TUTOR MARKED ASSIGNMENTignou.ac.in/userfiles/BTCM-BTWRE Third Year(1).pdf · TUTOR MARKED ASSIGNMENT ... What is the function of a silt ejector and where is it located? ... Q.7 (a)

TUTOR MARKED ASSIGNMENT

ET 540 (Part B)

FLOW IN OPEN CHANNEL

Note : All questions are compulsory. Marks assigned to the question have been shown in the brackets. This assignment is based on all Blocks of Flow in Open Channel.

Maximum Marks : 100 Weightage : 30%

Course Code : ET-540B Last Date of Submission : Sept. 30, 2014

BTCM/BTWRE

Q.1 (a) Explain what we understand by piezometric head.

(b) At a point in a pressure flow (pipe flow) if the velocity is further increased by dv (m/s) what change shall take place in the original piezonmetric head ‘h’ ?

(c) A pipe, 0.75 km long is inclined at an angle 15° to the horizontal with the 20 cm diameter end being higher than the 10 cm diameter end of the pipe. It carries a flow of 0.65 m3/s, running full. Construct its energy line and hydraulic grade line, assuming f = 0.1

(d) What will be the configuration of the lines in (c) above if f = 0, and 0.15 ?

(2+2+4+2=10)

Q.2 (a) A circular conduit (d0 = 2.5m) has a depth of flow (i) 1.5 m, and (ii) 0.8m. In each case find A, P, R, D, and Z. Calculate the quantities without using any table.

(b) Explain why the factor 1.49 is omitted in Manning’s formula while dealing in MKS units.

(c) Solve (a) above for: (i) a trapezoidal section (b = 3.00 m; z = 1.5), and (ii) a triangular

section with the bottom angle = 45° rest of the data remaining same as in (a) above.

(5+2+2+1=10)

Q.3 (a) A circular conduit, 0.85 m in diameter, has a bed slope of 0.0016, and n = 0.013. Find graphically the normal depth for a flow of 0.52 cumec.

(b) Solve (a) above for a trapezoidal section, b = 0.85 m, and z = 1, the rest of data remain unchanged.

(c) A rectangular channel has a bottom width of 4.8 m, with n = 0.002. For yn = 0.86 m, and Q = 7.5 m3/s, determine the normal slope.

If this normal slope is not provided, and instead greater/lesser slope is provided for this Q, what will happen to the given yn?

(5+3+1+1=10)

Q.4 Construct (to scale) the specific energy curve for a 90-cm circular conduit, with

Q = 0.65 cumec, if:

(i) it is laid with So = 0,

(ii) it is laid with 30º slope, and

(iii) it is laid with 15º slope.

(2+5+3=10)

Q.5 (a) A trapezoidal channel (z = 1.5) expands from a bed width of 2.75 m to 3.5 m. If the depth of the flow upstream of the expansion is 2.00 m, and the velocity of flow is 1.70 m/s, estimate the depth of the flow after the expansion by graphical method, and by algebraic method.

(b) If in (a) above z = 2.0, and the bed width expands from 3.00 to 4.00 m, solve the problem with rest of the data remaining the same.

(7+3=10)

Q.6 (a) After flowing over a spillway, with 5.10 m2/s (=q) discharge intensity, the flow passes over a level concrete apron (n = 0.014). The velocity at the root of the spillway is 14.2 m/s and the tail water depth remains 3.6m. In order that the jump be contained on the apron, how long should it be built? How much energy is lost from the foot of the spillway to the downstream end of the jump?

(b) if in (a) above, the velocity at the foot of the spill way = 15.1 m/s, and tail water depth is 3.4 m; solve the problem, with other data remaining the same.

(7+3=10)

Q.7 (a) A trapezoidal channel (z = 2) expands uniformly from a bottom width of 12.0 m at its upstream end to a width of 21.0 m at its downstream end over a distance of 1.5 km. The depth of flow at the down stream end is 4.8 m when the channel carries Q = 85 m3/s. The average slope of the river in this reach is 10-3 with n = 0.019. Calculate the depth of flow at distances: 1.5, 1.0, 0.75, 0.6, 0.3 and 0.2 km from the downstream end of the reach towards the upstream. Use standard step method.

(b) If in (a) above z = 1.5, and the upstream bed width is 14.5 m, solve the problem. (7+3=10)

Q.8 (a) Water flows from under a sluice into a trapezoidal channel (b = 6.25 m, Z = 1.5, So= 0.0038,

α = 1.1, and n = 0.024). The sluice gate is lifted to give Q = 13.25 cumec with a depth of 0.32 m at the vena contracta. What is the slope of the water surface at the point where the depth of flow = 0.5 m, and what is its sign? What happens to the depth of flow beyond this location? Designate the water surface profile obtained in the channel.

(b) Solve (a) above if the channel is rectangular channel (b = 6.25 m, z = 0) with rest of the data remaining unchanged.

(7+3=10)

Q.9 (a) A long channel has four different prismatic reaches. The first and the last reach have mild slopes, with the second being steep, and the third being critical for a given flow. The channel ends into a drop. Sketch out the appropriate profiles along the full channel length and identify these profiles. Reason out your conclusions. Use a drawing sheet for the sketches to be drawn.

(b) Solve (a) above if the channel has a barrier (say a weir) at the end instead of ending in a drop.

(b) Write a 300 words note on a control section in an open channel. Give neat sketches.

(6+2+2=10)

Q.10 (a) A wide rectangular channel carries a θ = 5.0 cumec per metre width of the channel on a bed slope of 0.0015. A weir across the channel raises the water depth at weir site to 3.82 m. Compute the flow profile from the weir site to an upstream section where the depth of the flow is 3% greater than the normal depth of flow. Use Bresse method, and assume suitably any other data if at all felt necessary.

(b) A trapezoidal channel (b = 5.75 m, z = 2) is laid to a slope of 0.0014, and carries Q = 30 cumec. The channel terminates in a free overfall. Compute the flow profile from the end site to a location where the depth of flow is 1% less than the normal depth of flow. Use direct step method. (Assume suitably any data felt necessary).

