R13
Code: 13A01401
B.Tech II Year II Semester (R13) Supplementary Examinations December/January 2015/2016
STRENGTH OF MATERIALS – II
(Civil Engineering)
Time: 3 hours
Max. Marks: 70
PART – A
(Compulsory Question)
1
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
*****
Answer the following: (10 X 02 = 20 Marks)
Define principal plane and principle stresses.
State maximum strain energy theory.
A cast iron pipe of 750 mm diameter is used to carry water under a head of 60 m. Determine the
thickness of the pipe if the permissible stress is to be 20 MPa.
What are the assumptions made in Lame’ theory?
Define torsional moment of resistance.
Define stiffness of spring and mention types of springs.
What are the limitations of Euler’ formula?
Define slenderness ratio of column. What is its importance?
Mention the assumptions made in unsymmetrical bending.
What is meant by shear centre?
PART – B
(Answer all five units, 5 X 10 = 50 Marks)
UNIT – I
2
3
The stresses on two perpendicular planes through a point in a body are 160 MPa and 100 MPa, both
compressive along with shear stress of 80 MPa. Determine: (i) The normal and shear stress on plane
inclined 300 to the plane of 160 MPa stress and also resultant stress and its direction. (ii) The normal
stress on a plane at 900 to the inclined plane in (i).
OR
Principal stresses at a point in an elastic material are 100 MPa tensile, 50 MPa tensile and 25 MPa
compressive. Determine the factor of safety against failure based on various theories. The elastic limit in
simple tension is 220 MPa and poison’s ratio 0.3.
UNIT – II
4
5
A closed–end copper tube of 72 mm internal diameter, 800 mm long and 2 mm thick is filled with water
under pressure. Find the change in pressure if additional volume of 4000 mm3 of water is pumped into
the tube. Neglect any distortion of the end plates. Take E = 102 MPa, K = 2200 MPa and poison’s ratio
0.3.
OR
A steel tube of 120 mm external diameter is shrunk on another steel tube of 48 mm internal diameter.
After shrinking the diameter at the junction is 80 mm. Initial differences of diameters at the junction
before shrinking was 0.04 mm. Determine: (i) Radial pressure at the junction. (ii) Hoop stress developed
in the two tubes after the shrinking. Take E = 200 GPa
Contd. in page 2
Page 1 of 2
R13
Code: 13A01401
UNIT – III
6
(a)
(b)
7
(a)
(b)
Hollow shaft transmits 200 kW of power at 150 rpm. The total angle of twist in a length of 5 m of the
shaft is 30. Find the inner and outer diameters of the shaft if the permissible shear stress is 60 MPa.
Take G = 80 GPa.
An 800 mm long shaft with a diameter of 80 mm carries a flywheel weighing 4 kN at its mid way. The
shaft transmits 24 kW at a speed of 240 rpm. Determine the principal stresses and the maximum shear
stress at the ends of the vertical diameter in a plane near the flywheel.
OR
A close-coiled helical spring absorbs 72 N-m when compressed through 60 m. There are 8 coils in the
spring. The coil diameter is 10 times the wire diameter. Find the diameters of the coil and wire and the
maximum shear stress. G = 82 GPa.
The length of the largest plate of a semi-elliptical spring is 800 mm. The central load is 5.5 kN and the
central deflection is 20 mm. The allowable bending stress is 200 MPa and the width of the plates is
10 times the thickness. Determine: (i) Thickness and width of plates. (ii) Number of plates.
UNIT – IV
8
9
Derive the expression of Euler’s crippling load for column hinged at one end and fixed at the other end
OR
A tubular strut pin-jointed at both the ends has outer and inner diameters as 40 mm and 36 mm
respectively and is 2.4 m long. Compare the crippling loads given by Euler’s and Rankine’s formulae.
E = 204 GPa; yield stress = 310 MPa; a = 1/7500. If the elastic limit stress is taken as 220 MPa, find the
length below which the Euler’s formula ceases to apply.
UNIT – V
10
A beam is loaded as shown in figure 1a and figure 1b. Determine the maximum deflection and stress at
B. Take E = 210 GPa.
v
2 kN
2 kN
N
2m
2m
80 mm
u
Figure: 1a
A
60 mm
Figure: 1b
11
OR
A curved beam of uniform cross section is horizontal in plan and in the form of quadrant of a circle
radius R. The beam is fixed at A and free at B. It carries a uniformly distributed load of w/m length over
the entire length of the beam as shown below. Calculate the shear force, bending moment and twisting
moment values at A and B
*****
Page 2 of 2
R13
Code: 13A01402
B.Tech II Year II Semester (R13) Supplementary Examinations December/January 2015/2016
HYDRAULICS & HYDRAULIC MACHINERY
(Civil Engineering)
Time: 3 hours
Max. Marks: 70
PART – A
(Compulsory Question)
1
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
*****
Answer the following: (10 X 02 = 20 Marks)
State the different types of channels.
