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CE Reviewer | Bending | Stress (Mechanics)
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9 EXAMINATION APPEALS A candidate who has failed the examination may submit a written appeal to review his/her performance together with a payment of $25. Professional Engineers Registration Examination FEE 2013 . There will be no refund if the applicant informs the Board less than a week before the examination or is absent from the examination. Examination results will be mailed to the candidates within twelve weeks after the examination.Page 4 8 FINAL RESULTS AND NOTIFICATION Examination results will be given to candidates on a Pass/Fail basis. The result of the appeal/review will be sent by written mail to the appeal candidate. The appeal candidate would not be allowed to review his examination paper. 11 REFUND OF FEES Where an applicant who has been accepted is unable to sit for the examination subsequently. The appeal is to be made within 2 weeks after the receipt of results and late appeals would not be considered. 10 REVIEW COURSES The Board does not endorse any review courses or materials provided as study aides. at its discretion. refund $100 to the applicant if he informs the Board at least a week before the examination or submit a medical certificate within 2 weeks after the examination. No examination scores or marks will be given to candidates. the Board may.
quality control. Professional Engineers Registration Examination FEE 2013 . Format • FEE Part 1 (Civil) (3 hours & 10 mins) – 40 MCQ questions      • CE CE CE CE CE 101 102 103 104 105 Mechanics of Materials Structural Mechanics Structural Analysis Soil Mechanics Fluid Mechanics FEE Part 2 (Civil) (3 hours & 10 mins) – 5 out of 9 questions       CE CE CE CE CE CE 201 202 203 204 205 206 Reinforced and Prestressed Concrete Structures (2 Qs) Steel and Composite Structures (2 Qs) Geotechnical Engineering (2 Qs) Transportation (1 Q) Hydraulics and Hydrology (1 Q) Environmental Engineering (1 Q) Syllabus • CE 101 Mechanics of Materials  Mechanics of Materials Strength. creep rupture. placing. will comprise more core and elective civil engineering courses covered during the 3rd and 4th year of a 4-year civil engineering undergraduate course. durability. mix design. and curing. time-dependent properties. Part 2 catering for depth. relaxation. Part 1 catering for breadth. READING LISTS AND QUESTIONS FROM PAST YEAR PAPERS I Fundamentals Of Engineering Examination (Civil) The examination will focus on testing the fundamentals of civil engineering. will comprise questions on core civil engineering subjects. cyclic load behaviour. and special concrete.  Concrete Technology Concrete-making materials. properties of fresh and hardened concrete.Page 5 Annex A: FORMAT AND SYLLABUS. creep. destructive and non-destructive tests. mixing. stiffness and deformability. Stress-strain relations. The 6-hour examination will comprise two parts. ductility and brittle fracture. typical of courses covered during the 1st and 2nd year of a 4-year civil engineering undergraduate course.
welding technology and corrosion. including such fundamental concepts as stress. stability of floating bodies. hydrostatic pressure and thrust. settlement calculations. Displacement techniques using slopedeflection and moment distribution methods. compressibility. Deformation of indeterminate structures and influence line method. strain. Mohr-Coulomb failure criterion (drained and undrained). Professional Engineers Registration Examination FEE 2013 . Analysis of indeterminate structures. Matrix formulation of trusses. Bernoulli’s equation. Concepts of equilibrium. compatibility and forcedisplacement relationships. kinematics and plane motion of rigid bodies. shear strength. Bending moment. Basic geology. Plastic theory and analysis. analysis of structural members subjected to tension. CE 103 Structural Analysis  • Steel Basic metallurgy. Bar forces in compound and complex trusses. analysis of simple trusses and beams. Direct stiffness method. and seepage and consolidation. unified soil classification system. Stability concepts and elastic stability analysis of framed structures. torsion. linear momentum equation. beams and frames. and bending. mechanical properties. buoyancy. mechanical properties and applications. rate of consolidation using classical Terzaghi theory. equilibrium of rigid bodies. effective stress principle. compression. CE 104 Soil Mechanics  • Structural Mechanics Statics and kinetics of particles.Page 6  • CE 102 Structural Mechanics  • Structural Analysis Displacements of elastic determinate structures: principle of virtual work and energy theorems. Theory and applications of modern structural analysis. shear and axial forces of beams and frames. CE 105 Fluid Mechanics  Fluid Statics Fluid properties. and elastic behaviour.  Fluid Motion Continuity equations.
Continuous multi-storey frames. Moment capacity and shear resistance. Section analysis and design for bending.Page 7  • • • Similitude Dimensional analysis. Corbels. Professional Engineers Registration Examination FEE 2013 . design considerations pertaining to deep excavations. full and partial connection of composite beams. deep excavations. Behaviour and design of members subject to flexure. Design of short and slender columns. Materials and prestressing systems. CE 202 Steel and Composite Structures  Steel Design Limit state design. CE 201 Reinforced and Prestressed Concrete Structures  RC Design Basic structural members and structural systems. Design of steel connections. Design of slab systems. Design of web stiffeners. Design for shear. Tension and compression members. Serviceability and durability requirements. calculation of active and passive earth pressures. Retaining walls.  Composite (Steel-Concrete) Design Structural modeling and design concepts. Lateral-torsional buckling and design of laterally unrestrained beams. torsion and bond. Design of fully restrained beams. CE 203 Geotechnical Engineering  Slope Stability and Earth Retaining Structures Introduction to slope stability and earth retaining structures. Material properties and structural responses. Design of composite slab.  Prestressed Concrete Design Basic concepts of prestressing. Plastic design of portal frames. Design of foundations. earth pressure and retaining structures. shear and combined axial and bending action. Local buckling and section classifications. Web bearing and buckling. design of hydraulic models. Shear buckling and design of plate girder. Design of composite columns. Axially loaded members with end moments. Prestressed losses and time dependent deformation. slopes and embankments. Loads and load effects. Reinforced concrete detailing. Concentrated loads on slabs.
