Sardar Patel College of Engineering
Sardar Patel College of Engineering
Sardar Patel College of Engineering
Instructions:
1. Question 1 is compulsory. Attempt any four out of remaining six.
2. Answers to all sub questions should be grouped together.
3. Illustrate answer with neat sketches wherever required.
4. Make suitable assumptions where necessary and state them clearly.
5. Figure to right indicate full marks.
calculations for carpet area and F.S.I. for the 10 1,2 1,2
Instructions:
• Attempt any FIVE questions out of SEVEN questions.
• If there are sub questions, answers to all sub questions should be grouped
together.
• Figures to the right indicate full marks.
• Assume suitable data if necessary and state the same clearly.
Max Course Modul(
Question Marks Outcome No.
No Number
Q.1 (a) For the frame loaded as shown in figure below (14) 1
a) Find the support reactions
b) Draw AFD, SFD & BMD
100 kN
3m 3m
10 kN/m 4m
A
777r
Q.1 (b) Write the expression for strain energy stored in a member due to (06) 1 2
(i) Axial force
(ii) Bending Moment
(iii) Shear Force
(iv) Twisting Moment
Explain the terms involved in each expression
Q.2 (a) Find the slope at A and vertical deflection at B for the beam supported (10) 2
and loaded as shown in figure below. Use moment area method only.
80 liN
12 kN/m i
A 4"144/40444,4/
.. C
77777- 3 m,B3 m 3m
i< lc *
Q.2 (b) Find the slope at A and vertical deflection at B for the beam supported (10) 2 3
and loaded as shown in figure below. Use conjugate beam method only.
50 kN
12 kN/m
\/1/ v
4m 4m
Q.3 (a) Determine the vertical deflection of point D of the rigid jointed frame (08) 2 3
loaded as shown in figure below.
2 kN
2m
15 kN/
2
Q.3 (b) For the pin jointed frame loaded as shown in figure below, find the (I2) 2 3
vertical deflection of joint C.
30 kN 20 kN
4m
50 kN
Q.4 (a) A symmetrical three hinged parabolic arch of span 24 m and central rise (15) 4 5
of 4 m is subjected to a udl of 25 kN/in on the left half horizontal span
of the arch and a concentrated load of 160 kN at 8 m from the right
support.
Determine
(a) the support reactions
(b) radial shear, normal thrust and BM just to the left of 160 kN load
(c) draw BMD
Q.4 (b) (i) What are the limitations of Euler' s formula for buckling load of a (2) 5 7
column? Explain.
(ii) What are the factors on which the buckling load of a long column (3) 5 7
depends on?
Q.6 (b) The load system shown in figure below crosses a simply supported (10) 3 4
girder of span 24 m. Determine the value of absolute maximum bending
moment anywhere in the girder.
25 kN 25 kN 110 kN 110 kN
Q.7 (a) Compare the crippling loads given by Euler's and Rankine's formulae (10) 5 7
for a steel column 5.0 m long with one end fixed and the other end
hinged (pinned). The cross section of the column is a symmetrical I
section with the following dimensions.
Top and bottom Flange width = 200 mm,
Top and bottom Flange thickness = 15 mm,
Depth of web = 350 mm, Thickness of web =25 mm.
Take E = 2x105 14/mm2, fc = 350 MPa and
Rankine's constant = 1/7000.
Q.7 (b) For the pin jointed frame shown in figure below draw influence (10) 3 4
diagram for axial force in members DF, EF and EG.
2m 2m
4
13haratiyu Vitlya Ifliavan's
Sardar Patel College of Engineering
(A Government Aided Amonomous Institute)
fVliiiiNhi Nagar, Andheri ( \Vest), TVItinilmi 4100058.
END SEMESTER EXAM MAY-2018
Max. Marks: 100 Duration: 4 Hrs
Class: S.Y.13.Tech Semester: IV Program: Civil Engineering
Name of the Course: 13uilding Fksign & Drawing Course Code :13TC 231
Instructions:
1. Question no 1 is compulsory S4 attempt any four out of remaining six questions.
2. Illustrate answer with neat sketches wherever required.
3. Make suitable assumptions where necessary and state them clearly.
4. Answer the theory questions and drawing questions on sheet.
Q.7
0.)
•-soc o
-1bo ..i ....
Final Examination
May 2018
Instructions:
• Answer any 5 questions out of 7.
• Figures to the right indicate full marks.
• Assume suitable data, if necessary and state the same clearly.
Course
Max .Module
Question No Question Dun:mile
Marks No.
