GATE Civil Engineering (CE) Syllabus

Civil Engineering (CE) syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Civil Engineering (CE) in GATE, not a summary of it.

1. 1

   Structural Engineering

   4 topics

   • Mechanics of Solids
     • Stress, strain and elastic constants
     • Bending and shear stresses
   • Structural Analysis
     • Determinate and indeterminate structures
     • Force and displacement methods
   • Concrete Structures
     • Limit state design of RCC
     • Prestressed concrete basics
   • Steel Structures
     • Connections and tension/compression members
2. 2

   Geotechnical Engineering

   4 topics

   • Soil Properties and Classification
     • Index properties and phase relationships
   • Seepage and Effective Stress
     • Permeability and flow nets
   • Consolidation and Shear Strength
     • Terzaghi's theory
     • Mohr-Coulomb failure criterion
   • Foundation Engineering
     • Bearing capacity
     • Shallow and deep foundations
3. 3

   Water Resources and Hydraulics

   3 topics

   • Fluid Mechanics
     • Fluid properties and statics
     • Flow through pipes and open channels
   • Hydrology
     • Precipitation and runoff
     • Hydrographs and floods
   • Irrigation Engineering
     • Crop water requirements
     • Canal design
4. 4

   Environmental Engineering

   4 topics

   • Water Supply and Treatment
     • Water quality parameters
     • Coagulation, filtration and disinfection
   • Wastewater Treatment
     • Sewage characteristics
     • Primary and secondary treatment
   • Air and Noise Pollution
     • Air pollutants and control
   • Solid Waste Management
5. 5

   Transportation and Geomatics

   4 topics

   • Highway Engineering
     • Geometric design of highways
     • Pavement design and materials
   • Traffic Engineering
     • Traffic flow and intersection design
   • Surveying
     • Levelling and theodolite surveys
     • Errors and adjustments
   • Geomatics and Remote Sensing Basics
     • GPS and GIS fundamentals

Civil Engineering (CE) flashcards for GATE

25 of 56 cards from the Civil Engineering (CE) deck — real questions with worked answers.

1. In mechanics of solids, define stress and give its formula and SI unit.

   Stress is the internal resisting force per unit area developed within a body under load. $\sigma = \frac{P}{A}$, where $P$ is the applied axial force and $A$ is the cross-sectional area. SI unit: pascal ($\text{Pa} = \text{N/m}^2$).

2. Define strain and state whether it has units.

   Strain is the ratio of change in dimension to original dimension: $\varepsilon = \frac{\Delta L}{L}$. It is a dimensionless quantity (no units).

3. State Hooke's law and write its equation for axial loading.

   Within the elastic limit, stress is directly proportional to strain: $\sigma = E\,\varepsilon$, where $E$ is the modulus of elasticity (Young's modulus).

4. Define Poisson's ratio and give its formula.

   Poisson's ratio is the ratio of lateral strain to longitudinal strain under axial load: $\mu = -\frac{\varepsilon_{lateral}}{\varepsilon_{longitudinal}}$. For most metals it lies between $0.25$ and $0.33$; theoretical range is $-1 \leq \mu \leq 0.5$.

5. Write the relationship between Young's modulus $E$, bulk modulus $K$, and Poisson's ratio $\mu$.

   $$E = 3K(1 - 2\mu)$$

6. Write the relationship between Young's modulus $E$, shear (rigidity) modulus $G$, and Poisson's ratio $\mu$.

   $$E = 2G(1 + \mu)$$

7. Give the combined relation among $E$, $K$, and $G$ (the three elastic constants).

   $$E = \frac{9KG}{3K + G}$$

8. State the flexure (bending) formula relating bending moment, stress, and curvature.

   $$\frac{M}{I} = \frac{\sigma}{y} = \frac{E}{R}$$ where $M$ = bending moment, $I$ = moment of inertia, $\sigma$ = bending stress at distance $y$ from neutral axis, $E$ = modulus, and $R$ = radius of curvature.

9. For a rectangular beam section ($b \times d$) bending about the horizontal centroidal axis, what is the section modulus $Z$?

   $$Z = \frac{I}{y_{max}} = \frac{bd^{2}}{6}$$

10. Write the transverse shear stress distribution formula for a beam section.

    $$\tau = \frac{VQ}{Ib}$$ where $V$ = shear force, $Q$ = first moment of area above the level considered, $I$ = moment of inertia, and $b$ = width at that level.

