Volume 3, No. 5 May 2024 (574-585)

p-ISSN 2980-4868 | e-ISSN 2980-4841

https://ajesh.ph/index.php/gp


 

Comparison of Sliding Wall Double System Structure Design Special Moment Bearing Frame (SRPMK) with Basic Insulation System

 

Yogi Sepriawan1*, Pariatmono2

1,2Universitas Mercu Buana, West Jakarta, DKI Jakarta, Indonesia

Email: yogisepriawan626@gmail.com1*, pariatmono@mercubuana.ac.id2

 

 

ABSTRACT

Indonesia is in an earthquake-prone zone; therefore, building structures must be designed to be earthquake-resistant. This research aims to evaluate the effectiveness of base isolation systems in enhancing the seismic performance of buildings. Specifically, the study compares the structural performance of buildings equipped with base isolation systems to those without, utilizing earthquake analysis spectrum response methods. The case study focuses on a 22-story apartment building, analyzed using ETABS V.18 software. The results indicate a significant increase in the period of buildings with base isolation systems. Although such structures exhibit notable lateral displacement, the inter-story drift remains relatively small. Furthermore, the base moment in buildings with base isolation systems is generally lower compared to those without, suggesting that base isolation can effectively reduce the seismic forces experienced by the structure.

Keywords: Basic Isolation, Earthquake, Response Spectrum, Period, Displacement, Moment, ETABS.

 

 

INTRODUCTION

High-rise buildings are very much built today because they are considered more effective and efficient with existing land conditions (Firmansyah & Machmoed, 2019; Handayani et al., 2022; Liando et al., 2020). The increasing population but increasingly limited land use is a new problem in the current modernization era. In building a building intended for large usability capacity with inadequate land conditions, tall buildings are chosen as one solution to overcome the problem (Agus & Cahya, 2022; Hasibuan & Ma’arif, 2022; Setiawan et al., 2021).

The rapid expansion of high-rise buildings constructed with reinforced concrete is evident in various types of infrastructure, including offices, hospitals, educational facilities, shopping centers, hotels, and apartments (Amin et al., 2019; Pranata et al., 2021). This trend underscores the increasing reliance on reinforced concrete for structural integrity and durability. However, this widespread adoption also brings forth critical challenges, particularly in ensuring that these structures can withstand external loads and forces over time (Firmansyah & Machmoed, 2019; Honarto et al., 2019). The fundamental issue lies in the precise calculation and consideration of these loads during the structural planning phase, which is crucial to prevent structural failures and ensure safety and longevity (Hassoun & Al-Manaseer, 2020; Martins et al., 2020; Sakti et al., 2022).

The higher a building is, the higher the risk of collapse. Therefore, in building a tall building structure has more complex requirements (Firmansyah & Machmoed, 2019; Maknun & Rosdiyani, 2021). If the building is erected in Indonesia, then the building must meet the requirements of the Indonesian National Standard (SNI) (Rahmawati & Basri, 2019; Santoso & Astawa, 2022; Wicaksana & Rosyidah, 2021).

A reinforced concrete structure is a construction system that uses a combination of concrete and reinforcing steel to form a structure that is strong and resistant to loads. Reinforced concrete structures have high strength and good resistance to loads (Subramani & Shanmuganandam, 2018).

Using a base insulation system, such as the combined SRPMK (Special Reinforced Moment-Resisting Portal) and Sliding Wall system, offers significant benefits in enhancing structural resilience against shear forces (Hasibuan & Ma’arif, 2022; Solikin & Balich, 2023). This dual system optimizes the distribution of shear forces through the interaction between the portal frame and the sliding wall, which have distinct deflection behaviors (Nugroho, 2017). Under lateral loads, the sliding wall primarily bends, while the portal frame undergoes sliding deformation (Suryanita, 2020). Consequently, the frame efficiently bears the shear forces at the top, and the sliding  wall at the bottom, leading to an improved overall stability and increased capacity to withstand shear forces, thereby enhancing the structural integrity and safety of buildings.

 

RESEARCH METHODS

In this study, the method used begins with a literature study and data collection related to the topic to be studied. Furthermore, loading planning is carried out including live loads, dead loads, and earthquake loads. The next stage is the modelling of the SRPMK-Sliding Wall double structure using two approaches, namely without and using base insulators. The result of this modelling is the output of internal forces such as moment, latitude, and axial. Then a repeat calculation is carried out based on the output. The results of this analysis were then compared to see the difference in the structural behavior of the two models. Finally, conclusions and suggestions are given based on the results of the analysis carried out.