Number
Q. I a. Explain the phenol' ienun of alkali silica reaction and how to mitigate it. 10 I 2
b. What are different tests conducted fin- assessing the workability of 5 1 2
concrete. Explain any one test in detail,
c. For each given situation below, suggest the type of admixture to be used 5 3 2
in concrete:
1. Increase workability of concrete, without increasing the w/c ratio.
2. Change the air content trom 1% to 3% in concrete
3. Reduce capillary pores in concrete
4. Keep workability constant for 4 hours
)• IteCIUCC scum. time Or concrete trom I L flours to 6 flours
.2 a. What is High Performance Concrete? Discuss advantages of HPC over 8 3
ordinary concrete.
. List out the salient requirement of HPC.
c. Differentiate between High Performance Concrete and High strength 5 3 4
concrete.
.3 a. Explain briefly following types of cements and their use. 10
a. Ordinary Portland Cement
h. Sulphate Resistant Cement
b. What is bleeding and segregation in concrete? How can it be controlled? 5
Workability — 180 mm
Method of placement — Pump
Specific gravity of coarse aggregate — 2.68
Specific gravity of fine aggregate (Zone II) —2.62
Type of coarse aggregate — angular coarse aggregate
Admixture used with 30% water reduction capacity
Water absorption of coarse aggregate —.0.65%
Water absorption of fine aggregate — 1.8%
Total moisture content in coarse aggregate — 0.3%
Total moisture content in fine aggregate —3.0%
Consider use of 30% Fly Ash as replacement of cement
70,0 ! , . .....
E A* 31.9-38,11 ltimorre ( 326-375 Kgicrth
E
2 60.0 B•• 36.0-41_7 hikrirre (7b426 kar?)
C*41.7-4815 kimnia • (K Ar 1
a 48.8-61.8 KR swat ( 47154128 K);•tiern
E.51.64 Memmz (626-676 Kakarg'i
8 60.0 F * 66A-451;3 Isitmr•I ( S7S-626
. „ Kok..,1
,,
40.0. • ''s • :-.'..:s .
•••••,,, ••• '•-•
•,-..., ,.„-1., •-.. , -..,...,'..-,,, s,
-- ---.. -,.... -
3L1.0 • ,,_s‹".-••..
--. ' -. .._.-- ,. ,. _.
-
--. --. '-...
-......,
-
zr, 100
al ----- .
0.
(IS
CN
0 _...
0.W •:),;•.fi 0,40 0.45 0.S0 0,55 0,80 0.85
2
Bharatiya Vidya Bhavan's
Sardar Patel College of Engineering
(A Government Aided Autonomous Institute)
Munshi Nagar, Andheri (West), Mumbai — 400058.
Re- Examination, June- 2018
Q. P. Code:
Max. Marks: 100 Duration: 3 hour
Class: S.Y.B.Tech. Semester: IV Program: Civil
Name of the Course: Surveying-II Course Code: BTC- 227
Instructions:
1. Question No 1 is compulsory.
2. Attempt any four questions out of remaining six.
.
3. Draw neat diagrams
4. Assume suitable data if necessary
Maximum C.O. Mod.
Question No. 1 (solve any four from a to f)
Marks
c)
(a) What are the requirements of Base line? 05 6
b bbbb
(b) Derive an expression for superelevation. 05 2
(c) How would you transfer alignment inside the tunnel? 05 7
c) c) c)
Ql 05 5
(d) Write note on Subtense bar.
(e) Discuss instruments used in Precision levelling. 05 4
(f) Explain degree of curve. 05 1
(a) In a Tacheometric Survey made with a tacheometre whose 10 C.0.1 5
constants are K=100 & C=0.50. Staff was kept vertical to the
line of sight for each readings. (RL of Q =135.60 m). Determine
RL of A, M and B.M.?
C.0.4 6
(b) Explain in detail the procedure for setting out Sewer line 10
with neat sketch.
(a) A gradient of — 1.8 % meets a gradient of +2.1 % at a 12 C.0.1 2
'Q3 chainage of 1250 m and elevation of 201m. A vertical curve of
length 200 m is to be set out with pegs at 20m interval.
Calculate the elevation of all points by any method of your
choice?
(b) Derive an expression for the horizontal distance and 08 C.0.1 5
elevation of staff station by tangential system when both the
points are at angle of depression.
(a) Highway curve having a deflection angle of 85' is to be 12 C.0.1
desire for a maximum speed of 80 km/hr, a maximum
centrifugal ratio of 1/4 and a minimum rate of change of radial
acceleration of 0.3 m/sec2/sec. the combined curve consist of
two cubic spirals and a circular curve. Calculate
Q4
(i) The radius of the circular curve, (ii) The length of the cubic
spiral (iii) The total length of the combined curve and (iv) The
chain ages of all salient points if the chain age of the point of
intersection is 2550m.
