Monday, 11 July 2016

INTRODUCTION TO AGRICULTURAL ENGINEERING, SOI 203



INTRODUCTION TO AGRICULTURAL ENGINEERING, SOI 203
By
Dr. M. K. Othman
NAERLS, Ahmadu Bello University, Zaria

AGRICULTRAL ENGINEERING
Agricultural engineering is the application of engineering principles to any process associated with production, processing and handling of agriculturally based goods and management of the natural resources. The discipline focuses on the development of labour-saving farm machines, farm buildings, irrigation and drainage systems, and processes for preserving and converting agricultural products to useful food, feed, and fibre products.

WHO ARE AGRICULTURAL ENGINEERS?
Agricultural engineers are the broadly and intensively trained individuals who
•Devise practical, efficient solutions for producing, storing, transporting, processing, and packaging agricultural products
•Solve problems related to systems, Processes and machines that interact with humans, plants, animals, microorganisms, and biological materials
•Develop solutions for responsible, alternative uses of agricultural products, by products and wastes and of the natural resources - soil, water, air, and energy and        
•Do all these with a constant eye toward improved protection of people, animals and environment.
Agricultural engineers are those professionals who are constantly striving to ensure that the growing world population has the necessities for life: safe and abundant food and water to eat and drink; timber and fibre for shelter and clothing; plentiful and renewable energy resources, clean air and a safe, healthy environment in which to live.

One feature that distinguishes agricultural engineers from other engineers is their interest and commitment to solving problems and pursuing opportunities related to human and animal needs for food, feed, and fibre and a sustainable, safe living and working environment. The biological and economic constraints will continue to make this a challenging career opportunity.

OPTIONS IN AGRICULTURAL AND BIOLOGICAL ENGINEERING
Agricultural engineering embraces a variety of specialty areas. As new challenges, technology and information emerge, specialty areas are transformed, new ones are created with many overlapping with one or more other areas. Here are descriptions of some of the exciting specialties that have emerged and / or are emerging in agricultural engineering.

Forest Engineering
Forest engineering entails the application of engineering principles to solving problems in natural resources and environment, forest production systems and related manufacturing industries. Engineering skills and expertise are needed to address problems related to
           Equipment design and manufacturing
           Forest access systems design and construction
           Machine-soil interaction and erosion control
           Operations analysis and improvement
           Wood product design and manufacturing
           Forest operations analyzation and improvement
           Decision modeling
Forest engineers are involved in a full range of activities in natural resource management and forest production systems.

Aqua cultural Engineering
Aqua cultural engineering involves the preservation of our natural fish populations and habitats through improved aqua cultural practices. Agricultural engineers concentrate on increasing production while decreasing costs and environmental impact through:
           System design for fish farms
           Water quality, machinery, feeding, and ventilation
           Pollution reduction and water conservation
           Ecological re-use or disposal of waste
           Aquatic animal harvesting, sorting and processing
Agricultural engineers specializing in water quality, biotechnology, power and machinery, natural resources, food environment and sanitation are suited for careers in this ever-expanding field. The demand for aqua cultural engineering will continue to grow as natural fish supplies are threatened and continue to decline.

Safety, Health and Ergonomics
 Safety, health and ergonomics focuses on making agriculture safer, more efficient, and more economical, Agriculture is one of the few industries in which entire families - who often  share the work and live on the premises - are vested and are at risk for injuries, illness, and death. Agricultural engineers are charged with the responsibility of constantly improving the safe use of agricultural equipment. Their scope includes to:
           Compile and analyze health and injury data
           Standardize equipment for component compatibility
           Encourage safe use of machinery, equipment, and materials through better design and better communication

Power Systems & Machinery Design
Agricultural engineers in this specialty area focus on improving efficiency and conservation in agricultural, food, and biological systems, Agricultural engineers are involved in designing and developing advanced equipment that are mechanically sound and biologically sensitive such as
           Agricultural tractors, combines, implements, and transportation equipment
           Landscape equipment
           Equipment for special crops
           Irrigation equipment
           Farmstead equipment
           Food processing equipment
Their work remains challenging as technology advances, production practices change and equipment manufacturers expand globally,

