Civil Engineering
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Civil Engineering
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Item A Comparative Analysis of Grillage Method and Beam line Analysis of a Reinforced Concrete Waffle Brifge Deck(Nigeria Journal of Engineering and Applied Sciences (NJEAS), 2022-01-23) Adamu, H. N.; Abbas, B. A.; Abubakar, M.; Yusuf, A.; Kolo, D. N.; Shehu, M.The analysis of reinforced concrete waffle bridge deck using Chanchaga bridge as a case study was carried out with the aid of computer program written in MATLAB. The bridge deck which is a beam bridge was idealized to be a waffle slab. A mathematical model of the bridge was developed using the method of grillages because very complex shapes of problem domain with prescribed conditions can be handled easily using the method. The bridge deck was modelled as interconnection of grid elements. The analysis was carried out using direct stiffness matrix method. The nodal displacements and the resulting static internal forces; shear forces, bending moments and twisting moments of each grid element were determined using the matrix. The results obtained using the method of grillages were then compared with beam line analysis and the former method gave a 10% decrease in forces which will result in the reduction of overall design and materials by 10%.Item Analysis of Statically Determinate Trusses using Exact Method (Joint Resolution Method) and Matrix Stiffness Method(USEP: Journal of Research Information in Civil Engineering, 2017) Abdullahi, A.; Yusuf, I. T.; Abubakar, Mahmud; Aminulai, H. O.; Yusuf, A.; Alhaji, B.Matrix Stiffness Method (MSM) as a tool for static analysis of structures is premised on the principle of Finite Element Method (FEM), which in itself is a numerical/approximate method capable of giving only approximate results. However, Joint Resolution Method (JRM) is one of the most popular classical/exact methods of static analysis capable of giving exact results. This paper presents an analysis of a statically determinate 2-D truss using Exact/Joint Resolution Method (JRM) and Matric Stiffness Method (MSM) to ascertain the validity of the latter against the former. In the JRM, the support reactions and internal member forces were obtained from considerations of the equilibrium conditions of the entire truss and isolated joints respectively. On the other hand, a computer program was written in MATLAB 7.8.0 (R2009a) based on the principles of MSM for ease of computation and increased accuracy to solve for member forces and reactions of the same truss. The element properties were obtained and employed to calculate the element stiffness matrices, these were then assembled into the global stiffness matrix, from which the unknown displacements, member forces and support reactions were calculated. The results obtained from using both JRM and MSM were found to be exactly the same or very close, with percentage errors ranging between 0% and 3%. Hence MSM results as compared to JRM have 97% accuracy and above, and can therefore be relied upon.Item Assessment of Safety Provisions on Building Construction Sites in Abuja, Nigeria: Professionals and Workers Perspectives(Proceedings of the 2nd International Engineering Conference, Federal University of Technology Minna, Nigeria., 2017-01-02) Kolo, D. N.; Yitmen, I.; Tsado, T. Y.; Abdullahi, M.; Yakubu, D. M.Despite the growth of the building construction sector in Nigeria, the provision of the basic safety materials and facilities to workers remains a challenge. The construction industry is believed to be a pillar of domestic economy in most nations; it is believed to contribute about 2.08% to the GDP of Nigeria. Yet, the rate of non-fatal, fatal injuries and illnesses exceeds that of many other industries, the construction industry has the most fatality rate when compared to other industry sectors. This paper examines the level of provision of the basic safety materials and facilities to workers by contractors in the Nigerian construction industry, the study employed the work study and field survey research method. Structured questionnaire were administered to the Architects, Engineers, Project managers and Contractors as well as the workers engaged in construction. The research exposed the neglect in the provision of safety materials and facilities on the part of the contractors. Scaffolds and shovels where the materials readily provided by the contractors from the list of safety materials provided as recommended by the regulatory authorities. The Institute of safety professionals of Nigeria, Council of registered builders of Nigeria and other statutory government agencies should be more diligent to effectively monitor the activities of building construction contractors in Abuja, Nigeria.Item Assessment of the Compressive Strength of Concrete Produced with Fine