Human Resource Management (3330001) Important Questions UNIT-1 Human Resource Management- Introduction 1. Explain the characteristics of Human Resources Briefly. 2. What is the impact of Human factors on productivity and industrial harmony? 3. Explain need for human resource in the industrial environment. 4. Discuss function of Human Resources Management. UNIT-2 Human Needs, Relations and Values 1. Explain Douglas Mc Grgor’s theory “X ” &”Y” and state it’s importance in HRM. 2. Explain Maslow’s need hierarchy & it’s importance in HRM. 3. Write short note on “Job satisfaction”. State the factors affecting the job Satisfaction. 4. Explain on Human Relations and Need for value. 5. Explain on Ethics, Moral Value and its Important. 6. Explain importance of Human Resources in Indian Philosophy. 7. Write short note on primary and secondary needs. UNIT-3 Behavioral Dynamics 1. Explain the importance of mental health in group dynamics. 2. Write short note on (1) Johari window (2) Democratic leadership. 3. Explain on Need for interpersonal competence. 4. Explain situational Approach to Leadership. 5. Explain on concept of group dynamics. 6. Describe the role of the group in the organization. 7. Define leadership. List different style of leadership, explain all. 8. Explain importance of positive attitude and openness of mind. 9. Explain concept of interpersonal relation and attraction and its importance in human behavior. 10. What are desirable characteristics of a group member?
Transcript
Human Resource Management (3330001)
Important Questions
UNIT-1 Human Resource Management- Introduction
1. Explain the characteristics of Human Resources Briefly.
2. What is the impact of Human factors on productivity and industrial harmony?
3. Explain need for human resource in the industrial environment.
4. Discuss function of Human Resources Management.
UNIT-2 Human Needs, Relations and Values
1. Explain Douglas Mc Grgor’s theory “X ” &”Y” and state it’s importance in HRM. 2. Explain Maslow’s need hierarchy & it’s importance in HRM. 3. Write short note on “Job satisfaction”. State the factors affecting the job Satisfaction. 4. Explain on Human Relations and Need for value. 5. Explain on Ethics, Moral Value and its Important. 6. Explain importance of Human Resources in Indian Philosophy. 7. Write short note on primary and secondary needs.
UNIT-3 Behavioral Dynamics
1. Explain the importance of mental health in group dynamics.
2. Write short note on (1) Johari window (2) Democratic leadership.
3. Explain on Need for interpersonal competence.
4. Explain situational Approach to Leadership.
5. Explain on concept of group dynamics.
6. Describe the role of the group in the organization.
7. Define leadership. List different style of leadership, explain all.
8. Explain importance of positive attitude and openness of mind.
9. Explain concept of interpersonal relation and attraction and its importance in human
behavior.
10. What are desirable characteristics of a group member?
UNIT-4 Leadership Developments
1. Explain the need for training, Importance of training and method of training.
2. Why is motivation necessary? Explain the importance if motivation in the Human
resources Development.
3. Write notes on:
a. Methods of training
b. Role of supervisor as trainer and motivator
c. Importance of training
4. What is counseling? Explain the need for counseling.
5. Explain the importance of the decision-making in the management.
6. Briefly explain the classification or types of decision.
7. Briefly explain various decision making techniques.
8. Explain decision making process in brief.
9. State the models generally used for decision making.
10. Give the types of decision. Explain in brief.
11. Explain the factors affecting the decision making.
12. Write notes on:
a. Qualitative Decision techniques
b. Quantitative Decision techniques
UNIT-5 Change and Stress Management
1. Explain the importance of change.
2. Enlist types of Barriers to change. Explain the Barriers to the change in brief.
3. Write short note on conflicts in management.
4. Explain the trade union. Objective and Function of Trade Union.
5. Explain causes of conflicts.
6. Explain strategies to manage change.
7. Explain the definition of stress and discuss its importance in the human resources
management.
8. Explain the concept of the stress and discuss the causes resulting into stress.
9. Explain Causes resulting into stress.
10. Explain stress management techniques.
11. Explain techniques to relieve stress.
12. Explain in detail on ‘Stress Management’.
FMHM
(3331903) Important Questions
UNIT-1 FLUID AND FLUID PROPERTIES
1. Define following properties. a). Specific gravity b). Specific weight c). Kinematic viscosity d). Kinematic viscosity e). Mass
density f). Specific volume g). Density h). Specific gravity i). Surface tension j). Capillarity
2. What is fluid ? state the types of fluid. Explain any one of it. 3. Write Newton’s law of viscosity and distinguish between Newtonian and non- Newtonian
fluid. 4. Define surface tension of fluid and derive its equation. 5. State Newton’s law of viscosity .Classify fluid and explain characteristics of each. 6. Define viscosity and derive its equation.
UNIT-2 FLUID STATICS
1. Explain the working principle of Dead weight pressure gauge with neat sketch. 2. Give classification of pressure measuring devices 3. State and derive Pascal s law of pressure. 4. Classify the pressure measuring device. Explain any one in brief 5. Explain working of Inclined tube manometer with neat sketch 6. A simple mercury(sp.gr.13.6)U-tube manometer is used to measure the pressure
of oil(sp.gr.0.8)flowing in a pipe. Its left end is connected to the pipe & mercury is
12 cm. below the center line of the pipe.I ts right end is open to atmosphere. If the
Difference between levels of mercury in both ends is 32 cm. Find the pressure of oil
in meter of water. The pressure of oil is more than atmosphere.
7. Write Short note on (1) Bourdon Pressure Gauge. 8. Write short note on (1) Single tube well type Manometer. 9. Simple U-tube manometer containing mercury was used to find pressure of oil having
specific density of 0.9. In the left limb the level of oil was 30 cm below the centre line of pipe and in right limb mercury level was 45 cm below the centre line and right limb is open to atmosphere.
10. A differential U-tube manometer, having manometric fluid as mercury, is connected between inlet and throat of a horizontal venture meter through which oil of specific
gravity 0.85 is flowing. If the difference in mercury level is 200mm, calculate pressure difference in meters of water, N/m2 and meter of oil column. Take specific gravity of Mercury as 13.6.
(f) Stream line, Streak line, Path line, Flow net and Stream tube.
3. Water is flowing through a pipe of 20 cm. diameter at section 1-1 and 30 cm. diameter at
section 2-2.The velocity of the water at section 1-1 is 4 m/s. Find (1) Discharge through the
pipe.(2)Velocity of the water at section 2-2.
4. What is meant by impact of jet?
5. Derive the equation of force exerted by horizontal jet of water striking a stationary vertical flat plate.
6. Derive the equation of force, work done and efficiency due to jet striking normally on a flat moving vertical plate.
7. Derive expression for calculating impact of force, work done and efficiency on series of moving flat plate. Also find out condition for maximum efficiency.
8. Derive the equation of force exerted by horizontal jet of water striking a stationary inclined flat plate.
9. Derive the equation of force and work done by horizontal jet of water striking a moving inclined flat plate.
10. Derive the equation of force and work done due to impact of jet on a moving curved vane when the jet strikes at the centre.
11. Derive the equation of force and work done due to impact of jet on a moving curved vane when the jet strikes at one end and leaves at other end.
