Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Winter 4th Sem 3140603 Structural Analysis I Previous Question Paper
Seat No.: ________
Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER?IV (NEW) EXAMINATION ? WINTER 2020
Subject Code:3140603 Date:11/02/2021
Subject Name:Structural Analysis-I
Time:02:30 PM TO 04:30 PM Total Marks:56
Instructions:
1. Attempt any FOUR questions out of EIGHT questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Differentiate Plane frame and Grid
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(b) State and explain principle of superposition.
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(c) Using Conjugate beam method, find the slope and deflection in terms of EI at
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free end of the cantilever beam shown in figure.
Q.2 (a) Explain Maxwell's theorem of reciprocal deflections.
03
(b) Differentiate Conjugate beam and real beam
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(c) Find slope at point A and B & deflection at point C in terms of EI for the beam
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shown in figure by Macaulay's method.
Q.3 (a) Differentiate between long and short column
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(b) A masonry wall, 5 m high, is of solid rectangular section, 3 m wide and 1 m
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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.
(c) A rectangular column section ABCD having AB = CD = 400 mm and BC =
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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.
Q.4 (a) Discuss Stability checks for a dam.
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(b) A "T" section is having flange with 100 mm and total depth 80 mm. The
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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.
(c) The external and internal diameter of a hollow cast iron column are 200 mm
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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 fs =
550N/mm2 and = 1/1600.
Q.5 (a) Explain advantages of three hinged arch over beam.
03
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(b) Derive Euler's formula of critical load for column having both ends hinged
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(c) A three hinged parabolic arch hinged at the support and at the crown has a
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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.
Q.6 (a) Define Core of the Section. Derive and locate the same for a Circular cross
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section
(b) A thin cylindrical shell of internal diameter d, wall thickness t and length I, is
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subjected to internal pressure p. Derive the expression for change in volume
of the cylinder
(c) A thin cylindrical shell of 600 mm diameter is 1500 mm long and 10 mm
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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.
Q.7 (a) State basic difference between fixed and simply supported beams.
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(b) A fixed beam of 10 m span carries central point load of 100 kN. Find fixed
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end moment equation using area moment method.
(c) Using method of consistent deformation, analyze the propped cantilever beam
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shown in Figure, and draw shear force and bending moment diagrams.
Q.8 (a) Define resilience, proof resilience and modulus of resilience.
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(b) Derive formula for strain energy due to sudden loading.
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(c) A steel bar 1 m length is subjected to a pull such that the maximum stress is
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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.
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This post was last modified on 04 March 2021