Aggregate from Different Locations in Minna(3rd International Engineering Conference (IEC 2019) Federal University of Technology, Minna, Nigeria, 2019) Aminulai, H. O.; Abdullahi, A.; Abubakar, Mahmud; Abdulrahman, H. S.; Alhaji, B.; Joseph, O. F; Aliyu, S. YThe construction industry in Nigeria has been witnessing serious collapse of buildings resulting from the qualities of materials used in their construction. This continuous collapse necessitates the need to investigate some of the materials used in the production of the building components in order to ascertain their appropriateness. This research thus investigates the compressive strength of concrete produced using fine aggregate from different locations in Minna. Fine aggregates were obtained from Chanchaga, Maikunkele, Bosso, Lapai Gwari and Garatu areas of Minna and subjected to series of tests namely: sieve analysis, Specific gravity, bulk density, moisture content, and water absorption. Concrete samples were produced using the mix ratio 1:2:4 and the water/cement ratio of 0.6. These samples were subjected to both the slump test and compressive strength test. For each of the fine aggregates, nine cubes of concrete (150mm x 150mm x 150mm) were cast, cured and tested at 7, 14 and 28 days. The results obtained for the mean compressive strength of the concrete produced shows that they all have mean strength greater than 20N/mm2 with fine aggregate from Chanchage having the highest mean of 25.17N/mm2 at 28days of curing. Thus all the fine aggregates could be used in the production of structural lightweight concrete but for structures that require higher strength, the fine aggregate from Chanchaga is recommendedItem Barriers to the Adoption of Building Information Modelling in Nigerian Construction Industry(Proceedings of the 1st International Civil Engineering Conference, Department of Civil Engineering, Federal University of Technology Minna, Nigeria, 2018-01-02) Kolo, D. N.; Tsado, T. Y.; Bala, A.; Adinoyi, S. A.; Kolo, D. N.Building Information Modeling (BIM) involves the development and use of computer generated n-D models to simulate, plan, design, construct, adapt, operate, maintain, renovate, and ultimately beneficially deconstruct a building at the end of its life cycle. BIM represents a new paradigm in construction, it encourages the integration of roles of construction stakeholders enabling them to visualize the project to be built and further identifying potential issues that may occur during the operational phase of buildings. This study assessed the barriers to the adoption of BIM in the Nigerian construction industry and further highlighted ways to improve its adoption. A total of 50 questionnaires were administered to construction professionals in Abuja, Nigeria. Forty (40) retrieved questionnaires were analysed using Statistical Package for social Sciences (SPSS 21) and used for this study, it was revealed that there was generally a low awareness on the use of BIM among construction professionals. The major barrier to using BIM was lack of skilled personnel while the major means of ensuring its adoption was Provision of basic BIM infrastructure. These problems can be effectively tackled by increased support from government and construction industry stakeholders for its use; stressing the benefits derivable, training and retraining of key construction professionals taking into consideration peculiarities to the Nigerian construction industry.Item Comparative Assessment of Macroscopic Traffic Flow Properties Estimation Methods: A Case for Moving Car Observer Method(ENGINEERING SCIENCE AND TECHNOLOGY INTERNATIONAL RESEARCH JOURNAL, 2017) Abdulrahman, H. S.; Almusawi, A. A.; Abubakar, MahmudDifferent methods of estimating macroscopic traffic properties is expected to have varying results even when they are carried out on the same road and during the same time interval. A comparative assessment was carried out between traffic data collected at a point and that collected over a short section; Moving car observer method(MCO). Student’s t-test was used to evaluate both data and it was observed that there was no significant difference between them. The MCO method correlates well with conventional data collection method and it can be used as a substitute for it, assuming conventional data collection method is trueItem Comparison of Drying Shrinkage Models of IOT Concrete(2nd International Engineering Conference (IEC 2017) Federal University of Technology, Minna, Nigeria, 2017) Oritola, S. F.; Saleh, A. L.; Mohd Sam, A. R.; Abubakar, Mahmud; Alhaji, B.Problems associated with drying shrinkage of concrete is still a major source of concern in the construction industry. Due to the hygral nature of concrete, particularly the instability of the volume as a result of drying shrinkage, concrete will crack at any stage during its service life. The