAN LENTUR (FLEXURAL STIFFNESS RATIO) ELEMEN BETON AKIBAT GEMPA BERDASARKAN ANALISIS DINAMIK STRUKTUR SINGLE DEGREE OF FREEDOM (SDOF)

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Widodo Pawirodikromo, Universitas Islam Indonesia

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