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Articles 1 - 30 of 32
Full-Text Articles in Engineering
Experimental Study On Automatic Control For Collision Avoidance Of Ships, Daeng Paroka, Muhammad Fahmi Kamil, Andi Haris Muhammad
Experimental Study On Automatic Control For Collision Avoidance Of Ships, Daeng Paroka, Muhammad Fahmi Kamil, Andi Haris Muhammad
Makara Journal of Technology
Automatic control system is widely applied to control the ship direction or heading angle in accordance with the decided trajectory. Several methods for improving performance of control system have been developed such as Proportional-Integral-Derivative (PID) control and fuzzy logic based control. Within the last decade, application of automatic control system is not only for ship navigation but also for avoiding collision risk of ships in seaways. This paper discusses the application of automatic control system for avoiding ship collision by free running experiment. Fuzzy logic based control was developed using Mamdani Centroid method to estimate the necessary rudder angle in …
Innovation Of Hydrocarbon Investigation Using Audio-Magnetotelluric In Cepu Field, Indonesia, Iqbal Fauzi Aditama, Widodo Widodo
Innovation Of Hydrocarbon Investigation Using Audio-Magnetotelluric In Cepu Field, Indonesia, Iqbal Fauzi Aditama, Widodo Widodo
Makara Journal of Technology
An audio-magnetotelluric (AMT) survey has been performed at Cepu oil field located in Indonesia. The objective of this research is to detect resistivity structures of this important hydrocarbon rock. This research can be classified as an innovation in application of the AMT method for hydrocarbon exploration. The lack of seismic resolution has been provided by the AMT method, especially in the location of sub-basalt and sub-salt plays. In additional, the cost of AMT survey is quite low compared to seismic. The forward modelling is included in this research to understand the measurement data response from a mathematical model. In the …
Adsorption Of Cu(Ii) Ions In Aqueous Solution Onto Limonia Acidissima Shellbased Activated Carbon: Kinetic And Isotherm Studies, Abrar Muslim, Syahiddin Dahlan Said, Gita Suci Hariati, Siti Fajar Karina, Fauzi Muhammad Djuned, Rizka Mulyawan
Adsorption Of Cu(Ii) Ions In Aqueous Solution Onto Limonia Acidissima Shellbased Activated Carbon: Kinetic And Isotherm Studies, Abrar Muslim, Syahiddin Dahlan Said, Gita Suci Hariati, Siti Fajar Karina, Fauzi Muhammad Djuned, Rizka Mulyawan
Makara Journal of Technology
Adsorption of Cu(II) ions from aqueous solution using activated carbon prepared from Limonia acidissima fruit shell (LAFS-AC) was conducted in batch mode experiments at pH 5 (±0.15), 100 rpm and 1 atm. The effects of contact time, initial Cu(II) ions concentration, KOH concentration, and adsorption temperature on Cu(II) ions adsorption capacity were investigated. Fourier Transform Infrared Spectroscopy and Scanning Electron Microscopy analyses were performed to investigate the active site and surface morphology of the LAFS-AC, respectively. The Cu(II) ions adsorption was fitted very well (R2 = 0.94 on average) to the pseudo second-order adsorption kinetic with the adsorption capacity and …
Experimental Study Of The Chimney Height Variation Against Double Pots Biomass Stove Performance, Faisal Faisal, Adi Setiawan, Wusnah Wusnah, Khairil Khairil, Luthfi Luthfi, Mona Fajriana
Experimental Study Of The Chimney Height Variation Against Double Pots Biomass Stove Performance, Faisal Faisal, Adi Setiawan, Wusnah Wusnah, Khairil Khairil, Luthfi Luthfi, Mona Fajriana
Makara Journal of Technology
This research aims to get optimal chimneys height of double pots biomass stove. Optimal chimneys height needs to provide best performance of the stove. Experimental study was done by varied the chimney heights. Water boiling test as the standard method was used to obtained stove performance for each chimney height variation. The results showed that best performance stove was the one with 1.65 cm chimney height, with thermal efficiency at 37.66%.
