Download PTU B.Tech 2020 March Aero 4th Sem ANE 206 Aircraft Structures ? I Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) ) BE/BTech Aero (Aerospace-Engg) 2020 March 4th Sem ANE 206 Aircraft Structures ? I Previous Question Paper

1 | M-60514 (S2)-2168
Roll No. Total No. of Pages : 03
Total No. of Questions : 09
B.Tech.(ANE) (Sem.?4)
AIRCRAFT STRUCTURES ? I
Subject Code : ANE-206
M.Code : 60514
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION?A
1. Write briefly :
a) What is Stress tensor? Why it is called tensor? Draw a typical three dimensional
element and indicate state of stress in their positive senses.
b) What is St. Venant Principle?
c) Define factor of Safety w.r.t design of aircraft structures.
d) Define Shear Center. Show with the help of neat diagram, shear center of the channel
section.
e) State Principle of Virtual work done.
f) Write the six equations of strain compatibility.
g) Write a short note on behavior of riveted joints.
h) Ground Loads during landing of an aircraft.
i) Investigate the relationship of stress and strain in a three-dimensional, linearly elastic,
isotropic body.
j) State Maxwell?s reciprocal theorem. State the difference between inverse and semi-
inverse method.
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1 | M-60514 (S2)-2168
Roll No. Total No. of Pages : 03
Total No. of Questions : 09
B.Tech.(ANE) (Sem.?4)
AIRCRAFT STRUCTURES ? I
Subject Code : ANE-206
M.Code : 60514
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION?A
1. Write briefly :
a) What is Stress tensor? Why it is called tensor? Draw a typical three dimensional
element and indicate state of stress in their positive senses.
b) What is St. Venant Principle?
c) Define factor of Safety w.r.t design of aircraft structures.
d) Define Shear Center. Show with the help of neat diagram, shear center of the channel
section.
e) State Principle of Virtual work done.
f) Write the six equations of strain compatibility.
g) Write a short note on behavior of riveted joints.
h) Ground Loads during landing of an aircraft.
i) Investigate the relationship of stress and strain in a three-dimensional, linearly elastic,
isotropic body.
j) State Maxwell?s reciprocal theorem. State the difference between inverse and semi-
inverse method.
2 | M-60514 (S2)-2168
SECTION-B
2. Explain load factor-velocity diagram with neat sketch. Also, briefly explain functions of
structural components of an aircraft.
3. What do you understand by an Airy stress function in two dimensions? A beam of length
I, with a thin rectangular cross-section, is built-in at the end x =0 and loaded at the tip by
a vertical force P (Figure. 1). Show that the stress distribution, as calculated by simple
beam theory, can be represented by the expression
3 3
Ay By x Cyx ? ? ? ?
as an Airy stress function and determine the coefficients A, B and C.

Fig. 1
4. Consider a thin-walled tube with the cross-section shown in Figure. 2. The wall thickness
is t=0.005m and the average radius is 0.2025m. Also consider a same tube with cut open
as shown in Figure 2(b). Compare the torsional rigidities of these two tubes. Comment on
your answer.

Fig. 2
5. Direct stresses of 160 N/mm
2
(tension) and 120 N/mm
2
(compression) are applied at a
particular point in an elastic material on two mutually perpendicular planes. The shear
stress, ?
xy
is ?113N/mm
2
. Determine also the value of the other principal stress and the
maximum value of shear stress at the point using Mohr?s circle. Also, evaluate the
principal planes and planes of maximum and minimum shear stress. (Graph Paper is
required.)
6. Determine the rate of twist and the stress distribution in a circular section bar of radius R
which is subjected to equal and opposite torques T at each of its free ends. Assume if
anything is required.
x
d
P
y
d
t
l
0.2m
0.005m
(a) (b)
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1 | M-60514 (S2)-2168
Roll No. Total No. of Pages : 03
Total No. of Questions : 09
B.Tech.(ANE) (Sem.?4)
AIRCRAFT STRUCTURES ? I
Subject Code : ANE-206
M.Code : 60514
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION?A
1. Write briefly :
a) What is Stress tensor? Why it is called tensor? Draw a typical three dimensional
element and indicate state of stress in their positive senses.
b) What is St. Venant Principle?
c) Define factor of Safety w.r.t design of aircraft structures.
d) Define Shear Center. Show with the help of neat diagram, shear center of the channel
section.
e) State Principle of Virtual work done.
f) Write the six equations of strain compatibility.
g) Write a short note on behavior of riveted joints.
h) Ground Loads during landing of an aircraft.
i) Investigate the relationship of stress and strain in a three-dimensional, linearly elastic,
isotropic body.
j) State Maxwell?s reciprocal theorem. State the difference between inverse and semi-
inverse method.
2 | M-60514 (S2)-2168
SECTION-B
2. Explain load factor-velocity diagram with neat sketch. Also, briefly explain functions of
structural components of an aircraft.
3. What do you understand by an Airy stress function in two dimensions? A beam of length
I, with a thin rectangular cross-section, is built-in at the end x =0 and loaded at the tip by
a vertical force P (Figure. 1). Show that the stress distribution, as calculated by simple
beam theory, can be represented by the expression
3 3
Ay By x Cyx ? ? ? ?
as an Airy stress function and determine the coefficients A, B and C.

Fig. 1
4. Consider a thin-walled tube with the cross-section shown in Figure. 2. The wall thickness
is t=0.005m and the average radius is 0.2025m. Also consider a same tube with cut open
as shown in Figure 2(b). Compare the torsional rigidities of these two tubes. Comment on
your answer.

Fig. 2
5. Direct stresses of 160 N/mm
2
(tension) and 120 N/mm
2
(compression) are applied at a
particular point in an elastic material on two mutually perpendicular planes. The shear
stress, ?
xy
is ?113N/mm
2
. Determine also the value of the other principal stress and the
maximum value of shear stress at the point using Mohr?s circle. Also, evaluate the
principal planes and planes of maximum and minimum shear stress. (Graph Paper is
required.)
6. Determine the rate of twist and the stress distribution in a circular section bar of radius R
which is subjected to equal and opposite torques T at each of its free ends. Assume if
anything is required.
x
d
P
y
d
t
l
0.2m
0.005m
(a) (b)
3 | M-60514 (S2)-2168
SECTION-C
7. State with neat diagram flexural formula of the beam. The cross-section of a beam has the
dimensions shown in Figure. 3. If the beam is subjected to a negative bending moment of
100 kNm applied in a vertical plane, determine the distribution of direct stress through
the depth of the section.

Fig. 3
8. Determine the deflection curve and the deflection of the free end of the cantilever shown
in Figure. 4. The flexural rigidity of the cantilever is EI.

Fig. 4
9. What are statically indeterminate trusses? Analyze the truss shown in Figure. 5 using the
method of virtual work.

Fig.5

NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
300mm
C
25mm
y
20mm
200mm
x
E
L
W
4m
A B
3m
C D 4kN
EI
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This post was last modified on 21 March 2020