400 concepts to crack GATE – 2016 Engineering mathematics
1. Types of matrices: 2011, matrices: 2011, 2010, 2009 2. Eigen values of matrix: 2016, matrix: 2016, 2015, 2015, 2014, 2012, 2008, 2007, 2006 3. Eigen vectors of matrix 4. Matrix multiplication: 2014, 2013, 2008 5. Determinant of square matrix and its inverse: 2014, inverse: 2014, 2007 6. Rank of matrix: 2015, matrix: 2015, 2014 7. Consistency of non homogeneous homogeneous equations: equations: 2016, 2016, 2015, 2008, 2007, 2006 8. Consistency of homogeneous equations 9. Knowledge about different functions 10. Limit concept of single variables: 2015, 2014, 2014, 2010 11. Limit concept of two variables: 2016 12. Continuity concept: 2011 13. Differentiability Differentiability concept 14. Angle between two curves: 2016, curves: 2016, 2008 15. Mean value theorem 16. Improper integrals: 2016, 2007 17. Definite integrals: 2015, integrals: 2015, 2013, 2011, 2008 18. Partial derivatives: 2010 19. Taylor series approximation and maclaurin series: 2016, series: 2016, 2012 20. Maxima and minima of single variable : 2016, 2015, 2010 21. Maxima and minima of double variable 22. Area under curves: 2016, curves: 2016, 2016, 2014, 2012, 2006 23. Gradient of scalar function: 2009 24. Directional derivative: 2015, derivative: 2015, 2009, 2006 25. Divergence of vector function 26. Curl of vector function: 2011 function: 2011 27. Greens theorem 28. Stokes theorem 29. Gauss theorem 30. Fourier series: 2016 31. Order and degree of D.E.: 2010, D.E.: 2010, 2008
32. Differential equation by variable separable method, newtons law of cooling: 2009, 2008, 2007, 2007, 2006 33. Differential equations of homogeneous equations 34. Differential equations reducible to homogeneous 35. Leibnitz equation: 2014, 2012 36. Bernoulli equation 37. Integration factor for homogeneous equations () ) + () ) = 0 38. Integration factor for ( 39. Integration factors for other types in + = 0 40. Solution of exact D.E: 2015 D.E: 2015 41. Second order linear D.E.: 2015 42. Complementar Complementary y function: function: 2016, 2016, 2010, 2008 43. Particular integral of 44. Particular integral of sin( + ) cos( cos( + ) 45. Particular integral of : 2016 46. Particular integral of () 47. Particular integral of 48. 2
1 −
()
+ 1
+ 2 =X =X:: 2006
49. Laplace transform of any function: 2009 function: 2009 50. Laplace transform first shifting property 51. Laplace transform of of periodic functions 52. Laplace transform of derivatives d erivatives 53. Multiplication by 54. Division by t 55. Laplace transform of integrals: 2016 integrals: 2016 56. Types of PDE: 2016 PDE: 2016 57. Heat equation : 2016 : 2016 58. Wave equation, 59. Laplace equation: 2013 60. Probability problems: 2016, problems: 2016, 2014, 2012, 2011, 2010, 2008, 2006 61. Normal 61. Normal distribution distribution and probability: probability: 2016, 2014, 2014, 2013, 2009, 2008 62. Normal 62. Normal distribution distribution mean and variance: variance: 2016, 2016, 2015, 2015 63. Mean, median, mode mode and variance , coefficient coefficient of variation: variation:2016, 2016, 2007, 2006
64. Hypothesis testing error analysis: 2016 analysis: 2016 65. Binomial distribution 66. Bisection method 67. Regula falsi method 68. Gauss elimination method: 2009 method: 2009 69. Newton 69. Newton Raphson Raphson method: 2016, method: 2016, 2015, 2011, 2008 70. Secant method: 2015 method: 2015 71. Simpson’s 1/3 rule: 2015, 2013, 2012, 2010 72. Trapezoidal rule: 2015, rule: 2015, 2006 73. Euler’s method: method: 2006 74. Runge Kutta method 75. Curve fitting by least squares: squares: 2013, 2013, 2008 76. Central difference formula: 2012 formula: 2012 Engineering mechanics and strength of material
