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CE3602 Structural Analysis 2

Important Questions

Part B

1. Five point loads 5kN, 10kN, 20kN, 30kN and 15kN crosses from left to right on a simply supported girder of span 25m, with 5kN leading. The spacing between successive loads is 2m. Estimate the maximum bending moment under 20kN load, the maximum bending moment at a distance of 10m from the left support and the maximum shear force in the girder.
2. Draw the influence line diagrams for shear force and bending moment at a section 4m from the left end of a simply supported beam having 16m span. Use the influence line diagram to calculate the maximum shear force and maximum bending moment at this section due to a uniformly distributed load 6m long with 6 kN/m intensity when it rolls from left end to right end. Also calculate the absolute maximum bending moment and its position.
3. A two span continuous beam ABC with spans AB = BC = 4m (Figure 1). Determine and construct the influence line diagram for shear force at a point 3 m from the support A. Compute the ordinates at 1 m intervals. 
   

   

4. Using Muller Breslau’s principle, draw the influence line diagram for the reaction at B for the propped cantilever AB of span 20 m (Figure 2). Compute the ordinates at interval of 2.5 m.  
   

   

5. A three hinged parabolic arch of span 30m and central rise 5m carries a uniformly distributed load of 5kN/m over the left half of the span. Calculate:
   (i) The normal thrust and radial shear at 12m from the left support.
   (ii) The position magnitude of the maximum positive and negative bending moment anywhere on the arch and draw the bending moment diagram.
6. Discuss the effect of change in temperature on three hinged arches.
7. A two hinged parabolic arch of span ‘I’ m and central rise ‘y,’ carries a point load ‘W’ at a distance of ‘a’ m from the left support. The arch has a varying second moment of area, which is proportional to the secant of the slope of its rib axis. Derive an expression for the horizontal thrust on the arch.
8. A three hinged stiffening girder of a suspension bridge of span 120 m is subjected to two point loads of 90 kN magnitude each placed at 30 m and 50 m respectively from the left support. Supports are at same level. Determine the bending moment and shear force at a section 30 m from each end of the girder. Also determine the maximum tension in the cable
   which has a central dip of 12 m.
9. Explain the procedure involved in tension coefficient method for analyzing the space trusses.
10. Analyze the substitute frame having three bays AB, BC and CD for maximum positive bending at mid span of AB using the following data:
    Length of beam AB = 5m
    Length of beam BC = 3m
    Length of the beam CD = 5m
    Height of columns above the beams = 4m; Height of columns below the beams = 4m; Thickness of floor slab 120mm; size of beams = 300mm x 400mm; size of columns 300mm x 400mm Spacing of frames = 3m. Assume the live load as 3kN/m². Unit weight of concrete = 25kN/m³.
11. What are the advantages of approximate method of analysis?
12. Explain the steps involved in the computation of moment and shear in various members of the top most storey of a three bay frame using cantilever method.

BE3252 Basic Electrical Electronics and Instrumentation Engineering Important Questions

Unit 1 Part B

1. Verify Kirchoff’s voltage law and current law with typical circuit example.
2. 
   

3. What is the role of conductor, resistor, inductor and capacitor in electrical circuits? Explain with typical example for each.
4. Explain star and delta connection of three-phase power system with neat sketch.
5. Find the equivalent values of following elements
   (i) Three resistances in series
   (ii) Three inductances in series
   (iii) Three capacitances in series
6. 
   

   

Unit 2 Part B

1. Write short notes on the followings:
   (i) Magnetic field intensity,
   (ii) Mutual inductance,
   (iii) Importance of earthing.
2. What are the accessories needed for a domestic house wiring.
3. Briefly explain any two circuit breakers used in wiring.
4. Write short notes on the following:
   (i) Magneto motive force.
   (ii)Flux density.
   (iii) Circuit breaker.
5. Draw a simple wiring layout for domestic house hold appliances with necessary electrical accessories and distribution power points.
6. Classify circuit breaker
7. Explain the working of circuit breaker with required sketch.
8. Infer the functions earthing.
9. Classify the methods of earthing.

Unit 3 Part B

1. Explain with neat diagram the construction and the working principle of separately excited DC generator.
2. Distinguish between three-phase alternator and three-phase induction motor with their construction and working principle.
3. Draw the construction and working principle of DC motor.
4. Distinguish between three-phase induction motor and synchronous motor with their construction and working principle.
5. Discuss the constructional features of a DC generator.
6. Explain the working principle of a single phase transformer.
7. 
   