12. State the expression for the dynamic force in the following cases: (a) single flat moving plate (c) series of flat moving plate (b) single inclined moving plate
13. Find the force exerted by the jet of water of diameter 75mm on a stationary flat plate, when the jet strikes the plate normally with a velocity of 20m/s.
14. A 40mm diameter water jet comes out from the pipe with a 75m head. It strikes on a stationary flat plate normally. If velocity coefficient is 0.9, find the force on the plate due to jet.
15. A 5cm diameter of jet is moving with a velocity of 30m/s, strikes a moving flat plate, normal to the jet. Flat plate is moving with a velocity of 8m/s. calculate force exerted , work done/sec, and efficiency.(A M 06)
16. A 60mm diameter jet is moving with the velocity of 30m/s and strikes normally on the moving flat plat. The plate moves with the velocity of 240m/min. find force, work done, and efficiency for the given condition.(JUNE 08)
17. A 5 cm diameter jet is moving with a velocity 30m/s, strikes of series of flat plates normally. Find the force exerted and work done if the plate moves with a velocity 8m/s. also calculate the efficiency(O N 07)
18. A 50mm diameter jet coming out of a nozzle having a velocity of 25m/s strikes a flat plate, which is inclined at an angle 60˚ to the axis of jet. Calculate the normal force exerted on the plate, when the plate is stationary. Also calculate the components of force Fx and Fy in the x and y direction respectively.
19. A jet of water 1.5cm diameter impinging on a cup at its centre and is deflected by 170˚. if the velocity of jet is 10m/s and that of cup is 5m/s. estimate the force developed, work done in case of single cup.(NOV 06)
20. A jet of water 2cm diameter impinging on a cup at its centre and is deflected by 165˚ . If velocity of jet is 15m/s and that of cup is 7m/s, estimate forces developed and in case of sufficient no of such cups are arranged on the periphery of a wheel such that there is at least one cup always facing the jet all the times. Estimate its efficiency.
21. A water jet of 5cm diameter moving with a velocity of 20m/s, strikes a curved stationary and symmetrical blade, at its centre. If jet is deflected through an angle of 120˚ at the outlet end of plate, find force exerted by water jet in the direction of jet.(M-J 04)
22. A jet of water of diameter 7.5cm moving with velocity of 30m/s strike a stationary curved plate tangentially at one end and at angle 30˚ with horizontal. The jet leaves the plate at angle 20˚ to the horizontal. Find the force exerted by the jet on plate in horizontal and vertical direction.(O N 04)
UNIT-4 FLUID DYNAMICS & FLOW MEASUREMENTS
1. State and Derive Bernoulli’s equation. Write limitation and assumption.
2. The water is flowing through a taper pipe of length 100m having diameters 600mm at
the upper end and 300mm at the lower end, at the rate of 50 lit/sec.The pipe has a
slope of 1in 30.Find the pressure at the lower end if the pressure at the higher level is
19.62 N/cm².
3. A 6mm long pipe is inclined at an angle of 15° with the horizontal. The smaller section of
the pipe which is at lower level is of 80mm diameter and the larger section of the pipe is
of 240mm diameter. If the pipe is uniformally tapering and the velocity to water at the
smaller section is 1m/s determine the difference the difference of pressure between the
two sections.
4. Water flows at a rate of 150 lit/sec in the pipe. Pressure at specified section is
450kpa.assuming ideal fluid &elevation of100 meter from datum. Determine total
energy head of water at specified section where diameter is 250mm.
5. List types of flow measuring devices. Explain principle of operation and working of
venturimeter and Derive equation for same.
6. Write only the equation for discharge for the following flow measuring devices:
7. State and explain equation for measuring discharge through rectangular notch
Or 90° triangular notch.
8. Define
(a) Co-efficient of discharge (b) Venacontracta (c) Co-efficient of velocity
(d) Notch (e) Orifice (f) Co-efficient of contraction.
9. A right angle V-notch was used to measure the discharge of a centrifugal pump. If the
depth of water on V-notch is 200mm, calculate the discharge over the in
lits/min.Assume Co=efficient of discharge as 0.62.
10. A horizontal venturimeter 160mm x 80mm used to measure the flow of an oil of specific
gravity of 0.80.Determine the deflection of the oil mercury gauge, if the discharge of the
oil is 50 lit/sec.
11. Sketch a pitot tube and derive equation for velocity of flow in open channel.
12. Water discharging at the rate of 98.2 lit/sec. through a 12cm diameter vertical sharp edged orifice placed under a constant heat of 10m, find co-efficient of discharge.
13. Write short note on Rotameter.
UNIT-5 FLOW THROUGH PIPES
1. Define following terms: Reynold’s Number,Upper Critical velocity,Lower Critical Velocity
2. Explain Reynold’s experiment with neat sketch. 3. State and derive Darcy’s Weisbach formula for finding out the head loss due to friction
in flow through pipes. 4. Sketch velocity distribution of liquid flowing over a pipe cross section. 5. What is water hammer? How it produced? What are its ill effects? 6. Classify flow based on Reynold’s number. 7. In a pipe of 10cm diameter, a lubricating oil flows with a velocity 1m/s. Find whether
the flow is laminar or turbulent? Dynamic viscosity of oil is 0.1NS/m2 and density is 930 Kg/ m3.(O-N 07)
8. A crude oil of kinematic viscosity 0.4 stokes is flowing through a pipe of diameter 25 cm. and length 40 meter at a rate of 250 lit/s. The friction factor of pipe f =0.005.Find frictional head loss, Reynolds number & Types of flow.
9. Oil at a rate of 8litre/sec is flowing in a pipe. Kinematic viscosity of oil is 9 x 10-6 m2/s. What should be the diameter of pipe, if the flow is to be controlled as laminar flow. (NOV 06)
10. Calculate the frictional head losses for oil passing through pipe which is 500m long and 300mm diameter. The quantity of oil passing per sec is 200 liters. Assume friction factor=0.0023. (JUNE 08)
11. Find the loss of head due to friction in pipe of 1m diameter and 15km long, the velocity of water in the pipe is 1m/s. Take f=0.005.(O-N 04)
12. Find the frictional head loss in a pipe having diameter 150mm and length 400m. Flow of water through pipe is 35.4lit/sec. Take f=0.01.(A-M 05)
13. A 80m ling pipe having 10cm diameter is connected to water tank at one end and water flow freely in the atmosphere at other end. The height of water level in the tank is 2.6m above the center line of pipe. The pipe is horizontal and has friction factor f=0.01. Considering friction loss only. Calculate the discharge through pipe.(O-N 05)
14. Water is supplied to a town having a population 3,00,000 , which is 5km away form reservoir. Head loss in pipe is 16m. The daily consumption of water per person is 150 litre and half of the daily supply is pumped in 8 hrs. Determine size of pipe. Take f=0.01. (M-J 07)
UNIT-6 HYDRAULIC PUMPS & PRIME MOVER.