77. Centroid: 2010 78. Resultant of forces: 2016 79. Moment of inertia, radius of gyration: 2009, 2006 80. Reaction of determinate beams 81. Shear force and bending moment in statically determinate structures: 2016, structures: 2016, 2014, 2012, 2011, 2010, 2010, 2010, 2009, 2006 82. Stress, strain and elongation: 2015, elongation: 2015, 2014, 2008 83. Volumetric strain and poisson ratio: 2016, ratio: 2016, 2012 84. Relation between E, G, K and : 2010, 2007 85. Force in composite members: 2008, members: 2008, 2007 86. Thermal stress: 2007 stress: 2007 87. Thermal stress in composite bars 88. Normal 88. Normal and shear shear stress in any plane: 2015, plane: 2015, 2009, 2007 89. Principal stresses and mohr circles: 2016, circles: 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2006 90. Theory of simple bending: 2016, bending: 2016, 2015, 2014, 2014, 2013, 2008 91. Force in any partial area due to bending: 2006, bending: 2006, 2006 92. Shear stress distribution: 2013, distribution: 2013, 2007, 2006 93. Shear force at any partial area: 2006 area: 2006 94. Shear centre: 2014, 2009 95. Hoop stress, longitudinal stress and shear stress: 2009 stress: 2009
96. Hoop strain, longitudinal strain and volumetric strain 97. Torsion problems, polar moment of inertia: 2014, 2010, 2009, 2008, 2008, 2007, 2007, 2006 98. Power transmitted by shaft 99. Shafts in series 100. Principal stress due to bending and torsion 101. Shear stress due to bending and torsion 102. Helical spring 103. Leaf spring 104. Column buckling: 2014, buckling: 2014, 2013, 2012, 2012, 2010, 2008, 2008, 2007, 2006 105. Rankine’s formula 106. Combined stresses due to axial and bending: 2007 bending: 2007 Structural analysis
107. Method of joints, method method of sections: sections: 2016, 2016, 2016, 2016, 2016, 2015, 2014, 2014, 2013, 2010 108. Relative displacements by graphical methods: methods: 2014 2014 109. Horizontal reactions in two hinged and three hinged arches: arches: 2010 2010 110. Tension in cables, funicular arch: 2016, 2014, 2013, 2012, 2010 111. Slope and Deflection using moment area theorem: 2009, theorem: 2009, 2008, 2006 112. Conjugate beam method 113. Strain energy in members: 2015, 2008, 2007 114. Slope and Deflection by strain energy method, unit load method: 2016, method: 2016, 2013, 2012 115. Double integration method 116. Deflection in trusses: 2008, 2007 117. Propped cantilever, : 2015, : 2015, 2015, 2015, 2015, 2014, 2011, 2006 118. Static indeterminacy: 2014, indeterminacy: 2014, 2014, 2009, 2008 119. Kinematic indeterminacy: 2016 120. Inderminate forces by energy 121. Indermnate forces by compatability 122. Indereminate forces by using symmetry 123. Betti’s theorem, theorem, Maxwell’s reciprocal theorem: theorem: 2014 124. Reduction of structure by symmetry: 2016 symmetry: 2016 125. Slope deflection method 126. Moment distribution method: 2014, method: 2014, 2013, 2007, 2006
127. Sway analysis of moment distribution distribution 128. ILD for reaction,ILD for shear force,ILD for B.M.: 2014, B.M.: 2014, 2013, 2008, 2007, 2006 129. Maximum B.M. and shear force due to rolling loads or udl: 2015 udl: 2015 130. Absolute maximum B.M. 131. flexibility element 132. stiffness element: 2015, 2015, 2015, 2007 building materials