   

Unit 4 Part B

1. Draw and explain volt-ampere characteristics of PN junction diode and silicon controlled rectifier.
2. Which biasing is best suitable for bipolar junction transistor amplifier? Explain the same with the circuit.
3. Draw and explain the volt-ampere characteristics of Zener diode and bipolar junction transistor.
4. Draw and explain full-wave rectifier circuit without filter and its input-output waveforms.
5. Explain the working of a depletion type MOSFET with relevant sketches
6. Discuss the operation of common base configuration transistor.

Unit 5 Part B

1. Write short notes on the followings:
   (i) Solenoid.
   (ii) Proximity sensor.
   (iii) Optical transducer.
2. Write short notes on the followings:
   (i)Photo sensor.
   (ii) Hall effect.
   (iii) Strain gauge.
3. Explain the role of sensor and transducer in industrial application with typical example for each.
4. Write short notes on the following:
   (i) Actuator
   (ii) Limit switch
   (iii) LVDT
5. Infer the output of LVDT under three different cases (i) no displacement (ii) upward displacement (iii) downward displacement.
6. Explain the operation of optical encoder with a neat sketch.

 

 

GE3252 Tamils and Technology

Important Questions

Unit 1 Part B

1. What are potteries? Explain the messages conveyed through the graffiti symbols found on the artifacts of the ancient Tamils.
2. Describe with evidence about the literacy of people during the Sangam period.
3. Write an essay on “Weaving industry during the sangam age”.

Unit 2 Part B

1. Write on the technical values of the stage constructions as given in SILAPPATHIKARAM.
2. Briefly explain about the technical facts we can obtain from Mamallapuram sculptures and temples.
3. Explain the knowledge of ancient Tamils’ on construction techniques.
4. Highlight the architectural evolution that took place during Nayak and European period.
5. Explain the structure of Mamallapuram sculptures and temples.
6. What is Hero Stones? Explain its structure and describe the facts related to Tamils as known through hero stones.

Unit 3 Part B

1. Write on technical skills of the Tamils in Metallurgical field.
2. Explain the cultural values of the Tamils through copper and gold coins.
3. Write an essay on the ‘metal resources in Sangam period’.
4. Were there gems factories in ancient times? Explore.
5. Compile the technical details on iron and steel industry of the Tamils found in Sangam literature.
6. Examine how are copper and gold coins give evidences of Tamil language and Tamils history?

Unit 4 Part B

1. Elucidate the knowledge of animal husbandry during Sangam era.
2. “Tamils are the best in Marine knowledge” – Establish this statement.
3. Describe with evidence about the technical skills of the ancient Tamils in agricultural field.
4. Explain the technical knowledge of the ancient Tamils about the ocean.
5. Explain the Irrigation technology that supported agricultural development.
6. Reveal the maritime knowledge of ancient people.

Unit 5 Part B

1. What is Sorkuvai Project? Describe the objectives and functions.
2. Write an essay on ‘Scientific Tamil’.
3. Describe the developmental stages of scientific Tamil.
4. Write an essay on functions and features of Tamil Virtual Academy and Tamil Digital Library.
5. Explain and write about development of Tamil software.
6. Explain about online Tamil dictionaries and highlight their benefits.

 

 

 

PH3201 Physics for Civil Engineering

Important Questions

Unit 1 Part B

1. Explain the factors affecting thermal performance of a building. State the different kinds of thermal measurements.
2. Explain design of solar radiation based on climate. Write short note on shading devices.
3. Explain the thermal insulation of the buildings. Discuss the factors that affect the thermal performance of buildings with example.
4. Describe climate and design of solar radiation.
5. State and define the three modes of heat flow in matters.
6. How will you determine the thermal conductivity of rubber?
7. What are the heat gain and heat loss in buildings?
8. Describe the elements that affect the building thermal performance using examples.

Unit 2 Part B

1. Describe the principle, construction and working of window air conditioner.
2. Explain the different types of air conditioning systems of buildings.
3. Describe the construction and working of window type air conditioner.
4. Discuss the basic concepts of protection of buildings against fire to be caused by A.C. Systems. Mention at least two precautions to prevent fire caused by AC systems.
5. What is natural ventilation? Give the types of natural ventilation. State the advantage and disadvantages of natural ventilation.
6. Explain the principle behind wind driven and stack ventilation mechanism.
7. Develop the design and operation of a fan coil system and a chilled water plant.

