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Question 2 (60%)
The three-cell structure shown below uses stiffeners connected with shear panels. Note that the curved panel between stiffeners 1 and 3 is semi-circular. The structure is under the action of forces and moments as shown. Assume the shear panels do not carry any direct stress. The
material properties are: E = 72 GPa, G = 28 GPa, ty = 270 MPa, cy = 240 MPa, y = 170 MPa. The values of a, b, B, D, F are taken from
Question 0.
(a) Calculate the shear flow (N/mm) in each panel and determine the critical margin of safety in shear (not buckling or any other mode). (50%)

(b) Re-size the thickness (mm) of the shear panels to reduce the cross-sectional area to achieve the following design requirements (10%):

1. area fraction A/A0 less than 0.30
2. all margins of safety greater than or equal to 0.0
3. no panel thickness less than 0.2015 mm
The area fraction is calculated as A/A0, where A is the cross-sectional area of all panels combined, and A0 is the cross-sectional area of all panels using thicknesses as shown in the figure below.
In re-sizing the panels, you should consider that the beam cross-section dimensions and stiffener areas are fixed, and that only the panel thicknesses can be varied. You should only consider failure due to shear (not buckling or any other mode).

dimensions in mm areas in mm2
Booms 2, 4, 5: area = 50b
panel thickness (t)
t = 1.5 mm for all panels except
t1-3 = 5 mm
y
x
Booms 1, 3: area = 700a
L = B kN
D = D kN
MAC = F kN m
0.5D
0.5D
MAC
1
4
2
3
1500
I II III
750
5
200
0.3L
MTE
MTE = 0.2F kN m

Type Of Service: Math/Physic/Economic/Statistic Problems
Type Of Assignment: Calculation
Subject: Not defined
Pages / words: 2/550
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Academic Level: Junior(College 3rd year)
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Line Spacing: Double
Language style: AU English