133. Bricks: 2016, 2016 134. Cement: Cement: 2016 2016 135. Aggregate: Aggregate: 2011 2011 136. Steel : 2011 : 2011 137. Workabolity of concrete, slump, comfaction factor, veebee test: test: 2015, 2015, 2013, 2007 138. Resonant frequency test, rebound hammer test, split cylinder test: 2009 test: 2009 139. Air entrained concrete, air content: 2015, content: 2015, 2015 Construction management
140. Floats: 2016 141. Critical Duration: Duration: 2016 2016 142. PERT: PERT: 2016 2016 Reinforced cement concrete structures
143. Modulus of elasticity elasticity of concrete, flexural strength, strength, target mean strength: strength: 2016, 2014, 2014, 2014, 2009, 2008, 2007, 2006 144. Partial safety factors and probability of failure: failure: 2015, 2015, 2009 145. Load combinations combinations:: 2008 146. Creep: Creep: 2013 2013 147. Stress block and strain in concrete beam: 2015 beam: 2015 148. Neutral 148. Neutral axis depth depth in singly reinforced beam: beam: 2012 149. Moment of resistance of singly reinforced beam: 2015, beam: 2015, 2012, 2006 150. Limiting depth of neutral axis: 2012, axis: 2012, 2006 151. Limiting moment of resistance, limiting area of steel: 2007 steel: 2007 152. M.R.of doubly reinforced beam: beam: 2010 2010 153. M.R. of T-beam
154. Shear reinforcement and spacing: 2016, spacing: 2016, 2016, 2014, 2011 155. Maximum and minimum reinforcement: 2016, 2014 156. Equivalent shear 157. Equivalent moment 158. Development length: 2015, 2013, 2011, 2008 159. Bearing strength of concrete: 2014, concrete: 2014, 2011 160. Load carrying capacity of axially loaded columns 161. Load carrying capacity of spiral reinforced columns 162. Minimum eccentricity of column: 2015 163. Stresses in pre-stressed: pre-stressed: 2015, 2015, 2013, 2012, 2010, 2008 2 008 164. Losses in pre-stressed pre-stressed beam: beam: 2012, 2012, 2009, 2007 Steel structures
165. Net area in tension tension member: 2016 166. Gross section yielding strength in tension member 167. Net 167. Net section rupture rupture strength in in tension member: member: 2012 168. Block shear strength in tension member 169. Flexural strength of beam: 2016, beam: 2016, 2014 170. Maximum force in rivet rivet of bracket connection: connection: 2015, 2015, 2014, 2007 171. Shear strength of bolt and Bearing strength of bolt: 2010, 2009, 2007 172. Prying force in bolt, stresses in bolt: 2015, 2008 173. Welding strength: 2016, 2012, 2011 2010 174. Slenderness ratio ratio of different members, members, elastic critical critical stress: 2015, 2009 175. Plastic modulus, shape factor, plastic hinge, load factor: 2014, factor: 2014, 2014, 2009, 2008 176. Plastic capacity capacity of beams and and collapse load: 2016, 2016, 2015, 2015, 2014, 2014, 2013, 2013, 2011, 2008, 2007 177. Plate girder elements: 2011 elements: 2011 Soil mechanics
178. Three phase system and inter relationships: 2016, relationships: 2016, 2015, 2015, 2014, 2013, 2010, 2009, 2007 179. Borrow pit and embankment: embankment: 2015 2015 180. Relative density: 2014 density: 2014 181. Flow index 182. Plastic limit, liquid limit, shrinkage limit: 2008 limit: 2008 183. Shrinkage index, plasticity index
