Engineering Mathematics by P. Advanced Engineering Mathematics by V. Jaggi and A. Engineering Mathematics by S. Advanced Engineering Mathematics by M. Resultants of Force Systems, Possible resultants of different types of force systems — Resultant of a concurrent, coplanar force system — Resultant of a non-concurrent coplanar force system — Resultant of a concurrent non- coplanar force system — Resultant of a parallel, non-coplanar force system — Resultant of a system of couples in space — Resultant of non-concurrent, non-coplanar, non-parallel force system — screw of Wrench.
Equilibrium : Free body diagrams — Equations of equilibrium for a concurrent coplanar force system — Equilibrium of Bodies acted on by two or three forces — Equilibrium of bodies acted on by non-concurrent coplanar force system — Equilibrium of bodies acted on by parallel, non-coplanar force system — Equilibrium of non-concurrent, non-coplanar non-parallel force system. Moments of Inertia, Definition — Parallel axis theorm for areas — Second moments of areas by integration — Radius of gyration of areas — Moments of inertia of composite areas — Parallel axis and parallel plane theorems for masses — Moments of inertia of masses by integration — Radius of gyration of mass — Moments of inertia of composite masses.
Friction : Nature of friction — Laws of friction — Coefficient of friction — Angle of friction — Cone of friction — Problems involving frictional forces — Frictional forces on flexible bands and belts — Rolling friction. Method of Virtual Work: Principle of virtual work — Equilibrium of ideal system — Stability of equilibrium. Kinematics: Relative Motion : Introduction to kinematics of relative motion — Relative displacement — Relative velocity — Instantaneous centre — Relative acceleration.
Kinetics : Work and Energy approach — Work done by a force — Work done by a couple — Work done by a force system — Energy: Potential energy — Kinetic energy of a particle — Kinetic energy of a rigid body — Principle of Work and kinetic energy — Conservation of energy — Power and efficiency. Impulse — Momentum approach — Linear impulse — Linear momentum — Principle of linear impulse and linear momentum — Conservation of linear momentum — Elastic impact — Angular impulse — Angular momentum — Principles of angular impulse and angular momentum.
Beer and E. Johnston 5 Applied Mechanics by I. Need for assessment of strength of a material — analysis for strength requirement for design purposes — Review of IS code provisions. Effects of force : tension, compression and shear.
Stress as internally elastic resistance of a material — strain — property of elasticity — Hookes law — stress-strain diagrams. Characteristic strengths, Factors of safety and working stresses for materials and various types of application of load. Elastic strain — energy, stress due to gradually applied load, sudden load, impact load and shock load.
Complementary shear stress, shear strain, shear modulus. Relation between modulus of elasticity, modulus of rigidity and bulk modulus.
Stresses in composite assemblies due to axial load and temperature change. Relation between i intensity of loading ii Shear force and iii Bending moment at a section. Theory of simple bending : flexural normal stress distribution. Flexural shear stress distribution for various shapes of cross section. M and T. Wire wound thin cylinders. Analysis for forces in members of a truss having 9 members or less by tension coefficient method only.
Singer and P. Wet and dry process of manufacturing ordinary Portland cement OPC. Storing of cement in the field and godowns.
Acousting and Insulating Products : Acoustic tiles, pulp, plaster etc. Thermal insulation and its requirements, types of insulating materials etc. Synthetic resins. Glass and its Products : Raw materials for glass, properties of glass, manufactured glass, types of glass, their uses, glass blocks and solid glass bricks i.
Constituents of varnishes, uses of varnishes, different kinds of varnish, polishes, Lacquer etc. Under reamed piles — Minimum depth of Foundation — Bearing capacity of soils. Introduction to polymer concrete and its uses. Sheet roofings. B Painting of interior walls, exterior walls, wooden doors and windows — steel windows — various types of paints chemistry of paints not included including distempers; emulsion paints etc.
Stair cases or Stairway design Architectural design or planning only various types such as, straight flight — dog legged, quarter landing, open spiral, spiral stairs etc. Mckay, E. Building Materials by S. Duggal New Age International Publishers. Building Construction by B. Laxmi Publications.
Construction Technology by R. Sources of errors-Linear measurements, Direct measurement. Instrumentation for chaining — Errors due to incorrect chain-Chaining on un- even and sloping ground-Errors in chaining-Tape corrections — Problems :Base line measurement-Chain Triangulation — Checklines, Tie lines, Offsets.
Basic problems in chaining-obstacles in chaining-Problems- Conventional signs. B of lines — Designation of bearings — W. Prismatic compass — Magnetic dip-Description of Prismatic compass. Methods of plane tabling-Plane table traversing- Three point problem — Mechanical method — Graphical method — Two point problem-Errors in plane tabling.
S Levelling-Problems in levelling-Errors in levelling. Contouring: Definitions-Interval, Characteristics of contours-methods of locating contours-Direct and indirect methods-Interpolation of contours-Contour gradient-Uses of contour maps. Surveying By Dr. Arora, Standard Book House.
Surveying Vol. Tata Mc. Graw Hill Publishing Co. Branches of geology. Weathering and soils: Soil profile, Erosion and soil formation, types of Indian soils. Land forms produced by, running water, and glaciers. Land forms produced by wind, sea waves and currents. Ground water: origin, groundwater table, porosity and permeability. Aquifers and groundwater moment and water bearing properties of rocks.