In this study, there are several formulations of problems discussed, namely procedures for planning building structures using the SRPMK dual system with Sliding Walls, earthquake load calculation procedures with the Spectrum Response method, and the results of comparison of structural planning using Base Insulators with without Base Insulators. The purpose and purpose of writing this research is to compare the design of the special moment bearing frame double system structure (SRPMK)-sliding wall with the basic insulation system and design supporting structural elements based on reference books, regulations, and building structure planning standards applicable in Indonesia. Other objectives include planning the loading of building structures such as live loads, dead loads, and earthquake loads, conducting structural modelling using ETABS V.18 software, and conducting structural analysis from modelling to obtain dimensions of structural components.

 

RESULTS AND DISCUSSION

Model analysis is an analysis that determines the dynamic behavior of a structure at the time of an earthquake in the form of natural frequency, damping factors and the form of deformation that occurs. Below is a model analysis for structures that use basic insulation without using basic insulation.

 

Figure 1. Ground Floor Plan

 

Figure 2. 1st Floor Plan – Roof

 

Figure 3. First Model Form without the use of Basic Insulation

 

Figure 4. First Model Form using Basic Insulation

The model shape of each pedestal type can be seen in Figures 2 and 3 with different displacement shapes from each other. It can be seen that structures that use basic insulation experience considerable lateral displacement compared to structures without basic insulation, but structures that use basic insulation have a fairly small inter-floor deviation compared to structures without basic insulation. The natural period value of the basic isolation type structure in the 1st mode period is 3.778 seconds, greater than the structure without basic isolation with the 1st mode period of 1.605 seconds. The results of the comparison of basic and no basic isolation type model analysis for each mode are as follows:

 

Table 1. Comparison of Structural Value using Base Isolation and Structure without Base Isolation

Case

Mode

STRUCTURE WITHOUT BASE ISOLATION

STRUCTURE USING BASE ISOLATION

 

Modal

1

1,605

3,778

Modal

2

1,500

3,571

Modal

3

1,420

3,373

Modal

4

0,513

3,312

Modal

5

0,463

2,931

Modal

6

0,417

2,774

Modal

7

0,275

2,497

Modal

8

0,239

2,425

Modal

9

0,207

1,398

Modal

10

0,180

1,281

Modal

11

0,153

1,242

Modal

12

0,130

0,913

Modal

13

0,129

0,784

Modal

14

0,108

0,453

Modal

15

0,100

0,235

Modal

16

0,092

0,131

Modal

17

0,084

0,110

Modal

18

0,082

0,105

Modal

19

0,072

0,095

Modal

20

0,068

0,085

Modal

21

0,067

0,084

Modal

22

0,059

0,073

Modal

23

0,057

0,069

Modal

24

0,056

0,068

Modal

25

0,050

0,059

Modal

26

0,048

0,057

Modal

27

0,047

0,057

Modal

28

0,044

0,050

Modal

29

0,041

0,048

Modal

30

0,040

0,047

 

From the table above, it can be concluded that structures that use basic isolation provide a greater period value than structures without basic insulation.

 

Figure 5. Period Comparison Chart

 

Table 2. Displacement & Interchange Between Floors X-Direction Permits for  Structures Without the Use of Insulation