184. Consistency index and liquidity index 185. Toughness index 186. Shrinkage ratio 187. Activity: 2015 188. Classification of soil: 2016, soil: 2016, 2014, 2012, 2010, 2009, 2008, 2007 189. Clay minerals: 2014, minerals: 2014, 2009 190. Capillary pressure in soils: 2006 soils: 2006 191. Constant head permeability 192. Falling head permeability: 2012, 2010 193. Darcy law, Seepage velocity and discharge velocity: 2016, velocity: 2016, 2015, 2013 194. Confined aquifer, Unconfined aquifer: 2010, 2006 195. Stratified soil permeability: 2016, permeability: 2016, 2016, 2015 196. Flownet problems: 2016, problems: 2016, 2014, 2013, 2012 197. Anisotropic soil permeability: 2008 198. Non 198. Non homogeneous homogeneous soil permeability permeability 199. Effective stress with water table: 2011 table: 2011 200. Effective stress with capillary saturation 201. Effective stress with seepage: 2016, 2014, 2012, 2007 202. Quick sand condition: 2016, 2011, 2010, 2006 203. Relation between change in void ratio and change in thickness 204. Compression index, Recompression Recompression index and expansion index 205. Normally 205. Normally consolidated consolidated and over consolidated consolidated soil: soil: 2016, 2016, 2010 206. Coefficient of Volume change: 2014 change: 2014 207. Consolidated Settlement: 2016, Settlement: 2016, 2015, 2015, 2009, 2007, 2006 208. Time factor and coefficient of consolidation: 2015, consolidation: 2015, 2011, 2008 209. Basics of proctor test: test: 2016, 2016, 2013, 2012, 2008 210. Theoretical dry density in compaction: 2006 211. Relation between normal and shear stress 212. Angle of internal friction in shear box test: test: 2008 2008 213. Vane shear test: 2014, 2011 214. Unconfined compressive strength: 2010 strength: 2010 215. Triaxial shear test, CD, CU and UU tests: 2016, 2016, 2014, 2012, 2011, 2007, 2006 216. Stress and volume relationship: 2015 relationship: 2015 217. Pore pressure parameters: 2015
218. Stress path: 2015 Foundation Engineering
219. 220. 221. 222.
Area ratio, SPT, SCPT, pressure meter test: 2015, test: 2015, 2014, 2014, 2009, 2007 Immediate settlement in sand: 2014, sand: 2014, 2013 Settlement of foundation in sand by plate load test: 2014, test: 2014, 2009, 2008 Active earth pressure in sandy and clayey soils: 2016, soils: 2016, 2015, 2015, 2013, 2012, 2010, 2008, 2006 223. Passive earth pressure in sandy and clayey soils: 224. Stability of retaining wall: 2016 225. Depth of tension crack 226. Unsupported vertical cut: 2016 cut: 2016 227. Stability of slopes: 2014, slopes: 2014, 2014, 2013, 2007 228. Rotational stability 229. Stability number 230. Friction circle method: 2015 method: 2015 231. Bearing capacity of strip, square and circular footings: 2016, footings: 2016, 2016, 2015, 2015, 2013, 2012, 2011, 2010, 2009, 2007 232. Boussinesq’s formula: formula: 2010 233. Stress due to line load 234. Stress due to strip load: 2008 load: 2008 235. Stress due to circular load 236. Newmark 236. Newmark chart, rectangular rectangular load: 2007 load: 2007 237. Stress under rigid and flexible foundations in clay and sand: 2014, sand: 2014, 2013, 2011 238. Dynamic formula for pile capacity: 2009 239. Pile capacity in clay and sand: 2015, 2014, 2014, 2011, 2010, 2008 240. Pile group capacity: 2007, 2006 241. Settlement of pile group fluid mechanics
242. Types of fluids: 2016, fluids: 2016, 2014 243. Finding shear stress due to viscosity 244. Capillary rise 245. Pressure inside droplet, soap bubble and liquid jet 246. Continuity equation: 2015, 2014, 2014, 2012, 2006 247. Momentum equation