Give any one empirical formula for the Chezy’s constant.
What is the purpose of energy curves?
Write any two examples of various types of water surface profiles.
State the expression for maximum efficiency of jet striking moving curved vane at centre.
What are the different types of efficiencies in hydraulic turbines?
What is the purpose of providing a draft tube?
What is meant by priming of a pump?
State and give the formulae for any two dimensionless numbers.
Define drag and lift.
PART – B
(Answer all five units, 5 X 10 = 50 Marks)
UNIT – I
2
(a)
(b)
3
(a)
(b)
What do you understand by hydraulically efficient channel section? Derive an expression for
hydraulically efficient trapezoidal channel section
The velocity distribution in a rectangular channel of width B and depth of flow y was approximated as
v = k1√y in which k1 = a constant. Calculate the average velocity for the cross-section and correction
coefficients α and β.
OR
Derive an expression for the calculation of critical depth in a triangular channel
A rectangular channel is 4.0 m wide and has n = 0.015. Find the bed-slope required to maintain a
uniform flow in this channel with a depth of 1.25 m and a Froude number, (i) F = 2.0. (ii) F = 1.0.
(iii) F = 0.5. Also find the limit slope and the corresponding critical depth.
UNIT – II
4
(a)
(b)
5
(a)
(b)
Explain in detail the procedure followed in direct-step method to solve GVF problems.
A rectangular channel with a bottom width of 4.0 m and a bottom slope of 0.0008 has a discharge of
1.50 m3/s. In a gradually varied flow in this channel, the depth at a certain location is found to be
0.30 m. Assume n = 0.016, determine the type of GVF profile.
OR
Briefly explain about the characteristics of jump in a rectangular channel.
A spillway discharges a flood flow at a rate of 7.75 m3/s per meter width. At the downstream horizontal
apron the depth of flow was found to be 0.50 m. What tail water depth is needed to form a hydraulic
jump? If a jump is formed, find its (i) Type. (ii) Length. (iii) Head loss. (iv) Energy loss as a percentage of
the initial energy and (v) Profile.
Contd. in page 2
Page 1 of 2
R13
Code: 13A01402
UNIT – III
6
(a)
(b)
7
(a)
(b)
Show that the force exerted by a jet on a moving curved vane is greater than that on a moving flat plate.
A metal plate of 10 mm thickness and 200 mm square is hung so that it can swing freely about the
upper horizontal edge. A horizontal jet of water of 20 mm diameter impinges with its axis perpendicular
and 50 mm below the edge of the hinge, and keeps it steadily inclined at 300 to the vertical. Find the
velocity of the jet if the specific weight of the metal is 75.54 kN/m3.
OR
Show that in the case of a Pelton wheel maximum hydraulic efficiency occurs when the bucket speed is
half that of the velocity of the jet.
An inward flow reaction turbine with radial discharge with an overall efficiency of 85% is required to
develop 180 kW. The head is 10 m; peripheral velocity is 0.96√ 2gh; radial velocity of flow is 0.36 √2gh.
The wheel is to make 180 rpm. The hydraulic losses in the turbine are 25% of the available energy.
Determine: (i) The angle of the guide blade at inlet. (ii) The wheel vane angle at inlet.
UNIT – IV
8
(a)
(b)
9
(a)
(b)
With the help of a neat sketch explain the construction and working of a Kaplan turbine.
A Francis turbine working under a head of 16 m at a speed of 210 rpm develops 75 kW when the rate of
flow of water is 1.8 m3/s. The runner diameter is 1 m. If the head on this turbine is increased to 16 m,
determine its new speed, discharge and power.
OR
What is meant by cavitation in the case of centrifugal pumps? What are the effects and precautions
against cavitation? How do you calculate cavitation in centrifugal pumps?
A centrifugal pump running at 1000 rpm delivers water against a head of 14.5 m. The vanes are curved
at an angle of 300 with its periphery. If the impeller diameter at the outlet is 30 cm and outlet width is
5 cm, determine the discharge. Take the Manometric efficiency as 95%.