Story

Load/Case Combo

Direction

Displacement

Drift

Cd/Ie

Drift x Cd/Ie

Δ

Cek

mm

Izin

ATAP

SPECX

X

70

0.001121

5.5

0.006166

0.02

OK

STORY20

SPECX

X

67

0.001159

5.5

0.006375

0.02

OK

STORY19

SPECX

X

65

0.001198

5.5

0.006589

0.02

OK

STORY18

SPECX

X

62

0.001240

5.5

0.006820

0.02

OK

STORY17

SPECX

X

60

0.001307

5.5

0.007189

0.02

OK

STORY16

SPECX

X

61

0.001375

5.5

0.007563

0.02

OK

STORY15

SPECX

X

54

0.001435

5.5

0.007893

0.02

OK

STORY14

SPECX

X

50

0.001488

5.5

0.008184

0.02

OK

STORY13

SPECX

X

47

0.001516

5.5

0.008338

0.02

OK

STORY12

SPECX

X

43

0.001556

5.5

0.008558

0.02

OK

STORY11

SPECX

X

40

0.001592

5.5

0.008756

0.02

OK

STORY10

SPECX

X

36

0.001625

5.5

0.008938

0.02

OK

STORY9

SPECX

X

32

0.001652

5.5

0.009086

0.02

OK

STORY8

SPECX

X

28

0.001668

5.5

0.009174

0.02

OK

STORY7

SPECX

X

25

0.001655

5.5

0.009103

0.02

OK

STORY6

SPECX

X

21

0.001638

5.5

0.009009

0.02

OK

STORY5

SPECX

X

17

0.001591

5.5

0.008751

0.02

OK

STORY4

SPECX

X

13

0.001502

5.5

0.008261

0.02

OK

STORY3

SPECX

X

10

0.001395

5.5

0.007673

0.02

OK

STORY2

SPECX

X

6

0.001170

5.5

0.006435

0.02

OK

STORY1

SPECX

X

2

0.000530

5.5

0.002915

0.02

OK

 

Table 3. Displacement & Interchange Between Floors Y-Direction Permit for Structures Without the Use of Insulation

Story

Load/Case Combo

Direction

Displacement

Drift

Cd/Ie

Drift x Cd/Ie

Δ

Cek

mm

 

Izin

ATAP

SPECY

Y

72

0.001353

5.5

0.007442

0.02

OK

STORY20

SPECY

Y

70

0.001422

5.5

0.007821

0.02

OK

STORY19

SPECY

Y

67

0.001500

5.5

0.008250

0.02

OK

STORY18

SPECY

Y

65

0.001582

5.5

0.008701

0.02

OK

STORY17

SPECY

Y

62

0.001659

5.5

0.009125

0.02

OK

STORY16

SPECY

Y

59

0.001729

5.5

0.009510

0.02

OK

STORY15

SPECY

Y

55

0.001789

5.5

0.009840

0.02

OK

STORY14

SPECY

Y

52

0.001843

5.5

0.010137

0.02

OK

STORY13

SPECY

Y

49

0.001867

5.5

0.010269

0.02

OK

STORY12

SPECY

Y

45

0.001906

5.5

0.010483

0.02

OK

STORY11

SPECY

Y

41

0.001940

5.5

0.010670

0.02

OK

STORY10

SPECY

Y

38

0.001969

5.5

0.010830

0.02

OK

STORY9

SPECY

Y

34

0.001985

5.5

0.010918

0.02

OK

STORY8

SPECY

Y

30

0.001984

5.5

0.010912

0.02

OK

STORY7

SPECY

Y

26

0.001938

5.5

0.010659

0.02

OK

STORY6

SPECY

Y

22

0.001876

5.5

0.010318

0.02

OK

STORY5

SPECY

Y

18

0.001751

5.5

0.009631

0.02

OK

STORY4

SPECY

Y

14

0.001549

5.5

0.008520

0.02

OK

STORY3

SPECY

Y

10

0.001412

5.5

0.007766

0.02

OK

STORY2

SPECY

Y

7

0.001205

5.5

0.006628

0.02

OK

STORY1

SPECY

Y

2

0.000592

5.5

0.003256

0.02

OK

 

Table 4. Displacement & Interchange Between Floors X Direction Permit for  Structures Using Insulation