Food and Bioprocess Engineering
Food and bioprocess engineers use microbiological processes to develop useful products, treat municipal, industrial, and agricultural wastes, and improve food safety and these includes:
           Packaging, storage, transportation of perishable products
           Pasteurization, sterilization, irradiation techniques
           Food processing techniques & technologies
           Biomass fuels
           Pharmaceuticals
           Biodegradable packaging materials
Food and bioprocess engineers work on the boundary where biology meets engineering. Food, fibre, and timber are only the beginning of a long list of products that benefit from efficient use of the natural resources. The list is growing - it includes biomass fuels, biodegradable packaging materials, pharmaceutical and other products and is limited only by the creative vision of food and bioprocess engineers. These engineers understand microbiological processes and use this expertise to develop useful products, to treat municipal, industrial and agricultural wastes, and to improve food safety. Increasing concerns about food safety and environmental protection are creating a growing demand for food and bioprocess engineers.

Information & Electrical Systems
This is perhaps the most versatile specialty area and it is applied to virtually all others from machinery design to soil testing to food quality and safety control. Some of the exciting information and electrical technologies being used today and being developed for the future include:
           Geographic information systems [GIS]
           Global positioning systems [GPS]
           Machine instrumentation and controls
           Data acquisition and bio-informatics: bio-robotics, machine vision, sensors, spectroscopy
           Electromagnetic
Developments in information and electrical technologies provide the agricultural community with opportunities for increased efficiency and improved reliability, safety and productivity. In modern agriculture, all engineering touches on one or more aspects of information and electrical technologies in developing agricultural systems.

Structures & Environment
Structures and environments entail engineering a healthy environment for living things. Agricultural engineers with expertise in structures and environment design safe and economical structures such as
           Animal housing
           Greenhouses
           Storage structures for grain, fruits and other food products
           Waste storage, recovery, re-use, transportation
           Climate, ventilation, disease control systems

Biological Engineering
Biological engineering is one of the most rapidly growing specialties in agricultural engineering and this specialty applies engineering practice to problems and opportunities presented by living things and the environment. Biological engineers are involved in a variety of exciting interests that continue to emerge as the understanding of science and nature grows and these include:
           Pest control
           Hazardous waste treatment
           Environmental protection
           Bio-instrumentation
           Bio-imaging
           Medical implants and devices
           Plant-based pharmaceuticals and packaging materials
This fast developing specialty has resulted in many universities especially in the USA and Europe to re-designate their Agricultural Engineering Departments to Biological and Agricultural Engineering [BAE]. In Nigeria, University of Nigeria Nsukka and many other Universities have already re-designated their Agricultural Engineering Department to Department of Agricultural and Bio-resources Engineering. However, it is important that the re-designation of the agricultural engineering programme should be adequately harmonized to reflect the uniqueness of the agricultural engineering profession and the emerging challenges in of bio-resources. Similarly, there should be minimum standard for the programme in all institutions.

Natural Resources
The devastating droughts, fast desertification processes, ravaging gully and coastal erosion, oil pollution and massive deforestation are constant reminders that our land and water resources are vulnerable to degradation by both natural and man-made force/. This specialty area focuses on improving conservation by understanding the complex mechanics of soil and water and its areas includes:
           Wetlands protection
           Water control structures: dams, reservoirs, floodways
           Drainage
           Erosion control
           Pesticide and nutrient runoff
           Crop water requirements
           Water treatment systems
           Irrigation

Agricultural mechanization
It is the art and scientific application of mechanical aids for increase product and preservation of food and fibre with less drudgery and increased efficiency.
Hindrances of agricultural mechanization:
1.    Lack of capital
2.    Lack level of capability of local industry
3.    Law level Lack of training and extension personnel    
4.    Small filed size
5.    Irregular filed shape
6.    Slow industrial development
7.    Crop varieties not amendable to mechanization.
Advantages of mechanization
1.    Increases land productivity
2.    Increases return to famers
3.    Reduces losses in storing and processing
4.    Improves timelines
5.    Improves appreciation of operation
6.    Reduces drudgery
7.    Improves work environment
Agricultural engineering is the application of any and all branches of engineering to the extent that they may be used for farm operation, rural processing of farm products and such allied activities such as malaria control and wildlife conservation.

