GATE CE study materials
GATE CE study resources

GATE CE key terms

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BOD (Biochemical Oxygen Demand)

The amount of dissolved oxygen consumed by microorganisms while decomposing organic matter in a water sample over a stated period, usually five days at 20 degrees Celsius, expressed in milligrams per litre.

Related: COD, DO (Dissolved Oxygen), Self-purification capacity
COD (Chemical Oxygen Demand)

A measure of the oxygen equivalent of organic and oxidisable inorganic matter in a water sample, determined by chemical oxidation with a strong oxidant such as dichromate, expressed in milligrams per litre.

Related: BOD (Biochemical Oxygen Demand)
DO (Dissolved Oxygen)

The concentration of oxygen gas dissolved in water, expressed in milligrams per litre, which sustains aquatic life and indicates the degree of organic pollution in a water body.

Related: BOD (Biochemical Oxygen Demand), Sag curve
Sag curve

The longitudinal profile of dissolved oxygen deficit downstream of a pollution discharge, showing an initial fall, a minimum where reaeration balances oxygen demand, and gradual recovery toward saturation.

Related: DO (Dissolved Oxygen), Self-purification capacity
Self-purification capacity

The natural ability of a water body to reduce pollutant concentration and restore its quality through dilution, sedimentation, reaeration, and biological breakdown of organic matter.

Related: Sag curve, BOD (Biochemical Oxygen Demand)
Turbidity

The optical property of water that causes light to be scattered rather than transmitted, arising from suspended and colloidal particles, and commonly measured in nephelometric turbidity units.

Related: Coagulation and flocculation, Sedimentation basin
Coagulation and flocculation

A water treatment process in which chemicals such as alum neutralise particle surface charge and destabilise colloids, then gentle mixing promotes collisions that grow small particles into settleable flocs.

Related: Turbidity, Sedimentation basin
Sedimentation basin

A treatment tank designed to slow water flow so that suspended particles settle under gravity, commonly characterised by surface overflow rate, detention time, and weir loading.

Related: Coagulation and flocculation, Turbidity
Chlorine demand

The quantity of chlorine consumed by oxidisable impurities in water before a residual concentration remains, after which additional dosing produces free available chlorine for disinfection.

Related: Breakpoint chlorination
Breakpoint chlorination

The dosing practice in which chlorine is added until combined chlorine compounds are fully oxidised and the residual chlorine curve turns upward, leaving free chlorine to maintain disinfection.

Related: Chlorine demand
Effective stress

The intergranular stress carried by the soil skeleton, equal to total stress minus pore water pressure, which controls compression, shear strength, and volume change in saturated soils.

Related: Consolidation, Liquefaction
Consolidation

The time-dependent reduction in volume of a saturated soil caused by expulsion of pore water under sustained load, described by compression index and coefficient of consolidation.

Related: Effective stress, Preconsolidation pressure
Preconsolidation pressure

The maximum vertical effective stress to which a soil has been subjected in its history, determined from the void ratio versus log pressure curve obtained in an oedometer test.

Related: Consolidation
Liquefaction

Loss of shear strength in saturated loose cohesionless soil when cyclic loading raises pore water pressure until effective stress approaches zero, allowing the soil to behave as a fluid.

Related: Effective stress
Factor of safety against slope failure

The ratio of available shear strength along a potential slip surface to the shear stress required for equilibrium, computed by methods such as the method of slices.

Related: Effective stress
Bearing capacity

The maximum pressure a foundation soil can sustain without excessive settlement or shear failure, commonly estimated using Terzaghi or Meyerhof expressions for shallow footings.

Related: Effective stress
Standard Proctor test

A laboratory compaction test in which soil is compacted in a mould with a standard rammer energy to determine the optimum moisture content and maximum dry unit weight.

Related: Optimum moisture content
Optimum moisture content

The water content at which a given compaction effort produces the maximum dry unit weight of a soil, reflecting the balance between lubrication and trapped air voids.

Related: Standard Proctor test
Plastic limit

The water content at which a fine-grained soil transitions from a plastic state to a semi-solid state, determined by rolling a thread to three millimetres diameter.

Related: Liquid limit, Plasticity index
Liquid limit

The water content at which a fine-grained soil changes from a liquid to a plastic state, determined with the Casagrande apparatus or cone penetrometer.

Related: Plastic limit, Plasticity index
Plasticity index

The numerical difference between the liquid limit and plastic limit of a soil, indicating the range of water content over which the soil behaves plastically.

Related: Liquid limit, Plastic limit
Slump test

A workability test for fresh concrete in which a standard cone is filled, lifted, and the vertical settlement of the concrete is measured, giving a slump value.

Related: Water-cement ratio, Compaction factor
Water-cement ratio

The ratio of the mass of water to the mass of cement in a concrete mix, which primarily governs strength and durability; lower values generally give higher strength.

Related: Slump test, Compaction factor
Compaction factor

The ratio of the mass of concrete actually filling a standard mould after free fall to the mass of fully compacted concrete in the same mould, used as a workability measure for dry mixes.