hydraulic jumps. pretreatment. design of flexible and rigid pavements. and anaerobic digestion. Parking. physical. shallow foundations and deep foundations. highway and intersection capacity. pipe network analysis. surface runoff. capacity and settlement requirements. CE 205 Hydraulics and Hydrology  Hydraulics Friction and minor losses in pipe flow. planning and management. wastewater collection and pumping systems. and biological processes for water and wastewater treatment. infiltration. flood peak estimation. wastewater treatment design. secondary. water distribution systems. water treatment principles and design. subsurface flow. energy and momentum principles. evaporation and transpiration. frequency analysis of rainfall or flood data. geometric design of roads and intersections.  Traffic Engineering Traffic flow studies. open channel flow. chemical. backwater computation. gradually varied flows. selection of appropriate foundation type.Page 8  • • • Foundation Engineering Site investigation and interpretation of soil reports. unit hydrograph principles and applications. streamflow measurement and hydrograph analysis. primary. reservoir and channel flood routing. tertiary treatment. critical flow. CE 204 Transportation  Transportation Engineering Transportation systems. uniform flow. traffic signal control. traffic management. chemical and biological water quality parameters. pipe and pump systems. Professional Engineers Registration Examination FEE 2013 . traffic data analysis. urban storm drainage design. Manning’s equation.  Hydrology Processes in the hydrologic cycle: basic meteorology. CE 206 Environmental Engineering  Environmental Engineering Basic physical. rainfall precipitation.
Lam D. 10th Edition. D.F.H. Pearson Prentice Hall. Oxford. MA and Paulhus. “Materials Science and Engineering: An Introduction”.. CE204 Transportation 1) Introduction to Transportation Engineering. Jr. H. Oxford. EJ Finnemore and JB Franzini. 2) Soil Mechanics. Professional Engineers Registration Examination PPE 2013 . Linsley. (or equivalent) CE102 Structural Mechanics 1) Fundamentals of Structural Analysis. Viessman and Hammer. CE202 Steel and Composite Structures 1) Structural Steelwork Design to Limit State Theory. Van Nostrand Reinhold UK. 7th Edition. Columns and Frames for Buildings. Kong FK and Evans RH. Taylor & Francis Inc. 3rd Edition (2004). McGraw-Hill. 10th Edition. Kohler. Elsevier Butterworth-Heinemann. CE105 Fluid Mechanics 1) Fluid Mechanics with Engineering Applications. West and L. CE103 Structural Analysis 1) Fundamentals of Structural Analysis.. 5th Edition. JLH.Page 9 Recommended Reading List for Civil Engineering FEE Part 1 (Civil) CE101 Mechanics of Materials 1) W. Int Edition McGraw Hill. Johnson RP. Int Edition McGraw Hill. I – Beams. CE203 Geotechnical Engineering 1) Foundation Design and Construction. R F Craig. Banks. FEE Part 2 (Civil) CE201 Reinforced and Pre-stressed Concrete Structures 1) Reinforced and Prestressed Concrete. Vol. CE205 Hydraulics and Hydrology 1) Hydrology For Engineers. 2002. RK.H. M J Tomlinson. Inc. 2) Fluid Mechanics with Engineering Applications. Singapore. Inc. Blackwell Scientific Publications. 1988. 2nd Edition (2002). 7th Edition. 2nd Edition (1994). H. McGrawHill Book Co. 2) Composite Structures of Steel and Concrete. Ang TC and Chiew SP. Prentice-Hall. Taylor & Francis Inc. R F Craig. J. John Wiley 1999. SI edition. 2nd Edition (2002). 3rd Edition (1987). CE104 Soil Mechanics 1) Soil Mechanics. 2002. Geshwinder. CE206 Environmental Engineering 1) Water Supply and Pollution Control. John Wiley & Sons. West and L. 2nd ed. 7th ed.H. Geshwinder. Callister.F. EJ Finnemore and JB Franzini.. 2004. Slabs. John Wiley & Sons. 2002. 7th Edition.
5 marks each.96 2. (a) (b) (c) (d) 1. Three plane trusses are shown in Fig.77 Fig.Q2. (1). The bar is subjected to an axial tensile force of 5 kN. The diameters of parts AB.33 5. determinate (d) indeterminate. indeterminate. 15 mm and 35 mm respectively.Q1 2.44 2. (2) and (3) are respectively: (a) determinate. unstable (c) determinate. Δ2 and Δ3 respectively. calculate the ratio of the largest to the smallest of these three elongations. indeterminate. unstable (b) determinate. Q1.Page 10 Questions From Past Year Papers for Fundamentals Of Engineering Examination Part 1 (Civil) (Actual paper comprises 40 Multiple Choice Questions (MCQ) of 2. BC and CD are 25 mm.Q2 Professional Engineers Registration Examination FEE 2013 .) 1. and the elongations of the three sections of the bars are Δ1. If Young’s modulus of steel is 200 kN/mm2. determinate. The statical determinacy of the trusses. Answer all questions. determinate Fig. indeterminate. A steel bar comprises three sections of three cross sections as shown in Fig.
Page 11 3. 4. The crosssectional areas and Young’s moduli are: Ac = 1 x 104 mm2 and Ec = 20 kN/mm2 As = 200 mm2 and Es = 210 kN/mm2 What is the force carried by the steel reinforcement? (a) 1.Q4 supports a load of 10 kN.96 kN (d) 1. 4. 1 (b) 2.Q3 are respectively: (a) 1. 2 (d) 1.Q4 Professional Engineers Registration Examination FEE 2013 . 4.Q3 4. A reinforced concrete column shown in Fig. (2). 5. 4. The static indeterminacy of the beams. 5. 1 Fig. (1). 2 (c) 1.96 kN (b) 2. 5. 5.74 kN (c) 2. (3) and (4) shown in Fig.74 kN Fig. The load is shared between the steel reinforcement and the concrete.
reduce its strength.Q6 occurs. What is the effective stress of the clay layer at a depth of 3m below the river bed level? (a) 30 kN/m2 (b) 60 kN/m2 (c) 90 kN/m2 (d) 120 kN/m2 Professional Engineers Registration Examination FEE 2013 .Q6 7. 2. Of the above. (a) 1 and 3 are (b) 2 and 3 are (c) 2 and 4 are (d) 1 and 4 are 6. A river is 3m deep and the river bed consists of a thick deposit of clay with a saturated unit weight of 20kN/m3. decrease its durability. increase its strength. retard setting. (a) L/4 from A (b) L/√3 from A (c) L/2 from A (d) 2L/√3 from A Fig. 3. the effect is to 1. correct correct correct correct Find the position at which the maximum upward deflection for this beam with an overhang as shown in Fig.Page 12 5. If seawater is used in place of potable water to cast OPC concrete. 4.