depletion of the environment due to huge consumption of sand for construction is another major problem. Iron ore tailings (IOT), an industrial waste, generated during the production of iron ore is utilized in concrete to lessen the environmental problems. The iron ore tailings was sourced from a local iron ore producing mine and the material was used as partial replacement for sand to produce normal weight concrete. The drying shrinkage of this concrete was compared with that of the control normal weight concrete. The ultimate drying shrinkage of the concrete samples were further studied, using three prediction models. The inclusion of iron ore tailings as fine aggregate in concrete contributed to reduction of the drying shrinkage recorded at 28, 56 and 90 days as well as the ultimate drying shrinkage. The drying shrinkage of concrete and the predicted ultimate drying shrinkage recorded by the B3 and GL2000 models agreed more closely, as compared with the recorded values obtained using ACI209R model.Item Development of an Android Based Mobile Application for Design and Detailing of Pad Foundations to BS8110(Epistemics in Science, Engineering and Technology, 2017) Yusuf, A.; Aminulai, H. O.; Abdullahi, A.; Abubakar, Mahmud; Alhaji, B.Many innovative computer software have been developed to perform the task of designing and detailing structural elements such as beams, columns, slabs and foundations. This design and detailing can be done using mobile devices but software developed to operate on such devices have not been fully developed. However, this research is aimed at developing an android based mobile application for the design of pad foundations to Bs8110. The mobile application developed designs isolated axially loaded-only; axially loaded with moment pad footings as well as combined pad footings. The mobile application developed was tested using three typical test parameters and results compared to the manual computations. There was no significant variation in the steel sections required and provided for the manual design and that generated by the mobile application. The steel required by manual design for the axially loaded pad footing was 835mm2/m and that generated by the application was 837.2mm2/m. That of the axially loaded with moment gave required steel section as 1019mm2/m using manual design. This android based mobile application would thus give the structural engineer the leverage to design pad footings anywhere and anytime.Item Dimensional Compliance and Compressive Strength of Sandcrete Hollow Blocks Produced in Minna Metropolis(International Engineering Conference (IEC 2017) Federal University of Technology, Minna, Nigeria, 2017) Yusuf, Abdulazeez; Aminulai, H.O.; Abdullahi, A; Alhaji, B; Alalade, A.I.The study was carried out to investigate the level of dimensional compliance of commercially produced sandcrete blocks in Minna metropolis and also determine the compressive strength of collected block samples. One hundred and sixty (160), nine (9) inch hollow sandcrete block samples were collected from ten sandcrete block producing companies. Fine aggregate samples were collected from the hollow sandcrete block companies along with the hollow sandcrete blocks. Sieve analysis was carried out on the soil samples. Density, water absorption and dimension of the collected Sandcrete block samples were determined. Compressive strength at 7 and 14 days curing age was also determined. Results indicate that the fine aggregates used were not suitable for block making as the coefficient of uniformity of soil samples range from 0.71 – 1.89 while the coefficient of curvature lie within 2.57 to 4.80 which do not conform to standard. None of the Sandcrete block production company met the required standard dimension as specified by Nigeria Industrial standard (NIS). Test results also revealed that the water abortion capacity of all collected block samples were below 12% maximum recommended by NIS except for block industry M which recorded 12.08%. The density was between 1.59 g/cm3 – 5.05 g/cm3, greater than 1.5g/cm3 specified by NIS. The average compressive strength was between 0.21N/mm2 - 1.11N/mm2 at 14 days curing age which was less than 3.45 N/mm2 specified by NIS. It was recommended that block producing industries should be enforced by the standard organization of Nigeria to follow the recommended standard dimensions by carrying out routine check.Item Durability of Sun Dried Clay Bricks Admixed with Cow Cone ash for Sustainable Development(USEP: Journal of Research Information in Civil Engineering, 2022) Abubakar, Mahmud; Abdullahi, Hashim; Yabagi, Maikudi Sani; Adamu, Hawawu NanaHousing has remained a major challenge in Nigeria because of the increasing population and cost of building materials. To tackle the problem of housing deficit in the country, the government of Nigeria for some time now has