Q: Figure 2 shows a typical mast from a modern racing yacht. It is built in the fo of a thin-walled tube (hallow cylinder). To win long-haul ocean races, these yac need to have every advantage that high-performance materials can give, in ter of maximum stiffness (must not easily deflect), plus minimum weight as possit The following are the equations to use: 1(F13 8 = = 8 EI and 1 = ar³t , A = 2nrt %3D

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Q: Figure 2 shows a typical mast from a modern racing yacht. It is built in the form
of a thin-walled tube (hallow cylinder). To win long-haul ocean races, these yachts
need to have every advantage that high-performance materials can give, in terms
of maximum stiffness (must not easily deflect), plus minimum weight as possible.
The following are the equations to use:
1(F13
8 ==
8 EI
and I = ar³t, A = 2art
assume l and cross section are fixed but thickness t is free to change.
• Drive the performance index for this problem
• Use table 1 to select top three materials with the best performance index.
Figure 2
Table. 1 Data for Tube of Given Stiffness
p (Mg.m 3)
2.0
Material
E (GPa)
GFRP
12
Steel
7.8
200
Wood
0.6
12
Aluminum alloy
Titanium alloy
2.7
69
4.5
120
Transcribed Image Text:Q: Figure 2 shows a typical mast from a modern racing yacht. It is built in the form of a thin-walled tube (hallow cylinder). To win long-haul ocean races, these yachts need to have every advantage that high-performance materials can give, in terms of maximum stiffness (must not easily deflect), plus minimum weight as possible. The following are the equations to use: 1(F13 8 == 8 EI and I = ar³t, A = 2art assume l and cross section are fixed but thickness t is free to change. • Drive the performance index for this problem • Use table 1 to select top three materials with the best performance index. Figure 2 Table. 1 Data for Tube of Given Stiffness p (Mg.m 3) 2.0 Material E (GPa) GFRP 12 Steel 7.8 200 Wood 0.6 12 Aluminum alloy Titanium alloy 2.7 69 4.5 120
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