(6+4=10)


ET 536 (Part B)

HYDRAULIC STRICTURE - II

Note : All questions are compulsory and carry equal marks. This assignment is based on all Blocks of Hydraulic Structure II.



BTCM/BTWRE

Q.1 (a) What are main canal, branches, distributaries and minors? Give standard cross-sections of these channels.

(b) Write short notes on (i) berm, (ii) borrow pits, and (iii) spoil banks, and (iv) rugosity coefficient.

Q.2 (a) How do syphon aqueducts differ from ordinary aqueducts; and what are their respective mechanics of flow?

(b) What are the various design parameters for cross-drainage works? Discuss the individual influence of each paramter, and measures necessary to ensure structural safety of the works.

Q.3 (a) Describe Kennedy’s theory for the design of irrigation channel in alluvial soil. Also discuss the drawbacks of Kennedy’s theory.

(b) Design an irrigation channel in alluvial soil according to Lacey’s silt theory for the following data.

Full supply discharge = 10 cumec

Lacey’s silt factor = 0.9

Side slopes of the channel = 0.5 (H) : 1 (V)

Q.4 (a) What are the objectives of a distribution system? Explain Warabandi system.

(b) Define sensitivity of an outlet. Find the relation between sensitivity and flexibility of an outlet.

Q.5 (a) Describe various types of canal lining with their respective advantages and disadvantages.

(b) Design a trapezoidal shaped concrete lined channel to carry a discharge of 200 cumec at a slope of 30 cm/km. The side slopes of the channel are 1.5 : 1. The value of n may be taken as 0.017. Assume limiting velocity in the channel as 2 m/s.

Q.6 (a) What causes distributary channels to draw excessive silt? What are silt vanes, reverse vanes, Gibb’s groyne walls and skimming platforms? Explain their actions.

(b) What is the function of a silt ejector and where is it located? What are the components of a silt ejector? Explain.

Q.7 (a) What is a canal head regulator and where it is located? Discuss the reasons for the same.

(b) What are the design criteria for distributary head regulators and cross regulators? Give justifications.

Q.8 (a) Why do we need roughening devices downstream of a canal fall, and what locations are suitable for positioning them? Describe in detail all the types of roughening devices that are available for use.

(b) Explain pipe drop spillway. Given, H = 2 m, d = 15 cm, f = 0.012, L = 4 m. Determine the discharge capacity for the pipe drop spillway.

Q.9 (a) What is a navigation lock? How are locks filled and emptied?

(b) What is meant by river training? List the various objectives of river training. How are river training works classified?

Q.10 The following data pertain to a bridge site of a river.

Maximum discharge = 17000 cumec

Highest flood level = 288.00 m

River bed level = 280.00 m

Average diameter of river bed material = 0.10 mm

Design and sketch a guide bank including the launching apron to train the river.


ET – 302B

TECHNICAL WRITING

Note : All questions are compulsory and carry equal marks. This assignment is based on all Blocks of Technical Writing.


Course Code : ET302B Last Date of Submission : Sept. 30, 2014

BTCM/BTWRE

Q.1 Explain briefly the basic principles of good technical writing.

Q.2 How will you use the techniques of technical writing in your writing? Q.3 Illustrate in detail the aspects of technical writing. Q.4 How do you apply the various aspects of technical writing in your technical papers? Q.5 (a) Discuss the various elements of a formal report.

(b) Explain briefly types of reports.

Q.6 (a) Discuss the different components of a formal proposal. (b) Write brief notes on solicited and unsolicited proposals.

Q.7 Write as many reasons as you can to state why oral presentation skills would be useful

to you now or in the future.

Q.8 (a) Explain briefly nature and importance of oral presentations. (b) What are the important steps in preparing an effective oral presentation?

Q.9 Write a technical article on “Use of Fly-ash in construction”.

Q.10 Write brief notes on the following.

(a) Title of a technical article. (b) Methodology in technical article.


ET – 302A

COMPUTER PROGRAMMING & NUMERICAL METHODS

Note : All questions are compulsory. This assignment is based on all Blocks of Computer Programming & Numerical Methods.


Course Code : ET302A Last Date of Submission : July 31, 2014

BTCM/BTWRE

Q.1 Write example FORTRAN programs with flowcharts making use of flow control structures to do the following. (a) To find the maximum among n given numbers (b) To evaluate p to the power q, where p and q are non-zero integers

(c) To find all the roots of a quadratic equation.

(15)

Q.2 Write an example FORTRAN programs to clearly distinguish between call by reference and call by value. What is the role of COMMON statements?

(10)

Q.3 (a) Give a comparison chart of merits and demerits of the following methods:

(i) False position Method

(ii) Muller’s Method

(b) Write a FORTRAN program to find the root of the equation x3 – x – 4 = 0 using the bisection method in the interval [1 2] to two decimal places.

(20)

Q.4 List the methods you have learnt for solving algebraic and transcendental equations. Explain Newton-Raphson method. Write a common FORTRAN program for Bisection method and Newton-Raphson method by giving the user a choice to use either of them.

(20)

Q.5 Compare and contrast between Gauss Elimination method and Gauss-Jordan reduction method. Explain clearly the matrix inversion method with an example.

(15)

Q.6 Using second order Taylor series method, solve 1)0(,2

3 =+=′ yy

xy . Find y(0.6) taking

h = 0.2 and h = 0.1. Find the actual error at x = 0.6 if the exact solution is y = −6x − 12.

(20)

TUTOR MARKED ASSIGNMENT ET 201 (Part A)

MECHANICS OF FLUIDS

Note : All questions are compulsory and carry equal marks. This assignment is based on all Blocks of Mechanics of Fluids.


Course Code : ET-201A Last Date of Submission : July 31, 2014

BTWRE

Q.1 (a) Explain Newton’s law of viscosity. Differentiate between Newtonian and Non

Newtonian fluids.