been clamoring for the use of local materials in the construction industry to limit costs of construction. Thus, this paper looks at the potential of using cow bone ash (CBA) to improve the durability of sun dried clay brick for sustainable development. Consistency properties, shrinkage, compressive strength and crack behavior of clay-cow-bone ash bricks were investigated in accordance with relevant codes and standards. It was however observed that, consistency properties and shrinkage decreased with increased percentage cow-bone ash addition while compressive strength and crack improved up to 10% CBA addition indicating that buildings made of clay-CBA composite could be more stable and durable than the ones made from clay alone. It is therefore recommended that Cow-bone ash can be used to improve the durability of clay brick at optimum addition level of 10%. Clay brick admixed with cow bone ash strongly contributes to the attainment of 12 out of the 17 sustainable development goals.Item Effect of Partial Replacement of Cement with Cow Dung Ash Using Bida Natural Coarse Aggregate(2023-02-04) Abbas, B. A.; Yusuf, A.; Kolo, D. N.; Aboje, A. A.; Mahmud, M. B.; Ndaiji, A. U.The research investigates the effect of partial replacement of cement with cow dung ash (CDA) in concrete production using Bida natural coarse aggregate. Water to cement ratio and mix ratio of 0.6 and 1:2:4 was adopted respectively. The aggregates used were characterized and the cow dung was calcined at a temperature between 400-500oC. Concrete was produced using CDA as cement replacement at 0%, 5%, 10%, 15%, 20%, 25%, 30%, 35% and 40%. Slump of the freshly produced concrete was determined and the compressive strength of the hardened concrete was determined at 7, 21 and 28 days of curing. The sum of SiO2, Al2O3 and Fe2O3 in CDA exceeds the 70% minimum specified by ASTMC 618-12. The slump of the fresh concrete ranges from 0 – 40 mm while the compressive strength at 28 days curing duration ranges from 12.59N/mm2 19.29N/mm2 and density was 2323.95kg/m3 – 2554.59kg/m3 respectively. The test results revealed that the compressive strength decrease with increase in CDA content and increase with curing age. The strength results indicate that there was no much significant difference between the control specimen with 0% CDA and that containing 5% CDA. This implies that concrete made using CDA as partial replacement for cement can be used for structural applications such as in the construction of reinforced concrete slabs, beams, columns and foundations. The study concluded that CDA has pozzolanic properties and can be used to replace up to 10% cement in concrete produced using Bida natural coarse aggregate.Item EFFECT OF PARTIAL REPLACEMENT OF FINE AGGREGATE WITH SAWDUST IN LIGHT WEIGHT CONCRETE PRODUCTION USING BIDA NATURAL STONE AS COARSE AGGREGATE(3rd International Engineering Conference, Federal University of Technology, Minna, Nigeria, 2019) Alhaji, Bala; Abubakar, Mahmud; Yusuf, A.; Oritola, S. F.; Mohammed, S.; Kolo, D. N.This study investigated the effect of sawdust as partial replacement for Fine Aggregate in light weight concrete production. Sawdust was used to replace Fine Aggregate from 0% to 40% in steps of 5%. 150 x 150 x 150mm concrete cubes were cast for each replacement level, the concrete was cured and the compressive strengths were determined at 7, 21 and 28days curing period respectively. Increase in percentage of sawdust in concrete led to a constant reduction in the compressive strength values with a corresponding reduction in weight. From the result obtained, 5% replacement of Fine Aggregate with sawdust gave a maximum compressive strength 13.11 N/mm2. It was however concluded that the optimum replacement level of 5% can be used as plain concrete for blinding works.Item Effectiveness of Locust Bean Epicarp Extract on Re-vibrated Concrete Using Pebbles from Bida Environs as Coarse Aggregate(Sustainable Education and Development—Clean Energy Proceedings of the Applied Research Conference in Africa (ARCA), 2023, 2023) Abbas, Bala Alhaji; Mohammed, Tahir Abdul,; Yusuf, Abdulazeez; Kolo, Daniel Ndakuta; Abubakar, Mahmud; Abdullahi, AliyuIn this research, the effect of re-vibrated concrete using locust bean epicarp extract and Bida natural stone (Pebbles) as coarse aggregate was presented. Design/Methodology/Approach: The concrete mix of 1:2:4 and water cement ratio of 0.5 was adopted respectively. One hundred and sixty-eight (168) concrete cubes were produced in six (6) batches, 28 cubes were produced for control (mix A = 0% LBEE + 100% OPC) and 28 for (0, 5, 10, 15 and 20%) cement reduction respectively. Findings: The results of preliminary test of the aggregates indicate that they are suitable for concrete production and the chemical analysis of LBEE showed that it is a very good pozzolana. Concrete cubes were cast with re