Indonesia’S Municipal Solid Waste 3r And Waste To Energy Programs, Farizal Farizal, Radityo Aji, Amar Rachman, Nasruddin Nasruddin, Teuku Meurah Indra Mahlia
Indonesia’S Municipal Solid Waste 3r And Waste To Energy Programs, Farizal Farizal, Radityo Aji, Amar Rachman, Nasruddin Nasruddin, Teuku Meurah Indra Mahlia
Makara Journal of Technology
Like most cities in the world, population in Indonesia continues to grow every year. Problems that can arise from this are the increasing amount of municipal solid waste (MSW) production and the growing demand for electricity. To deal with the problems, Indonesian government runs 3R (Reduce, Reuse and Recycle) and WTE (Waste to Energy) Programs simultaneously. 3R program aims to reduce the number of waste, while WTE program aims to generate electricity as an alternative energy source. This study aims to find out the optimal proportion of MSW treated through the 3R and WTE programs. For the purpose, a goal …
Energy Potentials Of Briquette Produced From Tannery Solid Waste, Olatunde Ajani Oyelaran, Faralu Muhammed Sani, Olawale Monsur Sanusi, Olusegun Balogun, Adeyinka Okeowo Fagbemigun
Energy Potentials Of Briquette Produced From Tannery Solid Waste, Olatunde Ajani Oyelaran, Faralu Muhammed Sani, Olawale Monsur Sanusi, Olusegun Balogun, Adeyinka Okeowo Fagbemigun
Makara Journal of Technology
The vast quantity of waste generated from industries is one of the serious outcomes of unplanned development, resulting into quantum of hazardous organic and inorganic waste generating daily. Proper waste management is a challenging issue that must be addressed adequately. This is, therefore, carried out with a view of assessing the energy and combustion quality of tannery solid waste with a view of converting them into briquettes for cooking, heating and small home industries and reducing the menace caused by tannery waste disposal. The results of the experiments showed that the combustion rate ranged between 0.171 and 0.217 g/min, the …
Study On Semiconductor Properties Of Acetylide-Thiourea Fabricated Onto Interdigitated Electrodes (Ides) Platform Towards Application In Gas Sensing Technology, Adibah Izzati Daud, Wan M. Khairul, M. I. N. Isa, Khairul Anuar Abdul Wahid
Study On Semiconductor Properties Of Acetylide-Thiourea Fabricated Onto Interdigitated Electrodes (Ides) Platform Towards Application In Gas Sensing Technology, Adibah Izzati Daud, Wan M. Khairul, M. I. N. Isa, Khairul Anuar Abdul Wahid
Makara Journal of Technology
In the past few decades, the unique properties of acetylide and thiourea moieties individually have attracted great attention from researchers in various fields to be developed in numerous applications in advanced materials technology, especially as an active layer in gas sensing devices. The molecular systems of acetylide and thiourea provide a wide range of electronic properties as they possess rigid π-systems in their designated structures. In this study, a derivative of acetylide-thiourea featuring N-(4[4-aminophenyl] ethynyl benzonitrile)-N’-(4-ethyl benzoyl) thiourea (TCN) has been synthesised with the general formula of ArC(O)NHC(S)NHC≡C)Ar adopted the system of D-π-A for the significant development of conductive materials. …
Assessment On Heck-Immine Derivatives As Organic Semiconductor Materials, Rafizah Rahamathullah, Lim Keemi, Wan M. Khairul
Assessment On Heck-Immine Derivatives As Organic Semiconductor Materials, Rafizah Rahamathullah, Lim Keemi, Wan M. Khairul
Makara Journal of Technology
This paper reports the synthetic, characterization and theoretical evaluation of new class of hybrid Heck-immine system involving mixed moieties of vinylene (C=C) and azomethines (CH=N) which has been successfully integrated into an addition of organic semiconducting materials. The assessment of 4-[(hexyloxyphenyl)methylene]amino)-4’-chloro-stilbene (HEXCS) based on Donor (D)-π-Acceptor (A) was evaluated as active semiconductor material candidates via several spectroscopic and analytical techniques. In turn, the investigation of its potential as dopant system in conductive film was successfully deposited on indium tin oxide (ITO) coated substrate via spin coating method. The relationship between electronic and optical properties, chemical modelling at molecular interactions and …
Personality Trait Based Intervention For Workplace Accident Prevention, Yassierli Yassierli, Nurhayati Nurhayati, Marisa Anatasia, Shamsul Bahri