08 C.0.1 4
(b) Describe in details precautions to be taken during precision
levelling.
(a) A compound curve is to connect two straights having 10 C.0.1
deflection angle of 78°. The lengths of two tangents are 215 m
& 245 m respectively. Calculate the length of two arcs, if the
Q radius-of the first curve is to be 210 in. Also _ca1culate the
chainages of point of Tangency if that of point of intersection is
1200m.
(b) Explain in detail procedure for Two Theodolite method of
setting simple curve. 10 C.0.3 1
(a) Derive an expression for the spiral angle. 05 C.0.1 2
(b) Discuss in detail field work for carrying out radial 08 C.0.4 5
contouring.
(c) What is total station? Discuss advantages of total station?
07 C.0.3 3
Write short notes on the following (any four):
(i) Transfer of RL inside tunnel 05 C.0.4 6
(ii) Tacheometric plane Tabling 05 C.0.3 5
Q7 (iii) Trilateration 05 C.0.1 7
(iv) Electronic Theodolite 05 C.0.1 4
(v) Global positioning System 05 C.0.4 4
(vi) Types of transition curve 05 C.0.1 2
Bharatiya Vidya Bhavan's
Sardar Patel College of Engineering
(A Government Aided Autonomous Institute)
Munshi Nagar, Andheri (West), Mumbai — 400058.
Re- Examination
a-uo k 2018
Maximum Marks: 100 Duration: 3 hours
Class: S.Y.B.Tech Semester: IV Program: Civil Engineering
Name of the Course: Probability and Statistics Course Code : BTC226
Instructions:
I. Question No.1 is compulsory. Attempt any four from remaining six questions.
2. Attempt Questions serially and answers to all sub questions should be grouped together.
3. Write complete answers with formulas and statement of theorems used.
4. Use of programmable calculator is prohibited.
5. If you attempt more questions, specify which five (Including Q.1) should be graded.
Otherwise, by default, only the first five will be graded.
Marks ! CO I Mod
Q I 1 1 ule
1(a) Let X be a continuous random variable with probability density 6 , 1 I3
, I
Ke-lt , x >0
function f (x) =
0 x<0
Find (i) K (ii) P(15. X ... 2) (iii) mean (iv) variance
(b) X2dx _ x2y :y , 6 2 1
Evaluate 1 V3x + a where C is the triangle with
C
vertices (0,0), (0,1) and (2,1) oriented clockwise.
(c) Solve the following problems by the simplex method 8 3 6
Maximize Z = 4x1 +3x2 +6x3
Subject to 2x1 + 3x2 + 2x3 5. 440
4x1 + 3x3 5_ 470
2x1 + 5x2 .5 430
xI, x2, X3 ?.. O.
1
This data can be modelled by the regression line with equation
x = ay +b
Find the values of a and b
(b) The finish times for marathon runners during a race are normally 6 1 4
distributed with a mean of 195 minutes and a standard deviation
of 25 minutes.
a) What is the probability that a runner will complete the
marathon within 3 hours?
b) Calculate to the nearest minute, the time by which the first 8%
runners have completed the marathon.
(c) Verify Green's Theorem for f x2y2dx+(yx3 + y2 )dy where C 8 2 1
c
is the boundary of the triangle having vertices at (0,0) , (4,2) and
(4,-8)
' X 65 63 67 64 68 62 70 66 68 ' 71 I
Y 68 66 68 65 69 66 68 65 1 71 , 70 i
2
An ambulance service claims that it takes on an average 1 6 1 5
5 (a)
10.5 minutes to reach its destination in emergency calls.
To check on this claim, the agency which licenses
ambulance services has them timed on 60 emergency
calls, getting a mean of 12.7 minutes with standard
deviation of 1.8 minutes. What can they conclude at the
level of significance a = 0.05?
(b) The equations of the lines of regression
.._ _ are
3x+2y = 26, 6x+y =31 Find x, y and r
(c) The download time of a resource web page is normally
distributed with a mean of 6.5 seconds and a standard deviation
of 2.3 seconds.
(i) What proportion of page downloads take more than 8
seconds?
(ii) What is the probability that the download time will be
between 5 and 9 seconds?
(iii) How many seconds will it take for 40% of the downloads
to be completed?
