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)

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)

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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