Download VTU BE 2020 Jan [folder1] 4th Sem 15CV42 Analysis of Determinate Structures Question Paper

/ /
USN
15CV42
Fourth Semester B.E. Degree Examination:De
leg

--- Content provided by FirstRanker.com ---

.
e
/jan.2020
Analysis of Determinate Structures
Time: 3 hrs. Max. Marks: 80

--- Content provided by FirstRanker.com ---

Note: Answer any FIVE full questions, choosing ONE full question from each module.
Module-1
a. Define the degree of static and kinematic indeterminacies with examples. (06 Marks)
b. Find the forces in the members PQ, PR and RS of the truss shown in Fig.Q.1(b) using
method of section. (10 Marks)

--- Content provided by FirstRanker.com ---

Fig.Q.1(b)
2
74
174
0 -

--- Content provided by FirstRanker.com ---

5
2 a.
OR
Determine the Degrees of freedom for the structures shown in Fig.Q.2(a) (i) (ii) and (iii)
with and without considering axial deformation. (06 Marks)

--- Content provided by FirstRanker.com ---

G
=
3 1
7
,;

--- Content provided by FirstRanker.com ---

o
-
c4
?
O

--- Content provided by FirstRanker.com ---

?
e
'
/

--- Content provided by FirstRanker.com ---

? ? 0
4.1
;]
j
C

--- Content provided by FirstRanker.com ---

trr.)
CA
? C
e
V,

--- Content provided by FirstRanker.com ---

o
8

O
z

--- Content provided by FirstRanker.com ---

C
t
O
C
I>

--- Content provided by FirstRanker.com ---

Fig.Q.2(a)(i) Fig Q.2(a)(ii)
Fig.Q.2(a)(iii)
b. Analyze the truss shown in Fig.Q.2(b) and tabulate the values.
a to IA
Fig.Q.2(b)

--- Content provided by FirstRanker.com ---

(10 Marks)
1 o 3
FirstRanker.com - FirstRanker's Choice
/ /
USN

--- Content provided by FirstRanker.com ---

15CV42
Fourth Semester B.E. Degree Examination:De
leg
.
e

--- Content provided by FirstRanker.com ---

/jan.2020
Analysis of Determinate Structures
Time: 3 hrs. Max. Marks: 80
Note: Answer any FIVE full questions, choosing ONE full question from each module.
Module-1

--- Content provided by FirstRanker.com ---

a. Define the degree of static and kinematic indeterminacies with examples. (06 Marks)
b. Find the forces in the members PQ, PR and RS of the truss shown in Fig.Q.1(b) using
method of section. (10 Marks)
Fig.Q.1(b)
2

--- Content provided by FirstRanker.com ---

74
174
0 -
5
2 a.

--- Content provided by FirstRanker.com ---

OR
Determine the Degrees of freedom for the structures shown in Fig.Q.2(a) (i) (ii) and (iii)
with and without considering axial deformation. (06 Marks)
G
=

--- Content provided by FirstRanker.com ---

3 1
7
,;
o
-

--- Content provided by FirstRanker.com ---

c4
?
O
?
e

--- Content provided by FirstRanker.com ---

'
/

? ? 0
4.1

--- Content provided by FirstRanker.com ---

;]
j
C
trr.)
CA

--- Content provided by FirstRanker.com ---

? C
e
V,
o
8

--- Content provided by FirstRanker.com ---

O
z
C
t

--- Content provided by FirstRanker.com ---

O
C
I>
Fig.Q.2(a)(i) Fig Q.2(a)(ii)
Fig.Q.2(a)(iii)

--- Content provided by FirstRanker.com ---

b. Analyze the truss shown in Fig.Q.2(b) and tabulate the values.
a to IA
Fig.Q.2(b)
(10 Marks)
1 o 3

--- Content provided by FirstRanker.com ---

Module-2
3 a. Determine the maximum deflection at the free end of a cantilever beam subjected to udl of
w/mt run over its entire span with constant El. Use Macaulay's method. (06 Marks)
b. For the simply supported beam loaded as shown in Fig.Q.3(b). Find the slope at A and B and
deflection at `E'. Take El= 4000 kN-m

--- Content provided by FirstRanker.com ---

2
. Use moment area method. (10 Marks)
5014
?
4

--- Content provided by FirstRanker.com ---

tJ
i
Sok
G +
1)