1. Draw neat sketch of Pelton wheel and label various parts of it. 2. State at least four names of various hydro electric power plants in India using Pelton
wheel. 3. Draw neat diagram of Kaplan turbine and explain its working. 4. Compare Pelton wheel, Francis turbine, and Kaplan turbine. 5. Describe draft tube, its advantages and state its types with neat sketches. 6. Define specific speed and state the importance of specific speed. 7. Specific speeds for different turbines are given below. Name the types of turbine. (1)
Specific speed 10 to 35(2) 35 to 60 (3) 60 to 300 (4) 300 to 1000. 8. Calculate velocity of jet and water power in KW by using following data:
Discharge -500litre/sec
Diameter of jet-200mm
Head of water -40m
9. List the function of air vessel in Reciprocating Pump. 10. Classify pumps and explain the construction and working of Centrifugal pump with the
help of neat sketch. 11. The dia. Of double acting Reciprocating pump is 20 cm. and its length of stroke is 40
cm..Its delivery & suction heads are 30 meter & 5 meter respectively including frictional head. The spread of pump is 75 rpm., then calculate actual power , if overall efficiency of the pump is 80%.
12. Explain Suction head, Delivery head, Frictional head & Total head of Reciprocating Pump.
13. What is priming? Explain various methods of priming. 14. The dia. of double acting reciprocating pump is 15 cm.& its length of stroke is 30 cm.Its
delivery & suction head are 26m.and 4m.respectively including frictional head.If the speed of pump is 60 rpm.& efficiency is 80%,than calculate the power required to drive the Pump.
15. A Centrifugal Pump discharges water at the rate of 60 lit/sec. against 35m.head.Find power of pump,if efficiency of the pump is 55%.& frictional head loss is 15 meter.
16. Draw performance characteristic curves of Centrifugal pump. 17. State causes & remedies for pump’s faults.
UNIT-7 HYDRAULIC ELEMENTS & DEVICES
1. Explain with neat sketch Hydraulic lift. 2. Explain with neat sketch Hydraulic press . 3. Explain with neat sketch Hydraulic ram 4. Explain working principal of hydraulic intensifier. 5. Explain working principal of accumulator 6. Write down application of pneumatic system. 7. State advantages and disadvantages of pneumatic system. 8. State basic requirement of pneumatic circuit. 9. Explain main part of pneumatic system. 10. Explain with sketch single acting and double acting cylinder of pneumatic system.
THERMODYNAMICS
(3331902) Important Questions
UNIT-1 BASIC CONCEPT OF THERMODYNAMICS
1. Differentiate between Reversible & Irreversible process. 2. Define property & explain various types of properties of the system with their units in
S.I. system. 3. Define & classify system boundary & explain any two types of boundaries with example. 4. Explain thermodynamic equilibrium. 5. Difference between: (1) Extensive & Intensive properties (2) Extrinsic & Intrinsic
properties (3) Microscopic & Macroscopic properties (4) Heat & Work (5) point function & path function
6. Explain all types of thermodynamic systems with classification of boundaries having suitable examples and diagrams.
7. Explain Zeroth law of thermodynamics & give its use. 8. Explain quasi static process with neat sketch. 9. Define Continuum concept & explain classical and statistical thermodynamics. 10. Define: system, surrounding, boundary, universe, state, unique state, property, energy,
process, cycle 11. Classify energy & explain each in brief.
UNIT-2 FIRST LAW OF THERMODYNAMICS
1. Derive general energy equation & deduce steady flow energy equation from it.
2. Derive equation W = - vdP for open system. 3. Explain first law of thermodynamics for open system & derive general energy equation
for open system. 4. Prove that internal energy is the property or point function. 5. Explain how first law of thermodynamics is applied on steam turbine, boiler & nozzle. 6. Describe Joule’s experiment with neat sketch. 7. Explain control mass and control volume concepts.
UNIT-3 SECOND LAW OF THERMODYNAMICS
1. State Kelvin Plank and Clausius statement for second law of thermodynamics. Deduce equivalence between both statements on the basis of diagrammatic representation.
2. Explain Term “Entropy.” How entropy change evaluated in reversible and irreversible process.
3. Explain International Practical Temperature scale. 4. Define the following
(a) Heat reservoir (b) Efficiency of heat engine (c) COP of heat pump (d) Reversible cycle (e) Sink (f) Source
5. Differentiate between reversible and irreversible process 6. What is entropy? Explain it’s important in thermodynamics 7. During a cycle heat engines absorbs 6000 kJ/hr of heat energy from the source having
temperature of 327˚c and reject 3000 kJ/hr of heat energy to the sink having temperature of 27˚c .Find the thermal efficiency of the cycle .Is this cycle is reversible or irreversible.
UNIT-4 IDEAL GASES & PROCESS
1. State and Explain : (i) Boyle’s Law (ii) Charles’s Law (iii) Gay Lussac’s Law (iii)
Avogadro’s Law.
2. Using ideal gas laws, derive characteristic equation for an ideal gas.
3. Define Cp & Cv. Derive Cp – Cv = R with usual notations.
4. If the value of universal gas constant is 8.314 KJ/KG moles K then find the value of
characteristic gas constant for N2 gas.
5. Derive expression of work done during isentropic process.
6. Derive expression of work done during isothermal process.
7. Derive expression of work done during isobaric process.
8. Derive an expression of work done during polytrophic process of an ideal gas.
9. From PVr = Constant. Prove T1/T2 = (V2/V1) r-1 = (P1/P2) r-1/ r for an Ideal Gas.
10. Certain quantity of a perfect gas is heated in a reversible isothermal process from 1 bar
and 400C to 10 bar. Find the work done per kg of gas and change in enthalpy per kg of
gas. Take R = 287 J/KG K.
UNIT-5 THERMODYNAMIC CYCLES
1. Difference between process & cycle. Classify thermodynamic cycle. Derive air standard
efficiency of Otto cycle.
2. Explain diesel cycle. Derive air standard efficiency of diesel cycle.
3. Derive the equation of air standard efficiency for Bray ton cycle.
4. Represent dual cycle on P- V and T – S diagram and indicate different process n it.
5. State characteristics & application of Otto cycle.
6. Derive equation n = T1 – T2/T1 for Carnot cycle.
7. A heat engine operates between a source temperature of 1073 K and sink temperature
of 313 K. What is the least rate of heat rejection per KW net power output of an engine.
8. An Otto cycle engine having clearance volume is 20% of its swept volume. Find air
standard cycle efficiency if r = 1.4.
9. An engine working on Otto cycle has a cylinder diameter of 150 mm and stroke of 225
mm. The clearance volume is 1250 cm3; find the air standard efficiency of the cycle.
Take r = 1.4.
MANUFACTURINR ENGINEERING- I
(3331901)
Important Questions
UNIT-1 Introduction to manufacturing process
1. Define the term manufacturing process. Classify the manufacturing process. 2. Define recrystallisation temperature. Discuss factors on which recrystallisation
temperature of metal depends. 3. Differentiate between hot working and cold working. 4. Define the following terms:
5. What is the grain growth in metal? State the factor on which the grain growth depends. 6. Explain importance of recrystallisation temperature in hot working process. 7. Define residual stresses and explain its effect on manufacturing of engineering
components.