620 N/m2 13.24 m/s None of the above Professional Engineers Registration Examination FEE 2013 Fr = V gL . what is the gauge pressure of air inside the closed container? (a) (b) (c) (d) 19. you discover in the borehole a layer of soft clay 5m deep where you had expected a hard stratum at the estimated depth of pile toe.873 N/m2 16.5 m/s? Given Froude number (a) (b) (c) (d) 10 m/s 158.991 N/m2 Cannot be determined 10. A 1:20 scale river model is designed based on Froude number similarity. During the site investigation for a deep foundation design.Page 13 8. What is the prototype flow velocity which corresponds to a model measured velocity of 0.1 m/s 2. Which of the following action would you take? (a) (b) (c) (d) 9. Bore an extra 5m deeper than the original plan Stop boring and move to the next borehole location Continue boring until stronger soil is found Abandon the site In the figure below.
The sizes of the strut and waler as well as the strut-waler connection details are indicated clearly in the figure. The designed strut force to be transmitted to the concrete wall is 3500 kN as shown in Figure Q1. Answer 5 questions) Q1. if any.Page 14 Questions From Past Year Papers for Fundamentals Of Engineering Examination Part 2 (Civil) (Actual paper comprises 9 questions. (10 marks) (b) Determine whether the unstiffened web of the waler is adequate to transfer the design strut force or not. Propose an effective strengthening scheme if it is inadequate. a steel strutting and waling system together with concrete diaphragm wall are to be used for its construction. (a) Calculate the bearing and buckling resistances of the unstiffened web of the waler in the strut-waler connection. Figure Q1 Professional Engineers Registration Examination FEE 2013 . (10 marks) You may assume that the strut is not at the end or near the end of the waler. To facilitate excavation for a new underground MRT station. Detailed design of the strengthening scheme is not required. State clearly your other design assumptions.
02. Assume a 60 mm cover to the centroid of longitudinal reinforcement. Design the reinforcement and show the arrangement of bars and links on a sketch of the section. The exterior column at B carries an ultimate axial load of 1700 kN and a moment M. What is the maximum clear storey height permitted without reduction of column strength for slenderness effects? (13 marks) Figure Q2 Professional Engineers Registration Examination FEE 2013 . The building is braced in two orthogonal directions. Give your answer to the nearest 25 mm.Page 15 Q2. (a) Determine a square column section at A with a reinforcement ratio of about 0. The beam stiffness is 2 times of the column members. Design the reinforcement and show the arrangement of bars and links on a sketch of the section. The interior column at A carries an ultimate axial load of 3200 kN from the beams which are symmetrically arranged. Use fcu = 35 N/mm2. Figure Q2 shows part of a concrete floor supported by columns. The clear storey height is 4 m and the effective length factor is 0. The ultimate design load on beam AB is 62 kN/m.85. transmitted from the beam spanning between AB. fy = 460 N/mm2. (7 marks) (b) Determine the design moment in column B from the simplified sub-frame in Figure Q2.
and preconsolidation pressure. and recommend the most appropriate pile foundation system. shown in Figure Q3(b). A proposed commercial development comprising a 30-storey tower block and a 6storey podium block will be built on a site adjacent to an elevated MRT station and viaduct supported on pile foundations and low rise shop-houses on bakau piles. Suggest measures to mitigate some of the construction problems you may encounter at the site in view of the proximity to sensitive structures. evaluate the degree of consolidation of the marine clay layer under the existing ground conditions. (12 marks) (b) For the plot of effective overburden pressure. po’. (a) Evaluate the feasibility of bored piles and driven RC piles for the proposed development. Without going into calculations. suggest a penetration depth for your recommended pile foundation system at BH1 and sketch the distribution of axial load along pile shaft. There is no basement planned for this development. Groundwater table was observed about 1m below the existing ground level.Page 16 Q3. and state whether negative skin friction will act along the pile shaft. The subsoil conditions from preliminary site investigations are shown in Figure Q3(a). (8 marks) Professional Engineers Registration Examination FEE 2013 . pc’ .
(Cont’d) Design Information Sheet for Q3 Professional Engineers Registration Examination FEE 2013 .Page 17 Q3.
0 metres on the crest curve. Material Asphalt concrete Granite aggregate Sandy gravel Roadbed soil Drainage coefficient (m’s) impermeable 1. Hence.10 0.7 metres on the sag curve.45 not applicable 0.05 4.150 metres Road design speed: 70 km/h (b) (i) The required minimum stopping sight distance for motorists is found to be 120.12 3. and 122. (10 marks) A 3-layer flexible pavement is to be constructed using materials with properties given in the following table. show that the middle section is too short for the pair of vertical curves to be fully developed.3 0.3 0. −3% +2% +4% 150 m Figure Q4 The following information is provided for design calculation. The middle section is 150 metres long. Show how the value for the minimum stopping sight distance is obtained for either the crest curve or the sag curve.20 1.3 (i) Compute the thickness of each layer in the flexible pavement. that satisfies the respective minimum stopping sight distance.60 Layer SN value above coefficient layer (from (a’s) AASHTO charts) 0. (10 marks) Professional Engineers Registration Examination FEE 2013 .20 2. (ii) List several advantages of a flexible pavement design over that of a rigid pavement.30 Object height for stopping: 0. Driver reaction time: 2.050 metres Tyre-pavement friction coefficient: 0. (ii) Calculate the minimum length of the crest curve.5 seconds Driver eye height: 1. (a) A pair of vertical curves are to connect a series of tangent grades for which the slopes are shown in Figure Q4.Page 18 Q4. and the sag curve.
. (Cont’d) LIST OF FORMULAE Reaction Distance. db: db = v2 2g (f ± G ) Minimum Length (Crest Curve). Professional Engineers Registration Examination FEE 2013 WhenS ≤ L WhenS > L . Lmin:  AS 2 AS 2 =  200 0.6 + S (tan 1o ) 120 + 3.6 + S (tan 1o ) 120 + 3. Lmin:  AS 2 2  h h 200 +  1 2 =  2 S − 200 h1 + h2  A ( Lmin When S ≤ L ) ( ) 2 When S > L Minimum Length (Sag Curve).Page 19 Q4.5S  2S − = 2S −  A A [ Lmin ] [ ] AASHTO Structural Number (SN) Equation: SN = a1D1 +a2D2m2 +a3D3m3 +..5S  =  200 0. dr: dr = vt r Braking Distance.
