GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-IV (NEW) EXAMINATION - WINTER 2018
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Subject Code:2140101 Date:17/11/2018
Subject Name:Aircraft Structures 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) Conjugate beam method is a modified form of — 01
(b) A truss is considered as deficient or unstable truss if 01
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(c) In actual structure, if the support is fixed then it is modified to 01 in conjugate beam.
(d) For a determinate beam, the value of S.I. is always 01
(e) The total degree of freedom at each joint in case of plane truss is 01
(f) The strain energy due to sudden load is ——— times the strain 01 energy due to gradual load.
(g) The elastic energy stored due to shear loading is known as — 01
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(h) The axis of the loaded beam that bends in a curve is known as 01
(i) The number of vibration cycles completed in one second is referred as 01
(J) The graphical integration of M/EI diagram between any two points on 01 elastic curve on a beam will give
(k) The ratio of effective length of column to radius of gyration is referred 01 as
(l) The differential equation of the elastic curve is given by ——— 01
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(m) The angle through which the cross-section rotates with respect to the 01 original position is called as ——_
(n) For the statically determinate structure, the value of S.I. is always 01
Q.2
(a) State the Principal of Virtual Work. 03
(b) Explain Euler’s theory of long column along with suitable assumption. 04
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(c) Define the terms: 1-) Static Indeterminacy 2-) Kinematic 07 Indeterminacy. Find the S.I and K.I of a plane frame as shown in fig.-1.
OR
(c) State and prove “Maxwell’s Reciprocal Theorem”. 07
Q.3
(a) Explain Simple Harmonic Motion for the vibratory body. 03
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(b) Enlist the criteria to identify the geometric instability of the structure. 04
(c) An I-Section has 360 mm depth and 120 mm width. Thickness of flange 07 and web is 10 mm. It is used as a column with one end fixed and other hinged using Euler’s Formula. Determine Safe Load using FOS = 3 and length of column = 6.0 m. Take E =2 x 105 N/mm2.
OR
Q.3
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(a) Define the terms: Strain Energy, Proof Resilience and Modulus of 03 Resilience.
(b) State the limitations of Euler’s Theory of Column Buckling. 04
(c) A bar 40 mm in diameter is 4 m long. An axial load of 120 kN 07 is suddenly applied to it. Find maximum instantaneous stress, maximum instantaneous elongation and the work stored in the bar. Take E =2 x 105N/mm2.
Q.4
(a) Define: Time Period. Amplitude and Natural Frequency 03
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(b) Enlist various methods to find slope and deflection. Mention the 04 assumptions required for deriving the differential equation.
(c) A mass of 25 kg is dropped on to a collar at the end of a vertical bar 07 2 m long and 25 mm in diameter, from a height of 100 mm. Calculate the maximum instantaneous stresses and extension produce in the section of bar. E =200 kN/mm2.
OR
Q.4
(a) Explain the Principle of Super position with its statement. 03
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(b) Define the term Effective Length of Column. Draw the probable sketch 04 which represent the buckled shape of the column with different support conditions.
(c) Determine the position and value of maximum deflection in the beam 07 as shown in fig.-2 using Macaulay’s Method. Take EI as constant.
Q.5
(a) Define: Simple Truss. Compound Truss and Complex Truss. 03
(b) Explain D"Alembert’s Principle. 04
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(c) Determine the maximum deflection in a simply supported beam as 07 shown in fig-3 using Double Integration Method. Take E =200 kN/mm2 and I = 108 mm4.
OR
Q.5
(a) Define: Crushing Load, Slenderness Ratio and Radius of Gyration. 03
(b) Derive moment — curvature relationship for deflection of a beam along 04 with suitable assumptions.
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(c) Find the internal forces in truss members for a plane truss as shown in 07 fig. - 4 using Method of Tension Co-efficient.
Figure-1
Figure-4
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