GATE 2015 Syllabus for Civil Engineering (CE)

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GATE 2015 Syllabus for Civil Engineering (CE) 


Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus:  Functions  of  single  variable,  Limit,  continuity  and  differentiability,  Mean  value  theorems,Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient,  Divergence  and  Curl,  Vector  identities,  Directional  derivatives,  Line,  Surface  and  Volume integrals, Stokes, Gauss and Green’s theorems.

Differential  equations:  First  order  equations  (linear  and  nonlinear),  Higher  order  linear  differential equations  with  constant  coefficients,  Cauchy’s  and  Euler’s  equations,  Initial  and  boundary  value problems,  Laplace  transforms,  Solutions  of  one  dimensional  heat  and  wave  equations  and  Laplace equation.

Complex variables: Analytic functions, Cauchy’s integral theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions.

Numerical  Methods:  Numerical  solutions  of  linear  and  non-linear  algebraic  equations  Integration  by trapezoidal and Simpson’s rule, single and multi-step methods for differential equations.


Mechanics: Bending moment and shear force in statically determinate beams. Simple stress and strain relationship:  Stress  and  strain  in  two  dimensions,  principal  stresses,  stress  transformation,  Mohr’s circle. Simple bending theory, flexural and shear stresses, unsymmetrical bending, shear centre. Thin walled pressure vessels, uniform torsion, buckling of column, combined and direct bending stresses.

Structural   Analysis: Analysis  of  statically  determinate  trusses,  arches,  beams,  cables  and  frames, displacements in statically determinate structures and analysis of statically indeterminate structures by force/ energy methods, analysis by displacement methods (slope deflection and moment distribution methods),  influence  lines  for  determinate  and  indeterminate  structures.  Basic  concepts  of  matrix methods of structural analysis.

Concrete  Structures: Concrete  Technology-  properties  of  concrete,  basics  of  mix  design.  Concrete design-  basic  working  stress  and  limit  state  design  concepts,  analysis  of  ultimate  load  capacity  and design of members subjected to flexure, shear, compression and torsion by limit state methods. Basic elements of prestressed concrete, analysis of beam sections at transfer and service loads.

Steel Structures: Analysis and design of tension and compression members, beams and beam- columns, column  bases.  Connections-  simple  and  eccentric,  beam–column  connections,  plate  girders  and  trusses. Plastic analysis of beams and frames.


Soil   Mechanics: Origin  of  soils,  soil  classification,  three-phase  system,  fundamental  definitions, relationship  and  interrelationships,  permeability  &seepage,  effective  stress  principle,  consolidation, compaction, shear strength.

Foundation  Engineering: Sub-surface  investigations-  scope,  drilling  bore  holes,  sampling,  penetration tests, plate load test. Earth pressure theories, effect of water table, layered soils. Stability of slopes-infinite slopes, finite slopes. Foundation types-foundation design requirements. Shallow foundations-bearing capacity, effect of shape, water table and other factors, stress distribution, settlement analysis in  sands  &  clays.  Deep  foundations–pile  types,  dynamic  &  static  formulae,  load  capacity  of  piles  in sands & clays, negative skin friction.


Fluid  Mechanics  and  Hydraulics: Properties  of  fluids,  principle  of  conservation  of  mass,  momentum, energy  and  corresponding  equations,  potential  flow,  applications  of  momentum  and  Bernoulli’s equation, laminar and turbulent flow, flow in pipes, pipe networks. Concept of boundary layer and its growth.  Uniform  flow,  critical  flow  and  gradually  varied  flow  in  channels,  specific  energy  concept, hydraulic  jump.  Forces  on  immersed  bodies,  flow  measurements  in  channels,  tanks  and  pipes. Dimensional analysis and hydraulic modeling. Kinematics of flow, velocity triangles and specific speed of pumps and turbines.

Hydrology: Hydrologic  cycle,  rainfall,  evaporation,  infiltration,  stage  discharge  relationships,  unit hydrographs, flood estimation, reservoir capacity, reservoir and channel routing. Well hydraulics.

Irrigation: Duty, delta, estimation of evapo-transpiration. Crop water requirements. Design of: lined and unlined  canals,  waterways,  head  works,  gravity  dams  and  spillways.  Design  of  weirs  on  permeable foundation. Types of irrigation system, irrigation methods. Water logging and drainage, sodic soils.


Water requirements: Quality standards, basic unit processes and operations for water treatment. Drinking water  standards,  water  requirements,  basic  unit  operations  and  unit  processes  for  surface  water treatment,  distribution  of  water.  Sewage  and  sewerage  treatment,  quantity  and  characteristics  of wastewater.  Primary,  secondary  and  tertiary  treatment  of  wastewater,  sludge  disposal,  effluent discharge   standards.   Domestic   wastewater   treatment,   quantity   of   characteristics   of   domestic wastewater,  primary  and  secondary  treatment  Unit  operations  and  unit  processes  of  domestic wastewater, sludge disposal.

Air  Pollution: Types  of  pollutants,  their  sources  and  impacts,  air  pollution  meteorology,  air  pollution control, air quality standards and limits.Municipal   Solid   Wastes: Characteristics,  generation,  collection  and  transportation  of  solid  wastes, engineered  systems  for  solid  waste  management  (reuse/  recycle,  energy  recovery,  treatment  and disposal). Noise Pollution: Impacts of noise, permissible limits of noise pollution, measurement of noise and control of noise pollution.


Highway Planning: Geometric design of highways, testing and specifications of paving materials, design of flexible and rigid pavements.

Traffic  Engineering: Traffic  characteristics,  theory  of  traffic  flow,  intersection  design,  traffic  signs  and signal design, highway capacity.


Importance  of  surveying,  principles  and  classifications,  mapping  concepts,  coordinate  system,  map projections,  measurements  of  distance  and  directions,  leveling,  theodolite  traversing,  plane  table surveying, errors and adjustments, curves. 
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