Objectives: The basic objectives of agricultural engineering are:
1.    To reduce the hazards of faming. These include too much water, effect of storms, fires, pests and accidents around build.
2.    To reduce production costs, this can be achieved through better farming methods, more efficient and design of structures.
3.    To improve and retain the quality of farm products. Better storage, ventilation, refrigeration, pasteurization, grading and improved methods of handling can achieve this objective.
4.    To utilize farm by products for profitable. By proper processing method, string and handling, these can be made to serve a useful purpose.
5.    To remove drudgery from farm operation this can be achieved through proper handling of manure, carrying water and feed, haying and similar jobs.
6.    To make farm jobs more enjoyable through provision of modern conveniences as running water, electricity, sewage disposal.
7.    To conserve soil and water for efficient utilization such as moisture conservation, regulation of sub-surface water, planning of efficient farmstead and farm houses.                        


Energy: Energy is the capacity to perform work measured using the same unit of work. Energy comes in various forms e.g solar energy, electrical energy, etc. the utilization of the latent chemical energy in coal, oil and gas, released in the form of heat to drive internal contribution engines, has been a major factor in the development of modern civilization.

Mechanical Energy: In mechanics, there kinetic energy and potential energy.
Potential energy is the energy which a body has by reason of its position in a field of force or by its state. Kinetic energy is the energy a body possessed when it is above the potential energy by reason of motion:

Work done = force x distance.

Power: it is defined as the rate of transfer of energy.

Average power         = energy transferred
                                                Time taken
The SI unit of power is called watt (W) and is defined as the rate of transfer of energy of I joule per second. 1 W = joule /s

Example: Calculate the power of a pump which can lift 1000 kg of water to a vertical height of 10m in 20s (assume g = 10m/s2).

Solution
Force of engine pump = 1000 x 10N
Distance =     10m
Work done (energy transferred) = 1000x10x10
Time taken = 20 s
Power = energy transferred/Time taken
                                    = 1000x10x10
                                                20
                                                = 5000 W
                                                = 5 kw

Example: A man of mass 50 kg runs up a 50 steps; each step is 10 cm high in 5s. find his power utilized. (Assume g = 10m/S2) 

Solution:
Force overcome       = 50 kg x 10m/S2 = 500 N
Distance                    = 50 steps x 10 = 500cm = 5m
Energy transferred = work done = force x Distance = 500 N x 5
Power =         work done
                        Time taken                =          500 N x 5m = 500 w
                                                                                    5
Example: A boy throws a stone of 400g vertically upwards with a velocity of 20cm/s. Find: (a) the kinetic energy at greatest height (b) the kinetic energy on reaching the ground. (Assume g = 10m/S2 and neglect air resistance).

Solution:                   V2 = U2 + 2as
                                    U = 20m/S, V = O m/s, a = g = - 10m/S2

Derived SI units having special/names
Force: The Newton (N) is that force which applied to a body having a mass of 1kg given it an acceleration of 1m/s2
Power: The watt (W) is a rate of energy transfer of one joule per second
1 W = 1 J/s.
Frequency: The hertz (Hz) is the frequency of periodic phenomenon of which the periodic time is 1s. 1 Hz = 1 cycle/second.
Units, equivalents and conversion factor
1 acre = 0.40409 hectares
1 calorie = 0.001163 kilowatt – hour
1 calorie per second = 4.18617 kilowatts
1 centimeter = 10 millimeters.
1 gram per cubic centimeter = 1000 kilograms/cubic meter
1 hectare = 10,000 square meters = 0.01 square kilometer
1 horsepower = 0.74565 kilowatt
1 inch = 0.0254 meter
1 kilogram = 1000 milligrams
1 kilometer = 1000 meters
1 kilowatt = 1000 watts = 1.34111 horse power
1 litre = 1000 cubic centimetres
1 mile square = 2.59 square kilometers
1 ton metric = 1000 kilograms

Mechanics
Mechanics: It is the science that treats of forces and their effects.
Mass, force and weight
The mass of a body is the quantity of mater it contains. A force is a push or a pull and may be measured by its effect on a body. A force may change or tend to change the shape or size of a body; if applied to a body at rest the force will more or tend to more it. If applied to a body already moving the force will change the motion.
A particular force is that due to the effect of gravity on a body i.e the weight of a body. The SI unit of mass is the kilogram (kg) other units mass are:-
1 mega gram (mg) or tone (t) = 103 kg
1 gram (g) = 10-3 kg
1 milligram (mg) = 10-6 kg.
The derived SI units F= 1N, M = 1 kg and a = 1m/S2 i.e 1 (N) = 1 (kg) x 1 (on/S2).
Other units of force used are
1 kilo Newton (KN) = 103N
1 mega Newton (MN) = 106N and 1 Giga Newton (GN) = 109N  
The acceleration of a body towards earth in free fall is g =9.81m/s2. Hence weight (w) of a body of mass in SI unit is kg m/s2 (W = mg), this is equal to force which is product of mass and acceleration (mass x acceleration)
Example If the mass m is in mega grams (tones) then W= m x 1000 x 9.8N = m x 9.8KN
Proper specifications of a force requires knowledge of three quantities
1.    Its magnitude
2.    Its point of application
3.    Its line of action