Personality Trait Based Intervention For Workplace Accident Prevention, Yassierli Yassierli, Nurhayati Nurhayati, Marisa Anatasia, Shamsul Bahri
Makara Journal of Technology
Previous research has suggested that some traits may be useful as the predictors of risk behaviours behaviors. Therefore, personality traits seem to play a role in accident involvement. The purpose of this study is was to explore the relationship between the personality traits based on the Big Five Inventory (BFI) and worker accident experiences in order to elaborate personality traits based intervention for workplace accident prevention. A cross cross-sectional study was conducted among 173 workers in a cement company using a set of questionnaires consisting of respondents’ characteristics, BFI, and self-reported accident experience. The correlations were computed using Goodman Kruskal’s …
Physical And Mechanical Properties Of Palm Kernel Oil-Based Polyester Polyurethane/Multi-Walled Carbon Nanotube Composites, Khairul Anuar Mat Amin, Muhammad Alif Zailani, Nurul Nabilah Zulkifli, Khairiah Haji Badri
Physical And Mechanical Properties Of Palm Kernel Oil-Based Polyester Polyurethane/Multi-Walled Carbon Nanotube Composites, Khairul Anuar Mat Amin, Muhammad Alif Zailani, Nurul Nabilah Zulkifli, Khairiah Haji Badri
Makara Journal of Technology
In this study, polyurethane (PU) films from palm kernel oil-based polyester (PKO-p) incorporated multi-walled carbon nanotubes (MWNTs) are prepared via a evaporative casting method. Nanoparticle fluid dispersions containing 0.02%, 0.03%, and 0.05% wt. of MWNTs are added into PKO-p based resin and mixed by digital probe sonicator for 30 min followed by mixing with isocyanate to produce PU-MWNTs composite films. The mechanical properties, swelling, water vapour transmission rate (WVTR) and conductivity of the PU-MWNTs composite films are examined. Results show that the toughness (T) or flexibility, the tensile strength (TS), and Young’s modulus (YM) values of PU-MWNTs composite films increase …
Ethanol Purification Using Activated Natural Zeolite, Chandra Wahyu Purnomo, Nelliza Putri, Indra Perdana, Hirofumi Hinode
Ethanol Purification Using Activated Natural Zeolite, Chandra Wahyu Purnomo, Nelliza Putri, Indra Perdana, Hirofumi Hinode
Makara Journal of Technology
Bio ethanol is one of the potential fuels in the future. However, ethanol in water mixture has an azeotropic concentration of 95.6 wt. %, which makes it difficult to purify further. The common method of purification is by using an azeotropic distillation column, which requires an intensive energy and an addition of specific solvent. In this study, ethanol purification is done using an adsorption column packed with zeolite Raschig rings. The natural zeolite ring was modified beforehand using the NaOH solution to enhance the material’s water adsorption performance. The ethanol purity can reach more than 99% with the modified zeolite …
Spectroscopic Contrast Of Diarylethene Molecules On Octanethiol Monolayer, Arramel Arramel, Tibor Kudernac, Nathalie Katsonis, Bernard Lucas Feringa, Bart Jan Van Wees
Spectroscopic Contrast Of Diarylethene Molecules On Octanethiol Monolayer, Arramel Arramel, Tibor Kudernac, Nathalie Katsonis, Bernard Lucas Feringa, Bart Jan Van Wees
Makara Journal of Technology
We present a systematic scanning tunneling microscopy (STM) study of bias-dependent imaging of disulfur diarylethene (2S-DE) molecules on octanethiol (C8) monolayer at room temperature. In a rigid confinement of the C8 matrix, we did not observe any significant variation in the appearance of the 2S-DE. On the contrary, a reversal in the apparent height of the 2S-DE was present when the molecule was situated on a gold vacancy island. We attributed this finding to the presence of a new electronic state that became accessible for a tunneling event. In addition, the C8 surface structure underwent a reversible phase transformation from …
Residual Stress Measurements On The Tig Weld Joint Of 57fe15cr25ni Austenitic Steel For Structural Material Applications By Means X-Ray Diffraction Techniques, Parikin Parikin, Agus Hadi Ismoyo, Riza Iskandar, Arbi Dimyati
Residual Stress Measurements On The Tig Weld Joint Of 57fe15cr25ni Austenitic Steel For Structural Material Applications By Means X-Ray Diffraction Techniques, Parikin Parikin, Agus Hadi Ismoyo, Riza Iskandar, Arbi Dimyati