AC to DC conversion. Magnetic losses. reactive and apparent power. Phasor diagrams. Power factor correction. losses and efficiency. Magnetic equivalent circuits. DC servo motor drive systems. Permanent magnet and stepping motor drive systems.  AC and DC Machines DC Machines: operating principle. losses and efficiency.  Transformers Ideal transformer.Page 20 II Fundamentals Of Engineering Examination (Electrical) The examination will focus on testing the fundamentals of electrical power engineering.  Power Electronics and Drives Introduction to power conversion. Wye and delta connections. AC variable-speed induction motor drive systems. Active.  Magnetism and Magnetic Circuits Magnetic fields. Phasor diagrams. voltage and torque equations. equivalent circuit. torque-speed characteristics. Three-phase transformers. Performance evaluation. Magnetic materials and magnetization curves. Professional Engineers Registration Examination FEE 2013 . Three-phase induction motors: operating principle. torque-speed characteristics.5 out of 7 questions  EE 201 Power System Analysis and Utilization Syllabus • EE 101 Principles of Power Engineering  Three-phase Circuits and Systems Review of single-phase circuits. Balanced three-phase loads. DC to DC conversion.40 MCQ questions  • EE 101 Principles of Power Engineering FEE Part 2 (Electrical) (3 hours & 10 mins) . Format • FEE Part 1 (Electrical) (3 hours & 10 mins) . Three-phase voltage generation. Sinusoidal excitation. DC to AC conversion. Equivalent circuits. classification. Power measurements. Harmonics. Electromagnetic induction. Determination of parameters. Autotransformers. The 6-hour examination will comprise two parts.
 Reactive Power and Voltage Control Production and absorption of reactive power. Unsymmetrical faults. LV cables and busway systems. Methods of voltage control.  Applications of High-voltage Engineering Acceptance and routine tests on apparatus. transmission lines and cables. Circuit protective conductor. Earth leakage and touch voltage. Reactive power and voltage control devices. Power transfer. Lightning protection. Distribution substation layout. Condition monitoring and aging assessment.  Analysis of Unsymmetrical Faults Three-phase faults and fault level calculations. Automatic generation control. Application to transmission and distribution systems. Coordination of overcurrent and earth protection for distribution systems. Electricity market environment. Transmission losses. Fault locating methods. Conductor sizing factors. Pilot-wire differential protection of feeders. Inspection and testing. Ring.  General Protection Principles Basic protection principles Instrument transformers. Area control errors and load frequency control. Fault diagnosis and restoration of supply.Page 21 •  Fundamental of Power System Energy sources. Power system components and representation: synchronous generators. Symmetrical components. Energy offers.  Electric Power Distribution Systems Distribution system configurations. penalty factors and loss coefficients. Per unit system. Case studies. Case studies. Expert system applications. Methods of power flow solution. flow EE 201 Power System Analysis and Utilizations  Active Power and Frequency Control Governor control systems.  Building Services Engineering Estimation of power demand.  Power Flow Modelling System components modelling. radial and inter-connected systems. Professional Engineers Registration Examination FEE 2013 . Economic dispatch. Planning criteria and network design. Sequence impedances and sequence networks. Primary and secondary distribution. Active power control devices. Load representations. Formulation of power equations.
CP5 1998). 1997. Drives and Power Systems. IEE (IEE Power and Energy Series). 2004. 2012. Institution of Electrical Engineers. 2001. (Singapore Standards. 1997. University Press. 1996. 8) Gers Juan M. 3) Weedy Birron Mathew and Cory Brian John. 2006. 7) Haddad A and Warne D F. Singapore Productivity and Standards Board. 4) Pabla A S. 2005. McGraw-Hill. Electrical Machines. Byte Power Publications. John Wiley. Electricity Distribution Network Design. Peter Peregrinus. 10) Ram Badri and Vishwakarma D N. 2nd Edition. 5) Code of Practice for Electrical Installations. 6) Lakervi Erkki and Holmes E J. 1st Edition. Electric Machinery and Transformers. 4th Edition. Oxford. 1998. seventh print. 4) Wildi Theodore. 2000. Advances in High Voltage Engineering. Electric Machinery and Power System Fundamentals. (IEE Power Engineering Series). 1998. 3) Chapman Stephen J. 6th Edition. 2nd Edition. 11) Teo Cheng Yu. Prentice-Hall. 3rd Edition. Electric Power Distribution. 2nd Edition. 2002. 1994. 2nd Edition. Power System Analysis. McGraw-Hill. John Wiley. Power System Protection and Switchgear. 2) Sen Paresh Chandra. FEE Part 2 (Electrical) EE 201 Power System Analysis and Utilizations 1) Grainger John J and Stevenson William D. 2nd Edition. Principles and Design of Low Voltage Systems. Principles of Electric Machines and Power Electronics. 9) Naidu M S and Kamaraju V. Power System Analysis. McGraw-Hill. McGraw-Hill. Pearson/Prentice-Hall.Page 22 Recommended Reading List for Electrical Engineering FEE Part 1 (Electrical) EE 101 Principles of Power Engineering 1) Guru Bhag S and Hiziroglu Huseyin R. McGraw-Hill. 2nd Edition. 2) Bergen Arthur R and Vittal Vijay. 2004. Electric Power Systems. 1995. High Voltage Engineering. Revised 2nd Edition. Professional Engineers Registration Examination FEE 2013 . Protection of Electricity Distribution Networks. 5th Edition.