248. Energy equation: 2015, equation: 2015, 2009, 2007 249. Jet propulsion problems 250. Shear stress at any radius in pipe laminar flow, friction factor: 2009 251. Relation between pressure difference and discharge 252. Velocity distribution in laminar flow: 2014 253. Hagen poisselli equation: 2007, equation: 2007, 2006 254. Friction and minor losses: 2015, 2014, 2013 255. Pipe network problems: 2015, problems: 2015, 2014, 2011 256. Equivalent pipe length 257. Displacement, momentum and energy thickness of boundary layer 258. Drag force 259. Momentum correction factor and energy correction factor 260. Thickness laminar boundary layer 261. Laminar sub layer thickness: 2008 262. Chezy’s formula and Manning’s formula: formula: 2015 263. Most economical rectangular and trapezoidal sections: 2016, sections: 2016, 2012, 2010 264. Critical depth condition: 2014, condition: 2014, 2011, 2010, 2009, 2008 265. Alternate depths and specific energy, Froude number: 2012 number: 2012 266. Hump problems: 2016, 2011 267. Width constriction problems: 2014, problems: 2014, 2010 268. Gradually varied flow concept, water slope: 2015, slope: 2015, 2013, 2010 269. Direct step method: 2009 method: 2009 270. Different profiles: 2016, profiles: 2016, 2007, 2007, 2006 271. Sequent depths in hydraulic jump: 2016, jump: 2016, 2015, 2011, 2008 272. Prejump velocity and post jump velocity: 2015 velocity: 2015 273. Energy loss in hydraulic jump: 2006 jump: 2006 274. Total pressure on plane surfaces: 2015 275. Total pressure on curved surfaces: surfaces: 2016 2016 276. Centre of pressure 277. Buoyancy, Metacentric height: 2011 278. Manometers: Manometers: 2014, 2014, 2010 279. Sharp crested weirs: 2013 weirs: 2013 280. Triangular weir: 2007 weir: 2007 281. Trapezoidal weir and cipolletti weir 282. Broad crested weir
283. Submerged weir 284. Venturimeter and orifice meter: 2014, meter: 2014, 2014, 2010 285. Pitot tube: 2014, tube: 2014, 2010 286. Froude model law and Froude number: 2015, number: 2015, 2013, 2008, 2007 287. Raynolds model law and raynolds number: 2015, 2006 288. Acceleration: Acceleration: 2015, 2015, 2014 289. Angular velocity: 2015 velocity: 2015 290. Vorticity and circulation 291. Velocity potential and stream function: 2007 function: 2007 292. Discharge between two stream lines: 2013 lines: 2013 293. Force on plate due to jet: 2016, jet: 2016, 2014, 2014, 2007 294. Power generation in turbines: 2016 turbines: 2016 295. Specific speed of pump and turbine 296. Net 296. Net Positive Suction Suction Head hydrology
297. Water budget: 2015 budget: 2015 298. Missing rain gauge data estimation: 2015 299. Optimum number of rain gauges 300. Isoheital method: 2013 method: 2013 301. Flow duration curves: 2014 curves: 2014 302. Currentmeter Currentmeter,, two point method, anemometer: 2012, anemometer: 2012, 2010 303. Theissen polygon method 304. ∅ index: index: 2013, 2013, 2007 305. Hortons equation: 2012, equation: 2012, 2010, 2006 306. Evapotranspiration: Evapotranspiration: 2012, 2012, 2010 307. Probability of flood: 2013, flood: 2013, 2012 308. Relation between catchment area and hydrograph area: 2016, area: 2016, 2014, 2014, 2012, 2011, 2011, 2010, 2009, 2007 309. Derivation of storm hydrograph from Unit hydrograph: 2016, 2012, 2011, 2009 310. Superposition principle to derive UH: 2007 UH: 2007 311. S-hydrograph and its uses: 2015, uses: 2015, 2006 312. Dickens and Ryves formula 313. Types of flood routing: 2016, routing: 2016, 2008 314. Muskingum equation: 2014, 2010
315. Specific yield, specific retention and porosity: porosity: 2016, 2016, 2015, 2011, 2009, 2008 irrigation