Unit 3 Part B

1. What is the scale used for noise level? And define the sound absorption coefficient of materials.
2. Describe any one methods of measurement of sound absorption coefficient of material.
3. What is glare and how do you reduce it?
4. Write in detail the principles and techniques involved in the artificial lightings.
5. Explain the sound absorption methods and different types of sound absorbing materials used in a building.
6. Explain the use of building models and artificial skies in estimating daylight factor and deciding on artificial lighting.
7. Elucidate the impact of noise in multistoried buildings and summarize the preventive measures to reduce noise in multistoried buildings.
8. Discuss the importance of supplementary artificial lightings in detail.

Unit 4 Part B

1. Explain how ceramics can be manufactured by slip casting, isostatic pressing and gas pressure bonding methods.
2. Explain the thermal, mechanical, electrical and chemical properties of ceramics.
3. Describe the types, properties and applications of shape memory alloys.
4. Write note on Ferroelectric ceramics, Ferro magnetic ceramics. High alumina ceramics.
5. What is the function of composites in building construction? Name few of the composites in construction.
6. Explain in detail about the structure and applications of fiber reinforced plastics and fibre reinforced metals.
7. Explain the characteristics of ferroelectric, ferromagnetic and high aluminum ceramica.

Unit 5 Part B

1. Discuss the probabilistic seismic hazard analysis and deterministic seismic hazard analysis.
2. Explain the classification of fire hazards and the cause of fire hazards. Also discuss the prevention and safety measures taken during fire hazard.
3. Discuss earthquake ground motion with types, intensity magnitude.
4. Describe about fire hazards and guidance on preventive measure. Discuss in detail fire proofing materials.
5. Explain the occurrence of earthquake ground motion.
6. Explain the principle and working of a seismograph.
7. Explain in detail how the cyclone is formed?
8. Discuss in detail about fire hazards and guidelines on preventive measure.

 

CE3405 Highway and Railway Engineering

Important Questions

Unit 1 Part B

1. Explain the classification of highways based on the function they serve.
2. Discuss the differences between flexible and rigid pavements and explain the design practices for each.
3. Demonstrate the procedure of various engineering surveys required for locating a new highway.
4. Draw typical cross section of a highway in embankment and cutting and mark the cross-sectional elements.
5. Discuss the factors influencing the highway alignment.
6. Classify the types of rural and urban roads.
7. Elaborate on the four phases of engineering survey for a new highway alignment.

Unit 2 Part B

1. Discuss the design principles of horizontal curves, including super elevation and transition curves.
2. Describe the pavement components and their role in pavement design.
3. A new national highway is to be aligned along a rolling terrain with a ruling minimum radius. If the design speed is 80 kmph. Calculate absolute minimum sight distance, intermediate sight distance, super elevation, extra widening and length of transition curve. Assume necessary data suitably.
4. Calculate the stopping sight distance on a highway whose design speed is 100 kmph. If the highway is on a 3% down grade. Assume any relevant data needed.
5. Derive an expression for widening at curve.
6. Elaborate and derive with a neat sketch of overtaking sight distance.
7. Write step by step procedure for the design of rigid concrete pavement by IRC method.
8. Explain the purpose of providing super elevation and also list the types of gradients.

Unit 3 Part B

1. Explain the construction practice of concrete pavements.
2. Enumerate the different methods of pavement maintenance and explain their importance in pavement performance.
3. Explain briefly the construction procedure of concrete road with material specifications.
4. Draw neat sketches of components of flexible pavements and describe their functions.
5. Explain any four types of tests for bitumen.
6. Explain any four types of tests for coarse aggregates.
7. Write in detail the step-by-step construction procedure of flexible pavement.
8. Mention the importance of highway drainage.

Unit 4 Part B

1. Discuss the various defects that can occur in rails and how they can be detected and prevented.
2. Explain the role of signalling in railway operation and safety.
3. Illustrate various geometric design elements of railway track.
4. If the wheel base of a vehicle moving on a B.G truck is 6m on 4º curves with diameter of wheel as 1.2 m and depth of flanges below the top of rail is 3.21cm. Determine the length of transition curve and extra width required to be provided on the gauge and also calculate the shift.
5. Elaborate with a neat sketch of different components of a permanent way.
6. Write a note on different types of rail failures and also explain types of rail joints.