Related: Slump test
Bleeding

The upward migration of mixing water to the surface of freshly placed concrete as solid particles settle, which can weaken the top layer and reduce bond with subsequent lifts.

Related: Segregation
Segregation

The separation of the constituents of a concrete mix so that coarse aggregate, mortar, and paste are no longer uniformly distributed, often caused by excessive vibration or long drops.

Related: Bleeding
Modular ratio

The ratio of the elastic modulus of steel reinforcement to that of concrete, used to transform a reinforced section into an equivalent homogeneous concrete section for stress analysis.

Related: Working stress method
Working stress method

A design approach in which permissible stresses are obtained by dividing material strengths by factors of safety, and elastic analysis of the transformed section is used for service loads.

Related: Modular ratio, Limit state method
Limit state method

A design philosophy that checks a structure against specified limit states, such as collapse and serviceability, using partial safety factors applied to loads and material strengths.

Related: Working stress method, Ductility
Ductility

The ability of a structural member or material to undergo large inelastic deformation without losing load-carrying capacity, providing warning of failure and energy dissipation.

Related: Limit state method
Neutral axis

The line in a beam cross-section where longitudinal bending stress is zero, passing through the centroid for homogeneous elastic sections and shifting with cracking in reinforced concrete.

Related: Moment of inertia, Modular ratio
Moment of inertia

The second moment of area of a cross-section about a specified axis, representing its resistance to bending and appearing in the flexure formula relating stress to bending moment.

Related: Neutral axis, Section modulus
Section modulus

The ratio of the moment of inertia of a cross-section to the distance from the neutral axis to the extreme fibre, used to compute maximum bending stress directly from bending moment.

Related: Moment of inertia, Neutral axis
Influence line

A diagram showing how a particular response, such as shear or bending moment at a section, varies as a unit load moves across a structure.

Related: ILO (Influence Line Ordinate)
ILO (Influence Line Ordinate)

The value of an influence line at a given point, used with moving load positions to compute maximum response through superposition and ordinate products.

Related: Influence line
Degree of static indeterminacy

The number of redundant reactions or internal forces beyond those needed for static equilibrium, computed from member, joint, and reaction counts minus available equilibrium equations.

Related: Degree of kinematic indeterminacy
Degree of kinematic indeterminacy

The number of independent joint displacements, including rotations and translations, that must be restrained to make a structure kinematically determinate, used in stiffness and moment distribution methods.

Related: Degree of static indeterminacy
Hydraulic jump

A rapid transition of flow from supercritical to subcritical state, producing turbulence, energy dissipation, and a rise in water surface elevation.

Related: Froude number, Specific energy
Froude number

A dimensionless parameter equal to flow velocity divided by the square root of gravitational acceleration times hydraulic depth, indicating subcritical, critical, or supercritical flow.

Related: Hydraulic jump, Specific energy
Specific energy

The total energy head of flowing water per unit weight measured relative to the channel bed, equal to depth plus velocity head, and used to analyse critical flow and transitions.

Related: Froude number, Hydraulic jump
Manning equation

An empirical formula expressing uniform open-channel velocity as the reciprocal of roughness coefficient times hydraulic radius to the two-thirds power times bed slope to the one-half power.

Related: Hydraulic radius, Specific energy
Hydraulic radius

The ratio of the cross-sectional area of flow to the wetted perimeter, used in Manning and Chezy equations for uniform flow in channels and pipes.

Related: Manning equation
Unit hydrograph

The direct runoff hydrograph resulting from one unit of effective rainfall applied uniformly over a catchment during a specified duration, used to derive other storm hydrographs.

Related: Time of concentration, Infiltration
Time of concentration

The time required for runoff from the most remote part of a catchment to reach the outlet, used to determine critical storm duration in rational and unit hydrograph methods.

Related: Unit hydrograph, Infiltration
Infiltration

The downward entry of water into the soil surface, expressed as a rate that typically decreases during a storm and is estimated by Horton or Green-Ampt models for runoff calculation.

Related: Unit hydrograph, Time of concentration
Penetration grade of bitumen

A classification of bituminous binder based on the depth in tenths of a millimetre that a standard needle penetrates a sample under specified conditions, indicating hardness.

Related: Marshall stability
Marshall stability

The maximum load a compacted bituminous mix specimen resists at 60 degrees Celsius in the Marshall apparatus, used with flow value to select optimum binder content.

Related: Penetration grade of bitumen
CBR (California Bearing Ratio)

The ratio of the load required to penetrate a soil or pavement specimen to that required for a standard crushed stone, expressed as a percentage and used in flexible pavement design.

Related: Marshall stability
Camber

The transverse slope provided on a road surface or cross-section to drain rainwater quickly toward the edges, also called cross fall.

Related: Superelevation
Superelevation

The transverse slope of the carriageway at a horizontal curve, provided to counteract centrifugal force and improve vehicle stability and comfort at design speed.

Related: Camber
Modulus of subgrade reaction

The ratio of pressure applied to a soil subgrade to the resulting deflection, used as the foundation stiffness parameter in rigid pavement analysis.

Related: CBR (California Bearing Ratio)