316. Duty, delta and base period: 2016, period: 2016, 2013, 2009 317. Duty, discharge and catchment area: 2015, area: 2015, 2012, 2008, 2007 318. Field capacity, wilting point and depth of water, frequency of irrigation : 2014, 2010, 2007 319. Anemometer, hygrometer, tensiometer: t ensiometer: 2014 320. irrigation efficiencies 321. Manning’s, chezy,s, Boundary shear stress: 2007 stress: 2007 322. Lace Lacey’s y’s formulae and formulae and kennedy: 2009, kennedy: 2009, 2008, 2007 323. Khosla uplift pressures at different points: 2016 points: 2016 324. Piping failure: 2006 failure: 2006 325. Flour thickness required to overcome uplift 326. Kosla critical exit gradient: 2008 gradient: 2008 327. Uplift force under dam: 2016, dam: 2016, 2008 Environmental engineering
328. Water treatment processes: 2014, 2011 329. Total dissolved solids, toxic metals: metals: 2015, 2015, 2014, 2006 330. Ph of water : 2016, 2012, 2008 331. Alkalinity: Alkalinity: 2013 2013 332. Hardness: Hardness: 2016, 2016, 2014, 2010, 2009, 2007, 2007, 2006 333. Nitrates, 333. Nitrates, kjedhal kjedhal nitrogen: 2015 nitrogen: 2015 334. Settling velocity, surface overflow rate and design: 2016, design: 2016, 2014, 2013, 2012, 2011 335. Efficiency of sedimentation tank, dia of particles: 2015, particles: 2015, 2015, 2009, 2007 336. Alum dose and alkalinity requirement: 2014 337. Velocity gradient and power required in coagulation mixing tank 338. Sand filters: filters: 2015, 2013 339. Lime and soda requirements 340. Ion Exchange process and bypass flow ratio: 2016 ratio: 2016 341. Disinfectin, proportion proportion of Hocl and ocl ions: 2014, 2014, 2011, 2011 342. COD test: 2012 test: 2012 343. BOD determination: 2006 determination: 2006
344. BOD at different d ifferent temperatures and different times: 2016, times: 2016, 2016, 2015, 2014, 2013, 2010 345. Efficiency of trickling filter 346. Efficiency of high rate trickling filter 347. Activated sludge process: 2016, process: 2016, 2014, 2009 348. Rising of sludge: 2016 sludge: 2016 349. Nitrification: 349. Nitrification: 2016 2016 350. Biological nitrogen removal: 2016 removal: 2016 351. 2 production, methane production: 2014, production: 2014, 2009 352. Food to micro organism ratio, Sludge age (MCRT), HRT, HRT, SVI: 2012, SVI: 2012, 2007 353. Sludge recirculation ratio 354. Sludge volume reduction, reduction, Sludge solids solids unit weight, weight, moisture content content and density of sludge: 2011 355. Dilution 356. Critical time in river 357. Critical deficit 358. Deficit at any time 359. Sewer lines, pipes, slope, discharge, corrosion: 2016, 2012 360. Density of MSW: 2015, MSW: 2015, 2015, 2010, 2008, 2007, 2006 361. Primary and secondary air pollutants: pollutants: 2016, 2016, 2015, 2011, 2008 362. Environmental meteorology: 2016, meteorology: 2016, 2013, 2010, 2009, 2007 363. Concentration conversion: 2015, conversion: 2015, 2006 364. Fabric filter design: 2016, design: 2016, 2014, 2011, 2009 365. ESP design: 2016, design: 2016, 2007 366. Measurement of sound pressure level: 2016, 2009 367. Addition of two sounds 368. Averaging of sounds 369. Equivalent noise level 370. Ln concept: 2006 371. Reduction of sound level with distance: 2016 distance: 2016 372. Noise 372. Noise level standards: standards: 2010 Transportation engineering
373. Stopping sight distance: 2016, distance: 2016, 2015, 2014, 2011, 2007, 2006 374. Overtaking sight distance: 2015 distance: 2015 375. Bump integrator: 2012 integrator: 2012
