Civil Engineering - Structure Analysis
Exam Duration: 45 Mins Total Questions : 30
What is the degree of static indeterminacy of the planar frame as shown in figure?
- (a)
1
- (b)
2
- (c)
3
- (d)
0
Neglecting axial deformation, the kinematic indeterminacy of the structure shown in the figure below is
- (a)
12
- (b)
14
- (c)
20
- (d)
22
A three hinged arch shown in the figure is quarter of a circle. If the vertical and horizontal components of reaction at A are equal, the value of \(\theta \) is
- (a)
\(60°\)
- (b)
\(45°\)
- (c)
\(30°\)
- (d)
None of these
Calculate the degree of static indeterminacy of following structure.
- (a)
0
- (b)
2
- (c)
3
- (d)
4
Calculate the degree of static indeterminacy of following structure.
- (a)
3
- (b)
6
- (c)
9
- (d)
12
Determine the degrees of freedom or kinematic indeterminacy of the following beams and frames (neglect axial deformation)
- (a)
2
- (b)
3
- (c)
4
- (d)
5
Determine the degrees of freedom or kinematic indeterminacy of the following beams and frames (neglect axial deformation)
- (a)
3
- (b)
5
- (c)
7
- (d)
9
For simply supported truss as figure, the force in member BE is
- (a)
\(\sqrt { 2 } \)KN (tensile)
- (b)
\(\sqrt { 2 } \)KN (compressive)
- (c)
1 KN (tensile)
- (d)
zero
The figure given below shows a pin jointed frame. What are the forces in member BE, CD and ED?
- (a)
10 kN, 5 kN and 5 kN
- (b)
10 kN, 5 kN and zero
- (c)
5 kN, 10 kN and zero
- (d)
5 kN, 5 kN and zero
In the given pin-jointed plane frame, the force P; the member BD is
- (a)
50 kN (tensile)
- (b)
50 kN (compressive)
- (c)
50 \(\sqrt { 2 } \) kN (tensile)
- (d)
zero
The force in the member BD of the truss shown in the figure is
- (a)
4 kN (tensile)
- (b)
4 kN (compressive)
- (c)
4 kN (compressive)
- (d)
12 kN (compressive)
In the truss shown in the figure, which one of the the following members has no force induced in it?
- (a)
CD
- (b)
DE
- (c)
CF
- (d)
DF
In the previous example, what will be the value of the maximum moment at section C?
- (a)
2876.5 kN-m
- (b)
3112.5 kN-m
- (c)
3271.5 kN-m
- (d)
3476.8 kN-m
What is the ratio of the forces in the member AB, BE and AE of pin-jointed truss shown in the figure below?
- (a)
5: 4: 3
- (b)
4: 3: 5
- (c)
\(\frac { 1 }{ 4 } :\frac { 1 }{ 3 } :\frac { 1 }{ 5 } \)
- (d)
None of these
A udl of 15 KN/m and length 3 m rolls over a simply supported span of 10 m length. The maximum bending moment at a section 4 m from right end will be
- (a)
70.8 kNm
- (b)
82.2 kNm
- (c)
90.6 kN
- (d)
100 kN
The Influence Line Diagram (ILD) hown is for the member.
- (a)
PQ
- (b)
PS
- (c)
RS
- (d)
QS
The force in the member AB of the truss shown in the given figure is
- (a)
25 kN (compressive)
- (b)
25\(\sqrt { 2 } \) kN (compressive)
- (c)
25\(\sqrt { 2 } \) kN (tension)
- (d)
25 kN (tension)
The influence line diagram for the force in member XY of the truss shown in the figure will be
- (a)
- (b)
- (c)
- (d)
Consider a simply supported beam AB of span 25 m. Two point loads of 50 kN each, 5m apart, followed at 2.5 m by a uniform load of 5 kN/m, 5 m long cross from left to right.The maximum value of support reaction at A
- (a)
90 kN
- (b)
85 kN
- (c)
82.5 kN
- (d)
81.88 kN
All members of the frame shown below have the same flexural rigidity EI and length L. If a moment M is applied at joint B, the rotation of the joint is
- (a)
\(\frac { ML }{ 12EI } \)
- (b)
\(\frac { ML }{ 11EI } \)
- (c)
\(\frac { ML }{ 8EI } \)
- (d)
\(\frac { ML }{ 7EI } \)
For the rigid frame shown below, what is the moment reaction at A?
- (a)
5 kN-m
- (b)
10 kN-m
- (c)
12.33 kN-m
- (d)
15 kN-m
The force in the member DE of the truss shown in the figure is
- (a)
100 kN
- (b)
zero
- (c)
35.5 kN
- (d)
25 kN
The right triangular truss is made of members having equal cross-sectional areas of 1550 mm2 and Young's Modulli of 2 x 105 MPa. The horizontal deflection of the joint Q is
- (a)
2.47 mm
- (b)
10.25 mm
- (c)
14.31 mm
- (d)
15.68 mm
In a redundant joint model, three bar members are pin connected at Q as shown in the figure under some load placed at Q, the elongation of the member MQ and OQ are found to be 48 mm and 35 mm respectively. Then, the horizontal displacement u and vertical displacement v of the node Q in mm will be
- (a)
-6.4 and 56.14
- (b)
6.64 and 56.14
- (c)
0.0 and 59.41
- (d)
59.41 and 0.0
A truss as shown in the figure is carrying 180 kN load at node L2. The force in the diagonal member M2U4 will be
- (a)
100 kN(T)
- (b)
100 k(C)
- (c)
80 kN(T)
- (d)
80 kN(C)
For the structure shown below, the vertical deflection at point A is given by
- (a)
\(\frac { { PL }^{ 3 } }{ 81\quad EI } \)
- (b)
\(\frac { 2P{ L }^{ 3 } }{ 81\quad EI } \)
- (c)
zero
- (d)
\(\frac { { PL }^{ 3 } }{ 72\quad EI } \)
What is the area of influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span L?
- (a)
L/8
- (b)
L/2
- (c)
L/3
- (d)
3L/8
For the propped cantilever shown in the figure below, a hinge is provided at C. A and B are at the same level. What is the force reaction at the fixed and A?
- (a)
4P/3
- (b)
P
- (c)
3P/4
- (d)
P/2
A load 500 kN is applied at point A, as shown in the figure below, produces a vertical deflection at Band C of the as \(\Delta \)B = 10 mm and \(\Delta \)c = 15 mm respectively .
What is the deflection at A when loads of 100 kN and 300 kN are applied at B and C respectively?
- (a)
6 mm
- (b)
8 mm
- (c)
11 mm
- (d)
12.5 mm
For the proposed cantilever shown in the figure,influence line for reaction at the propped end is given by Y1 = ((x))
The influence line ordinate for moment at A is given by the equation
- (a)
y2=f(x).L
- (b)
y2=f(x).x
- (c)
y2=x-x.f(x)
- (d)
y2=x-L.f(x)