An impedance of value Z2 = 100 + j30 Ω is connected across the HV side of the transformer.9 210. kW. Determine the source line current Ia. kW.5 kV.5 Ω Rs = 23. Ω.5 201. Compute the transformed power.8 554.7 211. pf = 0. (a) (b) (c) (d) 4. (a) (b) (c) (d) 2.2 137. Load 1 is rated 300 kVA.5 Ω Rs = 13. The results are Pin = 100 W. Answer all questions. and N2 = 300 turns.5 marks each.5 Rm Rm Rm Rm = = = = 2116 5290 2116 1936 Ω.01 Ω. 646.8 lagging and Load 2 is rated 240 kVA.4 kVar kVar kVar kVar An open-circuit test is performed on a single-phase 440-V transformer winding.01 Ω. P P P P = = = = 743. (a) (b) (c) (d) Rs = 14.1 690. Xm Xm Xm Xm = = = = 729. A A A A An ideal single-phase transformer has N1 = 100 turns. Ω.8 kV/115 kV.9 137.5 Ω Rs = 23. The LV winding is connected to a voltage source operating at 3 kV.6 231. Xs = 312. Iin = 1 A and Vin = 440 V. (a) (b) (c) (d) 3. Xs = 574.1 700.05 Ω. Ω. Xs = 312. pf = 0. kW.9 722. Determine the winding resistance (Rs) and leakage reactance (Xs) on the high-voltage side.6 leading.1 107. A three-phase 400-volt source supplies two parallel loads. Xs = 574.2 451.25 Ω. A short circuit test on the high-voltage side at rated current indicates Pin = 435 W and Vin = 2.4 kW.5 Ω Professional Engineers Registration Examination FEE 2013 . Determine the values of the shunt resistance (Rm) and magnetizing reactance (Xm).Page 23 Questions From Past Year Papers for Fundamentals Of Engineering Examination Part 1 (Electrical) (Actual paper comprises 40 Multiple Choice Questions (MCQ) of 2. Q Q Q Q = = = = 222.8 Ω Ω Ω Ω A 500-kVA single-phase transformer is rated 6.) 1.
0. While Generator 2 has a no-load frequency of 51 Hz and a slope of the generator’s characteristic of 1MW/Hz.25 % Two generators are supplying a real load of 2. Generator 1 has a no-load frequency of 51.5 MW. shunt generator has armature and field resistances of 0. 26.5 MW 1.25 MW 2 MW.06 ohms and 100 ohm respectively. phase sequence. frequency.5MW at 0. phase current Phase sequence. The total armature power developed when working as a motor taking 25 kW input equals: (a) (b) (c) (d) 6.4 kW 1 MW.Page 24 5. phase angle Frequency. frequency. 1. 250-V d. A 460-V series motor runs at 500 rpm taking a current of 40 A. phase sequence.75 % 56. the percentage change in torque when the load is reduced with the motor taking 30 A now can be calculated to be: (a) (b) (c) (d) 7.5 MW The conditions for the parallel operation of synchronous generators require the following parameters: (a) (b) (c) (d) Line current.25 kW 23.25 MW.8 kW 25 kW 24.5 Hz and a slope of the generator’s characteristic of 1MW/Hz. line voltage. 50% 75% 43. phase angle.c. 1. line voltage Power rating. 1 MW 1. phase sequence.8 power factor lagging. How much power is supplied by each of the two generators? (a) (b) (c) (d) 8. frequency. The total resistance of the armature and field is 0.8 ohm. Assuming flux is proportional to the field current. A 25-kW. impedance Professional Engineers Registration Examination FEE 2013 .
The load at PSO is 24 MW and 12 Mvar.Page 25 9.85. the plant operator should: (a) (b) (c) (d) reduce the operating voltage at EG1 increase the frequency of the local generator reduce the frequency of the local generator increase the operating voltage at EG1 Professional Engineers Registration Examination FEE 2013 . If the output of the local generator is still kept at 4 MW and the power factor at the Fuji intake has to be above 0. The 22-kV network at Fuji is also step down to 3. The line flow at sending end and receiving end of each circuit is shown in MW and Mvar with positive sign indicating that the MW is injected to the node. There is no load at all other nodes. at SPG is 6 MW and 4 Mvar and at node FPP is 5 MW and 3.3 and EG1 with the local generator at node EG1 generating at 4 MW at a power factor of 0.94 lag synchronizing to PSO.3 Mvar.85.3 kV at nodes G3. the power factor at Fuji intake is below 0. Figure: Q9-Q10 In the system above as shown in Figure: Q9-Q10. The intake supply to an industrial plant Fuji is fed by one 22-kV feeder from node SPG which is connected to an equivalent utility system PSO as shown in Figure: Q9-Q10. and negative sign as the MW is outgoing from the node listed in Figure: Q9-Q10 below.
However.Page 26 10. the plant operator should: (a) (b) (c) (d) adjust the tap changer of the 22/3.3 kV transformer adjust the power factor of the local generator turn on appropriate number of capacitors in the plant take no action Professional Engineers Registration Examination FEE 2013 . it is assumed that the local generator is operated at the maximum output of 8 MW at a power factor of 0. In the same system above as shown in Figure: Q9-Q10.88 lag. the frequency in the industrial plant Fuji is reducing from 50 Hz to 49 Hz. To improve the frequency from 49 Hz to 50 Hz.
Answer 5 questions) Q1.5 B 300/5 200% 0. (13 marks) (b) Find the reactive power supplied by Gen A if the power factor of Gen B is 0. Figure Q2a Type Table Q2a CT ratio PS TMS S 2000/5 100% 0. (7 marks) Q2.9 lagging power factor.1 Professional Engineers Registration Examination FEE 2013 . The network is only protected by overcurrent relay and the 8 tripped breakers activated by overcurrent relays are shown in white rectangles in Figure Q2a. The post fault 22 kV network is shown in Figure Q2a.4 Hz and 51 Hz respectively.2 D 300/5 200% 0. Two generators operating in parallel supply a load of 5 MW at 0. The overcurrent relay settings for each feeder are shown in Table Q2a. (a) Find the system frequency and MW supplied by each generator.4 A 300/5 200% 0. and the load at each node in Table Q2b.Page 27 Questions From Past Year Papers for Fundamentals Of Engineering Examination Part 2 (Electrical) (Actual paper comprises 7 questions.8 lagging. Gen A has a slope of 5 MW/Hz and Gen B 4 MW/Hz and their no-load frequency settings are 50.3 C 300/5 200% 0.