376. Super Elevation: 2015, Elevation: 2015, 2015, 2009 377. Ruling minimum radius of curve: 2014 378. Extra widening at curves: 2016, curves: 2016, 2010, 2007 379. Length of transition curve: 2011, curve: 2011, 2006 380. Shift of curve 381. Set back distance: 2012 distance: 2012 382. Grade compensation: 2007 383. Length of summit curve: 2010, curve: 2010, 2009 384. Length of valley curve: 2013 curve: 2013 385. Properties and tests of bitumen: 2015, bitumen: 2015, 2008, 2007 386. Properties and tests of aggregates: aggregates: 2015, 2015, 2008, 2007, 2006 387. CBR test: 2009, test: 2009, 2006 388. Marshal mix design parameters and curves: curves: 2016, 2016, 2015, 2014, 2013, 2011 389. Cumulative standard axles: 2014, axles: 2014, 2012, 2007, 2006 390. Radius of relative stiffness: 2016 stiffness: 2016 391. IRC -37 code provisions : 2016 : 2016 392. IRC- 58 code provisions: provisions: 2013 2013 393. Equivalent radius of resisting section 394. Frictional stress 395. Thermal stress: 2014, stress: 2014, 2010, 2009 396. Load stresses: 2009, stresses: 2009, 2006 397. Critical Load combinations 398. Design of expansion joint: 2007 joint: 2007 399. Design of contraction joint 400. Design of dowel bar 401. Design of tie bar 402. Poisson distribution: 2014, distribution: 2014, 2014, 2011 403. Exponential distribution: 2013 distribution: 2013 404. Flow and headway, spacing and density: 2016, density: 2016, 2014 405. Traffic studies: 2006 studies: 2006 406. Traffic density, phf: 2014 phf: 2014 407. Moving car method: 2016, method: 2016, 2014 408. Speed density , flow density relationships: 2015, relationships: 2015, 2015, 2014, 2014, 2012, 2011, 2009, 2006 409. Capacity of lane: 2008 lane: 2008
410. Capacity of rotary, intersections, conflicts: 2015, conflicts: 2015, 2013, 2012, 2009, 2007 411. Webster optimal signal time, green splitting: splitting:2016 2016 2014, 2014, 2007, 2006 412. Total delay and average delay at signal: 2011 413. Traffic signs: 2010, signs: 2010, 2008 geomatics
414. Types of surveying: 2014, surveying: 2014, 2008 415. Shape of earth, MSL, plumb line , time: 2015, time: 2015, 2010 416. Scales: Scales: 2007 2007 417. Curvature, refraction and combined correction: 2015, correction: 2015, 2013, 2011, 2009 418. WCB to QB: 2009 QB: 2009 419. Declination, local attraction: 2015, attraction: 2015, 2013, 2009, 2007,2006 420. Latitudes and departures in traverse and Bowditch rule: 2016, rule: 2016, 2015, 2015, 2013, 2007 421. Missing measurement: 2011 422. Height of instrument, Rise and fall method: 2015 method: 2015 423. Contours: Contours: 2014 2014 424. Reciprocal leveling: 2015, leveling: 2015, 2012, 2007 425. Determination height of tower from two angles: 2016, angles: 2016, 2012 426. Staff held inverted: 2016, 2014, 2010, 2006 427. Tacheometer problems: 2014 428. Tacheometer tangential method 429. Errors in measurements 430. Weights and precision: 2015 431. Elements of simple curve: 2016, 2014, 2007 432. Photogrametry no. of photographs required and laps: laps: 2016 2016 433. Relief displacement and tower height: 2016 height: 2016 434. Remote Sensing: Sensing: 2016 435. GIS 436. GPS: GPS: 2016 2016
1. Plastic capacity of beams and collapse load 2. Bearing capacity of strip, square and circular footings 3. Column buckling 4. Method of joints, method method of sections 5. Relation between catchment area and hydrograph area 6. Eigen values of matrix 7. Shear force and bending moment in statically determinate structures 8. Principal stresses and mohr circles 9. Modulus of elasticity of concrete, flexural strength, target mean strength 10. Three phase system and inter relationships 11. Active earth pressure in sandy and clayey soils 12. Speed density , flow density relationships 13. Probability problems 14. Propped cantilever 15. Classification of soil 16. Triaxial shear test, CD, CU and UU tests: 17. Hardness 18. Normal 18. Normal distribution and probability 19. Theory of simple bending 20. Torsion problems, polar moment of inertia 21. Consolidated Settlement 22. Pile capacity in clay and sand 23. BOD at different temperatures and different times 24. Density of MSW 25. Stopping sight distance