Unit 5 Part B

1. Paraphrase the construction and maintenance of railway tracks, including conventional and modern methods and materials.
2. Discuss the lay out of a terminal railway stations with a neat sketch.
3. Draw the sketch of a hump type of Marshalling yard and explain its operation.
4. Distinguish between railway station and railway yard with neat sketch.
5. Illustrate with a neat sketch a left-hand turnout of a railway track and mention the types of components.
6. Highlight on feasibility study, planning and construction of MRTS with an example.

 

CE3404 Soil Mechanics Important Questions

Unit 1 Part B

1. The mass of wet soil when compacted in a mould was 25kN. The water content of the soil was 12%. If the volume of the mould was 1100 cc. Determine,
   (i) Dry unit weight
   (ii) Void Ratio
   (iii) Degree of saturation and
   (iv) Percent air voids. Take G = 2.68.
2. A soil sample has a porosity of 45%. The specific gravity of solids 2.70, Calculate,
   (i) Void ratio
   (ii) Dry density
   (iii) Unit weight of the soil, if 50% saturated.
   (iv) Unit weight of the soil, if completely saturated.
3. Describe the structure of soil and explain phase relationship.
4. Explain the methods of field compaction of soil with any one field test carriedout.
5. Describe the phase relationship of the soil and index properties with neat illustration.
6. Explain the theory and significance of compaction of soils.

Unit 2 Part B

1. Compute the total pressure, effective pressure and pore water pressure at a depth of 20 m below the bottom of a lake 6 m deep. The bottom of lake consists of soft clay with a thickness of more than 20m. The average water content of the clay is 40% and specific gravity of the soil may be assumed to be 2.65.
2. Explain in detail the laboratory experiment to determine coefficient of permeability for coarse grained soil with neat sketch. Also derive the suitable governing equation.
3. Discuss the stress distribution in homogenous and isotropic medium for point land using Boussinesq’s theory.
4. Discuss the component of settlement with Terzaghi’s one dimensional consolidation theory.
5. Calculate the following for a sand sample of 20 cm long having a cross sectional area of 35 cm², tested under a constant head of 60 cm with a discharge of 120 ml in 6 min. Take dry mass of sand used for the test as 1320 g and specific gravity as 2.68.     (i) Coefficient of permeability, (ii) Discharge velocity,            (iii) Seepage velocity
6. Explain the procedure for field measurement of pumping out test in aquifers.

Unit 3 Part B

1. A water tank is supported by a ring foundation having outer diameter of 10 m and inner diameter of 7.5 m. The ring foundation transmits a uniform load intensity of 160 kN/m². Compute the vertical stress induced at depth of 4 m, below the centre of ring foundation, using Boussinesque analysis.
2. In a consolidation test, the void ratio of the specimen which was 1.05 under the effective pressure of 214 kN/m², changed to 0.995 when the pressure was increased to 430 kN/m². Calculate the (i) co-efficient of compressibility (ii) Compression index (iii) co-efficient of volume change.
3. Discuss the principle and procedure of tri-axial compression test with a neat sketch.
4. Compute the net safe bearing pressure using modified Teng and Meyerhof equation for a settlement of 30mm for a square footing of size 4 * 4 m to be laid at a depth of 2 m below the ground surface in loose to medium dense sand. Take corrected standard penetration test value N = 11
5. Explain the theory of estimation of stress distribution in a soil and Boussinesq’s assumptions to derive point load expression.
6. Calculate the average settlement of a clay layer for a site having a top layer of fine sand upto a depth of 10.6 m and a soft clay layer below for a depth of 7.6 m. The water table is at a depth of 4.6 m below the ground surface. The submerged unit weight of sand is 10.4kN / (m ^ 3) and wet unit weight above the water table is 17.6kN / (m ^ 3) The water content of normally consolidated clay is 40% with a liquid limit of 45% and the specific gravity of the solid particles is 2.78. The proposed construction produce a net stress of 120kN / (m ^ 2) at the centre of clay layer.

