Download GTU B.Tech 2020 Winter 4th Sem 3140603 Structural Analysis I Question Paper

Enrolment No.

GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER-IV (NEW) EXAMINATION - WINTER 2020

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Instructions:

1. Attempt any FOUR questions out of EIGHT questions.

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2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1

1. Differentiate Plane frame and Grid [03]
2. State and explain principle of superposition. [04]

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3. Using Conjugate beam method, find the slope and deflection in terms of EI at free end of the cantilever beam shown in figure. [07]

Q.2

1. Explain Maxwell’s theorem of reciprocal deflections. [03]
2. Differentiate Conjugate beam and real beam [04]
3. Find slope at point A and B & deflection at point C in terms of EI for the beam shown in figure by Macaulay’s method. [07]

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Q.3

1. Differentiate between long and short column [03]
2. A masonry wall, 5 m high, is of solid rectangular section, 3 m wide and 1 m thick. A horizontal wind pressure of 1.2 kN/m² acts on the 3 m side. Find the maximum and minimum stress induced on the base, if unit weight of masonry is 22.4 kN/m³. [04]
3. A rectangular column section ABCD having AB = CD =400 mm and BC = AD =300 mm carries a compressive load 300 kN at corner B. Find the stress at each corner A, B, C and D and draw stress —distribution diagram for each side. [07]

Q.4

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1. Discuss Stability checks for a dam. [03]
2. A “T” section is having flange with 100 mm and total depth 80 mm. The thickness of flange and web is 10 mm. The length of column is 3 m and it is hinged at both ends. If E = 2.1 x 10⁵ N/mm², find Euler' buckling load. [04]
3. The external and internal diameter of a hollow cast iron column are 200 mm and 150 mm respectively. If column is hinged at both ends having a length of 4 m, determine the crippling load using Rankine formula. Take f_c = 550N/mm² and a = 1/1600. [07]

Q.5

1. Explain advantages of three hinged arch over beam. [03]

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2. Derive expression of critical load for column having both ends hinged [04]
3. A three hinged parabolic arch has a span of 20 m and a central rise of 5m. It carries a concentrated load of 120 kN at 15 m from left support and a uniformly distributed load 20 kN/m over left half portion. Determine the moment, thrust and radial shear at a section 4 m from left support. [07]

Q.6

1. Define Core of the Section. Derive and locate the same for a Circular cross section [03]
2. 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]

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3. A thin cylindrical shell of 600 mm diameter is 1500 mm long and 10 mm thick. It is subjected to internal pressure of 2 MPa. Calculate the change diameter, length and volume. Take E = 200 GPa and poisson’s ratio = 0.27. [07]

Q.7

1. State basic difference between fixed and simply supported beams. [03]
2. A fixed beam of 10 m span carries central point load of 100 kN. Find fixed end moment equation using area moment method. [04]
3. Using method of consistent deformation, analyze the propped cantilever beam shown in Figure, and draw shear force and bending moment diagrams. [07]

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Q.8

1. Define resilience, proof resilience and modulus of resilience. [03]
2. Derive formula for strain energy due to sudden loading. [04]
3. A steel bar 1 m length is subjected to a pull such that the maximum stress is equal to 150 N/mm². Its cross section is 200 mm² over length of 950 mm and for the middle 50 mm length the sectional area is 100 mm². If E = 2 x 10⁵ N/mm², Calculate strain energy stored in the bar. [07]

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