UNIT-2 Metal working processes
1. What is the effect of hot working process on the structure of metal? 2. List the various types of rolling mill and explain two high rolling mills with neat sketch. 3. What are the various elements of a rolling mill? State the function of each Element. 4. State the advantages and disadvantages of hot rolling process. 5. State the factors affecting on rolling process. Explain the effect of roller diameter on
rolling process. 6. Differentiate between Hot rolling and cold rolling mill. 7. State the common defects in cold rolled product and their causes 8. Explain hot rolling process with a neat sketch. 9. Explain ingot, bloom, billet, and slab with neat sketch. 10. List the correct sequence of forging operation for producing a link for a chain. 11. Discuss defects observed in forged parts. 12. What is drawing operation? State the factors affecting on drawing operation. 13. Explain with neat sketch blank drawing and wire drawing. 14. Explain with neat sketch tube drawing operation. 15. State the advantages and disadvantages of extrusion process. 16. Differentiate forward and backward extrusion process with neat sketch.
17. List different methods of forging process and explain any one. 18. List different metal forming process and give one application of each process. 19. Explain the following process: curling operation, bulging operation, spinning process,
stretch forming operation, shot pinning, embossing 20. State the advantages and disadvantages of forging process. 21. Explain press forging. 22. Describe with the help of a neat sketch the upset forging operation. 23. Why crankshafts are general produced by a forging method? Explain. 24. List the correct sequence of forging operation for producing a hexagonal headed bolt. 25. Explain spinning process and shot peening process with neat sketch. 26. Explain blanking and piercing operation. 27. Give classification of press. 28. Differentiate between Hot working and Cold working Process and state the limitations
of Hot Working. 29. Define Extrusion. Explain indirect Extrusion with neat sketch. 30. State the common defects in forged components stating the reasons for those defects.
UNIT-3 Metal Casting Processes
1. What is casting process? State its advantages over other processes. 2. List various pattern materials. State the advantage and disadvantage of any one material. 3. Explain different pattern allowances. 4. Explain master pattern. State the use of contraction rule in the pattern making. 5. Enlist various types of patterns and explain any three with neat sketch. 6. List the type, shape and size of moulding sand. 7. Explain binder used in moulding sand. 8. Name various types of moulding sand giving the function of each. 9. List various types of furnaces with their field of application. 10. Draw a neat sketch of cupola and show different zones on it. 11. List defects observed in casting. Explain reasons and remedies for inclusions. 12. List the advantages and disadvantages of shell moulding. 13. Explain green sand moulding. 14. Explain different salvage techniques for castings. 15. Define core. Describe the briefly method of core making. 16. List the various types of cores and Explain balanced core with sketch. 17. Explain following properties of moulding sand.
18. State the types of furnaces used in foundries. Describe in brief the working of induction furnace
19. Explain Horizontal and hanging core with sketch. 20. What is gating system? What is its function? State the function of runner and riser. 21. Explain with sketch Pit furnace and Oil fired furnace.
22. Explain centrifugal casting. 23. Explain investment casting. 24. Explain Die casting. 25. State advantages, disadvantages and application of shell moulding. 26. List the sequence of steps in the preparation of dry sand mould. 27. Explain the procedure of cleaning the casting after they are taken out from the mould. 28. Write short notes: colour codes used for pattern as per IS
UNIT -4 Non-metal moulding processes
1. Write short notes on : injection moulding 2. Write short notes on : blow moulding
UNIT-5 Metal Joining Processes
1. Classify the welding processes. 2. Explain principle of gas welding and write its advantages and disadvantages. 3. List the equipments used in gas welding and state function of each. 4. State gas welding techniques and state function of each. 5. List advantages, disadvantages and application of gas welding. 6. List the equipments used in arc welding and state function of each. 7. Explain MIG welding process. 8. Explain seam welding with neat sketch. 9. Write a short note:
a) Defects in weld joint b) Weld, its symbol and sectional representation c) Brazing
10. State various defects in weld joints and state their causes. 11. Draw three types of Oxy-acetylene flames showing different zones. 12. Explain construction and working of welding torch with neat sketch used in gas welding. 13. Explain with neat sketch backward welding and forward welding. 14. Explain TIG welding process. 15. Explain submerged arc welding with neat sketch. 16. State difference between soldering and brazing. 17. State four advantages of TIG and MIG welding process over arc welding. 18. Write a short note on Thermit welding. 19. Explain the principle of Resistance welding. 20. Explain consumable and non-consumable electrode used in arc welding. 21. Explain Brazing. List the sequence of operation in brazing process. Name various filler
metals used in Brazing. 22. Explain the principle of arc welding. 23. State the function of flux used in submerged arc welding. 24. Write a short note:
a) LBW b) Adhesive joining c) Safety precautions in welding shop.
25. Explain Ultrasonic welding. 26. Explain with neat sketch the principle of EBW. 27. State precautions to be observed during arc welding. 28. Write a short not on electrode used in arc welding. Write it applications. 29. Why brazing is preferred instead of welding for tool bits?
Basic Electrical & Electronics Engineering
(3331905)
Important Question
UNIT-1 FUNDAMENTALS OF ELECTRICAL ENGINEERING &
MAGNETIC CIRCUIT (1) How electricity generated by nuclear power plant, explain with diagram.
(2) Explain right hand rule & cork screw rules.
(3) Explain the term (a) mmf (b) magnetic field (c) reluctance (d) permeability
(4) Explain the term (a) electric current (b) emf (c) resistance (d) conductor (e)
semiconductor
(5) Explain series & parallel connection of resistor.
(6) Give difference between direct current & alternating current.
UNIT-2 ELECTRICAL COMPONENTS, TOOLS &
INSTRUMENTS (1) Explain the types of wires.
(2) Explain the difference types of switches.
(3) Explain the difference types of Fuses.
(4) Explain the wiring tools & their uses.
(5) Explain the single phase energy meter.
(6) Explain the CRO with its block diagram.
UNIT-3 ELECTRICAL MACHINES, DRIVES &
TRANSFORMERS (1) Explain basic principle, construction &working of generator.
(2) Explain the types of DC generator.
(3) Explain the principle & working of dc motor.
(4) Explain the AC alternator.
(5) Explain star & delta connection in three phase circuit.
(6) Explain basic principle, construction & working of three phase induction motor.
(7) Explain AC servo motor.
(8) Explain principle, construction, & working of transformer.
(9) Explain auto transformer.
UNIT-4 ELECTRICAL SAFETY & PROTECTION (1) What is rectifier? Explain two diode full wave rectifier.
(2) Explain the UPS block diagram.
(3) Explain the MCB with its diagram.
(4) What is earthing? Explain the plate earthing.
(5) Explain the reason for electrical accidents
(6) Explain the ELCB with its diagram.
(7) What is filter? Define the types of filter & explain the shunt capacitor filter & π filter.
(8) Explain the opto isolator in detail.
UNIT-5 ELECTRONIC COMPONENTS & CIRCUITS (1) What is resistor? Explain carbon composition & carbon ceramic type resistor.
(2) What is capacitor? Explain mica capacitor.
(3) Explain the different types of fixed inductors.
(4) Explain N- type & P- type semiconductor.
(5) Explain PN junction diode.
(6) Explain construction & working of SCR.
(7) Explain the MCB with its diagram.
(8) Explain digital control system.