Unit 4 Part B

1. A vane shear 8cm in diameter and 12cm in length was used to measure shear strength of the clay. If a torque of 650 Nm was required in natural state and 1250 Nm in remoulded state, determine shear strength in both the cases.
2. Explain in detail the how shear strength of a soil is determined by unconfined compressive strength. Explain with neat sketch.
3. Discuss Mohr Coulomb failure theory for direct shear with a neat sketch.
4. Compute the shear strength parameters of a clay soil having the failure plane at 55 deg and failure axial stress of 240kN / (m ^ 2) an unconfined cylindrical specimen.
5. Compute the shear strength of soil along a horizontal plane at a depth of 4 m in a deposit of sand having angle of internal friction 35°, dry unit weight of 17 kN/m³, and a specific gravity of 2.7 for the following conditions of ground water table. (i)
   2.5 m depth from ground surface, (ii) at the ground surface
6. Explain the procedure for the measurement of shear strength by direct shear test.

Unit 5 Part B

1. Explain the procedure for analysis of slope stability by Bishop’s slice method.
2. Explain the causes for failure of slopes and protection measures of slope.
3. Explain the types of slopes and causes of failure of slopes with a neat sketch.
4. Describe slope stability analysis by Bishop’s simplified method of slices. with a neat sketch.
5. Write down the procedure for determining the factor of safety of a given slope by friction circle method.
6. In a sloping terrain, it was found that the soil is clayey and weak in nature, suggest any four slope protection methods to stabilize the slope.

 

CE3403 Concrete Technology

Important Questions

Unit 1 Part B

1. Explain any four special cements with their chemical composition and applications.
2. Elaborate the various characteristics of aggregates influencing the properties of concrete.
3. Describe the tests conducted on cement to determine its quality and explain the IS specifications for cement.
4. Explain the quality requirements for water used in concrete and discuss the effect of impurities on concrete.
5. Illustrate the test procedure of determination of initial setting time and final setting time of cement as per IS 4031 guidelines. Also explain the significance of determination of same.
6. Describe the test procedure on determination of compressive strength of cement and soundness of cement as per Indian Standard guidelines. Also explain the significance of determination of same.

Unit 2 Part B

1. What is an admixture? Enumerate any two types of chemical admixtures.
2. Explain the different types of Mineral Admixture added in the concrete and their effects on properties of concrete.
3. Describe the different types of chemical admixtures and their uses in concrete.
4. Discuss the importance of waterproofers in concrete and their effect on the properties of concrete.
5. Summarize the purpose of accelerators and retarders in concrete
6. Discuss the process of production of silica fume and positive impact of addition of silica fume in concrete.
7. Discuss the process of production of Ground granulated blast furnace slag and positive impact of addition of Ground granulated blast furnace slag in concrete.

Unit 3 Part B

1. Explain the procedure to design a concrete mix based on ACI method for construction of residential building.
2. List the types of mixing of concrete and write brief note on physical properties of materials required for concrete mix design.
3. Explain the role of mix proportioning in producing quality concrete.
4. Compare the properties of nominal mix and design mix for M20 grade concrete.
5. Brief in detail on stepwise procedure to design concrete mixture as per IS 10262.
6. Write the various limiting values and data requirements for design of concrete mixture as per IS 10262.

Unit 4 Part B

1. Mention the methods to measure the workability of concrete in field. Explain any two.
2. Describe the tests to be conducted for the properties of hardened concrete.
3. Discuss the different properties of hardened concrete and explain the tests used to determine them.
4. Explain the significance of the stress-strain curve for concrete and the factors affecting it.
5. Write the test procedure to determine compressive strength and flexural strength of concrete as per IS 516 guidelines.
6. Explain the test procedure to determine slump and compacting factor of concrete as per IS guidelines.

Unit 5 Part B

1. Explain the properties of fibre reinforced concrete and its applications.
2. Explain the process of manufacturing of light weight concrete and its applications.
3. Discuss the types of fibers used in FRC and their effect on the properties of concrete.
4. Narrate the different types of special concretes and their uses in construction.
5. Write the important characteristics of self-compacting concrete and its applications.
6. Illustrate the different types of lightweight concrete and its applications.