Bus16.2. However. As a result the feeder from Bus2 to Bus7 tripped resulting in a loss of supply to Bus1.1 Bus9. all breakers connected to Bus1 failed and cannot be closed as shown in Figure Q2b. Bus4. Bus17 2. Bus2 3. List the appropriate switching steps so that supply to all nodes can be fully restored. Bus16 and Bus17.6 Bus15. Bus15. Bus6.5 (a) Identify the possible fault location. Bus12. 2. Bus3. (10 marks) (b) The fault is subsequently cleared and supply has been all restored. Bus10.Page 28 Table Q2b Bus ID Load (MW. or to as many nodes as possible. Give reasons to support your fault diagnose inference. Bus7. Bus11. Bus4. Bus5. Bus7 2.4. Determine the two highest-loading circuits in amperes and also nodes that supply cannot be restored if any.4 Bus3. Mvar) Bus1. (10 marks) Figure Q2b Professional Engineers Registration Examination FEE 2013 . Bus13.0. 1. 2.8. Bus13 2. on the next day. Bus9. Bus10. 1.
Indicate on your completed schematic diagram the current distribution (both magnitude and direction of flow) on the power transformer and in the relay circuit. (a) Complete the three-phase wiring connection from current tranformers to the differential relay. (14 marks) Figure Q3: Incomplete Schematic of a Differential Protection (b) A single-phase to earth fault at the middle of the LV winding as indicated in Figure Q3 has resulted in a fault current of 548. The differential relay is set to operate at 5% of the CT rating.2 kV Dy1 power transformer. Calculate whether this earth fault could cause the relay to operate.2 kV side.7 A. The transformer is rated at 25 MVA. State any assumptions made. Current transformers (CT) ratio is 150/5 A on the 115 kV side and 2250/5 A on the 13. Figure Q3 shows an incomplete schematic diagram of a protection arrangement for a 115/13.Page 29 Q3. (6 marks) Professional Engineers Registration Examination FEE 2013 .
Block diagram manipulation. Stability and Routh-Hurwitz method. Characteristic equation. Guidelines for sketching a Root Locus. Mathematical modelling of electromechanical systems.  Principles of Feedback Control Open loop versus closed loop control.  Dynamic Response Analysis Transient response analysis and performance indices. dominant pole concept of high order systems. Poles and zeros concept. The 6-hour examination will comprise two parts: Format • FEE Part 1 (Mechanical) (3 hours & 10 mins) – 40 MCQ questions       • ME ME ME ME ME ME 101 102 103 104 105 106 Control and Instrumentations Dynamics and Vibrations Fluid Mechanics Mechanics and Materials Manufacturing Technology Thermodynamics and Heat Transfer FEE Part 2 (Mechanical) (3 hours & 10 mins) – 5 out of 7 questions       ME ME ME ME ME ME 201 202 203 204 205 206 Control and Instrumentations Dynamics and Vibrations Fluid Mechanics Mechanics and Materials Manufacturing Technology Thermodynamics and Heat Transfer Syllabus • ME 101/201 Control And Instrumentations  Modelling of Linear Systems Introduction to control systems. Types of feedback systems.  Root Locus Techniques Qualitative analysis of the Root Locus.Page 30 III Fundamentals Of Engineering Examination (Mechanical) The examination will focus on testing the fundamentals of mechanical engineering. Analysis of system type. Error elimination and disturbance rejection. Steady state errors and system types. Transfer functions representation of physical components. General concepts of dynamics compensator Professional Engineers Registration Examination FEE 2013 . PID controller.
 Mechanical Vibrations Vibration Without Damping Professional Engineers Registration Examination FEE 2013 . pressure and flow. Closed loop frequency domain characteristics. •  Frequency Domain Analysis Concept of frequency response. Conservation of angular momentum. Lead and Lag compensators. Rectangular components of velocity and acceleration. Stability margins. Conditioning of analog signals for transmission and processing. Radial and transverse components. temperature. strain. Coriolis acceleration. Principle of work and energy for a rigid body. Lag & Lag-lead controller.Page 31 design. Semiconductor sensors and micromechanical devices. Sampling theorem and fundamentals of data acquisition. Kinematics of Rigid Bodies General plane motion.  Analog Devices and Measurement Introduction to basic measurement devices for analog signals and measurement principles. Nyquist plot and Nyquist stability criterion. Feedback compensation and realisation. Design examples. Newton’s second law. Uniform accelerated rectilinear motion. Motion relative to a frame in translation. PID. PD.  Sensors Measurement for common engineering applications: position. Design of compensator via Bode plots Lead. Equations of motion. Principle of conservation of momentum. vibration and acceleration. Angular momentum of a rigid body in plane motion. stress.  Measurement System Models and classification for measurement systems and their time and frequency domain behaviours. Performance specifications. Principle of conservation of energy. Bode plots.  Digital Devices and Measurement Fundamental differences between analog and digital systems. Principle of impulse and momentum for the plane motion of a rigid body. speed. ME 102/202 Dynamics And Vibrations  Dynamics Kinematics of Particle Uniform rectilinear motion. Design by Root Locus: PI. Equations of plane motion for a rigid body. Tangential and normal components. Angular momentum of a particle.
 Pipe Flow Laminar and turbulent flows in pipes. momentum equation. Buoyant forces and Archimedes’ Principle. Water jet theory: Basic principle. ME 104/204 Mechanics And Materials  Material properties and behaviour Yield and ultimate tensile stress. Post-yield effects. Momentum and forces in fluid flow: Continuity equation. Bernoulli’s equation. Fully turbulent flow in pipes.  Fluid Motion Real and ideal fluids. Fatigue effects.Tresca and Von-Mises. propeller theory.  Stress and Strain Professional Engineers Registration Examination FEE 2013 .  Flow Resistance and Propulsion Boundary layer.temperature expansion coefficient. Stability of submerged and floating bodies. • • ME 103/203 Fluid Mechanics  Basic concepts Understanding fluids as compared to solids and gases.  Fluid Machinery Fundamental theory and performance. forced vibration. fundamental thrust equation. Temperature effects. energy equation for real laminar flow in pipes. Head and flow calculations in pump-piping systems. Pumps and fans. pressure and viscosity. Ship propulsion: Introduction to propulsion system. powering of ship.Page 32 Simple harmonic motion. Moody diagram. proof stress. Cavitation and surge phenomena. bilinear hardening and strain hardening. propeller-hull interaction. Stability of a ship. Damped forced vibration.elastic-plastic. surface roughness. Damped Vibration Damped free vibration. turbines: Concepts and performance characteristics. Equation of motion for turbulent flow. Yield and Strength failure criteria. losses and fittings. creep and stress relaxation. Pressure measurements.S/N curves. Energy method. elastic modulus. energy equation. Properties of fluids: Density. Mixing length hypothesis. form drag.