N.G.PATEL POLYTECHNIC, ISROLI-AFWA,
STRENGTH OF MATERIAL - Tutorial No.1
Chapter No.-1 Direct Stresses & Strain Subtopic-1 Stress, Strain and Elongation
1 A Circular rod of diameter 20 mm and 500 mm long is subjected to a tensile force 45 KN. The
modulus of elasticity for steel may be taken as 200 KN/mm2. Find stress, strain, and elongation of the bar due to applied load. [σ = 143.24 N/mm2, e = 0.0007162, δl = 0.358 mm]
2. A mild steel rod is 10 mm in diameter and 1.2 m long. It is subjected to tensile force. If increase in
length is 5 mm and E=200 GPa, calculate tensile force, stress and strain. [P=65.34KN, σ=832 N/mm2, €=0.00416]
3. A load of 5 KN is to be raised with the help of a steel wire. Find the minimum diameter of the steel wire, if the stress is not to exceed 100 MPa. [d=7.98 mm]
4. In an experiment, a steel specimen of 13 mm diameter was found to elongate 0.2 mm in a 200 mm gauge length when it was subjected to a tensile force of 26.8 KN If the specimen was tested within the elastic range, what is the value of Young’s modulus for the steel specimen? [201.9 KN/mm2]
5. A hollow steel tube 3.5 m long has external diameter of 120 mm. In order to determine the internal diameter, the tube was subjected to a tensile load of 400KN and extension was measured to be 2 mm. If the modulus of elasticity for the tube material is 200 GPa, determine the internal diameter of the tube. [d=99.71 mm]
6. A timber column of rectangular cross-section is having one side twice the other. It contracts by .005 cm/m when subjected to axial compressive force of 10 KN. Find dimensions of the column. Take E=0.1 x 105 N/mm2. [a=100 mm, b=200mm]
7. A short hollow C.I. cylindrical pipe sustains a compressive load of 140 KN. Its outside diameter is
101.6 mm. If the crushing stress for the material is 250 N/mm2, Calculate the thickness of metal using a factor of safety 1.75. [t=3.169 mm]
8. A vertical steel bar 625 mm long is stretched by a tensile force P KN. If the volume of bar is 410 x 103 mm3 and E=210 KN/mm2 calculate the value of force P in KN. [P=137.76 KN]
9. The piston in a hydraulic ram is 400 mm in diameter and diameter of piston rod is 60 mm. The fluid pressure on the rod side is 1N/mm2. Calculate extension of the rod over a length of 1 m. Es=200 KN/mm2. [δl=0.217 mm]
N.G.PATEL POLYTECHNIC, ISROLI-AFWA,
STRENGTH OF MATERIAL - Tutorial No.2
Chapter No.-1 Direct Stresses & Strain Subtopic-2 Elastic Constants
1. A steel bar is 20 mm in diameter and 1 m long. It is subjected to axial tensile force of 40 KN. E=2 x
105 N/mm2. µ=0.25. Calculate change in length and diameter of the bar. [δl=0.63 mm, δd=0.00318 mm]
2 A rectangular bar 40 mm wide and 30 mm thick is 0.5 m long. It is acted upon by axial tensile force 120 KN. E=200GPa and µ=0.25. Find change in dimension of the bar. [δl=0.25 mm, δb=0.005 mm, δt=0.00375 mm]
3 A bar of 150 x 150 x 50 mm size is subjected to compressive force of 400 KN. If Poisson’s ratio is 0.3 and E=2 x 105 N/mm2. Find Change in each dimensions of the bar. . [δl=0.12 mm, δb=0.012 mm, δt=0.012 mm, δv=120 mm3]
4 An elastic rod is 25 mm in diameter and 150 mm long. It is subjected to tensile force of 52 KN. As a
result length increase by 0.1 mm and diameter decrease by 0.003 mm. Find young’s modulus and Poisson’s ratio. [E=1.59 x 105 N/mm2, µ=0.18]
5 A steel bar 12 mm diameter is subjected to axial tensile force of 35 KN. Calculate gauge length,
change in length and change in diameter of the bar. µ=0.3, E=200GPa [Lo=60 mm, δl=0.093 mm, δd=0.00556 mm]
6 A mild steel bar 300 mm long and 12 mm in diameter is subjected to an axial tensile force P, due to
which the linear strain caused is 3 times more than the lateral strain. if the diameter of the rod reduced by 0.12 mm, find the value of P. Take E=2 x 105 N/mm2. [P=678.54 KN]
7 A steel bar 400 mm in length elongates by 10 mm under axial tensile load of 360 KN. Considering
m=3 and E=2 x 105 N/mm2, Find original diameter and final diameter. [d=9.57 mm, Final dia=9.49 mm] 8 In experiment a bar of 30 mm diameter is subjected to a pull of 60 KN. The measured extension on
gauge length of 200 mm is 0.09 mm and the change in diameter is 0.0039 mm. Calculate the Poisson’s ratio and the value of the three moduli.
[µ=0.289, E=188.9 x 103 N/mm2, G=73.3 x 103 N/mm2, K=149.2 x 103 N/mm2]
9 A circular rod of 100 mm diameter and 500 mm long is subjected to a tensile force of 1000 KN.
Determine modulus of rigidity, bulk modulus and change in volume if Poisson’s ratio= 0.3 and young modulus E=2 x 105 N/mm2 [G=0.7692 x 105 N/mm2, K=1.667 x 105 N/mm2, δv=1000 mm3]
10 In a tensile test on a steel bar 20 mm diameter and gauge length 130 mm, the elongation corresponding to a load of 90 KN was found to be 0.16 mm. If the Poisson’s ratio for the metal is 0.3, calculate the reduction in diameter and bulk modulus of the bar.
[δd=7.38 x 10-3 mm, K=194384 N/mm2] 11 A rivet hole of 20 mm diameter to be made in a steel plate 10 mm thick by a punch. The shearing
strength in plate is 200 N/mm2, find force required to make hole. Also find compressive stress in punch. [P=125663.7 N, σ=400 N/mm2]
12 The ultimate shear stress of a mild steel plate of 10 mm thickness is 350 N/mm2. Calculate the
diameter of hole that can be punched to it without exceeding a compressive stress of 700 N/mm2.
[d=20 mm] 13 If the maximum compressive stress of a punch is four times the maximum shear stress of the plate to
be punched, show that the smallest diameter of hole that can be punched in a plate has a diameter equal to the thickness of the plate.
14 If the stress in the punched is 180 MPa and shear stress of plate is 90 MPa, determine the size of the
square punch if it has to punch 20 mm thick plate. Also determine the corresponding force on the punch. [40 mm x 40 mm, P=288KN]
15 The allowable compressive stress in a punch material is 250 N/mm2 and the punch is used to pierce circular holes in plates of thickness 15 mm and of ultimate shear stress 65 N/mm2. Calculate the maximum diameter of the holes that can be pierced. Also find the force required to do so.
