10.13 A cantilever beam is loaded with force P at its free end to produce a deflection APL/3EI. The beam has a circular cross section, I r'/4. Develop a figure of merit for selecting a material that minimizes the weight of a beam for a given stiffness (PI), By using the following material properties, select the best material (a) on the basis of performance and (b) on the basis of cost and performance. %3D %3D E Material GNM2 ksi P, Mgm Approx. Cost, $/ton (1980) Steel 200 29 x 10' 7.8 450 Wood 9-16 1.7 x 10' 0.4-0.8 450 Concrete 50 7.3 x 10' 2.4-2.8 300 Aluminum 69 10 x 10 2.7 2,000 Carbon-fiber- 70-200 15 x 10' 1.5-1.6 200,000 reinforced plastic (CFRP)

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10.13 A cantilever beam is loaded with force P at its free end to produce a deflection
CHAPTER 10: Materials Selection
391
S- PL/3EI. The beam has a circular cross section, I = ar'/4. Develop a figure of
nerit for selecting a material that minimizes the weight of a beam for a given stiffness
(PIS), By using the following material properties, select the best material (a) on the
basis of performance and (b) on the basis of cost and performance.
%3D
Material
GNM2
ksi
P, Mgm Approx. Cost, $/ton (1980)
Steel
200
29 x 10
7.8
450
Wood
9-16
1.7 x 10'
0.4-0.8
450
7.3 x 10'
10 x 10
15 x 10
Concrete
50
2.4-2.8
300
Aluminum
69
2.7
2,000
Carbon-fiber-
70-200
1.5-1.6
200,000
reinforced plastic
(CFRP)
Transcribed Image Text:10.13 A cantilever beam is loaded with force P at its free end to produce a deflection CHAPTER 10: Materials Selection 391 S- PL/3EI. The beam has a circular cross section, I = ar'/4. Develop a figure of nerit for selecting a material that minimizes the weight of a beam for a given stiffness (PIS), By using the following material properties, select the best material (a) on the basis of performance and (b) on the basis of cost and performance. %3D Material GNM2 ksi P, Mgm Approx. Cost, $/ton (1980) Steel 200 29 x 10 7.8 450 Wood 9-16 1.7 x 10' 0.4-0.8 450 7.3 x 10' 10 x 10 15 x 10 Concrete 50 2.4-2.8 300 Aluminum 69 2.7 2,000 Carbon-fiber- 70-200 1.5-1.6 200,000 reinforced plastic (CFRP)
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