Makara Journal of Technology
Measurements of residual stress on the 57Fe25Cr15Ni steel plate with no-filler TIG-welding process were carried out. This work was conducted to determine the nature of weld ability in synthesized steel. The bulks were formed in a dimension of 30x20x7 mm3 to ease data retrieval. Results show that the largest residual stress occurred in the weld metal area, amounting to 82.40 MPa with lattice stretching of 0.18%. Conversely, the values decreased to 65.92 MPa and a stretch of 0.14% in the HAZ area. This residual stress is a tensile stress that can reduce the mechanical strength of the material since it …
An Efficient Palladium-Thiourea Catalysed Heck Cross-Coupling Reaction For Molecular Electronic Interest, Wan M. Khairul, Mohd Shahrul Shahmi Md Shariff, Rafizah Rahamathullah, Adibah Izzati Daud, Mustaffa Shamsuddin, Siti Kamilah Che Soh
An Efficient Palladium-Thiourea Catalysed Heck Cross-Coupling Reaction For Molecular Electronic Interest, Wan M. Khairul, Mohd Shahrul Shahmi Md Shariff, Rafizah Rahamathullah, Adibah Izzati Daud, Mustaffa Shamsuddin, Siti Kamilah Che Soh
Makara Journal of Technology
The synthesis and utilization of C-C bonds formation are concerned about the key steps for the building of several conducting molecular electronics involving many asymmetric catalysts approached, which is an essential task that most researchers would ignore in preparing these materials to enhance the production yield of cross-coupling materials. Despite the enormous progress, there still remains a great demand for economic and practicable cross-coupling processes involving ultra-low catalyst loadings with high turnover numbers due to the employment of conventional metal catalyst. Thus, there has been an excessive interest to cultivate non-phosphine palladium catalysts for excellent achievement of activity, stability, and …
Urban Drainage Management And Flood Control Improvement Using The Duflow Case Study: Aur Sub Catchment, Palembang, South Sumatra, Indonesia, Charlotte De Fraiture, Robiyanto Hendro Susanto, F.X. Suryadi, Harrini Mutiara Hapsari Wahyu
Urban Drainage Management And Flood Control Improvement Using The Duflow Case Study: Aur Sub Catchment, Palembang, South Sumatra, Indonesia, Charlotte De Fraiture, Robiyanto Hendro Susanto, F.X. Suryadi, Harrini Mutiara Hapsari Wahyu
Makara Journal of Technology
Urban flooding often times staggers the livelihood in an urban area, which most likely happens in the lowland urban area. Therefore, the existing urban drainage system should be improved in order to tackle the upcoming urban flooding events, which are more than likely to be more devastating than those in the previous years. The research location is in Palembang, Sumatra, Indonesia, where 30% of its urban part is a lowland area. The selected Aur Sub Catchment is located in Silaberanti. The main objective of this research is to improve the current drainage system in order to achieve the optimal design …
A Study On Dielectric Properties Of The Cellulose Derivative-Nh4br-Glycerol- Based The Solid Polymer Electrolyte System, Nur Muhitul Jalilah Rasali, Saifful Kamaluddin Muzakir, Ahmad Salihin Samsudin
A Study On Dielectric Properties Of The Cellulose Derivative-Nh4br-Glycerol- Based The Solid Polymer Electrolyte System, Nur Muhitul Jalilah Rasali, Saifful Kamaluddin Muzakir, Ahmad Salihin Samsudin
Makara Journal of Technology
The characterization of biopolymer-based solid polymer electrolytes (SPEs) has been carried out in this present work. Cellulose derivative was chosen due to its superior physical attributes. In this work, NH4Br-doped glycerol plasticized carboxyl methylcellulose-based SPEs were successfully prepared via the solution casting method. The conductivity and dielectric properties of the prepared films were investigated using the impedance analysis which presented ~1.91×10-3 Scm-1 (with addition of 6 wt% of glycerol). In addition, the studied SPE system shows a non-Debye behaviour without a single relaxation time. The findings of the research indicate that the complexes of NH4Br and glycerol in the cellulose …
Recommendation Of A New Transit Performance Measure In The National Transit Database, Fatemeh Baratian-Ghorghi, Hossein Ahmadianyazdi
Recommendation Of A New Transit Performance Measure In The National Transit Database, Fatemeh Baratian-Ghorghi, Hossein Ahmadianyazdi
