Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 4th Sem New 2140101 Aircraft Structures I Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2140101 Date:28/05/2019
Subject Name: Aircraft Structures I
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Define : Stress,Strain,Shear Modulus 03
(b) State and Explain ? Maxwell?s Reciprocal Theorem ? 04
(c) Define the following term : Strain Energy,Radious of gyration,moment of
inertia,resilience,proof resilience,Young?s Modulus
07
Q.2 (a) Explain with figure : Point load,moment,Uniformly varying load 03
(b) Enlist the criteria to identify the geometric instability of the structure. 04
(c) Analyse the plane truss shown in below Figure using Tension Coefficient
Method.
07
OR
(c) Define the terms: Static Indeterminacy and Kinematic Indeterminacy. Find the
S.I and K.I of a plane frame as shown in below Figure.
07
Q.3 (a) Explain the Principle of Super position with its statement. 03
(b) Define the term Effective Length of Column. Draw the probable sketch which
represent the buckled shape of the column with different support conditions.
04
(c) A beam AB of 4.0 m span is simply supported at the ends and is loaded as
shown in below figure. Determine (i) Deflection at C, (ii) Maximum deflection,
and (iii) Slope at the end A. Take the value of E = 200 x 10
6
kN/ ?? 2
, I = 20 x
10
? 6
?? 4
. Use Macaulay?s Method.
07
OR
Q.3 (a) Suggest different way of reducing the effect of buckling in long column. 03
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?IV(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2140101 Date:28/05/2019
Subject Name: Aircraft Structures I
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Define : Stress,Strain,Shear Modulus 03
(b) State and Explain ? Maxwell?s Reciprocal Theorem ? 04
(c) Define the following term : Strain Energy,Radious of gyration,moment of
inertia,resilience,proof resilience,Young?s Modulus
07
Q.2 (a) Explain with figure : Point load,moment,Uniformly varying load 03
(b) Enlist the criteria to identify the geometric instability of the structure. 04
(c) Analyse the plane truss shown in below Figure using Tension Coefficient
Method.
07
OR
(c) Define the terms: Static Indeterminacy and Kinematic Indeterminacy. Find the
S.I and K.I of a plane frame as shown in below Figure.
07
Q.3 (a) Explain the Principle of Super position with its statement. 03
(b) Define the term Effective Length of Column. Draw the probable sketch which
represent the buckled shape of the column with different support conditions.
04
(c) A beam AB of 4.0 m span is simply supported at the ends and is loaded as
shown in below figure. Determine (i) Deflection at C, (ii) Maximum deflection,
and (iii) Slope at the end A. Take the value of E = 200 x 10
6
kN/ ?? 2
, I = 20 x
10
? 6
?? 4
. Use Macaulay?s Method.
07
OR
Q.3 (a) Suggest different way of reducing the effect of buckling in long column. 03
2
(b) Enlist various methods to find slope and deflection. Mention the assumptions
required for deriving the differential equation.
04
(c) Derive euler?s buckling load for fixed free column. 07
Q.4 (a) Define: Time Period, Amplitude and Natural Frequency 03
(b) Differentiate between: Column and Strut 04
(c) Derive moment ? curvature relationship for deflection of a beam along with
suitable assumptions.
07
OR
Q.4 (a) Explain the principal of virtual work. 03
(b) Differentiate: Simple Truss, Compound Truss and Complex Truss with suitable
sketch.
04
(c) A strut 2.5 m long is 50 mm in diameter. One end of the strut is fixed while its
other end is hinged. Find the safe load for the member using Euler?s Theory,
allowing Factor of Safety as 3.5. Take E = 2.1 x 10
5
N/ ????
2
.
07
Q.5 (a) Explain Euler?s theory of long column along with suitable assumption. 03
(b) A circular ring of radius ?R? is oscillating about one point on its periphery when
it get slightly disturb form its original equilibrium position about that point.
Derive an equation of time period (T) for the oscillation of ring.
04
(c) A solid circular shaft is subjected to a bending moment of 40 kN-m and a torque
of 10 kN-m. Design the diameter of shaft according to maximum strain energy
theory. Take stress at elastic limit 200 N/ ????
2
and Factor of safety 2.
07
OR
Q.5 (a) Explain De?alembert Principal. 03
(b) A hollow rectangular column having outside dimensions 200 mm x 150 mm
and inside dimensions 150 mm x 100 mm. It?s length is 6.0 m and both ends are
fixed. Find the Euler?s Load if E = 2 x 10
5
N/ ????
2
.
04
(c) A solid circular shaft is subjected to a bending moment of 30 kN-m and a torque
of 15 kN-m. Design the diameter of the shaft according to maximum principle
stress theory. Take stress at elastic limit as 200 N/ ????
2
and Factor of safety as
2.
07
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This post was last modified on 20 February 2020