6 1 4
6(a) Two independent samples from normal population with equal
variance gave the following results
1
Sample Size Mean S.D
1 16 23.4 2.5
2 1 12 24.9 2.8
2 1
7(a) Use Gauss Divergence Theorem to evaluate if • nds , where S 6
s
W . x.z3"i +2.7c3z2:j+z4k
(b) The probability that a match will not strike is 0.009. Calculate 6 1 3
the probability that in a box of 100 matches:
(a) they all strike satisfactorily
(b) at least 2 do not strike
Areas
under ttle
Standard
Normal Curve
from 0 tc z
2 3 4 5 6 7 8 9
1.
3,0 .4987 .4987 .4987 .4988 .4988 .4989 .4989 .4989 .4990 .4990
3.1 .4990 .4991 .4991 .4991 .4992 .4992 .4992 .4992 .4993 ,4993
3.2 .4993 .4993 .4994 .4994 .4994 .4994 .4994 .4995 .4995 .4996
3.3 .4995 4996 .4995 4996 .4996 .4996 .4996 .4996 .4996 .4997
3.4 .4997 .4997 .4997 .4097 .4997 .4997 .4997 .4997 .4997 .4998
3.5 .4998 .4998 .4998 .4998 .4998 .4,998 .4998 .4998 .4998 .4998
8.6 .4998 .4998 .4999 .4909 .4999 .4999 .4999 .4999 .4999 .4999
3.7 ,4999 .4999 .4999 .4999 .4999 .499,9 .4999 .4999 .4999 .4999
3.8 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999
3.9 .5000 .5000 .5000 .5000 .5000 .6000 .5000 .5000 .5000 .5000
-_
345
-8-886,6686
Appendix D
346
Bharatiya Vidya 13havan's
Sardar Patel College of Engineering
(A Government Aided Autonomous Institute)
Munshi Nagar, Andheri (West), Mumbai — 400058.
END SEMESTER EXAM MAY-2018
Max. Marks: 100 Duration: 3 Hrs
Class: S.Y.B.Tech Semester: IV Program: Civil Engineering
Name of the Course: Fluid Mechanics Course Code : BTC229
Instructions:
I. Question no 1 is compulsory & attempt any four out of remaining six questions.
2. Illustrate answer with neat sketches wherever required.
3. Make suitable assumptions where necessary and state them clearly.
6'9110
I B) What are the advantages of triangul—
arin4c—
h -o-ver the 06
rectangular notch?
C) Explain the difference between notch & weir with 06
sketches. Why ventilation is provided in the notch?
A) A 4 cm diameter orifice in the vertical side of the 06±06 l&2
tank discharges water. The water surface in the tank
is at constant level of 2 m above the centre of orifice.
A fluid jet has diameter of 3.25 cm at its vena-
contracta. The measured discharge is 5 lit/sec.
determine Cc,Cy & Cd for the orifice?
B) The left limb of a U- Tube mercury manometer is .
connected to a pipe line conveying water, the level of
mercury in the limb being 0.75 m below the centre of
pipe line and the right leg is open to atmosphere. The
level of mercury in right limb is 0.60 m above that in
left limb and the space above mercury in the right
limb contains benzene (sp.gravity 0.88) to a height of
0.45 m. find the pressure in the pipe.
1C) Discuss the following cases of Ideal flow with their 08 1&2
equation of stream & velocity potential function.
A) Uniform flow B) source flow
A) Write a short note on Mach number. And also explain 08
a) Mach Cone with all three possible cases.
b) Mach Angle
B) Explain any five classifications of fluid flows. 06
C) Find the mach number when an aircraft is flying at
06 6
1200 km/hr through still air having pressure of 90
KN/m2 & temperature of -8°C. Take R- 287.14
J/Kg.K. Calculate the pressure,density & temp at
stagnation point. Take K= 1.4
A) A rectangular tank 2.5 m wide, 3.0 m long & 3.5 m deep 12
contains water to depth of 2.0 m. find the horizontal
acceleration which may be imparted to the tank in the
direction of its length so that (a) there is no spilling of water
from the tank (b) the front bottom corner of the tank is just
exposed (c) the bottom of tank is exposed up to its mid-
point. Calculate the volume of water that would spill out
from the tank in case of (b) & (c) Also calculate the total
forces on each end of the tank in each of the cases & show
that difference between the forces equals the unbalanced
force necessary to accelerate the liquid mass in the tank.
B) Derive an expression for fluid masses subjected to 04
acceleration with inclined plane.
C) In above tank (refer Q.7.A), if oil is filled upto total 04 7
height of tank. Find the force acting at side of the tank when
1) Vertical acceleration is 5.0 m/s acts upward
2) Vertical acceleration is 5.0 m/s2 acts downward