3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortex and a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and a Poisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107 kN. Use 9.8 m/s 2 for the acceleration due to gravity. Consider the cross-section shown (you can look these up). Pay attention to the coordinate system given in the drawing. a) what is the moment of inertia about y-axis in terms of the symbolic dimensions shown? b) what is the moment of inertia about z-axis in terms of the symbolic dimensions shown? c) what is the polar moment of inertia in terms of the symbolic dimensions shown (i.e. about the x-axis)? d) where is the centroid? e) what is the area? f) Calculate the shear modulus g) Compute each of these moments of inertia with the values b = 0.4 m, d =0.5 m , t =0.1 m.
3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortex and a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and a Poisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107 kN. Use 9.8 m/s 2 for the acceleration due to gravity. Consider the cross-section shown (you can look these up). Pay attention to the coordinate system given in the drawing. a) what is the moment of inertia about y-axis in terms of the symbolic dimensions shown? b) what is the moment of inertia about z-axis in terms of the symbolic dimensions shown? c) what is the polar moment of inertia in terms of the symbolic dimensions shown (i.e. about the x-axis)? d) where is the centroid? e) what is the area? f) Calculate the shear modulus g) Compute each of these moments of inertia with the values b = 0.4 m, d =0.5 m , t =0.1 m.
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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3) The force, FT = 1 kN, and moment, MT = 0.5 kN-m, at the tip are caused by a wing tip vortex
and a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and a
Poisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107
kN. Use 9.8 m/s 2 for the acceleration due to gravity.
Consider the cross-section shown (you can look these up). Pay attention to the coordinate system
given in the drawing.
a) what is the moment of inertia about y-axis in terms of the symbolic dimensions shown?
b) what is the moment of inertia about z-axis in terms of the symbolic dimensions shown?
c) what is the polar moment of inertia in terms of the symbolic dimensions shown (i.e.
about the x-axis)?
d) where is the centroid?
e) what is the area?
f) Calculate the shear modulus
g) Compute each of these moments of inertia with the values b = 0.4 m, d =0.5 m , t =0.1 m.
and a winglet, not shown. L = 12 m and the spar has an elastic modulus of E = 70 GPa and a
Poisson’s ratio of n = 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107
kN. Use 9.8 m/s 2 for the acceleration due to gravity.
Consider the cross-section shown (you can look these up). Pay attention to the coordinate system
given in the drawing.
a) what is the moment of inertia about y-axis in terms of the symbolic dimensions shown?
b) what is the moment of inertia about z-axis in terms of the symbolic dimensions shown?
c) what is the polar moment of inertia in terms of the symbolic dimensions shown (i.e.
about the x-axis)?
d) where is the centroid?
e) what is the area?
f) Calculate the shear modulus
g) Compute each of these moments of inertia with the values b = 0.4 m, d =0.5 m , t =0.1 m.
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