GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- V (New) EXAMINATION - WINTER 2019
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Subject Code: 2150608Subject Name: Structural Analysis-II
Time: 10:30 AM TO 01:00 PM
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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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
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OR
Q.1 (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: [Ap], [ApL], [S] and [D] with usual notations for the beam shown in fig.3, using Stiffness method. 07
Q.2 (a) Define:Sway. What are the causes for Sway in portal frames? 03
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(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.2 (a) 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 (Ma) and bending moment at B (Mg) as redundant. 03
(b) Find flexibility matrix forthe beam shown in fig. 1 04
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(c) State and explain the Muller-Breslau’s Principle with suitable example. 07Q.3 (a) State Castiglione’s first and second theorem with its usefulness. 03
(b) Derive slope-deflection equations from first principles. 04
(c) Three pointloads 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 leadingload. Calculate maximum shear force (positive and negative), and bending moment at a section 5m from left end. 07
OR
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Q.3 (a) Draw bending moment diagrams for the frame shown in fig. 4 using Slope Deflection Method. 03
(b) Find distribution factors for frame shown in fig.6. 04
(c) 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. 07
Q.4 (a) Draw influence line diagram for propped cantilever beam AB of span 6 m for support reactions (Ra , Rg,Ma). Calculate ordinate at 2 m interval. 03
(b) Write slope deflection equations for the beam shown in fig. 5, if middle support sink by 3 mm. 04
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(c) Using flexibility method find M4 for propped cantilever beam subjected to UDL 30 kN/m for the whole span. Consider Ma as redundant. EI is constant. 07OR
Q.4 (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
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Q.5 (a)
(b)
(c)
OR
Q.5 (a)
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(b)(c)
Date: 21/11/2019
Total Marks: 70
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