Story

Load/Case Combo

Direction

Displacement

Drift

Cd/Ie

Drift x Cd/Ie

Δ

Cek

mm

Izin

ATAP

SPECX

X

120

0.002121

5.5

0.011666

0.02

OK

STORY20

SPECX

X

117

0.002159

5.5

0.011875

0.02

OK

STORY19

SPECX

X

115

0.002198

5.5

0.012089

0.02

OK

STORY18

SPECX

X

112

0.002240

5.5

0.012320

0.02

OK

STORY17

SPECX

X

110

0.002307

5.5

0.012689

0.02

OK

STORY16

SPECX

X

111

0.002375

5.5

0.013063

0.02

OK

STORY15

SPECX

X

104

0.002435

5.5

0.013393

0.02

OK

STORY14

SPECX

X

100

0.002488

5.5

0.013684

0.02

OK

STORY13

SPECX

X

97

0.002516

5.5

0.013838

0.02

OK

STORY12

SPECX

X

93

0.002556

5.5

0.014058

0.02

OK

STORY11

SPECX

X

90

0.002592

5.5

0.014256

0.02

OK

STORY10

SPECX

X

86

0.002625

5.5

0.014438

0.02

OK

STORY9

SPECX

X

82

0.002652

5.5

0.014586

0.02

OK

STORY8

SPECX

X

78

0.002668

5.5

0.014674

0.02

OK

STORY7

SPECX

X

75

0.002655

5.5

0.014603

0.02

OK

STORY6

SPECX

X

61

0.002638

5.5

0.014509

0.02

OK

STORY5

SPECX

X

57

0.002591

5.5

0.014251

0.02

OK

STORY4

SPECX

X

43

0.002502

5.5

0.013761

0.02

OK

STORY3

SPECX

X

40

0.002395

5.5

0.013173

0.02

OK

STORY2

SPECX

X

26

0.002170

5.5

0.011935

0.02

OK

STORY1

SPECX

X

12

0.001530

5.5

0.008415

0.02

OK

 

Table 5. Displacement & Interchange Between Floors Y-Direction Permit for  Structures Using Insulation

Story

Load/Case Combo

Direction

Displacement

Drift

Cd/Ie

Drift x Cd/Ie

Δ

Cek

mm

Izin

ATAP

SPECY

Y

123

0.002353

5.5

0.012942

0.02

OK

STORY20

SPECY

Y

120

0.002422

5.5

0.013321

0.02

OK

STORY19

SPECY

Y

117

0.002450

5.5

0.013475

0.02

OK

STORY18

SPECY

Y

115

0.002582

5.5

0.014201

0.02

OK

STORY17

SPECY

Y

112

0.002659

5.5

0.014625

0.02

OK

STORY16

SPECY

Y

109

0.002729

5.5

0.015010

0.02

OK

STORY15

SPECY

Y

105

0.002789

5.5

0.015340

0.02

OK

STORY14

SPECY

Y

102

0.002843

5.5

0.015637

0.02

OK

STORY13

SPECY

Y

99

0.002867

5.5

0.015769

0.02

OK

STORY12

SPECY

Y

95

0.002906

5.5

0.015983

0.02

OK

STORY11

SPECY

Y

91

0.002940

5.5

0.016170

0.02

OK

STORY10

SPECY

Y

89

0.002969

5.5

0.016330

0.02

OK

STORY9

SPECY

Y

84

0.002985

5.5

0.016418

0.02

OK

STORY8

SPECY

Y

80

0.002984

5.5

0.016412

0.02

OK

STORY7

SPECY

Y

86

0.002938

5.5

0.016159

0.02

OK

STORY6

SPECY

Y

72

0.002876

5.5

0.015818

0.02

OK

STORY5

SPECY

Y

68

0.002751

5.5

0.015131

0.02

OK

STORY4

SPECY

Y

54

0.002549

5.5

0.014020

0.02

OK

STORY3

SPECY

Y

40

0.002412

5.5

0.013266

0.02

OK

STORY2

SPECY

Y

27

0.002205

5.5

0.012128

0.02

OK

STORY1

SPECY

Y

17

0.001592

5.5

0.008756

0.02

OK

 

 

Figure 6. Comparative Graph of Displacement of X direction and Y direction Buildings Using Basic Insulation and Buildings Without Using Basic Insulation

 

 

Figure 7. Comparative Graph of Deviation of the X direction and Y direction Buildings Using Basic Insulation and Buildings Without Using Basic Insulation

 

Table 6. Comparison of Beam Moment Values in Structures Using Base Isolation and Structures Without Base Isolation

FLOOR

MOMENT WITHOUT BASE ISOLATION

MOMENT USING BASE ISOLATION

kN.m

kN.m

Roof

343,584

171,792

20

355,367

177,683

19

361,467

180,733

18

365,578

182,789

17

373,267

186,633

16

378,588

189,294

15

384,258

192,129

14

389,786

194,893

13

390,089

195,044

12

409,998

204,999

11

420,637

210,318

10

421,327

210,663

9

427,778

213,889

8

429,478

214,739

7

430,969

215,484

6

447,090

223,545

5

453,123

226,561

4

455,238

227,619

3

467,758

233,879

2

468,168

234,084

1

469,975

234,987

 

Figure 8. Comparison Diagram of the Moment of Buildings Using Basic Insulation and Buildings Without Using Basic Insulation

 

Table 7. Comparison Results of Special Moment Resisting Frame with Shear Wall (SRPMK) System Without Using Base Isolation and System Using Base Isolation

NO.