(b) A rectangular block of base area 500 cm2 and mass 5 kg is sliding down a plane inclined at 10o to the horizontal. The gap between the block and the plane is 1 mm thick, and the viscosity of oil filled in between the gap is 0.125 Pa.s. Estimate the steady state (terminal) velocity of the block.

(c) An open drum contains water 1.5 m deep. It is resting on an elevator. Calculate the gauge pressure at the bottom of the drum when the elevator is

(i) stationary,

(ii) accelerating upwards at the rate of 3 ms– 2, and

(iii) accelerating downwards at the rate of 3 ms– 2.

(d) For the flows represented by the following stream functions, determine the velocity components u and v.

(i) ψ = xy, (ii) ψ = log r, (iii) ψ = 9 r2 . sin2 θ

(e) If for a two-dimensional potential flow, the velocity potential is given by the expression

φ = −(2 1)x y

(i) determine the velocity at the point P (4, 5), and

(ii) what is the value of the stream function ψ at the point P?

Q.2 (a) A pump discharges 2 m3/sec of water through a pipeline. If the pressure difference between the inlet and the outlet of the pump is equivalent to 10 m of water, what power is being transmitted to the water from the pump?

(b) A paratrooper and parachute together weigh 1 kN. Estimate its rate of descent if the parachute diameter is 7 m and the drag coefficient is assumed to be 1.2. Given that the density of air is 1.22 kg/m3.

(c) Glycerine of density 1250 kg/m3 and viscosity 0.72 kg/ms flows through a pipe of 80 mm diameter. If the shear stress at the wall is 300 N/m2, calculate the

(i) pressure gradient along the flow,

(ii) average velocity in the pipe,

(iii) rate of discharge, and

(iv) Reynolds number of the flow.

(d) A lead sphere of 1.0 mm diameter acquired a terminal velocity of 7 mm/sec, in an oil, while falling down. Assuming that the density of lead is 11000 kg/m3, and that of the oil is 1200 kg/m3, compute :

(i) the Reynolds number, and

(ii) the kinematic viscosity of the oil.

(e) A single pipe 30 cm diameter, 300 m long conveys a discharge of 0.1 m3/sec. What length of another 40 cm diameter pipe is required to be placed in parallel with the existing pipe in order to augment the discharge by 30%?

Take f for each pipe = 0.015 and neglect the minor losses.

Q.3 (a) A power-transmission pipeline, 30 cm diameter, 500 m long, operates between a reservoir maintained at 60 m head and a Pelton-turbine nozzle. Assuming f = 0.03, calculate

(i) the maximum power which can be transmitted, and

(ii) the nozzle diameter to do so.

(b) A 20 cm diameter pipe 200 m long discharges oil from a tank into atmosphere. At the midpoint of the pipe length, the pressure is one-and-a-half times the atmospheric pressure. The specific gravity of the oil is 0.9 and viscosity 0.02 N s/m2. Calculate

(i) the discharge of oil, and

(ii) the pressure in the tank at the inlet of the pipe.

(c) With neat sketches explain the development of a boundary layer along a thin flat smooth plate held parallel to a uniform flow and explain the salient features.

(d) What are the causes of separation of boundary layers and how can separation be controlled?

(e) Determine the form of the Mach number, M, if it is known to depend upon the pressure p,

density ρ, specific heat ratio γ and velocity U of a fluid in a situation.

Q.4 (a) Determine the head loss in a 1000 mm diameter revetted steel pipe (K = 2.0 mm) if it has to carry 3.5 m3/sec of water discharge over one kilometer reach. Also, determine the power required for transmission.

(b) A 150 mm diameter pipeline is connected to 100 mm diameter. If the pipeline carries a discharge 40 litres/sec of water, determine the pressure difference (p1 – p2) across the contraction if the two sections are having an elevation difference 0.30 m, section 2 being higher in elevation.

(c) Air flows over a 1.0 m wide and 0.60 m long flat plate at a velocity of 8.0 m/sec. If the

kinematic viscosity of air is 1.44 × 10– 5 m2/sec, determine

(i) δ at the end of the plate,

(ii) shear stress at 0.30 m from the leading edge of the plate, and

(iii) total drag force on both sides of the plate.

Take ρ = 1.208 kg/m3.

(d) For laminar flow through 75 mm diameter pipe, the wall shear stress is 50 N/m2 at a discharge of 7.5 litres/sec of oil of mass density 900 kg/m3. Determine the viscosity of oil and check the Reynolds number of flow.

(e) 30 litres/sec of castor oil are to be transported over 1000 m at a permissible energy gradient of 0.02. If oil temperature is 20oC, determine the diameter of the pipe. Also determine the power required and Reynolds number of flow.

Take µ = 0.98 kg/m. s. and ρ = 960 kg/m3

Q.1 (a) Explain the concept of pressure and internal energy from the macroscopic point of view?

(b) Define the term system, boundary, surroundings and universe.

(c) Discuss briefly about: closed system , open system and isolated system.

(d) Define state, property and process.

(e) What are the various forms of stored energy?

(10)

Q.2 (a) Define temperature. List some material properties used for measurement of temperature.

(b) Differentiate between absolute and gauge pressures.

(c) Explain how pressure can be expressed in terms of head of a fluid.

(d) Explain the difference between a point function and a path function. (10)

Q.3 (a) A system executes a cycle process during which there are four heat transfers as given:-

Q1-2 = 220kcal, Q2-3 = -25kcal, Q3-4 = -180kcal, and Q4-1 = 50kcal. The work done during three of the processes are given as:-

W1-2 = 15kcal, W2-3 = -10kcal, W3-4 = 20kcal Find the work done during the process (4-1).

(b) Define internal energy and prove that it is a property of the system.

(5 + 5)

Q.4 (a) A reversible engine of 40% efficiency discharge 362 kcal of heat per minute at 27°C to a point. Find the temperature of the source which supplies the heat to the engine and the HP developed by the engine.

