GUJARAT TECHNOLOGICAL UNIVERSITY
SEMESTER-IV (NEW) EXAMINATION - WINTER 2018
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Subject Code: 2140603 Date: 10/12/2018
Subject Name: Structural Analysis-I
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1
(a) Find out fixed end moment for a fixed beam carrying uniformly distributed load for the whole span. (03)
(b) Explain in detail various types of framed structures with neat sketches. (04)
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(c) Explain in detail: (07)
- Maxwell’s reciprocal theorem
- Principal of superposition
Q.2
(a) Justify the support condition in conjugate beam. (03)
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(b) State and explain moment area theorem. (04)
(c) A hollow cast iron column 5m long is fixed at both ends and has an external diameter of 300mm. The column supports an axial load of 1200kN. Find the internal diameter of the column, adopting a factor of safety of 5. Take fc=550N/mm² and a=1/1600. E =200 GPa (07)
OR
(c) Calculate the critical load for a strut which is made of a bar circular in section and 5m long and which is pin jointed at both ends. The same bar when freely supported gives a mid-span deflection of 10mm under a load of 80N at the Centre. (07)
Q.3
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(a) Draw a neat sketches of Kernel of following cross-section: (03)
- Rectangular 300mm X 400mm
- Circular section with 300 mm diameter
- Square with 600 cm² area
(b) Obtain a relation for the maximum and minimum stresses at the base of a symmetrical column when it is subjected to an eccentric load about two axis. (04)
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(c) A short column of external diameter 50 cm and internal diameter 30 cm carries an eccentric load of 100 kN. Find the greatest eccentricity which the load can have without producing tension on the cross section. (07)
OR
Q.3
(a) Prove that the maximum strain energy stored in a body is given by U= (s²/2E) x Volume (03)
(b) State basic difference between fixed and simply supported beams. State advantages of fixed beam over simply supported beam (04)
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(c) A fixed beam AB of span L carried a UDL of w per meter length over entire span. Support B settles during application of load. Calculate the settlement, so that there is no fixed end moment at B. Also find FEM at A. (07)
Q.4
(a) Derive the equation for slope and deflection in a fixed beam of span ‘L’ having one of the support rotate clockwise ?. (03)
(b) State basic difference between Continuous and simply supported beams. State advantages of Continuous beam over simply supported beam. (04)
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(c) Using the method of consistent deformation compute all reactions and draw shear and moment diagrams. Take E=200GPa & I= 80X106mm4. (07)
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