vibration time lag intervals of 10 min for the period of 60 min re-vibration process and cured for 7 and 28 days. The result shows that introduction of LBEE improve the compressive strength of concrete. The result obtained also shows that there is increase in compressive strength with the increase in re-vibration time lag of LBEE concrete, hence the maximum compressive strength was obtained at 60 min for all batches. The maximum compressive strength obtained at 28 days curing was 35.70 N/mm2 for B (0% cement reduction) at 60% re-vibration which is higher than 34.0 N/mm2 for control mix A. The optimum cement reduction of concrete made incor porating LBEE without re-vibration and the one with re-vibration is 5% and 20% respectively. Practical Implications: This types of concrete can be used for struc tural application such as in the construction of reinforced concrete slabs, beams, columns and foundations. Social Implications: In order to provide adequate housing for over increasing population of people in Bida and Environs the use of Locust Bean Epicarp Extract on Re-vibrated Concrete Using Pebbles from Bida as coarse aggre gate should be encouraged by individuals and government at all levels. This will also lead to reduction in construction cost of houses in Nigeria and create employment to the rural dwellers where locust bean trees are grown. Originality and Value:This study contributed to the pool of knowledge on how Locust Bean Epicarp Extract and concrete Re-vibration has improved the strength of concrete. Thus 20% and 5% is recommended as the optimum cement reduction of concrete made incorporating LBEE with re-vibration and the one without re-vibration respectively.Item Effectiveness of Locust Bean Epicarp Extract on Re-vibrated Concrete Using Pebbles from Bida Environs as Coarse Aggregate(Proceedings of the Sustainable Education and Development Research Conference, University of Environment and Sustainable Development, Somanya, Ghana, 2023-01-02) Abbas, B. A.; Mohammed, T. A.; Yusuf, A.; Kolo, D. N.; Abubakar, M.; Abdullahi, A.Item EFFECTS OF IRON ORE TAILINGS (IOT) ON THE MECHANICAL PROPERTIES OF CONCRETE(Conference Proceedings, 1st Faculty of Engineering and Technology Conference (FETiCON 2023), Jun. 5 - 7, 2023, University of Ilorin, Nigeria, 2023) Balarabe, F.; Abubakar, MahmudA lot of research has shown that iron ore tailings (IOT) is not only a source of pollutant but also has good pozzolanic properties. However, the behaviour of IOT concrete in service is yet to be fully reported. This research investigates the effect of IOT on the mechanical properties of concrete whose fine aggregates is partially replaced with IOT. Fine aggregates content in concrete of mix ratio 1:2:4 of 10 to 40% was replaced with IOT. Young’s modulus and Poisson ratio of the resulting concrete beams were determined by compression test. The results showed that 20% replacement of fine aggregates by IOT in the concrete mix gave the best mechanical properties of the resulting concrete. The Young’s modulus of the concrete was seen to increase by 26.53% when with 20% IOT content when compared to that without IOT. The Poisson ratio at 20% IOT content was seen to also decrease by 61.54% when compared to that without IOT. As such, 20% IOT for fine aggregate content replacement in concrete mix 1:2:4 is recommended for structural uses.Item Experimental Study on Steel fibre reinforced Natural aggregate concrete(Ethiopian International Journal of Engineering and Technology (EIJET), 2024-01-02) Kolo, D. N.; Graham, M.; Milad, A.The rising volume of pollution is a significant threat to achieving the United Nations’ goal for a sustainable society. Various approaches have been used to tackle pollution, including recycling wastes into completely new products or utilizing them to improve other materials. In this respect, this article presents the results of an experimental study conducted on waste steel fiber sourced from waste tyres in concrete production. The fibers measuring 2, 4, and 6 cm were utilized using dosages of 0.5, 1, and 1.5% by mass of cement. The natural aggregate which is a bya -a product of the Precambrian deposits of the Bida trough was utilized as coarse aggregate. Iron moulds measuring 150 x 150 x 150mm were used for concrete production and were demoulded after 24 hours and cured. The optimum 28-day compressive strength of 27.19 N/mm2 was recorded with a 4 cm fiber length and 0.5% fiber content. This represented a 36.36% gain in the 28-day compressive strength of the concrete when compared to the control.Item Hygrothermal Effects of Partial Replacement of Coarse Aggregates with Palm Kernel Shell in Concrete Production(Nigerian Journal of Engineering and Applied Sciences (NJEAS), 2017) Abdullahi, A; Abubakar, Mahmud; Aminulai, H. O.; Yusuf, A.; Alhaji, B.Hygrothermal effects of partial replacement of coarse aggregates