(b) Show that no heat engine working between the fixed temperatures can have an efficiency greater than that of a reversible engine working between the same temperature.

(5+5)

Q.5 (a) A vapour condenses at 960°K rejecting 1000 kcal of heat while another vapour rejects 1000

kcal of heat at 660° K. The lowest temperature of the surrounding is 300° k. Find the difference in the available energy between the two systems.

(b) A spherical vessel of 1.5m in diameter containing air at 40° C is evacuated till the vacuum inside the vessel is 73.5 cm of Hg, the temperature remaining constant. (a) Find the mass


ET 201 B

ENGINEERING THERMODYNAMICS

Note : All questions are compulsory and carry equal marks. This assignment is based on all

Blocks of Engineering Thermodynamics.


Course Code : ET 201 B Last Date of Submission : Sept. 30, 2014

BTCM

pumped out, (b) if the tank is then cooled at 3° C, What is the pressure in the tank in cm of Hg. Take atmospheric pressure = 76 cm of Hg.

(5+5)

Q.6 (a) Describe various energy resources. What are the characteristics of energy resources?

(b) What do you understand by combustion efficiency? Describe the steps for improving combustion efficiency.

(5+5)

Q.7 A air compressor has 20cm bore and 15 cm stroke and 6% clearance. The machine operates

between 100 kpa, 27° C and 500 kpa. The polytropic exponent is 1.25.

(i) Sketch the idealized indicator diagram, and find cylinder volume at each corner of the diagram, mass flow of air, flow capacity in m3 /min at 720 rpm.

(ii) Find the ideal volumetric efficiency

(iii) What is the mean effective pressure?

(iv) Find the heat transferred as a fraction of the indicated work.

(10)

Q.8 Describe reversible constant pressure process, reversible constant volume pressure and reversible polytropic process. Derive the expression for work done for each process.

(10)

Q.9 (a) What are the limitations of using compressibility charts for all ranges of temperatures and pressures?

(b) An organic gas expands adiabatically through a turbine at a rate of 0.35 kg/s from 10 mpa,

27° C to 2 mpa, -45° C. Kinetic energy changes are negible. Determine the turbine power out put and the change in entropy of the organic gas during expansion.

(5+5)

Q.10 (a) Describe various stages of water with the help of T-h and P-V diagram.

(b) What is the latent heat of vaporization of water at a pressure of 15 bar? How much work is done by 1.5 kg water as it is evaporated at 11.5 bar pressure? What is the internal energy of

saturated water vapour at 125° C.

(5+5)

4 m 4 m

4 kN/m

A B


ET 202 (Part A)

ENGINEERING MECHANICS

Note : All questions are compulsory and carry equal marks. This assignment is based on all Blocks of Engineering Mechanics.



BTCM

Q.1 (a) Two forces of 10 kg and 15 kg act simultaneously at a point. Find the resultant force, if the angle between the two forces be (i) 30o, (ii) 45o, (iii) 60o, (iv) 90o, and (v) 180o. Draw the force diagram for each situation.

(b) Find the angle between two equal force P, when their resultant is equal to (i) P, (ii) P/2, (iii)

2P, (iv) 3P, and (v) √2 P. Draw the force diagram for each case.

Q.2 (a) A particle is acted upon by three forces equal to 5 kg, 10 kg and 13 kg, along the sides of an equilateral triangle taken in order. Find graphically the magnitude and direction of the resultant force. Find the magnitude and direction of the resultant force if forces are acting along the sides of right angle triangle when one of the angle is 45o.

(b) Four forces of 2, 2.5, 1, and 3 kg are acting simultaneously along straight lines OA, OB, OC

and OD, such that ∠ OAB = 40o, ∠ BOC = 100o and ∠ COD = 125o. Find graphically the magnitude and direction of the resultant force.

Q.3 A body weighing 10 kg, is suspended by two strings AC and BC at the point C. The lengths of the strings AC and BC are 3 metres and 4 metres respectively and the horizontal distance BC is also 4 metres. Find the tensions in the strings AC and BC.

Q.4 (a) Consider a simply supported beam subjected to a uniformly distributed load on the left half of the span as shown in figure.

Figure

Determine SF and BM diagrams for the beam and find the location of the magnitude of maximum BM.

3 m

3 m

A

B

C

D

E

150 kN

6 m 6 m

A O X

B

α

VO

4.8 m 3.6 m

3.6 m

(b) Find the forces in all the members of the truss shown in figure :

Figure

Q.5 (a) A fly wheel of weight 200 N and diameter 20 cm is made to rotate at 10 rotation per second. Determine the K.E. of the wheel. If the frictional couple at its bearing is 10 Nm, determine the number of revolution it will make before coming to rest. If the frictional couple at bearing is double, determine the numbers of revolutions it will make before coming to rest.

(b) A mass of 4 kg moving with a velocity of 10 m/sec along x direction follows another mass of 10 kg moving with 5 m/sec in the same direction. Determine the final velocities of the two masses (i) if e = 0.6. (ii) if the impact is fully plastic, determine also the loss in KE. (iii) the impact is perfectly elastic, determine the final velocities of the two bodies.

Q.6 A metal rod A of 25 cm length expands by 0.05 cm when its temperature is raised from 0oC to 100oC. Another rod B of a different metal of length 40 cm expands by 0.04 cm for the same rise in temperature. A third rod C of 50 cm length, made up of pieces of rod A and B placed end to end, expands by 0.03 cm on heating from 0oC to 50oC. Find the lengths of each portion of the composite rod C.

Q.7 A boy throws a ball so that it may just clean a wall 3.6 m high. The boy is at a distance of 4.8 m from the wall. The ball was found to hit the ground at a distance of 3.6 m on the other side of the wall as shown in figure below. Find the least velocity with which the ball can be thrown.