Since a force has magnitude, direction and sense, it is a vector quantity and may be represented by a straight line of a definite length.

Electrical resistivity: Some materials allow electricity to pass through them very easily and are called electrical conductors. These include carbon and most of the metals such as aluminium, cropper, gross and silver. Other materials offer a high resistance to the flow of electricity and are called bad electrical conductors or insulators. These include non-metallic materials such as plastics, rubber, wood, ceramics and glass. The resistance of electricity and the dimensions of the conductor as well as the material conductor is measured in ohms, which depend on the dimensions of the conductor as well as the material from which it is made. The resistance to the flow of electricity can be found from the following equation knowing the area and length of the conductor and its resistivity.

R         =                  
Where R= resistance, in ohms
L= length of conductor, in metres
A= cross sartorial area of conductor in, in square metres
S= resistivity of the conductor material, in ohms metres

Example: what is the resistance of an electrical conductor I mm diameter and 20 maters long whose resistivity is 2.5410-8 ohm metres?

Solution:
Area of conductor =  (22/7)X(1)2= 0.7854mm2
                                                    4      
Since the other valves are expressed in metre area in m2 = 0.7854 x 10-6 m2
                                                                                                      1000 x 1000
Resistance is given by slla which is
2.5 x 10-6 x 20
0.7854 x 10-8 = 0.637 ohms.

Construction materials
The strength, durability and service of a farm implement depend largely upon the kind and quality of material used in building it. The material may be metallic and non-metallic.

Non-metallic materials: They include wood, rubber, leather vegetable fibre and rubber.

Rubber: Rubber is both derived from trees and can be made synthetically. There are different grades of rubber materials varying in hardness, flexibility, bonding properties and chemical resistance.

The uses of rubber on farm equipment include implement tyres, tubes, flat and V-belts.     

Plastics: A plastic material is an organic solid, polymerized to a high molecular weight, that is capable of being moulded, with the aid of heat or pressure or both, plastic product is used for seed hoppers and chemical tanks, plough handles, bearings, tubing, conveyor belting, windows and machine panels.
Leather and vegetable fibre: Leather is largely belting material, vegetable fibre upholstery padding.

Nonferrous metals: They are copper and its alloys (such as brass and bronze), aluminium magnesium, lead, zinc and tin.

Alloy: An alloy is a substance that has metallic properties and is composed of two or more chemical elements of which at least one is a metal. Examples of alloys are bronze, brass, alloy steels and aluminium alloys.

Copper: It is soft enough to be rolled or hammered into sheets or drawn into fine. It is used for ignition and electric wires on engines, in generator and electric motors.

Brass: Ordinary brass is an alloy of copper and zinc. Some commercial brass contains small percentages of lead, tin, and iron. It is used for making radiators, pipe, welding rods, instrument parts and fittings.

Aluminum: It is a white metal with a bluish tinge which is resistant to corrosion. It is used to make light castings and for coating chemical tanks.

Zinc: It is crystalline, metallic element, brittle when cold and malleable at 110 to 210oc. It is used as a coating and sheet iron and die castings as a protection against corrosion.

Ferrous metals: The ferrous metals include cast iron wrought iron and steel. They are produced by the reduction of iron ore into pig iron by various manufacturing processes.

Cast Iron: There are five types of cast iron and they are white, chilled malleable and ductile cast iron.
Wrought iron: It is nearly pure iron and is used in forge work since it is readily welded and easy to work, commercial form. It is obtained by rolling the hot iron into bars or plates from which nails, belts, wire and chains are made.