26. Consistency of non homogeneous equations 27. Area under curves 28. Differential equation by variable separable method, newtons law of cooling 29. Tension in cables, funicular arch 30. ILD for reaction,ILD for shear force,ILD for B.M. 31. Stresses in pre-stressed 32. Area ratio, SPT, SCPT, pressure meter test 33. Continuity equation 34. Critical depth condition 35. Specific yield, specific retention and porosity 36. Settling velocity, surface overflow rate and design 37. Environmental meteorology 38. Marshal mix design parameters and curves 39. Capacity of rotary, intersections, conflicts 40. Webster optimal signal time, green splitting 41. Declination, local attraction 42. Latitudes and departures in traverse and Bowditch rule 43. Limit concept of single variables 44. Definite integrals 45. Newton 45. Newton Raphson method 46. Simpson’s 1/3 rule 47. Static indeterminacy 48. Moment distribution method 49. stiffness element 50. Shear reinforcement and spacing 51. Development length
52. Welding strength 53. Plastic modulus, shape factor, plastic hinge, load factor 54. Flownet problems 55. Effective stress with seepage 56. Quick sand condition 57. Basics of proctor test 58. Stability of slopes 59. Different profiles 60. Sequent depths in hydraulic jump 61. Froude model law and Froude number 62. Force on plate due to jet 63. Derivation of storm hydrograph from Unit hydrograph 64. Duty, discharge and catchment area 65. Efficiency of sedimentation tank, dia of particles 66. Disinfectin, proportion of Hocl and ocl ions 67. Primary and secondary air pollutants 68. Fabric filter design 69. Properties and tests of aggregates 70. Cumulative standard axles 71. Curvature, refraction and combined correction 72. Staff held inverted 73. Types of matrices 74. Matrix multiplication 75. Maxima and minima of single variable 76. Maxima and minima of single variable 77. Complementary function 78. Normal 78. Normal distribution mean and variance
79. Mean, median, mode and variance , coefficient of variation 80. Stress, strain and elongation 81. Normal 81. Normal and shear stress in any plane 82. Shear stress distribution 83. Slope and Deflection using moment area theorem 84. Strain energy in members 85. Slope and Deflection by strain energy method, unit load method 86. Workabolity of concrete, slump, comfaction factor, veebee test 87. Moment of resistance of singly reinforced beam 88. Losses in pre-stressed beam 89. Maximum force in rivet rivet of bracket connection 90. Shear strength of bolt and Bearing strength of bolt 91. Darcy law, Seepage velocity and discharge velocity 92. Stratified soil permeability 93. Time factor and coefficient of consolidation 94. Settlement of foundation in sand by by plate load test 95. Stress under rigid and flexible foundations in clay and sand 96. Energy equation 97. Friction and minor losses 98. Pipe network problems 99. Most economical rectangular and trapezoidal sections 100. Gradually varied flow concept, water slope
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