 

CE3402 Strength of Materials

Important Questions

Part A

1. State Hooke’s Law.
2. What are the assumptions involved in analysis of thin cylindrical Shells?
3. Write the relationship between the rate of loading, shear force and bending moment.
4. State the condition for no tension in section of a beam.
5. State the two theorems in moment area method.
6. Distinguish between actual beam and conjugate beam.
7. Write down the general form of Clapeyron’s three moment equations for the continuous beam.
8. What are the advantages and disadvantages of the fixed beam?
9. Write the failure criteria of materials according to maximum principal strain theory.
10. List out the reasons for unsymmetrical bending.

11. Write a few words on thermal stresses.
12. How will you obtain shear stress distribution for unsymmetrical section.
13. Write the theory of bending equation.
14. Define shear force and Bending moment.
15. State moment area theorems.
16. Write the advantages of Macaulay’s method over integration method.
17. State the theorem of three moment equation.
18. Calculate the fixed end moment for the fixed beam subjected to eccentric point load.
19. Outline the qualitative stress and pressure diagram across the cross section of thick cylinder.
20. Define Unsymmetrical bending.

21. Outline principal planes.
22. Mention the relation between the elastic constants.
23. List any four assumptions made in the theory of bending.
24. Comment on the shear force and bending moment diagrams for different types of loading.
25. What is the slope at the ends of a simply supported beam carrying udl throughout the span?
26. List any four methods to determine deflection of beams.
27. Recall fixed end moments.
28. What are indeterminate beams?
29. Define shear centre.
30. Mention any two applications of theories of failure.

Unit 1 – Part B

1. A compound bar of length 1000 mm consists of a strip of aluminum 50mm wide and 30 mm thick and a strip of steel 60 mm wide x 10 mm thick rigidly joined at the ends subjected to axial tensile force of 60 kN. If elastic modulus of steel and aluminum are 2 x 105 N/mm² and 1 x 105 N/mm², determine the stresses developed in each material and the extension of the compound bar.
2. A load of 100N falls through a height of 20 cm on to a collar rigidly attached to the lower end of a vertical bar 1.5m long and of 1.5cm² cross-sectional area. The upper end of the vertical bar is fixed. Determine,
   (i) Maximum instantaneous stress induced in the vertical bar.
   (ii) Maximum instantaneous elongation.
   (iii) Strain energy stored in the vertical rod.
3. If σx = 45 ΜΡα, σy, = 55 Mpa, τxy=-30 Mpa, determine the principal stresses on the element. Solve the problem using Mohr’s circle.
4. A solid shaft of 250mm diameter is to be replaced by a hollow steel shaft with internal diameter equal to 0.5D where D is the external diameter. Design the hollow shaft and find out the saving in material. The value of maximum shear stress may be assumed as same for both the shafts of equal length.
5. A solid steel shaft of 60 mm diameter is to be replaced by a hollow steel shaft of the same material with internal diameter equal to three fourth of external diameter. Find the diameters of the hollow shaft and saving in material, if the maximum allowable shear stress is the same for both shafts.

6. A circular steel bar ABCD, rigidly fixed at A and D is subjected to axial loads of 50 kN and 100 kN at B and C as shown in Fig. Q.11(a). Find the loads shared by each part of the bar and displacements of the points B and C. Take E for steel as 200 GPa.

   

   
   

Unit 2 – Part B

1. A beam is loaded as shown in Fig. Q. 12(a). Construct the shear force and bending moments diagrams for the beam and mark the values of the important ordinates. 
   

   

2. A rectangular beam, simply supported over a span of 4m, is carrying a udl of 50 kN/m. Find the dimensions of the beam, if the depth is 2.5 times its width. Take maximum bending stress in the beam section as 60 MPa.
3. A simply supported beam of 2m span carries a UDL load of 140 KN/m over the whole span. The cross section of the beam is a T section with a flange width of 120mm web and flange thickness of 20mm and over all depth of 160 mm. Determine the maximum shear stress in the beam and draw the shear stress distribution for the section.
4. A 10m long simply supported beam caries two-point loads of 10kN and 6 kN at 2m and 9m respectively from the left end. It also has a UDL of 4kN/m run for the length between 4m and 7m from the left end. Draw shear force and bending moment diagrams.
5. A simply supported beam of span 4m carries audl of 6kN/m over the entire span. The maximum allowable stress due to bending is restricted to 150 N/mm². Evaluate the cross sectional dimensions, if the section is
   (i) Rectangular with depth twice the breadth
   (ii) Solid circular section
6. A 6m long cantilever beam carries loads of 5kN, 8kN and 15kN at 1m, 2.5m and 5m respectively from the free end and a uniformly distributed load of 12kN/m over a length of 4m from the fixed end. Draw shear force and bending moment diagrams.

