PROBLEM 2: A two cell wing box, whose geometrical and material properties are given in the table below, is shown in the figure. This two cell section has been idealized such that the booms resist all the direct stresses while the walls are effective only in shear. A bending moment Mx = 2000 Nm and a shear load Sy = 15000 N in the plane of web 52 are applied at the larger cross-section. The distance between sections is 1000 m. (a) Calculate the forces in the booms and the shear (b) Calculate and DRAW the shear flow distribution (c) Determine the angle of twist if the span of the wing at this section Wall Thickness Boom (mm) 1.0 1.0 2.0 2.0 12, 56 23, 45 34 25 Length (mm) 600 800 320 320 1,6 2,5 3,4 Boom Area (mm²) 300 400 400 Cell I II Cell Area (mm²) 100 000 260 000

PROBLEM 2: A two cell wing box, whose geometrical and material properties are given in the table below, is shown in the figure. This two cell section has been idealized such that the booms resist all the direct stresses while the walls are effective only in shear. A bending moment Mx = 2000 Nm and a shear load Sy = 15000 N in the plane of web 52 are applied at the larger cross-section. The distance between sections is 1000 m. (a) Calculate the forces in the booms and the shear (b) Calculate and DRAW the shear flow distribution (c) Determine the angle of twist if the span of the wing at this section Wall Thickness Boom (mm) 1.0 1.0 2.0 2.0 12, 56 23, 45 34 25 Length (mm) 600 800 320 320 1,6 2,5 3,4 Boom Area (mm²) 300 400 400 Cell I II Cell Area (mm²) 100 000 260 000

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

PROBLEM 2:
A two cell wing box, whose geometrical and material properties are given in the table below, is
shown in the figure. This two cell section has been idealized such that the booms resist all the direct
stresses while the walls are effective only in shear. A bending moment Mx = 2000 Nm and a shear
load Sy = 15000 N in the plane of web 52 are applied at the larger cross-section. The distance
between sections is 1000 m.
(a) Calculate the forces in the booms and the shear
(b) Calculate and DRAW the shear flow distribution
(c) Determine the angle of twist if the span of the wing at this section
Wall
Thickness
Boom
(mm)
1.0
1.0
2.0
2.0
1.5
12, 56
23, 45
34
25
16
320mm
Length
(mm)
600
800
320
320
210
3
180mm
1,6
2,5
3,4
I 200mm
790 mm
Boom Area
(mm²)
300
400
400
15
II
+
590 mm
11
Cell
I
II
6
Cell Area
(mm²)
100 000
260 000
120 mm
120 mm
210 mm
320mm

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