11. For a rectangular beam section, what is the ratio of maximum shear stress to average (mean) shear stress?

    $\tau_{max} = \frac{3}{2}\tau_{avg}$; the maximum shear stress (at the neutral axis) is $1.5$ times the average shear stress.

12. In structural analysis, write the formula for static indeterminacy of a 2D rigid-jointed plane frame.

    $$D_s = 3m + r - 3j$$ where $m$ = number of members, $r$ = number of external reactions, and $j$ = number of joints.

13. Write the formula for static (external) indeterminacy of a plane (pin-jointed) truss.

    $$D_s = m + r - 2j$$ where $m$ = members, $r$ = reactions, $j$ = joints. If $D_s = 0$ the truss is determinate.

14. Write the formula for kinematic indeterminacy (degree of freedom) of a plane frame, ignoring axial deformation.

    $$D_k = 3j - r - m'$$ in general $D_k = 3j - r$ (counting axial-rigid member constraints $m'$ when deformations are neglected); each rigid joint of a plane frame has 3 DOF (two translations, one rotation).

15. Compare determinate and indeterminate structures in terms of analysis and behaviour.

    Determinate structures can be analysed using equilibrium equations alone; reactions/forces are independent of member properties and unaffected by support settlement or temperature. Indeterminate structures require compatibility/displacement conditions in addition to equilibrium; they have redundant members, are affected by settlement and temperature, but offer redundancy and stress redistribution.

16. Classify the standard methods of structural analysis into force and displacement methods (give examples of each).

    Force (flexibility) methods take redundant forces as unknowns: e.g., Method of Consistent Deformation, Column Analogy, Three-Moment theorem, Castigliano's theorem. Displacement (stiffness) methods take joint displacements as unknowns: e.g., Slope-Deflection method, Moment Distribution method, Kani's method, and the Matrix Stiffness method.

17. In the force method, what type of indeterminacy governs the number of unknowns, and in the displacement method?

    Force (flexibility) method: number of unknowns equals the static (force) indeterminacy $D_s$. Displacement (stiffness) method: number of unknowns equals the kinematic indeterminacy $D_k$.

18. Write the basic slope-deflection equation for member AB.

    $$M_{AB} = M^{F}_{AB} + \frac{2EI}{L}\left(2\theta_A + \theta_B - 3\frac{\Delta}{L}\right)$$ where $M^{F}_{AB}$ is the fixed-end moment, $\theta_A,\theta_B$ are joint rotations, and $\Delta$ is the relative settlement.

19. Define the distribution factor used in the moment distribution method.

    The distribution factor for a member at a joint is its stiffness divided by the total stiffness of all members meeting at that joint: $$DF = \frac{k}{\sum k}, \quad k = \frac{4EI}{L}\ (\text{far end fixed}),\ \frac{3EI}{L}\ (\text{far end hinged}).$$ The sum of distribution factors at a joint equals 1.

20. What is the carry-over factor in the moment distribution method for a prismatic member with the far end fixed?

    The carry-over factor is $\frac{1}{2}$ (half of the balancing moment applied at the near end is carried over to the fixed far end).

21. Give the fixed-end moments for a fixed beam of span $L$ carrying a central point load $W$.

    $$M_{AB} = -\frac{WL}{8}, \qquad M_{BA} = +\frac{WL}{8}$$

22. Give the fixed-end moments for a fixed beam of span $L$ under a uniformly distributed load $w$ per unit length.

    $$M_{AB} = -\frac{wL^{2}}{12}, \qquad M_{BA} = +\frac{wL^{2}}{12}$$

23. In limit state design of RCC (IS 456:2000), what are the two principal limit states checked?

    Limit State of Collapse (strength: flexure, shear, torsion, compression) and Limit State of Serviceability (deflection and cracking). Design ensures safety against collapse and satisfactory performance in service.

24. State the partial safety factors for loads and materials used in IS 456 limit state design.

    Load factor for the design load combination (DL + LL) is $1.5$. Partial safety factor for material strength: concrete $\gamma_{mc} = 1.5$ and steel $\gamma_{ms} = 1.15$. Thus design strengths are $f_{cd}=0.446f_{ck}$ (peak) and $f_{yd}=0.87f_y$.

25. For limit state flexure (IS 456), what is the depth of the rectangular stress block and the limiting depth of neutral axis for Fe415 steel?

    The equivalent concrete stress block depth is $0.42x_u$ from the top for the lever arm, with peak stress $0.446f_{ck}$. Limiting neutral axis depth ratio $\frac{x_{u,max}}{d}$: $0.53$ for Fe250, $0.48$ for Fe415, and $0.46$ for Fe500.

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