The figure below shows an aircraft fighter. Each wing of the aircraft may be modelled as a clamped beam mounted with two lumped masses - one at the centre (representing the wing mass) and the other at the tip (representing the missile mass). The equivalent model shown in the figure is used to estimate the first two natural frequencies of the wing and therefore the fuselage can be assumed rigid. Assume m1 = 1000 kg, m2 = 8000 kg and bending stiffnesses of the beams are k = 2EI Assuming w - w? = 24000 (rad/s)? and l = 6.39 m, the flexural rigidity of the wing, EI, is approximately: x, (t) x2(t) EI El m, m, 12 1/2 390 MN.m2 130 MN.m? 260 MN.m2 195 MN.m2 65 MN.m2 O O O O O
The figure below shows an aircraft fighter. Each wing of the aircraft may be modelled as a clamped beam mounted with two lumped masses - one at the centre (representing the wing mass) and the other at the tip (representing the missile mass). The equivalent model shown in the figure is used to estimate the first two natural frequencies of the wing and therefore the fuselage can be assumed rigid. Assume m1 = 1000 kg, m2 = 8000 kg and bending stiffnesses of the beams are k = 2EI Assuming w - w? = 24000 (rad/s)? and l = 6.39 m, the flexural rigidity of the wing, EI, is approximately: x, (t) x2(t) EI El m, m, 12 1/2 390 MN.m2 130 MN.m? 260 MN.m2 195 MN.m2 65 MN.m2 O O O O O
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![The figure below shows an aircraft fighter. Each wing of the aircraft may be modelled as a clamped beam mounted with two lumped masses - one at the centre (representing
the wing mass) and the other at the tip (representing the missile mass). The equivalent model shown in the figure is used to estimate the first two natural frequencies of the
wing and therefore the fuselage can be assumed rigid. Assume mi = 1000 kg, m2 = 8000 kg and bending stiffnesses of the beams are k =
241 . Assuming wi - wi
24000 (rad/s)2 and l = 6.39 m, the flexural rigidity of the wing, EI, is approximately:
x, (t)
x2(t)
EI
El
m,
(m,
12
1/2
390 MN.m2
130 MN.m2
260 MN.m2
195 MN.m?
65 MN.m2
O O O O O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f1f2274-73d0-4bdd-88c8-8a6b8b5bb613%2F61559d29-72bb-4a62-b059-edf4a5781ecd%2F489ik8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The figure below shows an aircraft fighter. Each wing of the aircraft may be modelled as a clamped beam mounted with two lumped masses - one at the centre (representing
the wing mass) and the other at the tip (representing the missile mass). The equivalent model shown in the figure is used to estimate the first two natural frequencies of the
wing and therefore the fuselage can be assumed rigid. Assume mi = 1000 kg, m2 = 8000 kg and bending stiffnesses of the beams are k =
241 . Assuming wi - wi
24000 (rad/s)2 and l = 6.39 m, the flexural rigidity of the wing, EI, is approximately:
x, (t)
x2(t)
EI
El
m,
(m,
12
1/2
390 MN.m2
130 MN.m2
260 MN.m2
195 MN.m?
65 MN.m2
O O O O O
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