Figure

Q.8 A shell of weight 7 kN is fired horizontally from a gun weighing 400 kN, with a velocity of 450 m/sec. With what velocity will the gun recoil? What will be the average force of resistance to bring it to rest in a distance of 2 meters?

C

A B

12 cm

4 cm

4 cm 4 cm

φ 2 cm

Hole

P

A

30o

Q.9 Locate the centroid for plane section shown below and determine the moment of inertia about AB.

Figure

Q.10 Calculate the force required, P, to cause a block of weight W1 to slide under the another block of

weight W2. What will be the tension in the string AB. W1 = 2000 N, W2 = 1000 N, µ = 0.3.

Figure

W1

W2

~ ~

j 50 j 50 VA

I1 I2

100

+ +

100 ∠ 0 100 ∠ − 60


ET 202 (Part B)

PRINCIPLES OF ELECTRICAL SCIENCES

Note : All questions are compulsory. Marks assigned to the questions have been shown in brackets. This assignment is based on all Blocks of Principles of Electrical Sciences.



BTCM

Q.1 (a) Define the terms (i) Electric Current and Voltage

(ii) Electrical Power

(iii) Resistor and Capacitor

(iv) State KVL and KCL

(v) Difference between DC and AC source

(b) (i) Calculate currents I1 and I2 from two sources.

Figure 1

(ii) When two 2-terminal networks are said to be equivalent? What is the significance of equivalent circuits?

(5 + 5 = 10)

Q.2 (a) State and explain

(i) Thevenin’s theorem

(ii) Maximum power theorem

(i) Norton’s theorem

4 Ω

5 Ω 5 Ω

2 Ω

5 Ω

2 Ω

2 Ω

5 Ω

12 Ω

B

A C

Feeder Transformer

(120 + j 400) Ω (40 + j 150) Ω IL = 5.21 A, 0.8 pf

Loading

Load

D

F

E

(b) In the network shown in the figure, find the resistance between the points A and B.

Figure 2

(5 + 5 =10)

Q.3 (a) Explain with an example importance of a system.

Explain the phenomenon of resonance in parallel RLC circuit and derive expression for resonant frequency.

(b) A single phase load is fed through a 66 KV feeder whose impedance is 120 + j 400 Ω and a

66/6.6 KV transformer of equivalent impedance (referred to LV) 0.4 + j 1.5 Ω. The load is 250 Kw at 0.8 leading power factor and 6KV? Compute the voltage at the sending end of the feeder, compute the voltage at the primary terminals of the transformer and complex power input at the single end of the feeder (given in Figure 3).

Figure 3

(5 + 5 = 10)

Q.4 (a) Explain the working of :

(i) PMMC

(ii) Difference between Analog and digital instruments

(iii) Moving iron instruments

(iv) Electrodynamic instruments

(v) Induction type energymeter

(b) Differentiate between synchronous motor and induction motor.

(10 + 5 = 15)

Q.5 (a) A 1000 KVA, 6.6 KV, 3 phase star connected synchronous generator has a synchronous

reactance of 25 Ω per phase. It supplies full load current at 0.8 lagging pf and rated terminal voltage. Compute the terminal voltage for the same exhaustion when the generator supplies full-load current at 0.8 leading pf.

V V1 60 kV

20 K Ω

10 K Ω

Rf

2 V If

+ 15 V

− 15 V

Ri

V0 1 V

−+

30 V

270 K Ω 2 K Ω

V0

Vi 30 K Ω

K = 10 mA/V2

VT = 2 V

+

+

–

(b) (i) Explain the speed-torque characteristics of

(a) A dc series motor

(b) A dc shunt motor

(ii) A dc motor drives a 100 KW generator having an efficiency of 87%.

(a) What should be the KW rating of the motor?

(b) If the overall efficiency of the motor generator set is 74%, what is the efficiency of the motor?

(5 + 5 = 10)

Q.6 (a) An amplifier circuit has an input current of 20 µA flowing though 10 kΩ and an output current

of 150 mA flowing though 5 kΩ. What is its voltage gain?

(b) Using the op-amp circuit in the figure, calculate the output voltage of the amplifier.

Figure

(5 + 5 = 10)

Q.7 (a) (i) Explain different types of logical/Digital gates with examples.

(ii) Explain the differential amplifier. Also state the applications for the same.

(iii) For the enhancement type of MOSFET shown in figure, determine ID and VDS.

Figure

(iv) Design an inverting amplifier of gain 20.

(b) Explain

(i) Integrator and differentiator

(ii) Voltage regulators and current boosters

(iii) Precision rectifier

(iv) Phase shift oscillator

(v) Types of multivibrators.

Design a function generator circuit for a frequency of oscillation of 1 kHz.

(10 + 10 = 20)

Q.8 (a) (i) What is ROM and RAM ?

(ii) Write different applications of operational amplifier.

(b) (i) Draw a circuit diagram and explain the working of ADC and DAC.

(ii) Write notes :

(a) Stack

(b) Register

(c) Counter

(10 + 5 = 15)


ET 502 (Part A)

STRENGTH OF MATERIALS

Note : All questions are compulsory and carry equal marks. This assignment is based on all Blocks of Strength of Materials.



BTWRE

Q.1 (a) A rectangular block of a material is subjected to a tensile stress system as shown in Figure 1, as well as shear stresses. Find the (i) Magnitude and direction and nature of principal stresses, (ii) Magnitude, and direction of the greatest and least shear stress.

Figure 1 : Quantities in kN/mm2

(b) With reference to Figure 2 find the position of c.g. of the given T-section.

Figure 2

400

400

1000 1000

600

600

150 mm

115 mm

10.0 mm

10.0 mm

Q.2 (a) Show that the ratio, in terms of Poisson’s ratio (υ), of the change of volume of a thin cylindrical shell to that of a thin spherical shell, having the same internal pressure, diameter,

thickness and volume is equal to

ν−ν−)1(3

45.