DATA

BUILDING WITHOUT USING BASE ISOLATION

BUILDING USING BASE ISOLATION

1

Risk Category

II

2

Priority Factor (Ie)

1

3

Mapped Acceleration Spectral:

 

 

Ss

0,7806

S1

0,3823

4

Site Class

SE

5

Site Class Coefficient:

 

 

Fa

1,8776

Fv

1,9177

6

Acceleration Response Spectrum:

 

 

SDS

0,6200

SD1

0,4900

7

Seismic Design Category (KDS)

D

8

Lateral System

SRPMK Dual System with Special Reinforced Concrete Walls

9

Koefesien Modifikasi Respons ®

7

10

System Stronger Factor (W0)

2,5

11

Deflection Magnification Factor (Cd)

5,5

12

Period Structure

 

 

Tx model

1,6050

3,7780

Ty model

1,5000

3,5710

 

Cu . Ta

1,6251

13

Koefesien Respons Seismik

 

 

Cs = SDS/(R/Ie)

0,0886

Cs max = SD1/(Ta/(R/Ie))

2,1371

2,1106

Cs min = 0.044*SDS*Ie

0,0273

Cs used

0,0886

0,0886

14

Seismic Weight (W)                                       

389725,1433 kN

15

Minimum Design Base Shear V=0.85*Cs*W

29340,7358

16

Calculated Base Shift on Model:

 

 

Vx = Cs . W                                                     

34518,5127 kN

34518,5127 kN

Vy = Cs . W                                                    

34518,5127 kN

34518,5127 kN

17

Column

 

 

 

Pu                                                                  

10312,5259 kN

10312,5259 kN

Mx                                                             

502,8902 kN.m

215.890 kN.m

My                                                             

684,8079 kN.m

271.807 kN.m

Vx                                                                   

405,731 kN

231.944 kN

Vy                                                                   

310,768 kN

156.678 kN

18

Beam

 

 

 

M max (+)                                                

439.975 kN.m

220.677 kN.m

M min (-)                                                  

469.975 kN.m

234.987 kN.m

V max (+)                                                      

299.759 kN

200.578 kN

V min (-)                                                        

329.867 kN

220.564 kN

 

CONCLUSION

Based on the analysis, several key conclusions can be drawn. First, planning building structures with a Dual System using Special Moment Resisting Frames (SMRF) and special reinforced concrete shear walls involves crucial steps to ensure the structure can withstand gravity and lateral loads while meeting safety standards, including modeling with ETABS V.18. Second, calculating earthquake loads using the Response Spectrum method involves identifying earthquake parameters, dynamic analysis, and distributing earthquake forces. Third, comparing structures with and without base isolation shows that base isolation, such as Lead Rubber Bearings, significantly increases the natural vibrating period by 2-3 times, reduces inter-floor drift by 8.57%, and makes the structure more rigid during an earthquake, thereby reducing the need for reinforcement and preventing excessive damage. These conclusions emphasize the importance of careful planning and advanced methods in earthquake-resistant building design.

 

BIBLIOGRAPHY

Agus, A., & Cahya, F. O. (2022). Analisis Perbandingan Desain Struktur Gedung Beton Bertulang Sistem Rangka Pemikul Momen Khusus (Srpmk) Dan Sistem Ganda (Dual System) Di Kota Padang. Ensiklopedia of Journal, 4(4), 14–20.

Amin, N. M., Ayub, N., & Alisibramulisi, A. (2019). Design of base isolated reinforced concrete building subjected to seismic excitation using EC 8. GEOMATE Journal, 17(63), 23–28.

Firmansyah, A., & Machmoed, S. P. (2019). Perencanaan struktur gedung lfc beton bertulang tahan gempa dengan menggunakan sistem ganda pada daerah gempa tinggi. Axial: Jurnal Rekayasa Dan Manajemen Konstruksi, 7(2), 83–92.

Handayani, N. K., Setiawan, B., & Nurchasanah, Y. (2022). Perencanaan Dinding Geser pada Gedung Kuliah 7 Lantai dengan Sistem Ganda. Prosiding Seminar Nasional Teknik Sipil UMS, 9–15.