Steel: It is made from pig iron with manufacturing processes different from that of cast iron. It may be classified by:

(1)  The manufacturing process as.
(2)  The carbon content
(3)  Alloy steel where other metals are added
(4)  Uses such as structural or tool steel and
(5)  Methods of forming, such as rolled, forced and cast


Definitions
1.    Harwood: Conventionally, the timber of broad-leaved trees belonging to the botanical group angiosperms.
2.    Sapwood: The outer layers of wood which in the growing tree, contained living cells and reserve materials (e.g starch). It is generally lighter in colour
3.    Softwood: Conventionally timber of coniferous trees belonging to the botanical group gymnosperms.
4.    Timber: Wood in a form suitable for construction or carpentry, joinery or for re-conversion for many manufacturing purposes.

5.    Wood: The principal strengthening and water-conducting tissue of stems and it is a substance of which trees and shrubs are largely composed. 
6.    Woodworking: It is the forming and shaping of wood to make useful and decorative furniture.
7.    Seasoning: The process of drying timber to a moisture range appropriate to the tins and purposes for which it is to be used.
8.    Air-seasoning: The process of drying timber by expositive to natural atmospheric conditions.
9.    Kiln-seasoning: The process of drying timber in a kiln.

Moisture-content: The amount of moisture timber or other material expressed as a percentage of its wet-dry weight moisture content (%)                    
Weight wet wood-weight of dry wood and 100%
                        Weight of dry wood

Nigeria has abundant timber recourse and wood has always been a major construction material. Its low cost and availability in various forms and sizes, together with such properties as relatively great. Ease of shaping and fastening, low heart conductivity and round deadening qualities, have made if the outstanding building material. Even today, despite the extensive use of other structural materials, the railroads, high way departments, telephone, agricultural, building, mining and aviation companies depend upon wood to till much of their construction materials.

Wood workshop tools
There are some fundamental tools that should be available in wood workshop.
The tools include:
Handsaw: It is used for cutting large pieces of wood.
Planes: Tin plane wood to make it straight, flat, and square and to make it smooth.
Chisels: Firmer chisel is the bench tool used for general purposes. It is robustly made so that it can stand up to the work involved in chopping
Brace: It enables carpenter to bore a large hole and wood with ease.
Hammer: It is useful for general indoor woodwork furniture making. It has the cross metal head and handy for starting or driving nails into the wood the handle is always made of wood.
Mallet: It is used for tight hitting or driving of an object into the wood. It has round head with a Tapered handle that fits the head with a wedge fit to prevent it from flying.
Screw driver: It is needed for driving in or removing screws or nails.
File: It is pushed forward while resting on wood. It takes on lumps and removes saw marks.
Clamp: It is used when wood is rained in its thickness. It can be used in holding two or more pieces of wood together to apply pressure.
Steps in wood working:
1.    Planning and design: careful planning can prevent mistakes and save time and materials. A scale drawing of the object being built should be made before starting any woodworking project. This drawing includes exact measurements of the object.
2.    Cutting: Cutting wood to the right size and shape can be done with a variety of hand and power tools, including saws, chisels, and planes. Power tools can do a job for more quickly, easily and accurately than hand tools.
3.    Drilling: Drilling enables a wood work to connect sections of wood with screws metal plates and hinges. Drilling may some joints. Portable electric of the machines that are always used for drilling operation.
4.    Fastening: Sections of wood are fastened together with metal fasteners such as screws and nails. Tools for fastening include screw drivers and hammers.
5.    Sanding and finishing: Sanding removes tool marks and makes wood surfaces smooth for finishing. Sanding should not begin, until the wood has been cut to its final size.

Safety precautions in woodworking machinery
1.    Driving belts: Machines that are driven by belts from an overhead shafting. Belts not to be touched by hands when moving and they should be guided.
2.    Clothing’s: Loose clothing may be entangled in a moving part and because some of accident. So, overalls without loose ends are recommended for use in woodworking.
3.    Wheel guards: They should be used on high speed power-driven grinders. They keep participles of wood away from flying outward toward the operator
4.    Firm clamping of jobs, when using a power drill, the wood being drilled  should be clamped firmly to availed the wood being thrown off the table and injuring the operator.
5.    Electrical accidents: Electrical parts of wood working machinery should be treated carefully. If the wires are loose they should be corrected keeping, keep work spaces free from obstructions keep work benches and workshop tools clean and in good order.
6.    Keep a first-aid kit in the wood workshop. Use it even for apparent minor cuts and injuries.