[d=15.6 mm, P=47.78 KN]
N.G.PATEL POLYTECHNIC, ISROLI-AFWA,
STRENGTH OF MATERIAL - Tutorial No.3
Chapter No.-1 Direct Stresses & Strain Subtopic-3 Composite Sections
1. A cylindrical steel bar of 100 mm diameter is inserted in a copper pipe of external diameter 200 mm
and internal diameter 100 mm. A compressive load of 45 KN is applied on this compound section. Find out stress and compressive strain in both the metal. Take Es=210 KN/mm2 and Ec= 110 KN/mm2. [σc=1.16 N/mm2, σs=2.22 N/mm2, Єs=1.057 x 10-5, Єc=1.057 x 10-5]
2. A short hollow cast iron column of 0.3 m external diameter and 0.2 m internal diameter is filled with
concrete. The column carries a total load of 1.2 MN. If E for cast iron is six times E for concrete, calculate the stress in the two materials. [σc=4.494 MN/m2, σci=26.963 MN/m2]
3. A copper bar of 36 mm diameter is inserted inside a steel tube of external diameter 50 mm and 5 mm
thickness. The composite section is subjected to tensile force of 100 KN. Find stress in both the materials. Also find load taken by each material Es=2.12 x 105 N/mm2, Ec=1.1 x 105 N/mm2. [σc=42.24 N/mm2, σs=80.64 N/mm2, Pc=43 KN, Ps=57 KN]
4. A copper bar of 20 mm diameter is tightly fitted inside a steel tube of external diameter 30 mm. The
length of composite section is 100 mm. If it is subjected to axial force of 60 KN, find stress in steel and copper. Es=200 KN/mm2, Ec=160 KN/mm2. [σc=74.53 N/mm2, σs=93.16 N/mm2]
5. A short compound tube is made up of a copper tube of inner diameter 84 mm and outer diameter 104
mm, inside which there is a steel tube of inner diameter 64 mm and outer diameter 84 mm. The compound tube is subjected to an axial compressive load of 123 KN. Determine the loads shared by the two materials, if E for steel is twice that of copper. [Pc= 47775 N, Ps=75225 N]
6. A concrete column of 350 mm diameter is reinforced with four bars of 25 mm diameter. Find the
stress is steel when the concrete is subjected to a stress of 4.5 MPa. Also find the safe load the column can carry. Take modular ratio is 18. [σs=81 MPa, 592 KN]
7. A load of 270 KN is carried by a short concrete column 250 mm x 250 mm in size. The column is
reinforced with 8 bars of 16 mm diameter. Find the stress in concrete and steel, if the modulus of elasticity for the steel is 18 times that of concrete. If the stress in concrete is not to exceed 5 MPa, find the area of steel required, so that the column may carry a load of 500 KN. [σc=3 N/mm2, σs=54 N/mm2, As1=2206 mm2]
8. In an R.C.C. column of size 300 x 300 mm the area of concrete is 35 times more than the area of steel while the permissible compressive stress in steel is 35 times more than the permissible stress in concrete. If the total load on column is 875 KN. find the value of stress in concrete and steel. [σc=5 N/mm2, σs=175 N/mm2]
9. A weight of 30 KN is hanged from three wires of equal length. The outer two wires are of steel and
have an area of 100 mm2 each, where the middle wire of aluminum and has an area of 200 mm2. If the elastic module of steel and aluminum are 200 GPa and 80 Gpa respectively, then calculate the stresses in the aluminum and steel wires. [σA=50 N/mm2, σs=125 N/mm2]
10. A reinforced concrete circular column of 400 mm diameter has 4 steel bars of 20 mm diameter
embedded in it. Find the maximum load which the column can carry, If the stress in steel and concrete are not to exceed 120 MPa and 5 MPa respectively. Take modulus of elasticity of steel as 18 times that of concrete. [P=735150 N]
11. A composite bar is made up of a brass rod of 25 mm diameter enclosed in a steel tube of 40 mm
external diameter and 30 mm internal diameter. The rod and tube, being coaxial and equal in length, are securely fixed at each end. If the stresses in brass and steel are not to exceed 70 MPa and 120 MPa respectively, find the load the composite bar can safely carry. Also find the change in length, if the composite bar is 500 mm long. Take E for steel tube as 200 GPa and brass rod as 80 GPa respectively. [P=89570 N, δl=0.3 mm]
12. A compound bar of length 500 mm consists of a strip of aluminum 50 mm wide x 20 mm thick and a
strip of steel 50 mm wide x 15 mm thick rigidly joined at ends. If the bar is subjected to a load of 50 KN, find the stresses developed in each material and the extension of the bar. Take elastic modulus of aluminum and steel as 1 x 105 N/mm2 and 2 x 105 M/mm2 respectively. [σa=20 N/mm2, σs=40 N/mm2, δl=0.1 mm]
N.G.PATEL POLYTECHNIC, ISROLI-AFWA,
STRENGTH OF MATERIAL - Tutorial No.4
Chapter No.-1 Direct Stresses & Strain Subtopic-4 Thermal stress and strain
1. A steel rail is 10 meters long at a temperature of 20° C. Estimate the temperature stress in the rail
when the temperature increases to 55° C, if (i) no allowance is made for expansion, (ii) an allowance of 2 mm is made for expansion. Take α=0.000012/°C and E=20 x 104 N/mm2. [84 N/mm2, 44N/mm2]
2. A 2 m long bar is at 150 C temperatures. If temperature is increased up to 900 C, find extension of the bar. If this deformation is prevented find stress in the bar. E=2 x 105 N/mm2, α=12 x 10-6/0 C [δl=1.8 mm, σ=180 N/mm2]
3. A steel of 20 mm diameter and 4.5 m long is heated through 400 C above the atmospheric temperature when ends are clamped. on cooling back to atmospheric temperature, the clamps have yielded by 0.5 mm. Calculate the value and nature of force exerted on bar by end clamps. Take E=200 KN/mm2 and α=10 x 10-6 per degree centigrade. [σ=57.77 N/mm2, P=18.15 KN, tensile force]
4. The length of new steel rail is 10 m at 200 C temperature. If in summer, the maximum temperature goes up to 450 C, find out gap that should be maintained between two consecutive rails, so that it may not be distorted or overlap on each other. Take E=2 x 105 N/mm2 [3 mm]
5. A steel rod 20 mm in diameter and 200 mm long is heated through 1000 C and at the same time subjected to an axial pull “P”. If total elongation of the rod is 0.30 mm, calculate the magnitude of pull “P”. The coefficient of linear expansion of steel is 12 x 10-6/0C and E=200 KN/mm2. [δl1=0.24 mm, P=18.85 KN]
6. A railway line is laid at 500 F. calculate (1) The stress produced in the rails at 1500 F, if there is no provision for expansion. (2) The stress if there is 10 mm gap left between the rails. (3) The gap that should be left in the rails if there is to be no stress at 1500 F. [ (1) σ=130 N/mm2 (2) σ=63.33 N/mm2 (3) δl=19.5 mm ]
7. A steel rod of length 4.2 m and diameter 20 mm is being held between two plates at a temperature of 700 C. Find out the force exerted by the rod after it has been cooled to 200 C.(i) If the plates do not yield (ii) If the total yield at the two ends=1mm. Take Es=2 x 105 N/mm2 and αs=12 x 10-6/0 C [P=37.698 KN,(ii)P=22.74KN]
N.G.PATEL POLYTECHNIC, ISROLI-AFWA,
STRENGTH OF MATERIAL - Tutorial No.5
Chapter No.-1 Direct Stresses & Strain Subtopic-5 Strain energy
1. A 100 N load falls from a height of 60 mm on a collar attached to a bar of 30 mm diameter and 400
mm long. Find the instantaneous stress and extension produced in the bar. Take E=2 x 105 N/mm2. [σ=92.273 N/mm2, δl=0.1842 mm]
2. A steel bar 20 mm diameter and 1m long is freely suspended from a roof and is provided with a collar
at other end. If modulus of elasticity is 2 x 105 and maximum permissible stress is 300 N/mm2, find (a) The maximum load which can fall from a height of 50 mm on the collar. (b) The maximum height from which a 600 N load can fall on the collar. [W=2745.08 N, h=234.12 mm]
3. A steel rod 20 mm diameter and 400 mm long has a collar at lower end and is fixed at top. A load of 60 N falls freely along the rod and strikes the collar. If the instantaneous stress is not to exceed 250 N/mm2, find the maximum height from which the load can be allowed to strike the collar. How much is the stress produced, if the load falls from a height of 200mm? Take E= 2 x 105 N/mm2. [h=326.75 mm, p=195.63 N/mm2]
4. A weight of 50.8 KN acts suddenly on a bar of 18 mm diameter. Length of bar is 1 m. If E= 2 x 105
N/mm2. Find instantaneous stress and modulus of resilience. [σ=399.26 N/mm2, um=0.398 n.mm/mm3]
5. A vertical steel bar is 3 m long and 200 mm2 cross section area. Due to sudden load stress of 60
N/mm2 is produced and length increase by 80 mm. Find the force and modulus of elasticity. [P=6KN, E=2250 N/mm2]
6. Show that the strain energy stored due to sudden load is four times the strain energy stored due to
gradual load of same amount.