(b) Show that for a beam of triangular cross section, the ratio of maximum intensity of shear stress to the shear stress at the N – A is 9:8.

(c) A thin cylindrical vessel 2m in diameter and 4m in length contains a particular gas at a pressure of 1.5 N/mm2. If the permissible tensile stress of the material of the shell is 135 N/mm2 , find the minimum thickness required for the vessel.

Q.3 (a) The frame as shown in Figure 3 carries the given loads as indicated. Find the reactions at A and B; and the force developed in all the members by :

(i) method of joints

(ii) method of sections

(iii) graphical construction.

Also, indicate the nature of these forces.

Figure 3 : Simply Supported

(b) In the truss shown in Figure 4, find the reactions, and the magnitude as well as nature of the force developed in all the members by all the three methods as in 3(a) above.

Figure 4 : Simply Supported

15 m

30o 60

o

A B

4000 kg

3000 kg

4 m 4 m 4 m

2 t 3 t

3 t

F

E

B A

G

C D 30

o 30

o

5 t 7 t

Q.4 (a) For the given beam (Figure 5) draw the S.F. and BM, and thrust diagrams.

Figure 5

(b) Prove that for a beam of circular cross-section, the ratio of maximum shear stress to the average shear stress = 4/3.

(c) A circular beam of 200 mm diameter is subjected to a shear force of 25 kN. Find the value of maximum shear stress and of average shear stress.

Q.5 (a) A solid shaft is to transmit a power of 500 kw at 100 rpm. If the shear stress is not to exceed 70 N/mm2, in weight would be obtained if this shaft were replaced by a hollow one whose

internal diameters is 0.8 × external diameter – the length, material, and maximum shear stress being the same.

(b) A steel shaft of 300 mm diameter and 10.0 m long is fixed at its ends. Torques of 35 kN-m (clockwise) and 45 kN-m (anticlockwise) are applied at 4.5m and 5.5m, respectively form its left end. Plot the variation of torque, surface shear stress, and angle for twist along the shaft length. Take C = 85 MPa.

Q.6 (a) A compressed gas cylinder has an internal diameter of 1500 mm, and the walls are 20mm thick. The efficiency of the longitudinal and circumferential joints are 75% and 60%, respectively. The maximum allowable tensile stress for the material of the cylinder is 1000 N/mm2. Find the allowable pressure of the gas.

(b) Prove that for a beam of triangular cross-section, the maximum shear stress can be expressed as 3 F/(bh), where h = height of the triangle, b = base of the triangle.

(c) A beam of triangular cross-section of base width = 150 mm and a height of 75mm is subjected to a shear force of 3.5 kN. Find the maximum shear stress, and the shear stress at the N.A.

4.25 m 2 m 0.5 m 3 m

45o 60

o

2 kN/m sum

6 kN

6 kN

8 kN

Q.7 (a) A beam (Figure 6) carries a uniformly distributed load w kN/m over its central span of 2/3l, and a uniformly varying load for the rest of the span as shown. Draw S.F. and B.M diagrams for the beam.

Figure 6

(b) A compound bar is made partly of Aluminum (B-portion), and partly of steel (A-portion) as shown in Figure 7. Calculate the magnitude of the axial compressive force (p) that will cause a total contraction of 0.25mm in the bar. Assume the bar is prevented from buckling. Take

4 4 220 10 7 102N/mm ; and N/mm .s ALE E= × = ×

Figure 7

l/6 l/6

2/3 l

u.d.l. w kN/m sum

300 mm

45 mm dia.

600 mm

105 mm dia.

B

A

P

P

Q.8 (a) Two similar round bars A and B (Figure 8), both receive an axial blow, which produces a maximum stress of 2000 kN/mm2. Determine the ratio of stress energy stored in the bars B and A.

Figure 8

(b) Find the centroid of the plane Figure ABDFGEC (Figure 9).

Figure 9

Q.9 (a) Using Castigliano’s theorem, determine the deflection of the quarter points and the center of the beam (Figure 10). Assume uniform flexural rigidly (EI) throughout the beam.

Figure 10

(b) Using Castigliano’s theorem, find the deflection of the center, and quarter points of the beam (Figure 11) for the given loading.

Figure 11

150 mm

250 mm

20 mm

40 mm

275 mm

125 mm

20 mm

40 mm

A B

A

l

W/m sum

l/3

W/m sum

l/3 l/3

B C D E a F G

AB = AC = 4.5 m a = 30 cm x = 1.75 m

x X

1 m

Q.10 (a) A straight bar has a circular section, whose radius varies linearly from 50 mm at one end A to 25 mm at the other and B. The bar is 1.7m long and is fixed rigidly at A, but longitudinal movement is possible at B against a spring, which opposes this movement with a constant stiffeners of 20 kN/mm. Initially there is no longitudinal stress in the bar. Determine the change in the bar length if the temperature of the bar (i) fans by 800 k, and (ii) rises by 500 k,

Take E = 69 GN/m2, and α = 23 × 10-6 k-1.

(b) A water tank suspended from the top is made of a right circular cone of height 1.75 m with its base diameter = 1.3 m.

Find the maximum stresses in the tank, when it is : (i) 1/2, (ii) 3/4th, and (iii) full filled with water. Thickness of the tank material = 12 mm.


ET 502 (Part B)

STRUCTURAL ANALYSIS

Note : All questions are compulsory and carry equal marks. This assignment is based on all Blocks of Structural Analysis.



BTWRE

Q.1 Draw influence line diagrams for moment at E, reaction at D and shear at C in Figure 1.

Figure 1

Q.2 Figure 2 shows a frame hinged at base. Calculate the end reactions and draw the B.M. diagram. EI is constant.

Figure 2

B E D C A

1 m 1 m 1 m 1 m

C

RD

H

E

D

B

A

w

RE

H

5 m 10 m

15 m

10 m

Q.3 Figure 3(a) shows a fixed beam with a point load. Calculate the support reactions with the help of Castigilano’s II theorem. The beam can be supposed to be simply supported with proper support reactions as shown in Figure 3(b).