Combined tension and bending of beams. extrusion. shear stress and strain. Mohr's circle. Types of wear. Deflection and slopes of beams. Shear stress in beams. forging.direct stress and strain. perfect and imperfect columns. Free body. k and G. brazing. shear force and bending moment diagrams. Manufacturing processes: cold and hot working.  Thermal loading Thermal stresses in beams and cylinders due to a through thickness temperature gradient.Page 33 Basic stress and strain for elastic bodies. shear flow in thin walled open and closed sections. rolling. cold forming. cone or hemispherical shells junctions. Statically indeterminate beams. thermal stresses in compound bars of different materials under uniform temperature. powder metallurgy.  Bending of plates and cylindrical shells Symmetric membrane bending theory of circular plates and shells under fixed and freely supported boundaries. thin and thick walled cylinders under pressure. •  Bending of beams Second moments of area of structural sections. plastics technology. Stress and Strain transformations . ME 105/205 Manufacturing Technology  Introduction Cutting tool materials. welding. Professional Engineers Registration Examination FEE 2013 . effect of end fixings on critical buckling loads. Elastic and inelastic bending of beams. sheet and metal blanking and forming. soldering.  Buckling of columns Euler buckling theory. Non-conventional machining: electro-discharge machining.  Torsion of prismatic bars and closed sections Torsion of circular solid section and open thin walled sections. Discontinuity stresses of cylinder to flat. casting. 4 elastic constants E. shear stresses and deformation. ν. Single and multi-point tools.  Internal pressure loading Membrane theory.two and three-dimensional.
continuous casting. drawability.Production of powders. Mechanics of metal cutting – Chip formation. roundness. sintering. punch load. Properties of simple pure substances –understand the general form of property diagrams. Cutting tool materials – Major tool material types. Plastics technology – Properties of plastics. resistance. hydroforming. submerged-arc. punch and die clearance. MIG. open and closed die forging. Sheet metal bending and deep-drawing. Ideal and perfect gases.Arc and gas welding. Electro-discharge machining. brazing.  Metrology Basic measuring instruments and their applications (Linear and angular measurement. soldering .  Manufacturing Processes Introduction to cold and hot working. centrifugal casting. billets and slabs. Powder metallurgy . manufacturing of plastics. defects. investment casting. Forging . laser and electronbeam welding. die-casting. Guerin process. cluster and planetary rolls. Types of energy interaction between system and surroundings.2. Welding. thermoplastics and thermosets. Cold forming processes .Marforming. Empirical temperature scales and thermometry. machines using single point tools. forces acting on the cutting tool and their measurement. patterns. ME 106/206 Thermodynamics And Heat Transfer  Thermodynamics Fundamental concepts Simple concept of thermodynamic system.Sand casting. chip thickness. estimation of factors needed to determine optimum conditions. machines using abrasive wheels. Crane's constants.Page 34 •  Metal Removal Introduction to machine tools and machining operations – Generating motions of machine tools. Rolling . hollow extrusion. Shearing of sheet metal types of shearing operation. manufacture of blooms. comparison with other processes. speed and depth of cut. friction. roll forging. friction in metal cutting. punch force. machines using multipoint tools. Tool life and tool wear – Forms of wear in metal cutting. Economics of metal cutting operations – Choice of feed. the apparent mean shear strength of the work material. pressure welding. 3 and 4-high rolls. hydrostatic extrusion. fabrication processes. Professional Engineers Registration Examination FEE 2013 . Casting . tool life for minimum cost and minimum production time. TIG. Extrusion . Use of steam tables for substance such as water. flatness and surface finish measurement).Direct and indirect extrusion. press.Hammer.
fins. absorptivity. The Clausius inequality. Overall heat transfer coefficients. Convection Heat Transfer by convection.g. e. Unsteady state conduction in homogeneous solids. Professional Engineers Registration Examination FEE 2013 . in fluids and films. Entropy as a property and its relationship to heat transfer.combining conduction and convection.  Heat Transfer Conduction Heat transfer by conduction. compound walls. First law applied to simple thermodynamic plants. work and heat interactions in adiabatic boundaries with the introduction of internal energy. Heat engines operating in temperature reservoirs and the efficiency of reversible engines. the filing of a rigid vessel) processes. Steady flow energy equation and its application to demonstrate the significant of enthalpy changes.. Heat transfer in extended surfaces. Steady-state conduction through slab. cylinders and spheres. geometric factors. power plant. Radiation Heat transfer by radiation. compressors and expanders (without detailed knowledge of plant construction). black and gray bodies. Internal and external irreversibility. Statement of the First law of Thermodynamics: applications relating to non-flow and simple unsteady flow (e. Reversible and irreversible processes. pipes and around round bundles. Isentropic and nonisentropic processes. potential and enthalpy. kinetic. Natural and forced convection on plane surfaces.g.Page 35 First Law of Thermodynamics The concept of fully-resisted or quasi-static processes. Second Law of Thermodynamics Alternative statements of the Second Law. Laws of radiant heat transfer.
1000 W 4905 W 9810 W 19620 W The main reason for incorporating an air pre-heater in the furnace of a steam power plant is (a) (b) (c) (d) 4. What is the power of the pump? (a) (b) (c) (d) 3. What is the maximum pressure on the fin? Density of water is 1000 kg/m3.) 1.5 marks each. Answer all questions.Page 36 Questions From Past Year Papers for Fundamentals Of Engineering Examination Part 1 (Mechanical) (Actual paper comprises 40 Multiple Choice Questions (MCQ) of 2.5 m3/s of cooling water through a pipe of 75mm diameter to a heat engine which is 200 m away from and 2 m higher than the pump. 2. A rectangular wooden fin of cross section 200 mm by 600 mm protrudes from the bottom of a motor boat moving at 5 m/s. (a) (b) (c) (d) 2.00 kPa 12.50 kPa 5. the air to fuel ratio is (a) (b) (c) (d) below the user defined value higher than its natural ability to burn the chemically correct value a burning scenario when the flame is seen to be yellow in colour Professional Engineers Registration Examination FEE 2013 .50 kPa 25. A pump is required to deliver 0.00 kPa to to to to have a complete combustion in the furnace decrease the humidity of air in the exhaust flue gases minimize the energy input to the combustion process maximize the waste heat rejection in the exhaust In a stoichiometric combustion. Density of water is 1000 kg/m3.