7. A steel rod of 1.4 m length and 20 mm diameter hangs vertically and it has a collar securely attached
at lower end find the maximum instantaneous stress induced when weight of 230 N falls on the collar from a clear height of 138 mm. Take E=2 x 105 N/mm2. Also find strain energy stored and modulus of resilience. [σ=170.63 N/mm2, u=32012.22 N.mm, um=0.0727 N.mm/mm3]
N.G.PATEL POLYTECHNIC, ISROLI-AFWA,
STRENGTH OF MATERIAL - Tutorial No.6
Chapter No.-1 Direct Stresses & Strain Subtopic-6 Thick & Thin cylinders and Tensile test
1. A thin cylindrical shell of 1 m internal diameter and 16 mm wall thickness is subjected to internal
pressure 8 N/mm2. Calculate hoop stress and longitudinal stress. [f1=250 N/mm2, f2=125 N/mm2] 2. A cylinder having internal 200 mm diameter is subjected to internal pressure of 6 MPa. The ultimate
stress of the material is 300 MPa. Keeping factor of safety of 2.5 calculate thickness of the metal. [t=5 mm]
3. A cylinder having internal 500 mm φ is subjected to internal pressure of 6 MPa. the ultimate stress of
the material is 900 MPa. Keeping factor of safety of 3, calculate the thickness of the metal. [t=5mm] 4. A gas cylindrical has internal diameter 1.2 m and 20 mm thickness. If tensile stress in the metal is not
to exceed 100 N/mm2, find maximum gas pressure inside the cylinder. [p=3.33 N/mm2]
5. A thin cylindrical shell of internal diameter 1.2 m and thickness 15 mm is subjected to an internal
pressure of 20 N/mm2. Find circumferential and longitudinal stresses. [f1=800 N/mm2, f2=400 N/mm2]
6. A tension test on mild steel specimen gave the following results. (i) Original diameter of bar=10 mm (ii) Orginal gauge length=50 mm (iii) Final diameter=6.5 mm (iv) Final gauge length= 58.5 mm (v) Ultimate load=36 KN (vi) Breaking load=28 KN (vii) Yield load=24 KN Calculate the followings:
Chapter No.-3 Stresses in beams Subtopic-1 Moment of Inertia
1. A T-section has following dimensions Flange = 150 mm x 50 mm Web = 150 mm x 50 mm [Ixx=53.125 x 106 mm4, Iyy=15.625 x 106 mm4] 2. Find M.I of ‘I’ section having Top and bottom flange100 mm x 10 mm and web 280 mm x 10 mm. [Ixx=6.03 x 107 mm4, Iyy=16.893 x 105 mm4] 3. An I- section has following dimensions. Top flange = 20 cm x 8 cm Bottom flange = 10 cm x 4 cm Web = 28 cm x 6 cm Find Ixx & Iyy of the section. [Ixx=60327.73 mm4, Iyy=6170.66 mm4] 4. Calculate moment of inertia of an ISA 90 x 90 x 8 mm. [Ixx=1.06 x 106 mm4, Iyy=1.06 x 106 mm4] 5 Find M.I of Channel section having Top and bottom flange 90 mm x 10 mm and web 90 mm x 10
mm. Also find MI at the base of channel. [Ixx=5.22 x 106 mm4, Iyy=1.415 x 106 mm4, Ibase = 13.29 x 106 mm4]
6. A Rectangular figure has width 400 mm and depth 800 mm. There are two holes each of 200 mm
diameter on y-y axis, one at 200 mm and other at 600 mm depth from top edge of rectangle. Calculate M.I on x-x and y-y axis.