--- Content provided by FirstRanker.com ---

1,s
..2!"
Fig.Q.3(b)
OR

--- Content provided by FirstRanker.com ---

4 a. Derive the differential equation of deflected curve for the beam with usual notations.
(04 Marks)
b. For the simply supported beam loaded as shown in Fig.Q.4(b). Taking E = 200GPa,
I = 7 x 10
s

--- Content provided by FirstRanker.com ---

mm
4
. Find the magnitude and location of Max. deflection in the beam. Use
Conjugate Beam Method. (12 Marto
400'1

--- Content provided by FirstRanker.com ---

6okts)
.2)
AO" k 4
rn

--- Content provided by FirstRanker.com ---

a?)
Fig.Q.4(b)
Module-3
5 a. Derive the expression for the strain energy stored in a member due to axial force. (04 Marks)
b. Using castigliano's approach find the vertical and horizontal deflection at of abent

--- Content provided by FirstRanker.com ---

loaded as shown in Fig.Q.5(b). Take EI = 15000 kN/m
2
. (12 Marks)
510K11 rn
4

--- Content provided by FirstRanker.com ---

1
1, 2I
Fig.Q.5(b)
OR
6 a. Determine the horizontal movement at support B of the steel truss loaded as shown in

--- Content provided by FirstRanker.com ---

Fig.Q.6(a) by unit load method. Take A = 1000mm
2
, E = 200Gpa. (10 Marks)
500
,1

--- Content provided by FirstRanker.com ---

5o let? D
I
i
I

--- Content provided by FirstRanker.com ---

Oft)
- 1
1 01v,
Fig.Q.6(a)
b. Determine the deflection at the mid span of a simply supported ubjected to a point

--- Content provided by FirstRanker.com ---

load 'W' at its mid span using strain energy method. SOC/e (06 Marks)
ch,RNI
L
l?" I v
?

--- Content provided by FirstRanker.com ---

o? t
2 of 3
FirstRanker.com - FirstRanker's Choice
/ /
USN

--- Content provided by FirstRanker.com ---

15CV42
Fourth Semester B.E. Degree Examination:De
leg
.
e

--- Content provided by FirstRanker.com ---

/jan.2020
Analysis of Determinate Structures
Time: 3 hrs. Max. Marks: 80
Note: Answer any FIVE full questions, choosing ONE full question from each module.
Module-1

--- Content provided by FirstRanker.com ---

a. Define the degree of static and kinematic indeterminacies with examples. (06 Marks)
b. Find the forces in the members PQ, PR and RS of the truss shown in Fig.Q.1(b) using
method of section. (10 Marks)
Fig.Q.1(b)
2

--- Content provided by FirstRanker.com ---

74
174
0 -
5
2 a.

--- Content provided by FirstRanker.com ---

OR
Determine the Degrees of freedom for the structures shown in Fig.Q.2(a) (i) (ii) and (iii)
with and without considering axial deformation. (06 Marks)
G
=

--- Content provided by FirstRanker.com ---

3 1
7
,;
o
-

--- Content provided by FirstRanker.com ---

c4
?
O
?
e

--- Content provided by FirstRanker.com ---

'
/

? ? 0
4.1

--- Content provided by FirstRanker.com ---

;]
j
C
trr.)
CA

--- Content provided by FirstRanker.com ---

? C
e
V,
o
8

--- Content provided by FirstRanker.com ---

O
z
C
t

--- Content provided by FirstRanker.com ---

O
C
I>
Fig.Q.2(a)(i) Fig Q.2(a)(ii)
Fig.Q.2(a)(iii)

--- Content provided by FirstRanker.com ---

b. Analyze the truss shown in Fig.Q.2(b) and tabulate the values.
a to IA
Fig.Q.2(b)
(10 Marks)
1 o 3

--- Content provided by FirstRanker.com ---

Module-2
3 a. Determine the maximum deflection at the free end of a cantilever beam subjected to udl of
w/mt run over its entire span with constant El. Use Macaulay's method. (06 Marks)
b. For the simply supported beam loaded as shown in Fig.Q.3(b). Find the slope at A and B and
deflection at `E'. Take El= 4000 kN-m

--- Content provided by FirstRanker.com ---

2
. Use moment area method. (10 Marks)
5014
?
4

--- Content provided by FirstRanker.com ---

tJ
i
Sok
G +
1)