Rocks- classification, Structure, texture and mineralogical composition. Types of rocks-Ingenious rocks: Granite, synite, dolerite, gabro, diorite, basalt. Sedimentary rocks, dykes and sills: Breccia, conglomerate, Sandstone, Shale, limestone. Metamorphic rocks: Gneiss, khondalite, schist, slate, marble, quartzite, charnokite.
Engineering properties of rocks. Weathering of rocks. Mineralogy: physical properties: form, color, luster, cleavage, fracture, hardness and specific gravity. Study of important rock forming minerals: Silicate sturcutres, Quartz, feldspars, pyroxenes, amphiboles, micas and clays.
Mineral resources of Andhra Pradesh. Structural geology: Elements of structural geology- Strike, dip, plunge. Clinometer compass and Brunton Compass. Classification of folds, faults and joints. Geological methods of Investigations: Geological formations, preparation of geological maps, structural features and groundwater parameters. Natural Hazards: Earthquakes origin and distribution.
Volcanoes, Landslides and mass moment. Aerial mosaics. Elements of photo interpretation. Satellite remote sensing. Satellites, sensors and data products. Principles of GIS. Geophysical methods: principles of geophysical methods, electrical, Seismic, Gravity and magnetic. Principle of Resistivity method and configurations. Applications of Resistivity method in prediction of soil profile, hard rock and ground water table.
Principles of Seismic refraction and reflections methods and their applications to Civil Engineering problems. Unit — 5. Geological applications to Civil Engineering Structures. Role of engineering geologist in planning, design and construction stages in Civil Engineering works. Geological investigations for dams and reservoirs. Geological investigations for bridges and Multi- storied structures. Geological investigations for highways, air fields and railway lines.
Geological investigations for tunnels and coastal structures Seawalls, groins an bulkheads. Environmental geology. Text books: 1. Publications 2. Engineering Geology by N. Chennakesavulu, Mc-Millan, India Ltd.
Engineering and general geology by Parbin Singh — Katson Publishing house 5. Fundamentals of Remote sensing by George Josesph. University Press India Private limited. Engineering Geology by K. Chain Surveying a. Introduction of instruments used for chain survey, Folding and unfolding of chain-Line ranging direct method -Pacing.
Chain traversing —Preparation of plan of a residential building by making use of chain, ranging rods, by oblique off-set method, introduction of check line. Preparation of residential building by perpendicular offset, introduction of tie lines. Finding the distance between inaccessible points by making use of chain, cross staff, tape, ranging rods; Arrows and field problems of obstacles to chaining.
Compass Survey. Introduction to prismatic compass-Temporary adjustments. Finding the distance between inaccessible points by making use of compass, tape and ranging rods. Compass traversing-plotting of a residential building. Plane Table Survey.
Finding the distance between inaccessible points by making use of plane table, its accessories- Ranging rods and tape. Introduction to dumpy level, levelling staff. Reading of level staff, temporary adjustments of dumpy level. Introduction to fly levelling-Booking the readings by height of collimation method. Introduction to fly levelling-Booking the readings by rise and fall method-To find closing error. Check levelling. Preparation of contour plan for an open area by taking level of the site.
Field work examination, for sessional marks. Rules for finding P. Difference equations reducible to linear form, Simultaneous difference equations with constant coefficients, Application to deflection of a loaded string, Application of Z- transform to difference equations. A text book on Engineering Mathematics by N.
Sastry 8. Advanced Engineering Mathematics by H. Dass 9. Engineering Mathematics Vol-2 by Terit Majumdar. UNIT II : Shear force and Bending moment diagrams for a fixed beams, b three span continuous beams using i Theorm of three moments, ii Slope deflection method and iii Moment distribution method.
Secant formula. Maximum Bending moment at a section under a wheel load and absolute maximum Bending moment in the case of several wheel loads. Equivalent uniformly distributed live load for Shear force and Bending moment. Reversal of nature of Shear force, focal length, counter bracing for truss panels, Influence lines for i Beams and ii members of Warren and Pratt trusses.
All candidates with Environmental Science and Engineering subject are advised to download this latest syllabus before starting their GATE exam preparation. GATE Introduction » 2. GATE Notification » 3. GATE Dates » 4. GATE Login » 5. GATE Application » 6. GATE Syllabus » 8. GATE Books » 9. GATE Answer key » Municipal solid waste management: Sources, generation, characteristics, collection and transportation, waste processing and disposal including reuse options, biological methods, energy recovery processes and landfilling.
Hazardous waste management: Characteristics, generation, fate of materials in the environment, treatment and disposal. Management of biomedical waste, plastic waste and E-waste: Sources, generation and characteristics; Waste management practices including storage, collection and transfer.
Global effects of air pollution — Greenhouse gases, global warming, climate change, urban heat islands, acid rain, ozone hole. Ecology and various ecosystems; Biodiversity; Factors influencing increase in population, energy consumption, and environmental degradation. Energy and Environment: Energy sources — overview of resources and reserves; Renewable and non-renewable energy sources; Energy-Environment nexus. Sustainable Development: Definition and concepts of sustainable development; Sustainable development goals; Hurdles to sustainability; Environment and economics.
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