[ Ixx=1.439 x 1010 mm4, Iyy=4.108 x 109 mm4] 7. An inverted T-section has following dimensions Flange = 130 mm x 10 mm Web = 100 mm x 8 mm [Ixx=2.175 x 106 mm4, Iyy=1.835 x 106 mm4]
N.G.PATEL POLYTECHNIC, ISROLI-AFWA,
STRENGTH OF MATERIAL - Tutorial No.8
Chapter No.- 3 Stresses in beams Subtopic-2 Bending Stresses
1. A simply supported beam of 6 m span is subjected to u.d.l. of 15 KN/m on full length. The size of
beam is 200 mm x 300 mm. Find maximum bending stress in the beam. E=2 x 105 N/mm2. [f=37.5 N/mm2]
2. A simply supported beam of span 5 m has a cross-section 150 mm x 250 mm. If the permissible
stress is 10 N/mm2, find maximum intensity of uniformly distributed load it can carry. [w=5 KN/m]
3. A circular pipe of external diameter 70 mm and thickness 8 mm is used as a simply supported beam
over an effective span 2.5 m. Find the maximum concentrated load that can be applied at the center of the span if permissible stress in tube is 150 N/mm2. [W=5219.63 N]
4. A simply supported beam of length 4 m carries a point load of 40 KN at the centre and is supported at
ends. Find the cross-section of beam assuming depth to be twice the width. The maximum bending stress in beam is not exceed 200 N/mm2. [b=67 mm, d=134 mm]
5. A rectangular beam 60 mm wide and 150 mm deep is simply supported over a span of 6 m. If the
beam is subjected to central point load of 12 KN, find the maximum bending stress induced in the beam section. [σmax=80 N/mm2]
6. A rectangular beam 300 mm deep is simply supported over a span of 4 m. What uniformly distributed
load the beam may carry, if the bending stress is not to exceed 120 MPa. Take I=225 x 106 mm4. [w=90 N/mm]
7. A beam is having depth 450 mm and Ixx=2.25 x 108 mm4. The beam is simply supported at ends and
subjected to u.d.l. of 40 KN/m. If maximum bending stress is not to exceed 125 N/mm2, find span of the beam. [l=5 m]
8. A cantilever beam is rectangular in section having 80 mm width and 120 mm depth. If the cantilever
is subjected to point load of 6 KN at the free end and the bending stress is not to exceed 40 MPa, find the span of the cantilever beam. [l=1280 mm]
9. A hollow square section with outer and inner dimensions of 50 mm and 40 mm respectively is used
as a cantilever of span 1 m. How much concentrated load can be applied at the free end of the Cantilever, if the maximum bending stress is not exceed 35 MPa? [W=430.5 N]
10. A simple steel beam of 4 m span carries a uniformly distributed load of 6 KN/m over its entire span and a point load 2 KN at its centre. If the permissible stress does not exceed 100 MPa, find the cross-section of the beam assuming depth to be twice of breadth. [b=59.4 mm, d=118.8 mm]
11. A rectangular beam 12 cm wide and 30 cm deep subjected to B.M. bending stress in a fibred at 10 cm
from N.A. is 4 N/mm2. Find B.M. and maximum bending stress. [M=10.8 x 106 N.mm, σ=6 N/mm2] 12. A simply supported beam of I-Section has following dimension
Flange=100 x 25 mm Web=250 x 20 mm Span of the beam=5 m Find the uniformly distributed load acted upon beam if permissible bending stress in the beam is 120 N/mm2. [w=30.93 KN/m]
13. 75 mm wide and 12 mm thick steel flat is bent is a circular from of 16 m radius by applying couple at its ends. Determine the maximum stress developed and amount of couple. Take E=200 GPa. [σ=75 N/mm2, M=135 N.m]
14. A mild steel plate 80 mm wide and 10 mm thick is subjected to B.M. of 140 N.m find the radius of
arc when it is bent under this moment. Also find maximum bending stress produced at that time. Take E=2 x 105 N/mm2 [σ=105 N/mm2, R=9.52 m]
15. A beam of T-Section having flange dimension 500 x 20 mm and web dimension 600 x 20 mm is
subjected to shear force of 10 KN. Find maximum shear stress and draw the stress distribution curve. [0.038 N/mm2, 0.95 N/mm2, 0.955 N/mm2]
16. A beam of I-Section having top & bottom flange dimension 200 x 25 mm and web dimension 300 x
12.5 mm is subjected to shear force of 200 KN. Find maximum shear stress and draw the stress distribution curve. [52.1 N/mm2 at neutral axis located at 175 mm from base, 2.78 N/mm2, 44.48 N/mm2]
17. A wood beam 100 mm wide, 250 mm deep and 3 m long is carrying a uniformly distributed load of
40 KN/m. Determine the maximum shear stress and sketches the variation of shear stress along the depth of the beam. [τav=2.4 N/mm2, τmax=3.6 N/mm2]
N.G.PATEL POLYTECHNIC, ISROLI-AFWA,
STRENGTH OF MATERIAL - Tutorial No.09
Chapter No.- 8 Principal planes and Principal stresses
1. The principal stresses at a point across two perpendicular planes are 60 MPa and 50 MPa. Find the normal, tangential and resultant stress and its obliquity on a plane at 200 with the major principal plane. [σn=58.83MPa, τxy=3.21 MPa, σr=58.91 MPa, φ=3.120]
2. At a point in a strained material, the two normal stresses acting on two mutually perpendicular plane
are 180 MPa tensile and 50 MPa compressive. A shear stress of 20 MPa is also acting on these planes. Find the normal stress, the tangential stress and the resultant stress on a plane inclined at 300 to the plane of compressive stress. Also find the angle of obliquity. [σn=24.82MPa, τxy=109.6 MPa, σr=112.37 MPa, φ=77.240]
3. In a strained material, the state of stress at a point is given below :
σx=40 MPa, σy=25 MPa and τxy=15 MPa. Find the following parameters: (a) Principal stresses (b) Maximum shear stress (c) Angle of inclined plane [σ1=49.27 MPa, σ2=15.73 MPa, θ=76.720 &166.720]
4. In a strained material, the state of stress at a point is given below : σx=25 MPa(Tensile), σy=5MPa(compressive), and τxy=30 MPa. Find the following parameters: (d) Principal stresses (e) Maximum shear stress (f) Normal stress (g) Position of the principal planes [σ1=43.54 MPa, σ2=-23.54 MPa, τmx=33.54 MPa, σn=10 MPa, θ=31.70 &121.70]
5. At a certain point in a strained material, there are two mutually perpendicular planes. The normal stresses acting on them are 80 MPa tensile and 30 MPa compressive, if the major principal stress is 100 MPa tensile, find the following :(a) The shear stress acting on two planes (b) minor principal stress (c) Max. shear stress [τxy=51 MPa, σ2=50 MPa, τmax=75 MPa]
6. At a certain point in a strained material on a particular plane only shear stress of 500 N/mm2 is acting. Find normal, tangential and resultant stress on a plane inclined at 250 with vertical plane. Also find principal stresses and locate principal planes. [σn=390 N/mm2, τ=320 N/mm2, σr=500 N/mm2, σ1=500 N/mm2, σ2=-500 N/mm2, φ1=450,φ2=1350]
7. At a point in a strained material on a plane tensile stress 800 N/mm2 and shear stress 300 N/mm2 are
acting. Find principal stresses and locate principal planes. [σ1=900 N/mm2, σ2=-100 N/mm2, τmax=500 N/mm2,φ1=18.430, φ2=108.430]
8. On a plane of strained material resultant tensile stress 500 N/mm2 is acting at an angle 300 with the
plane. On the other plane perpendicular to the first plane, tensile stress of 300 N/mm2 is acting. Find principal stresses and locate principal planes. [σ1=625.19 N/mm2, σ2=107.81 N/mm2, τmax=258.69 N/mm2,φ1=37.550, φ2=127.550]
9. A body is subjected to shear stress of 20 N/mm2, find normal, tangential and resultant stress on a
plane inclined at 300 with the vertical plane. [σn=17.32 N/mm2, τ=-10 N/mm2,σr=20 N/mm2]
10. At a certain point in a strained material two direct tensile stresses 40 N/mm2 each are acting. Find
normal, tangential and resultant stress on a plane inclined at 450 with the principal plane. [σn=40 N/mm2, τ=0, σr=40 N/mm2]
11. A steel bolt of 500 mm2 cross section area is subjected to tensile force of 10 KN and shear force of 5
KN. Find principal stresses and maximum shear stress. [σ1=24.14 N/mm2,σ2=-4.14 N/mm2, φ1=22.50φ2=112.50]
12. On a body, on two perpendicular planes 120 N/mm2 tensile stress and 90 N/mm2 compressive stress
are acting. If major principal stress is 150 N/mm2 (tensile), find shear stress that can be applied on a body. [τ=84.85 N/mm2]