Woodwork and farm carpentry                 
Bill of material: A bill of material is an itemized list of the number of pieces needed and the dimensions of each.
Timber dealers have books for writing orders for Timber. An order contains the name and address of the buyer, the date, the name of the project, the number of pieces of lumber, the kind of wood, the name of each pieces, and the cost. A complete bill of materials contains the name and address of the buyer, the date, the name of the project, the number of pieces of lumber, the kind of wood, the name of each piece, the dimensions of each piece, and the cost. A complete bill of materials contains a list of all the necessary materials for building a project unit of measure in selling timber: while the unit of measure in timber is a board fort, timber is generally priced on the basis of 1000 board feet (per. m).

Concrete work
Concrete is a mass of sand and gravel held together by a cement paste. The cement paste is made of Portland cement and water, concrete is economical, strong, durable, sanitary and attractive in appearance. The cement and water forms a binder which holds the sand, gravel or rock, commonly called aggregates together.     

Uses of concrete on farms: Concrete has become an extensively used material in the construction of buildings. Other common uses of concrete on farms are: feeding troughs, watering troughs, foundations and walls, floors, milk houses, septic tanks, manure pits, building blocks, inverts and fence posts.

Reason for wide uses of concrete
1.    It is adaptable and serviceable in a great variety of situations  
2.    It is permanent when properly made
3.    It is sanitary and easily cleaned
4.    It is more nearly fireproof than other building materials
5.    It is rat and other rodent proof
6.    It can be used for almost any purpose when properly reinforced
7.    It any be made attractive and decorative
8.    It is economical in installation and in maintenance

Concrete as Material
Plain concrete is obtained by adequately mixing in certain proportions of aggregates (gravel and sand), Portland cement, and water. Plain or reinforced concrete is used in livestock housing for structures, foundations, floor, and walls. It is a durable material that can resist attack by water, animal manure, chemicals, and fibre. High-quality concrete is recommended for milk-, silage-, or manure-containing structures.
Properties of Concrete
Two main properties of concrete are strength and workability. The strength of concrete depends on various factors, mainly the proportion of sand, quality of the ingredients and the temperature and moisture under which it is placed and cured. The methods for proportioning and placing concrete to achieve a preset required strength can be found in the literature. Concrete can develop a very high compressive strength equivalent to two to five times that of wood. Compressive strength of a concrete increases with the age of the concrete. It is measured by crushing cubes or cylinders of standard sizes. Concrete design is based on the characteristics, strength values at 28 days of age. Its tensile strength remains weak, however, about one tenth of its compressive.
For this reason, steel rods (re-bars) are combined with concrete. In reinforced concrete, the area and position in of steel bars determined according to applicable standard codes.
Workability of concrete relates to its ability to be poured in forms and to properly flow around steel bars. This measured by a slump test. Concrete can be placed in forms. This operation is undertaken either on the construction site or in a pre-fabrication plant.

Aggregates: These are the materials used to give bulk and body to concrete. They are in two categories such as fine aggregate and coarse aggregate.
Fine Aggregate: They are materials which will pass through a one to fourth inch in mesh screen, sand or crushed stones screenings are usually used as the fine aggregate
Coarse Aggregate: They are materials like gravel pebbles or crushed rock, ranging from fourth inch up.
All aggregate should be clean and hard and free from dust, loam, day or vegetables matter foreign materials keep the cement from adhering to the aggregate materials or particles and weaken the concrete.

Proportions and quantities for concrete mixtures
Guessing is poor economy in handing concrete. Without experience with concrete, persons who guess at the quantities of cement, sand and gravel needed for concrete jobs are likely to have surplus of some of the ingredients, which cannot be used economically. A shortage of one of more ingredients results in delays in finishing jobs. To disregard recommended mixtures or careless application may result in excessive costs in addition to an inferior unsatisfactory product. The proper mixture is workable and contains enough fine aggregate to fill the air spaces around the coarse aggregates and enough cement paste around each particle to bind the whole mixture together in a dense, plastic solid mad. It is a common practice to have concrete mixtures in terms which indicate the proportions of the material. For example a 1: 2: 3 mixtures consist of 1 part of cement by volume, 2 parts of sand and 3 parts of pebbles.             
A workable mixture can be placed in forms readily and with spading will result in a dense concrete. It contains enough sand and cement (1) to give smooth surfaces and (2) to bind the pieces of coarse aggregate into the mass that will separate when the mixture is handled.


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