UNIT – V
10
(a)
(b)
11
(a)
(b)
State the Buckingham – Pi theorem and mention the advantages of dimensional analysis.
A model 1/10 of prototype of a flying boat is towed in fresh water (ρm = 1000 kg/m3). The prototype is
moving in a sea water (ρp = 1030 kg/m3) with a speed of 72 km/hr. Find the corresponding speed of the
model. Also find out the resistance due to waves on model if the wave resistance experienced by
prototype is 750 N.
OR
Explain in brief the various methods adopted to avoid boundary layer separation.
The velocity distribution in a boundary layer is given by u/U = y/δ. Find out displacement, momentum
and energy thickness.
*****
Page 2 of 2
R13
Code: 13A01403
B.Tech II Year II Semester (R13) Supplementary Examinations December/January 2015/2016
ENVIRONMENTAL SCIENCE
(Common to CE, ME, ECE and EIE)
Time: 3 hours
Max. Marks: 70
PART – A
(Compulsory Question)
1
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
*****
Answer the following: (10 X 02 = 20 Marks)
Define environment. When world’s environmental day is celebrated?
The author of the book silent spring is ---------. The book is written about ---------Define Biodiversity. Classify two hotspots of biodiversity in India.
Define Ecosystem. Estuary ecosystem mean -----------Write the unit to measure the thickness of ozone layers. In which layer, ozone layer is present?
Define acid rain. Expand BOD.
Explain sustainable development.
3Rs rule is -----------Aids day is on ------------- world’s population day is on ------.
Define value education.
PART – B
(Answer all five units, 5 X 10 = 50 Marks)
UNIT – I
2
3
Environmental studies require the basic knowledge from different subjects. Analyze multi-disciplinary
nature of environmental studies.
OR
Discuss ill effects of deforestation.
UNIT – II
4
5
Technology owes Ecology an apology. Justify your answer to support the given statement.
OR
Explain conservation of Biodiversity. List out five endemic species of India.
UNIT – III
6
7
Generate new techniques/methods to replace chemical pesticides and chemical fertilizers to prevent soil
pollution.
OR
Describe the sources, effects and controlling measures of water pollution.
UNIT – IV
8
9
Analyze how ozone layer depletion takes place.
OR
Present salient features of wildlife Act.
UNIT – V
10
11
Population growth is the major problem for all environmental problems. Narrate your answer.
OR
Write the role of IT in environmental education.
*****
R13
Code: 13A01404
B.Tech II Year II Semester (R13) Supplementary Examinations December/January 2015/2016
STRUCTURAL ANALYSIS – I
(Civil Engineering)
Time: 3 hours
Max. Marks: 70
PART – A
(Compulsory Question)
*****
Answer the following: (10 X 02 = 20 Marks)
1
(a)
(b)
Write the fixed end moments for the beam shown in below. Find MA and MB.
M
a
b
MA
MB
A
B
What the fixed end moments when the beam sinks by ‘ ’? Find MA and MB.
MA
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
MB
Why slope deflection method is called a displacement method?
What is the difference between absolute and relative stiffness?
State Castigliano’s first theorem.
State the theorem useful for application of redundant structures.
What is meant by influence line?
What do you understand by the term reversal of stresses?
Define kinematic indeterminacy of a structure.
Define degree of redundancy of a structure.
PART – B
(Answer all five units, 5 X 10 = 50 Marks)
UNIT – I
2
A fixed beam of span 10 m carries a concentrated load of 500 kN at 6 m from the left end. If the right end
7
4
2
sinks by 15 mm, determine the fixing moments at the supports. Take Ι = 3 × 10 mm , E = 200 kN/mm . Draw
BMD.
3
Analyze the beam and draw BMD and SFD.
100 kN/m
50 kN/m
OR
A
4.0 m
B
C
6.0 m
UNIT – II
4
Analyze the continuous beam shown in figure below by slope deflection method. Support ‘B’ settles by 5 mm
5
2
6
4
down ward. Take E = 2 × 10 N/mm and Ι = 36 × 10 mm .
A
C
B
2Ι
2.5Ι
3.0 m
D
2.5Ι
4.0 m
4.0 m
OR
5
A continuous beam ABCD shown in the figure below is fixed at end A and simply supported at B and C and
free at the end ‘D’. The beam carries a concentrated load ‘P’ at free end. Analyze the beam by using moment
distribution method and also draw BMD and SFD.