--- Content provided by FirstRanker.com ---

1,s
..2!"
Fig.Q.3(b)
OR

--- Content provided by FirstRanker.com ---

4 a. Derive the differential equation of deflected curve for the beam with usual notations.
(04 Marks)
b. For the simply supported beam loaded as shown in Fig.Q.4(b). Taking E = 200GPa,
I = 7 x 10
s

--- Content provided by FirstRanker.com ---

mm
4
. Find the magnitude and location of Max. deflection in the beam. Use
Conjugate Beam Method. (12 Marto
400'1

--- Content provided by FirstRanker.com ---

6okts)
.2)
AO" k 4
rn

--- Content provided by FirstRanker.com ---

a?)
Fig.Q.4(b)
Module-3
5 a. Derive the expression for the strain energy stored in a member due to axial force. (04 Marks)
b. Using castigliano's approach find the vertical and horizontal deflection at of abent

--- Content provided by FirstRanker.com ---

loaded as shown in Fig.Q.5(b). Take EI = 15000 kN/m
2
. (12 Marks)
510K11 rn
4

--- Content provided by FirstRanker.com ---

1
1, 2I
Fig.Q.5(b)
OR
6 a. Determine the horizontal movement at support B of the steel truss loaded as shown in

--- Content provided by FirstRanker.com ---

Fig.Q.6(a) by unit load method. Take A = 1000mm
2
, E = 200Gpa. (10 Marks)
500
,1

--- Content provided by FirstRanker.com ---

5o let? D
I
i
I

--- Content provided by FirstRanker.com ---

Oft)
- 1
1 01v,
Fig.Q.6(a)
b. Determine the deflection at the mid span of a simply supported ubjected to a point

--- Content provided by FirstRanker.com ---

load 'W' at its mid span using strain energy method. SOC/e (06 Marks)
ch,RNI
L
l?" I v
?

--- Content provided by FirstRanker.com ---

o? t
2 of 3
3 of 3
4 Gban
Fig.Q.10(b)

--- Content provided by FirstRanker.com ---

15CV42
Module-4
7 a. Show that the bending moment is zero at all sections of a parabolic arch when it is subjected
to udl over its entire span. (06 Marks)
b. A suspension cable has span of 120m and dips by 10m and carries a load of 101(N/m over its

--- Content provided by FirstRanker.com ---

entire span. Find:
i) The length of the cable
ii) Maximum and minimum tension in the cable with its location and direction.
iii) What could be the force transmitted to the supporting tower when the cable passes
over a smooth pulley fixed on top of the tower. Assume angle of back stay as 30? to

--- Content provided by FirstRanker.com ---

vertical. (10 Marks)
OR
8 A three hinged parabolic arch of span 30m has its left and height supports at 12m and 4m
below crown point. The arch carries a load of 80kN at distance of 4m to the left of crown C
and an udl of 15kN/m between crown and right support. Find the B.M. under the point load,

--- Content provided by FirstRanker.com ---

maximum bending moment on the right portion of the arch. Also find normal thrust and
radial shear at the point load. (16 Marks)
Module-5
9 a. Establish the expression for load position to get maximum bending moment at a section
which is at a distance of 'a' from left support 'A' in a simply supported beam AB of span

--- Content provided by FirstRanker.com ---

`I,' and traversed by a udl w/mt run which is shorter span. (06 Marks)
A beam has a span of 20m subjected to two point loads 80kN and 40kN 2m apart rolls from
b. left to right with 40kN load leading. Draw ILD for reaction at B, BM and SF at section 5m
from left support, hence find the maximum values of above quantities. (10 Marks)
OR

--- Content provided by FirstRanker.com ---

10 a. Wheel loads shown in Fig.Q.10(a) moves from left to right on a S.S. beam of 12m span.
Find the absolute maximum BM any where in the beam and also find equivalent udl to be
placed over the entire span. (08 Marks)
*.% \t,x
4

--- Content provided by FirstRanker.com ---

3
1
(
0

--- Content provided by FirstRanker.com ---

c6c
lt .
0 ? e e
-
1

--- Content provided by FirstRanker.com ---

Nr

Fig.Q.10(a)
b. Draw the ILD for axial force in member 1 of the truss shown Fig.Q.10(b) and hence find its
maximum tensile/ compressive value when a udl of 10kN/m of length traverse from left to

--- Content provided by FirstRanker.com ---

right. (08 Marks)
4 71?o
Z

i

--- Content provided by FirstRanker.com ---

Jt

FirstRanker.com - FirstRanker's Choice