Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 5th Sem New 2150608 Structural Analysis Ii Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2150608 Date: 21/11/2019
Subject Name: Structural Analysis-II
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Define: (i) Influence line diagrams (ii) Absolute maximum bending moment
(iii) Distribution factor
03
(b) Find stiffness matrix for beam shown in fig.1. 04
(c)
Calculate the vertical displacement at free end using unit load method for the
cantilever bent as shown in the fig.2.
07
Q.2 (a) Give characteristics of stiffness and flexibility Matrix. 03
(b) A cantilever beam of 5m has fixed support at A and B is free end. Draw ILD
for support reactions, shear force and bending moment at 2 m from support
A.
04
(c) Find the matrices: [AD], [ADL], [S] and [D] with usual notations for the beam
shown in fig.3, using Stiffness method.
07
OR
(c) Find the matrices: [DQ], [DQL], [F] and [Q] with usual notations for the beam
shown in fig.3. Use Flexibility method assuming reactive moment at A (M A)
and bending moment at B (MB) as redundant.
07
Q.3 (a) Define:Sway. What are the causes for Sway in portal frames? 03
(b) Using Castigliano?s first theorem find slope at free end of cantilever beam of
span 5 m subjected to UDL of 30 kN/m throughout the span.
04
(c) Draw bending moment diagram for the frame shown in fig. 4 using Moment
Distribution Method.
07
OR
Q.3 (a) Find flexibility matrix for the beam shown in fig. 1 03
(b) State and explain the Muller-Breslau?s Principle with suitable example. 04
(c) Draw bending moment diagrams for the frame shown in fig. 4 using Slope
Deflection Method.
07
Q.4 (a) State Castiglione?s first and second theorem with its usefulness. 03
(b) Derive slope-deflection equations from first principles. 04
(c) Three point loads 70 kN, 60 kN and 50 kN equally spaced 3m respectively,
cross a girder of 12 m span from left to right, with the 50 kN load as
leading load. Calculate maximum shear force (positive and negative), and
bending moment at a section 5m from left end.
07
OR
Q.4 (a) Find distribution factors for frame shown in fig.6. 03
(b) A UDL of 12 kN/m and 5m length crosses a simply supported beam of 10 m
span from left to right. Find maximum B.M at section 4 m from left support.
04
(c) Draw influence line diagram for propped cantilever beam AB of span 6 m for
support reactions (RA , RB, MA). Calculate ordinate at 2 m interval.
07
Q.5 (a) Write slope deflection equations for the beam shown in fig. 5, if middle
support sink by 3 mm.
03
(b) Using flexibility method find MA for propped cantilever beam subjected to
UDL 30 kN/m for the whole span. Consider MA as redundant. EI is constant.
04
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2150608 Date: 21/11/2019
Subject Name: Structural Analysis-II
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Define: (i) Influence line diagrams (ii) Absolute maximum bending moment
(iii) Distribution factor
03
(b) Find stiffness matrix for beam shown in fig.1. 04
(c)
Calculate the vertical displacement at free end using unit load method for the
cantilever bent as shown in the fig.2.
07
Q.2 (a) Give characteristics of stiffness and flexibility Matrix. 03
(b) A cantilever beam of 5m has fixed support at A and B is free end. Draw ILD
for support reactions, shear force and bending moment at 2 m from support
A.
04
(c) Find the matrices: [AD], [ADL], [S] and [D] with usual notations for the beam
shown in fig.3, using Stiffness method.
07
OR
(c) Find the matrices: [DQ], [DQL], [F] and [Q] with usual notations for the beam
shown in fig.3. Use Flexibility method assuming reactive moment at A (M A)
and bending moment at B (MB) as redundant.
07
Q.3 (a) Define:Sway. What are the causes for Sway in portal frames? 03
(b) Using Castigliano?s first theorem find slope at free end of cantilever beam of
span 5 m subjected to UDL of 30 kN/m throughout the span.
04
(c) Draw bending moment diagram for the frame shown in fig. 4 using Moment
Distribution Method.
07
OR
Q.3 (a) Find flexibility matrix for the beam shown in fig. 1 03
(b) State and explain the Muller-Breslau?s Principle with suitable example. 04
(c) Draw bending moment diagrams for the frame shown in fig. 4 using Slope
Deflection Method.
07
Q.4 (a) State Castiglione?s first and second theorem with its usefulness. 03
(b) Derive slope-deflection equations from first principles. 04
(c) Three point loads 70 kN, 60 kN and 50 kN equally spaced 3m respectively,
cross a girder of 12 m span from left to right, with the 50 kN load as
leading load. Calculate maximum shear force (positive and negative), and
bending moment at a section 5m from left end.
07
OR
Q.4 (a) Find distribution factors for frame shown in fig.6. 03
(b) A UDL of 12 kN/m and 5m length crosses a simply supported beam of 10 m
span from left to right. Find maximum B.M at section 4 m from left support.
04
(c) Draw influence line diagram for propped cantilever beam AB of span 6 m for
support reactions (RA , RB, MA). Calculate ordinate at 2 m interval.
07
Q.5 (a) Write slope deflection equations for the beam shown in fig. 5, if middle
support sink by 3 mm.
03
(b) Using flexibility method find MA for propped cantilever beam subjected to
UDL 30 kN/m for the whole span. Consider MA as redundant. EI is constant.
04
2
(c) Find support reactions of the frame shown in fig. 6 using Castigliano?s
theorem.
07
OR
Q.5 (a) Draw possible released beam for statically indeterminate beam shown in fig.3 03
(b) A propped cantilever beam of span 6 m is subjected to UDL of 50 kN/m
throughout the span. Using Castilgliano?s theorem find support reactions.
04
(c) Analyse truss shown in fig. 7 by stiffness Method. AE is constant for all
members
07
Fig. 1
Fig. 2
Fig.3
Fig.5
Fig.4
Fig. 6
Fig. 7
10 kN/m
10 kN
2 m 2 m
4 m
A
B C
EI = Constant
3m
3m
3m
45?
B
C
25 kN
D
A
20 kN
40 kN
2 m
2 m
2 m
20 kN
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This post was last modified on 20 February 2020