P
B
C
D
A
Ι
Ι
Ι
L
L
L
Contd. in page 2
Page 1 of 2
R13
Code: 13A01404
UNIT – III
6
Two straight wires AC and BC 8 mm diameter each meet at joint ‘C’ as shown in figure below. Support ‘A’
and ‘B’ (at the same level) are unyielding calculate the horizontal and vertical components of deflection of
6
2
joint ‘C’ when the vertical load of 500 kg is applied at ‘C’. Take E = 2 × 10 kg/cm . Joints may be assumed
as hinged.
B
A
30
4.0 m
C
500 kg
OR
7
Figure given below shows a plane pin-jointed truss BCDEFG of the given dimensions and carrying the
loading shown. All the members having same axial stiffness. Evaluate the forces in the truss, if FG member is
0.1% too short and the structure carries no external load.
a
a
a
E
B
C
D
a
G
F
UNIT – IV
8
A train of concentrated loads shown in figure below. The loads moves from left to right on a simply supported
girder of span 16.0 m. Determine absolute maximum bending moment.
20 kN
80 kN 40 kN
2m
60 kN
3m
2m
B
A
16.0 m
OR
9
(a)
(b)
(c)
(d)
For a simply supported beam of span ‘L’ draw:
Influence line for RA.
Influence line diagram for RB.
Influence line diagram for shear force at ‘C’.
Influence line diagram for B.M at ‘C’.
C
A
B
L
Z
UNIT – V
10
Analyze the truss shown in figure below. Assume that the cross sectional area of all members are same.
80 kN
A
B
3.0 m
D
E
C
3.0 m
3.0 m
OR
11
A pin jointed framed structure is loaded as shown in figure below. Calculate the forces in all members. Take
2
2
2
area for horizontal members as 20 cm , vertical members as 30 cm , inclined members as 50 cm and
2
E = 2000 t/cm .
D
12 t
C
3.0 m
B
A
4.0 m
*****
Page 2 of 2
R13
Code: 13A01405
B.Tech II Year II Semester (R13) Supplementary Examinations December/January 2015/2016
SURVEYING – II
(Civil Engineering)
Time: 3 hours
Max. Marks: 70
PART – A
(Compulsory Question)
*****
1
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
Answer the following: (10 X 02 = 20 Marks)
What is the procedure of levelling by foot screws?
What do you mean by the term ideal triangle?
What is contour gradient?
What is the purpose of a direct reading tacheometer?
What is a deflection angle?
Why the face left and face right observations are taken?
What is the principle of Tacheometry?
The staff readings on A and B are 1.735 and 0.965 respectively. Which point is higher?
What is the degree of a curve?
What do you mean by Triangulation?
PART – B
(Answer all five units, 5 X 10 = 50 Marks)
UNIT – I
2
Obtain an expression for the difference in level between two points by reciprocal vertical angle readings from
two stations. Heights of instruments and targets should not be ignored.
OR
Obtain an expression for the difference of level between two points A and B, a considerable distance apart, B
being higher, by vertical angle readings from the point A. Take into account the height of the instrument at A
and the height of the target at B. What is the assumption made in obtaining the equation for difference of level?
3
UNIT – II
4
Describe the conditions under which tacheometric surveying is advantageous. Explain how to obtain
tacheometric constants in the field. Up to what vertical angle may sloping distance by taken as horizontal
distance without the error exceeding 1 in 200, the staff being held vertically and the instrument having an
anallactic lens?
OR
What are errors in stadia surveying. Explain in detail.
5
UNIT – III
6
What is meant by ‘base net’? Explain how you would extend a base line.
OR
Find the sag correction for 30 m steel tape under a pull of 80 N in three equal spans of 10 m each. Mass of one
3
cubic cm of steel = 7.86 g/cm . Area of cross section of the tape = 0.10 sq.cm.
7
UNIT – IV
8
What are the common difficulties in setting out simple curves? Describe briefly the methods employed in
overcoming them.
OR
A circular curve of 1000 m radius deflects through an angle of 40⁰. This curve is to be replaced by one of
smaller radius so as to admit transition 200 m long at each end. The deviation of the new curve from the old at
their mid-point is 1 m towards the intersection point. Determine the amended radius assuming that the shift can
be calculated with sufficient accuracy on the old radius. Calculate the lengths of track to be lifted and of new
track to be laid.
9
UNIT – V
10
11
(a)
(b)
(c)
What is an Electronic Total Station? Explain briefly about Total Station with the help of a sketch
OR
Explain the applications of remote sensing in:
Resource exploration.
Environmental Information.
Study of natural hazards.
*****