(a) (b)

Figure 3

Q.4 A rigid frame shown in Figure 4 is fixed at A and D and is hinged at C. The moment of inertia of all the members is the same. Calculate the support moments and draw the B.M. and S.F. diagrams and sketch the deflected structure.

Figure 4

Q.5 Figure 5 shows a portal frame. Find the reactions at the supports A and D. Draw BMD

Figure 5

10 kN

B A

10 m

2.5 m mmm

7.5 m

B A

10 m

2.5 m 7.5 m

RA RB

10 kN

MA MB

1 kN/m

I

2 I

20 m

15 m

I

A

B C

D

A C

55 m

D

B

1 kN/m 5 kN

15 m

10 m 15 m

Q.6 A three-hinged symmetrical parabolic arch has a span of 90 m and a central rise of 15 m. It carries two 100 kN loads at 15 m and 30 m from left hand support and a udl of 3 kN/m over the right half of the span. Draw the bending moment diagram and calculate the bending moment, normal thrust and radial shear at a point 30 m from the right hand support.

Q.7 Analyse the portal frame ABCD loaded as shown in Figure 6. The members are made with same material, length and moment of inertia of each member are mentioned in Figure.

Figure 6

Q.8 Analyse the prismatic beam shown in Figure 7 using three-moment theorem and draw the

bending moment diagram. The support B sinks by 5 mm. Take EI = 36 × 103 kN/m2 as constant for the beam.

Figure 7

Q.9 Analyze the plane frame shown in Figure 8 using symmetry concept (EI = Constant).

Figure 8

D

B

A

4 I

4 I 11.12 kN

10 m

10 m

C

I 5 m

A

2 kN/m

C

B

20 kN

1 m 1 m 1 m 1 m

A D

C B

2 m

5 m

100 kN

2 m

5 kN/m

Q.10 (a) Determine the ultimate load W for the frame shown in the Figure 9. The ultimate moment capacities for AB, BC and CD are 2 Mpa, 4Mpa and 3 Mpa respectively.

Figure 9

(b) Find the collapse load factor in terms of Mp for the frame shown in Figure 10.

Figure 10

20 kN

4 m MP

2 MP

A D

C

B

3 m 3 m

MP

50 kN

4 W

W

2 m

3 m

4 MP

D

2 MP

8 m

4 m

C

3 MP

B

6 m

A


ET 505

TRANSPORTATION AND TRAFFIC ENGINEERING

Note : All questions are compulsory and carry equal marks. This assignment is based on all Blocks of Transportation and Traffic Engineering.


Course Code : ET 505 Last Date of Submission : July 31, 2014

BTCM

Q.1 Study the current 5-year plan of the country; and summarise the projected targets and till date achievements of Indian Transport Planning – rail, road, air and water-borne. (10)

Q.2 (a) Draw, on full-size drawing sheet, the following standard cross-sections :

(i) National highway, in part filling and part cutting,

(ii) Broad gauge railway track in cutting, and

(ii) 60-m long highway bridge – also draw its L-section. (5+5=10)

(b) Give the plant, longitudinal and cross-sections of a canal lock catering to boat/steamer traffic.

Q.3 Explain fully the following :

(i) Growth Factor Method, and

(ii) Synthetic Method with reference to Trip Distribution. (5+5=10)

Q.4 Write a detailed note on the selection of site, and design of a modern medium-sized dock to cater to the export and import of goods. Give sketches.

(10)

Q.5 (a) What is skidding on pavements? Discuss the factors that influence skidding on roads.

(b) Design a dowel bar system for the following conditions :

(i) Design wheel load = 50 kN,

(ii) Design load transfer, 45%,

(iii) Slab thickness = 25 cm,

(iv) Joint width = 2 cm,

(v) Permissible flexural stress in dowel bar = 140 MN/m2,

(vi) Permissible shear stress in dowel bar = 100 MN/m2,

(vii) Permissible bearing stress in dowel bar = 10 MN/m2,

(viii) K for subgrade = 70 MN/m3,

(ix) E = 3 × 104 MN/m2, and

(x) µ = 0.15. (5+5=10)

Q.6 Define the various engineering properties of soil. Explain how these are determined, and what is their significance in traffic engineering. Give isometric sketches of the equipment used in their determination.

(10)

Q.7 (a) Give the measures adopted for the prevention of accidents.

(b) A fixed-time two-phase signal is to be provided at an intersection of roads, having 4 arms. The necessary data is given as under :

North South East West

Design hour flow (q)

825 460 850 650

Saturation flow (s)

2250 1890 3100 2800

Allocating the green times to the two phases, and assuming any other data, calculate the optimum cycle time.

(5+5=10)

Q.8 (a) Determine the length of a summit curve at a junction of two road gradients of 2.45% and (–) 1.5% – take stopping sight distance as 125 m, and overtaking sight distance as 335 m.

(b) Describe two methods of calculating and laying out a curve on a road alignment.

(5+5=10)

Q.9 Discuss in depth various soil stabilisation methods. Give detailed procedures, and point out suitability advantages and disadvantages (if any) of each.

(10)

Q.10 (a) Study the relevant literature, and discuss the features of Metro transport system as introduced in Delhi recently.

(b) Give plan, elevations of a typical multi-flyover facility on a road that caters to 4 directions from which traffic needs to be directed.

(5+5=10)

Q.1 (a) What do you mean by mass curve? Explain the procedure of determining Reservoir Capacity from a Mass Curve

(b) Describe the adverse impact of dams and reservoirs on environment.

Q.2 (a) Explain the various factors required to be considered in the selection of a dam site.

(b) Describe the Classification of dam according to their Hydraulic Design.

Q.3 (a) Describe briefly the foundation treatment for a rock fill dam.

(b) Explain the functions and purpose of a drainage gallery.