Journal of Public Transportation
The frequency of incidents negatively changes public perception with regard to the public safety in transit systems. The level of safety expressed as performance measures, ensures contractors and users that a quality safety level is maintained. Both the private and public sectors in the U.S. annually report accurate data to the National Transit Database (NTD) to be used in assessing the progress of the nation's public transportation systems. Although they must provide both the annual report and monthly reports including Safety and Security data, measures are only grouped into the indicators of efficiency and effectiveness of a system and there …
In Vitro Toxicity Evaluation Of Caffeine Imprinted Polymer (Caf-Mip) For Decaffeination Method On Normal Chang Liver Cells, Fatimah Hashim, Faizatul Shimal Mehamod, Naizatul Akmal Nawi
In Vitro Toxicity Evaluation Of Caffeine Imprinted Polymer (Caf-Mip) For Decaffeination Method On Normal Chang Liver Cells, Fatimah Hashim, Faizatul Shimal Mehamod, Naizatul Akmal Nawi
Makara Journal of Technology
Over consuming of caffeine is one of the factors to a few health problems such as insomnia, hypertension and cardiovascular disease. This preliminary study was conducted to evaluate the Caffeine-Imprinted Polymer (CAF-MIP) toxicity that was synthesized for a new alternative method for decaffeination. It is crucial to evaluate the toxicity of CAF-MIPas this product is potential to be used as complimentary with any drinks containing caffeine. In this study, the CAF-MIP toxicity potential was confirmed on Normal Chang Liver cell (NCLC) based on its IC50 value andacridine orange and propidium iodide (AO/PI) staining for mode of cell death observation.Proliferation assay …
Influence Of Polyethylene Glycol (Peg) In Cmc-Nh4br Based Polymer Electrolytes: Conductivity And Electrical Study, Nur Khalidah Zainuddin, Ahmad Salihin Samsudin
Influence Of Polyethylene Glycol (Peg) In Cmc-Nh4br Based Polymer Electrolytes: Conductivity And Electrical Study, Nur Khalidah Zainuddin, Ahmad Salihin Samsudin
Makara Journal of Technology
The present work was carried with new type and promising polymer electrolytes system by development of carboxyl methylcellulose (CMC) doped NH4Br and plasticized with polyethylene glycol (PEG). The sample was successfully prepared via solution casting with no separation phase and good mechanical properties. The electrical conductivity and thermal conductivity of CMC-NH4Br-PEG based PEs system have been measured by the electrical impedance spectroscopy method in the temperature range of 303–373 K. The highest ionic conductivity gained is 2.48 x 10-3 Scm-1 at ambient temperature for sample contain with 8 wt. % PEG. It can be concluded that the plasticized is accountable …
Encapsulation Process Of Propolis Extract By Casein Micelle Improves Sunscreen Activity, Muhamad Sahlan, Dara Dienayati, Darul Hamdi, Soraya Zahra, Heri Hermansyah, Malyn Chulasiri
Encapsulation Process Of Propolis Extract By Casein Micelle Improves Sunscreen Activity, Muhamad Sahlan, Dara Dienayati, Darul Hamdi, Soraya Zahra, Heri Hermansyah, Malyn Chulasiri
Makara Journal of Technology
Propolis, a wax bee glue, have antioxidant activity and effective as broad spectrum UVB and UVA photoprotection sunscreens agent. To improve photoprotection activity in sunscreen cream, the propolis was encapsulated by casein micelle. The Indonesian propolis was extracted by ethanol and separated the wax by freeze precipitation. The extract was encapsulated by casein and reduced their size by ball mill homogenizer with the encapsulation efficiency about 80% and size of particles about 80 nm. The particles was applied in sunscreen cream, evaluate their stabillity and photoprotection activity Sun Protection Factor (SPF) spectrophotometer (Optometric 290s). The results shows that the selected …
Nano-Channels Early Formation Investigation On Stainless Steel 316ti After Immersion In Molten Pb-Bi, Abu Khalid Rivai, Mardiyanto Mardiyanto, Annette Heinzel
Nano-Channels Early Formation Investigation On Stainless Steel 316ti After Immersion In Molten Pb-Bi, Abu Khalid Rivai, Mardiyanto Mardiyanto, Annette Heinzel
Makara Journal of Technology