with Palm Kernel Shell (PKS) in concrete production were assessed. Preliminary tests were conducted on PKS to determine its suitability for use as aggregate in concrete production. Workability and Density of the fresh concrete were also determined. Cylinders of 100mm diameter by 50mm height were used to cast the concrete; these were cured for 28 days and tested for water absorption and sorptivity at different replacement levels of coarse aggregates with PKS. The sorptivity of concrete was found to increase with increase in PKS content, however, between 5-25% PKS content, lower sorptivity values than control were recorded. Water absorption of concrete also increased with increase in PKS content, PKS contents from 5-20% gave water absorptions below the control and at 25% replacement, a slightly higher value as compared to the control was recorded. From the results obtained, concrete with 5% PKS content was found to possess the best water absorption as well as sorptivity values. Such concrete adequately fits for use in areas where concrete water absorption and sorptivity are required to be kept at a very minimal level; such as in the construction of drainages and dams.Item Investigation into the Mechanical properties of concrete using Pebbles from Bida Environ as coarse aggregate in concrete production(Polish Journal of Science, 2024-01-02) Abbas, B. A.; Abdullahi, M.; Sadiku S.; Aguwa J.I.; Abubakar J.; Kolo, D. N.Strength performance remains the most important property of structural concrete, from engineering point of view. This paper investigates the mechanical properties of concrete made from Bida natural stones, extensive experimental work was conducted using 1,600 specimens for compressive strength, flexural strength, splitting tensile strength and elastic modulus (four hundred specimens for each property). Central composite design was used for the factor setting with the following range of values; W/C= 0.4, 0.5, 0.6, CA/TA= 0.55, 0.615, 0.68, TA/C= 3.0, 4.5 and 6.0. The specimens were produced and cured for 7, 14, 21 and 28days. The highest strength was achieved using low W/C, low TA/C and high level of CA/TA corresponding to 0.4, 3.0 and 0.68 respectivelyItem Investigation of headway distribution of traffic dominated by motorcycles(8th Advanced Engineering Days (AED) – 8 December 2023 – Mersin, Türkiye, 2023) Abdulrahman, H. S.; Kolo, S. S.; Abubakar, Mahmud; Shehu, M.The use of lower class vehicles such as two or three wheelers have become the preferred urban transport in some developing countries. However, most of the traffic theories adopted are from developed countries where cars are prevalent. The headway probability distribution models can be used to describe vehicle-to-vehicle interactions. Most of these distributions are parametric and makes an underlining assumption about the data. A case study was conducted to investigate the performance of the different probability distributions that best describes the vehicle to vehicle interaction of motorcycle dominated road in Bida, Niger state Nigeria. The different parametric distributions and non-parametric distribution (Kernel) of the data were tested for the goodness-of-fit. The test results indicate that the kernel distribution fits best with improved P-values which in turn gives a better description for the headways than other distribution models considered. This study can serve as a foundation for developing generalized headway models in developing countriesItem Modelling the Slump, Compressive Strength and Density of Concrete Containing Coconut Shell as Partial Replacement for Crushed Granite(USEP: Journal of Research Information in Civil Engineering, 2017) Abdullahi, M.; Aminulai, H. O.; Alhaji, B.; Abubakar, MahmudIn this research, crushed coconut shell was used to partially replace crushed granite as coarse aggregate in the production of concrete. Tests were conducted on the physical properties of crushed coconut shell and crushed granite. Thirty one random mixes were generated using Mini Tab 14 statistical software package. A total of 108 cubes were cast and cured for 28 days and then crushed to determine their compressive strength. The results were used to develop empirical models for the slump, compressive strength and density of the concrete. The concrete developed in this work has slump ranging from 0 – 135 mm, compressive strength ranging from 8.94 N/mm2 – 27.11 N/mm2 and density ranging from 1757.04 kg/m3 to 2198.52 kg/m3 respectively. This implies that concrete made using coconut shell as partial replacement for crushed granite can be used for structural application such as in the construction of reinforced concrete slabs, beams, columns and foundations. Polynomial model was developed with the capability of explaining the under-laying relationship of 93.8%, 83.6% and 72.3% for slump, compressive strength and density respectively.