Q.4 What do you mean by arbitrary profile of a Gravity dam? Considering the effect of hydrostatic pressure and uplift pressure, show that the base width (b) of the arbitrary profile of the gravity dam can be expresses as

1

hb

s c=

−

when the resultant passes through the outer third point

Q.5 (a) Explain the various causes of failures in earth dams.

(b) Discuss in detail as to how you will test the stability of an earth dam constructed with C − φ soils.

Q.6 (a) Draw a typical layout of canal head works including river training works. Explain its various components.

(b) Discuss the advantages and disadvantages of locating head works in a boulder or a trough stage.

Q.7 (a) What is a divide wall? Explain the functions of a divide wall.

(b) Explain Khosla’s theory for design of weir floors on permeable foundations.

Q.8 (a) Describe the advantages and disadvantages of Siphon Spillway.


ET 536 A

HYDRAULIC STRUCTURE-I

Note : All questions are compulsory and carry equal marks. This assignment is based on all

Blocks of Hydraulic Structure-I.


Course Code : ET 536 A Last Date of Submission : July 31, 2014

BTWRE

(b) Starting from the basic principles, show that

221

1

1(8 1) 1

2

dF

d = + −

where d1 and d2 are the depths of flow before and after jump foundation.

Q.9 Write short notes on the following :

(i) Multipurpose reservoir

(ii) Exit gradient

(iii) Consolidation of earth dams

(iv) Stilling basin

Q.10 Differentiate between the following :

(i) Diversion and Storage Dams

(ii) Weirs and Barages

(iii) Entrance and Exit channels of spillways

(iv) A flood control reservoir and A multi-purpose reservoir


ET 102

MATHEMATICS - III

Note : All questions are compulsory and carry equal marks. This assignment is based on all Blocks of Mathematics III.


Course Code : ET-102 Last Date of Submission : July 31, 2007

BTCM/BTWRE

Q.1 (a) Is the following series convergent or divergent?

( ) ( ) ( ) .............75100

!2

1751001

!

75100 2

0

+++++=+

∑∞

=

iin

i

n

n

(b) Are the following series convergent or divergent?

(i) ∑∞

= 1

1

n n (ii)

( )( )∑

∞

= 1

2

!2

!

n n

n

(c) Test the convegence of the series

(i) .........5.4.3

5

4.3.2

3

3.2.1

1+++

(ii) ( )∑ −+ nn3 3 1

(d) Expand ,sin)( xxxf = π<< 20 x as a Fourier Series.

(e) Obtain the Fourier’s Series for the function

ππ <<−= xxxf ,)( 2

Hence show that 6

.............4

1

3

1

2

1

1

1 2

2222

π=++++

(5 × 5 = 25)

Q.2 (a) (i) If ( )ivuiyx +=+ cosh , show that 1sinhcosh 2

2

2

2

=+u

y

u

x.

(ii) If α=α+α=φ+ iei sincos)iθ(tan , prove that ,42

θπ

+π

=n

and

α+

π=φ

24tanlog

2

1.

(b) (i) Is 3)( zzf = analytic?

(ii) Find the linear fractional transformation that maps the point

2,0,2 321 ==−= zzz onto the points 4

3,,

321

21==∞= www respectively.

(c) (i) Integrate zzzg tan)1()( 12 −−= around the circle 2

3: =zC (Counterclockwise).

(ii) if ivuzf +=)( is an analytic function, find )(zf , if )sin(cos yyevu x −=− .

(d) (i) Find the bilinear transformation which maps the point 1,,1 −= iz into the points

.,0, iiw −=

(i) Prove that ( ) 0=−∫ dzazc

n (n is an integer ≠) where C is the circle .raz =−

(e) (i) Expand 23

12 +− zz

in the region .110 <−< z

(ii) Evaluate ( )∫ −c

dzzz2

, where C is the upper half of the circle .1=z

(5 × 5 = 25)

Q.3 (a) (i) A rocket is shot straight up. During the initial stages of flight it has acceleration 7t meters/sec2. The engine cuts at t = 10 sec. How high will the rocket go? (Neglect air resistance).What do you mean by requisition? How will you resolve the problem of pending requisition?

(ii) Solve 0)3()3( 3223 =+++ dyyyxdxxyx .

(bi) Solve (i) xydx

ydsec

2

2

=+

(ii) xydx

yd2tan4

2

2

=+ .

(c) Solve (i) )()()( 222222

yxz

dz

xzy

dy

zyx

dx

−=

−=

−

(ii) .22222

xz

dz

xy

dy

zyx

dx==

−−

(d) (i) An insulated rod of length l has its ends A and B maintained at 00C and 1000C respectively until steady state conditions prevail. If B is suddenly reduced to 00C and maintained at 00C, find the temperature at a distance x from A at time t.

(ii) Find also the temperature if the change consists of raising the temperature of A to 200C and reducing that of B to 800C.

(e) Solve (i) .1

10222

22

3

33

+=++x

xydx

ydx

dx

ydx

(ii) xxeydx

dy

dx

yd x sin22

2

=+−

(5 × 5 = 25)

Q.4 (a) Find the Laplace transform of

).4sin34(cos3 tte t +−

(b) Find the inverse Laplace transform of

.4 44

as

s

+

(c) Apply convolution theorem to evaluate

(i) ( )

+−

222

1

as

sL (ii) ( )( )

++−

2222

21

bsas

sL .

(d) Solve the simultaneous equations:

txdt

dyey

dt

dx t sin, =+=− given x(0) = 1, y(0) = 0.

(e) Apply the Hwrwitz-Routh Criterian to determine the stability of the systems whose characteristics equations are given by :

(i) 01025 34 =+++ sss

(ii) 01011422 2345 =−−++− sssss

(5 × 5 = 25)

TUTOR MARKED ASSIGNMENTignou.ac.in/userfiles/BTCM-BTWRE Third Year(1).pdf · TUTOR MARKED ASSIGNMENT ... What is the function of a silt ejector and where is it located? ... Q.7 (a)

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