Development of fuel cladding and structural materials in Pb-Bi environment, especially at high temperature, is a critical issue for the deployment of LFR (Lead alloy-cooled Fast Reactor) and ADS (Accelerator Driven Transmutation System). This is because of the corrosive characteristic of Pb-Bi to metals as constituent materials of fuel cladding and structural of the reactors. Corrosion test of a high-chromium austenitic stainless steel i.e. SS316Ti in molten Pb-Bi at 550 ºC has been carried out for about 300 hours continuously. The characterization using SEM-EDS (Scanning Electron Microscopy - Energy Dispersive X-ray Spectroscopy) showed that an iron oxide as the outer …
Synthesis Of Libob Fine Powder To Increase Solubility, Etty Marti Wigayati, Titik Lestariningsih, Christin Rina Ratri, Ibrahim Purawiardi, Bambang Prihandoko
Synthesis Of Libob Fine Powder To Increase Solubility, Etty Marti Wigayati, Titik Lestariningsih, Christin Rina Ratri, Ibrahim Purawiardi, Bambang Prihandoko
Makara Journal of Technology
Lithium bis (oxalate) borate or LiBOB compound has captured interest of researchers, because it is potentially viable to be used as electrolyte salt in lithium-ion battery system. This compound is easy to synthesize and considered to be more environmentally friendly compared to conventional electrolyte salt because LiBOB does not contain halogen element. This research focused on the synthesis of LiBOB fine powder, which main purpose is improving LiBOB salt solubility in liquid electrolyte solution. This will aid the ion transfer between electrodes which in turn will increase the electrolyte performance. Solid state reaction was employed in this experiment. Synthesis of …
Sorption And Ion Exchange Behaviour Of Natural Zeolite Packing, Chandra Wahyu Purnomo, Bernice Lenora, Wiratni Budhijanto, Hirofumi Hinode
Sorption And Ion Exchange Behaviour Of Natural Zeolite Packing, Chandra Wahyu Purnomo, Bernice Lenora, Wiratni Budhijanto, Hirofumi Hinode
Makara Journal of Technology
It is well known that zeolite is an efficient metal ions adsorbent. The excess charge of the zeolite building blocks i.e. (AlO4)-5 and (SiO4)-4 creating a negative surface charge that attract metal cations. Beside the surface charge, zeolite also has three dimensional pore structure and reasonably large surface area which also can be used as adsorption sites. Ease of cation uptake make it suitable for many process with adsorption and desorption application. This study was conducted to observe the sorption and ion exchange behaviour of zeolite-betonite rings toward iron and cobalt cations. The results shows that the adsorption patterns follow …
Purification Simulation With Vapor Permeation And Distillation-Adsorption In Bioethanol Plant, Misri Gozan, Mia Sari Setiawan, Kenny Lischer
Purification Simulation With Vapor Permeation And Distillation-Adsorption In Bioethanol Plant, Misri Gozan, Mia Sari Setiawan, Kenny Lischer
Makara Journal of Technology
High purity of Bioethanol is required in biofuel mixing with gasoline (EXX). In bioethanol production line, the azeotropic property of ethanol-water becomes the barrier for purification process. This study examined two bioethanol separation processes by support of simulation tools, Superpro Designer 9.0 software. Ethanol purity and a low costeconomical process were the major considerations. Purification method of vapor permeation membrane technology was compared with distillation-adsorption method. Data from previous lab experiments and some literatures were used. The results showed that distillation-adsorption method is more economical compared to vapor permeation technology. Payback period of the simulation is 3.9 years and 4.3 …
A Plastic Design Method For Rc Moment Frame Buildings Against Progressive Collapse, Hadi Faghihmaleki
A Plastic Design Method For Rc Moment Frame Buildings Against Progressive Collapse, Hadi Faghihmaleki
Makara Journal of Technology
In this study, progressive collapse potential of generic 3-, 8- and 12-storey RC moment frame buildings designed based on IBC-2006 code was investigated by performing non-linear static and dynamic analyses. It was observed that the model structures had high potential for progressive collapse when the second floor column was suddenly removed. Then, the size of beams required to satisfy the failure criteria for progressive collapse was obtained by using the virtual work method; i.e., using the equilibrium of the external work done by gravity load due to loss of a column and the internal work done by plastic rotation of …