Hasibuan, S. A. R. S., & Ma’arif, F. (2022). OPTIMASI LETAK SHEAR WALL PADA STRUKTUR GEDUNG. JMTS: Jurnal Mitra Teknik Sipil, 819–830.

Hassoun, M. N., & Al-Manaseer, A. (2020). Structural concrete: theory and design. John wiley & sons.

Honarto, R. J., Handono, B. D., & Pandaleke, R. E. (2019). Perencanaan Bangunan Beton Bertulang Dengan Sistem Rangka Pemikul Momen Khusus Di Kota Manado. Jurnal Sipil Statik, 7(2).

Liando, F. J., Dapas, S. O., & Wallah, S. E. (2020). Perencanaan struktur beton bertulang gedung kuliah 5 lantai. Jurnal Sipil Statik, 8(4).

Maknun, J., & Rosdiyani, T. (2021). Analisis Beban Gempa Terhadap Kinerja Struktur Bangunan Rumah Susun Polsek Balaraja Menggunakan Software Sap 2000. Journal of Sustainable Civil Engineering (JOSCE), 3(02).

Martins, A. M. B., Simões, L. M. C., Negrão, J. H. J. O., & Lopes, A. V. (2020). Sensitivity analysis and optimum design of reinforced concrete frames according to Eurocode 2. Engineering Optimization, 52(12), 2011–2032.

Nugroho, F. (2017). Pengaruh Dinding Geser Terhadap Perencanaan Kolom Dan Balok Bangunan Gedung Beton Bertulang. Jurnal Momentum ISSN 1693-752X, 19(1).

Pranata, A. H., Bagio, T. H., & Tistogondo, J. (2021). Desain Struktur Gedung 24 Lantai Dengan Sistem Rangka Pemikul Momen Khusus (SRPMK) Dan Sistem Ganda Menggunakan Perfomance Based Design Berdasarkan SNI 2847: 2019. Jurnal Ilmiah MITSU (Media Informasi Teknik Sipil Universitas Wiraraja), 9(2), 109–116.

Rahmawati, D., & Basri, H. (2019). Sistem Kontrol Base Isolation Untuk Perencanaan Gedung Tahan Gempa. Jurnal Rekayasa Teknologi Nusa Putra, 6(1), 19–27.

Sakti, T. R., Cornelis, R., & Karels, D. W. (2022). Analisis Kinerja Kolom Pipih dan Kolom Konvensional pada Bangunan Bertingkat Rendah. Jurnal Forum Teknik Sipil (J-ForTekS), 2(1), 56–67.

Santoso, A. N., & Astawa, M. D. (2022). Evaluasi Kinerja Struktur Gedung 34 Lantai Di Surabaya Menurut SNI 1726: 2012 DAN SNI 1726: 2019.

Setiawan, Y., Ryanto, B., Geraldine, M., & Rina, R. (2021). Evaluasi gedung arsip Politeknik Negeri Jakarta sesuai SNI 1726-2019 dan SNI 2847-2019. Construction and Material Journal, 3(1), 51–56.

Solikin, M., & Balich, R. P. (2023). Perbandingan Evaluasi Kinerja Bangunan Gedung Tahan Gempa yang Didesain dengan Metode SRPMM & SRPMK berdasarkan SNI 1726: 2019 (Studi Kasus Gedung RSUD Rawat Inap Pandanarang Boyolali, Jawa Tengah). Prosiding Simposium Nasional Rekayasa Aplikasi Perancangan Dan Industri, 8–20.

Subramani, M. S., & Shanmuganandam, M. (2018). ‘Multistorey Residential Building with Base Isolation Method Using SAP. International Journal of Engineering and Technology.

Suryanita, R. (2020). Pengaruh Penggunaan Base Isolation High Damping Rubber Bearing Pada Struktur Beton Bertulang. SIKLUS: Jurnal Teknik Sipil, 6(2), 181–194.

Wicaksana, A., & Rosyidah, A. (2021). Pembandingan Perancangan Bangunan Tahan Gempa Menggunakan SNI 1726: 2012 Dan SNI 1726: 2019. Jurnal Ilmiah Rekayasa Sipil, 18(1), 88–99.

 

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Yogi Sepriawan, Pariatmono (2024)

 

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Asian Journal of Engineering, Social and Health (AJESH)

 

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