Structure Analysis
Exam Duration: 45 Mins Total Questions : 30
What is the total degree of static indeterminacy of the triangular planar truss shown in the figure?
- (a)
2
- (b)
4
- (c)
5
- (d)
6
What is the statical indeterminacy for the frame shown in figure?
- (a)
12
- (b)
14
- (c)
11
- (d)
15
The total degree of static indeterminacy of the plane frame shown in the given figure is
- (a)
18
- (b)
16
- (c)
14
- (d)
13
The internal forces at any cross-section of an arch are
- (a)
SF only
- (b)
SF and BM only
- (c)
normal thrust only
- (d)
SF, BM and normal thrust all
A three hinged symmetrical arch carries a udl over the entire span, then the section of the arch is subjected to
- (a)
SF only
- (b)
SF and BM
- (c)
SF and normal thrust
- (d)
normal thrust only.
The degree of static determinacy of the rigid frame as shown in the figure.
- (a)
4
- (b)
6
- (c)
8
- (d)
10
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)
3
- (b)
6
- (c)
9
- (d)
0
Determine the degrees of freedom or kinematic indeterminacy of the following beams and frames (neglect axial deformation)
- (a)
3
- (b)
6
- (c)
9
- (d)
12
The force in the member AB is
- (a)
5 KN
- (b)
5 \(\sqrt { 2 } \)KN
- (c)
10 KN
- (d)
zero
What is the slope at point B for the cantilever beam AC as shown in the figure? (EI is constant)
- (a)
zero
- (b)
\(\frac { M_{ 0 }L }{ 2\quad EI } \)
- (c)
\(\frac { M_{ 0 }L }{ EI } \)
- (d)
\(\frac { 2M_{ 0 }L }{ EI } \)
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
A simply supported beam with an overhang is traversed by a unit concentrated moment from left to right as shown below
- (a)
- (b)
- (c)
- (d)
Zero everywhere
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 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)
What is the value of \(\theta _{ B }\) for the beam shown in figure?
- (a)
zero
- (b)
\(\frac { 15 }{ EI } \) anti-clockwise
- (c)
\(\frac { 30 }{ EI } \) anti-clockwise
- (d)
\(\frac { 30 }{ EI } \) anti-clockwise
Which one of the following diagram corresponds to the ILD for moment at A of the beam shown in the figure below?
- (a)
- (b)
- (c)
- (d)
For beam shown in figure-I, an Influence line diagram is shown in figure-H. This refers to
- (a)
reaction at A
- (b)
shear force at support D
- (c)
bending moment at support B
- (d)
SF at Section X - X
The left end A of a member with partial fixity undergoes clockwise rotation of \(\theta \) and sinks by \(\delta \). The right end B undergoes an anti-clockwise rotation of \(\frac { \theta }{ 2 } \) and sinks \(\frac { \delta }{ 2 } \) For condition of n transverse loading MBA is equal to
- (a)
\(\frac { 3El\delta }{ L^{ 2 } } \)
- (b)
\(\frac { 2El }{ L } \left( 2\theta +\frac { 1.5\delta }{ L } \right) \)
- (c)
\(\frac { 3El }{ L } \left( \theta +\frac { \delta }{ L } \right) \)
- (d)
\(\frac { 6El\delta }{ L^{ 2 } } \)
The slope deflection equation at the end B of the member BC for the frame shown in the given figure will be
- (a)
\(M_{ BC }=\frac { 4EI }{ 8 } \left( 2\theta _{ C }+\theta _{ B } \right) \)
- (b)
\(M_{ BC }=\frac { 4EI }{ 8 } \left( 2\theta _{ B }+\theta _{ C } \right) \)
- (c)
\(M_{ BC }=\frac { 4EI }{ 8 } \left( 2\theta _{ B }+\theta _{ C } \right) \)
- (d)
\(M_{ BC }=\frac { 4EI }{ 8 } \left( 2\theta _{ C }+\theta _{ B } \right) \)
The slope deflection equation at end 2 of the member 1-2 for the frame shown in the figure is given by
- (a)
\(M_{ 21 }=\frac { 2EI }{ L } \left( 2\theta _{ 1 }+2\theta _{ 2 } \right) -wL\)
- (b)
\(M_{ 21 }=\frac { 2EI }{ L } \left( 2\theta _{ 1 }-\frac { 3\delta }{ L } \right) \)
- (c)
\(M_{ 21 }=\frac { 2EI }{ L } \left( 2\theta _{ 2 }-\frac { 3\delta }{ L } \right) \)
- (d)
\(M_{ 21 }=\frac { 2EI }{ L } \left( \theta _{ 1 }+2\theta _{ 2 }-\frac { 2\delta }{ L } \right) +wL\)
For a linear elastic frame, if stiffness matrix is doubled with respect to the existing stiffness matrix, the deflection of the resulting frame will be
- (a)
twice the existinq value
- (b)
halt the existing value
- (c)
the same as existing value
- (d)
indeterminate value
For the beam shown below, the reaction at support B, from the span AB is
- (a)
\(\frac { 3wL }{ 8 } \)
- (b)
\(\frac { 5wL }{ 8 } \)
- (c)
\(\frac { wL }{ 6 } \)
- (d)
\(\frac { wL }{ 4 } \)
What is the ratio of magnitudes of moments in the member BC at the ends Band C in the figure given below?
- (a)
1:1
- (b)
3:1
- (c)
3:4
- (d)
1:3
The given figure shows a portal frame with one end fixed and other hinged. The ratio of the fixed end moments MBA / MCD due to sidesway will be
- (a)
1.0
- (b)
2.0
- (c)
2.5
- (d)
3.0
The force in the number BD of the truss shown in the figure is
- (a)
4 kN(tensile)
- (b)
4 kN(compressive)
- (c)
zero
- (d)
12 kN(compressive)
What is the variation of influence line for stress function in a statically determinate structure?
- (a)
Parabolic
- (b)
Bilinear
- (c)
Linear
- (d)
Uniformlyrectangular
A plane frame is loaded as shown in the figure. The rotations are indicated as \(\theta _{ B }\) and \(\theta _{ C }\) and sway is indicated by symbol \(\Delta \). For the given frame which one of the statement is correct?
- (a)
\(\theta _{ B }=\theta _{ C };\Delta \) is absent
- (b)
\(\theta _{ B }=-\theta _{ C };\Delta \) is absent
- (c)
\(\theta _{ B }=\theta _{ C };\Delta \) is present
- (d)
\(\theta _{ B }=-\theta _{ C };\Delta \) is present
What is the value of flexibility coefficient f12 for the continuous beam shown in the figure below?
- (a)
\(\frac { { L }^{ 3 } }{ 3EI } \)
- (b)
\(\frac { { L }^{ 3 } }{ 2EI } \)
- (c)
\(\frac { { L }^{ 3 } }{ 8EI } \)
- (d)
\(\frac { { L }^{ 3 } }{ 12EI } \)
What is the vertical reaction at support A for the frame shown in figure below?
- (a)
0
- (b)
10 kN
- (c)
16 kN
- (d)
20 kN
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