GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- IV EXAMINATION — SUMMER 2020
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Subject Code: 2140603 Date:28/10/2020Subject Name: STRUCTURAL ANALYSIS-I
Time: 10:30 AM TO 01:00 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) State assumptions and limitations of Euler’s formula. [03]
(b) A thin cylindrical shell of internal diameter d, wall thickness t and length L, is subjected to internal pressure p. Derive the expression for change in volume of the cylinder. [04]
(c) Give equations of Static and Kinematics Indeterminacy for the following structures with meaning of each term used. [07]
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(1) Beam, (ii) Plane truss, (iii) Plane Frame, (iv) GridQ.2 (a) State and explain principle of superposition. [03]
(b) Explain Maxwell’s theorem of reciprocal deflections. [04]
(c) A hollow cast iron column 6m 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 4. Take fc=550N/mm² and d=1/1600. E =200 GPa [07]
OR
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(c) A cylindrical shell has 4.0 meter length; 1.2 meter diameter and 12 mm thickness. The shell is subjected to internal pressure of 3 N/mm².calculate maximum shear stress and change in dimension of shell. [07]
Q.3 (a) Findout fixed end moment fora fixed beam carrying uniformly distributed load w per meter length over entire span. [03]
(b) State basic difference between fixed and simply supported beams. State advantages of fixed beam over simply supported beam. [04]
(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]
OR
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Q.3 (a) State and explain moment area theorem. [03]
(b) Differentiate between real beam and conjugate beam. Justify the support condition in conjugate beam. [04]
(c) Find slope & deflection for the following structure by double integration method [07]
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