Unit 3 – Part B

1. Using the Conjugate beam method, find the mid span deflection of the beam shown in Fig. Q. 13(a). Take E = 200 GPa and I= 200 × 104 m².
   

   

2. A beam AB of span 8 m is simply supported at the ends. It carries a uniformly distributed of 30 kN/m over its entire length and a concentrated load of 60 kN at 3 m from support A. Determine the location and magnitude of the maximum deflection in the beam by Macaulay’s method. Take E = 200 GPa and I = 80 x 104 m².
3. A simply supported beam of 12m span carries a concentrated load of 30kN at a distance of 9m from the end A. Determine the deflection at the load point and the slopes at the load point and at the two ends. Take I= 2 x 10 mm and E = 205 GPa. Use moment area method.
4. A simply supported beam of 8 m length carries two-point loads of 64kN and 48kN at 1 m and 4m respectively from the left hand. Find the deflection under each load and the maximum deflection E-210GPa and I 180 x 106 mm. Use Macaulay’s method.
5. Using the moment area method, determine the slope and deflection at free end of the cantileverbeam when it is subjected to uniformly distributed load over entire length and point load at the free end.
6. A cantilever beam of 3.5m length and of uniform rectangular cross section of 200mm wide and 400mm deep is loaded with a point load of 25kN at its free end subjected to an uniformly distributed load of 15kN/m run over its entire length. Assume Young’s modulus E 210GN/m². Calculate the slope and maximum deflection of the beam by using double integration method.

Unit 4 – Part B

1. A fixed beam of 9 m span subjected to two point loads of intensity 200 kN and 300 kN at a distance of 3 m and 6 m from right end, respectively. Take modulus of elasticity E=2 x 10⁸ kN/m² and moment of inertia I=10 x 10⁸ m². Find maximum deflection in the beam.
2. A continuous beam ABCD has three spans AB, BC and CD, each of length 3 m, 6 m and 5 m respectively. The beam is loaded with uniformly distributed load of intensity 4 kN/m, 8 kN/m and 4kN/m over the spans AB, BC and CD respectively. Draw the bending moment diagram and shear force diagram for the beam. Take flexural rigidity EI= 2 x 10⁸ kNm².
3. Using the theorem of three moments, analyze the continuous beam as shown in figure 14 (a) below and draw the shear force and bending moment diagrams.
   

   

4. Obtain the end moments of a two-span continuous beam as shown in figure 14 (b) using theorem of three moment and draw the bending moment diagram.
   

   

5. Analyse the continuous beam shown in Fig. Q. 14(a) using the Theorem of three moments. 
   

   

6. A fixed beam of 6 m span supports two point loads of 300 kN each at 2 m from each end. Find the fixing moments at the ends and draw the B.M. and S.F. diagrams. Find also the central deflection. Take I = 9 * 10 ^ 8 * m * m ^ 4 and E = 200 GPa.
   

Unit 5 – Part B

1.  
   

   

2. A cylindrical shell made of mild steel plate and 1.2 m in diameter is to be subjected to an internal pressure of 1.5 MN/m². If the material yields at 200 MN/m², calculate the thickness of the plate on the basis of the following three theories, assuming a factor of safety 3 in each case. (i) Maximum principal stress theory, (ii) Maximum shear stress theory,  (iii) Maximum shear strain energy theory.
3. A Channel section has flanges 120mm x 20mm and web 160mm x 10mm. Total depth of the section is 200 mm. Determine the shear center of the channel section.
4. Explain in detail on various theories of failure with its application.
5. A thick walled closed-end cylinder is made up of an aluminum alloy has a Young’s modulus of 70 GPa and Poisson’s ratio as 0.3. It has an internal diameter of 150 mm and outside diameter of 500 mm. The fluid is subjected to an internal fluid pressure of 150 MPa. Determine the principal stresses and maximum shear stress at a point on the inside surface of the cylinder. Also, determine the increase in inside diameter due to fluid pressure.
6. The principal stress in the wall of a container are 40 MN/m² and 80MN/m². Determine the normal, shear and resultant stresses in magnitude and direction in a plane, the normal of which makes an angle of 30° with the direction of maximum principal stress.