Tool life increases with the increase of cutting speed Tool life decreases with the increase of cutting speed Cutting speed has no influence on tool life None of the above Consider the unity-feedback control system with the following open-loop transfer function: G (s) = 10 s ( s − 1)(2 s + 3) It is: (a) stable (b) unstable (c) marginally stable (d) conditionally stable 8.225 16. Which of the following statement is correct? (a) (b) (c) (d) 7.Page 37 5. the chiller suffers from (a) (b) (c) (d) the the the the high vibration of the major moving parts inefficient operation of the expansion device high mass leaks in the vapour compression machine finite-rate of heat transfer and fluid friction losses of the working fluid 6. at high cooling rates.225 4. Referring to the system shown below.05 None of the above Professional Engineers Registration Examination FEE 2013 . The coefficient of performance (COP) of a vapour compression chiller is characterized by its cooling capacity. (a) (b) (c) (d) 16. determine the values of K and k such that the system has a damping ratio ζ of 0. 0. On the other hand. At low cooling rates. 0. the chiller COP is reduced by the effects of heat leaks to the environment.7 and an undamped natural frequency ω of 4 rad/sec. 0.
44 MPa Professional Engineers Registration Examination FEE 2013 .11 MPa 0.8mm 72mm 0. Find the bending stress acting at the section 25mm above the neutral axis.22 MPa 72.144mm 144mm 10. Design a solid shaft to transmit 200 KW at 75 rpm without exceeding a shearing stress of 43 MPa. A beam having a rectangular section of 100mm width by 150mm depth is subjected to a positive bending moment of 16 KNm acting about the horizontal axis. (a) (b) (c) (d) 114.Page 38 9.114 MPa 28. (a) (b) (c) (d) 54.
and (iii) the thermal efficiency of the combined cycle. Additional natural gas is fired for the reheating of steam and the conditions of reheated steam supplied to low-pressure turbine stage are 30 bar and 500o C. The following properties of steel and aluminium can be used in your calculation. A solid aluminium shaft 1. are 1 bar and 300K. The bottoming cycle of the power plant is an ideal reheat Rankine cycle where the steam pressure and temperature supplied to the high pressure steam turbines are 150 bar and 450 C. (i) the mass flow rate of air in the gas turbine cycle if the steam generation rate is 30 kg/s. A combined cycle power plant comprises a natural gas fired. which has a pressure compression ratio of 8. determine. sketch the combined cycle on a T-s diagram. (4 marks) (b) Using the thermodynamic properties of air and steam from the Tables. Calculate the inner diameter of the tubular steel shaft.0m long and 50mm diameter is to be replaced by a tubular steel shaft of the same length and same outer diameter so that either shaft could carry the same torque and have the same angle of twist over the total length (that is having the same torsional stiffness). The air inlet pressure and temperature to the gas turbine. respectively. ideal gas-turbine topping cycle and a bottoming steam-generator for the steam turbine. (20 marks) Professional Engineers Registration Examination FEE 2013 . (16 marks) Q2. Steel.). The temperature of burned gases from the combustor to the turbines is 1400K and the flue gas temperature leaving the steam generator (heat exchanger) is 520K.) Q1. Aluminium Ga= 28 GPa. Answer 5 questions. respectively. (a) For the stated steady state conditions. (ii) the rate of total heat input. State all assumption made in the solution.Page 39 Questions From Past Year Papers for Fundamentals Of Engineering Examination Part 2 (Mechanical) (Actual paper comprises 7 questions. Gs= 84 GPa.
show that K = thermometer. If the bulb has a radius rb. A mercury-in-bulb thermometer is immersed into a bath of temperature Ti.Page 40 Q3.K. show that the energy balance equation for the temperature of mercury in the bulb (Tb) is given by 𝑑𝑇𝑏 � = 𝑈𝐴𝑏 (𝑇𝑖 − 𝑇𝑏 ) 𝜌𝐶𝑉𝑏 � 𝑑𝑡 where ρ is the density of mercury in the bulb. Xo. demonstrate that the thermometer can be expressed as a 1st order transfer function in terms of Xo to Ti as. and the mercury level in the stem of radius rs rises by a finite height Xo. show that: (i) the time constant (τ) of the thermometer is about 4 s. is the time constant of the Write down the general solution of the output variable. demonstrate that the output variable (Xo) to the input variable (Ti) can be expressed as � 𝜌𝐶𝑉𝑏 𝑑𝑋𝑜 𝛽𝑉𝑏 �� � + 𝑋𝑜 = � �𝑇 𝑈𝐴𝑏 𝑑𝑡 𝐴𝑆 𝑖 where As is the cross section area of the hollow stem of thermometer. a constant and τ = 𝜌𝐶𝑉𝑏 𝑈𝐴𝑏 . (12 marks) A mercury-in-bulb master thermometer is designed with a bulb radius of 1.6 mm whilst the ratio of the hollow stem to bulb radii is 0. t/τ . 𝛽𝑉𝑏 𝐴𝑆 (𝜏𝐷 + 1)𝑋𝑜 = 𝐾 𝑇𝑖 . Using the operator D or equivalent. Hence. Assuming that the expanded mercury of the bulb (βVbT) is equal to the change of the mercury volume in the stem (XoAs).K. (ii) the ratio of thermometer constant (K) to the volumetric expansion coefficient of mercury (β) is about 0.07. Ab is the surface area of the bulb. If the overall heat transfer coefficient between the thermometer and the bath fluid is 800 W/m2. and the overall heat transfer coefficient between the bulb and the fluid of the bath is U. (8 marks) Professional Engineers Registration Examination FEE 2013 . The following properties of mercury can be used in your calculation: Density (ρ) and specific heat (C) of mercury are 13500 kg/m3 and 140 J/kg. C is the specific heat. say from 0 to 5. Sketch the expected behavior of the thermometer over a finite non-dimensional time internals.1. respectively.