Asked by Jim
Can someone please help me with this problem?
In order to reduce the material cost, an engineer decides to use a hybrid beam instead of an all-carbon fiber beam. Both beams have the same overall dimensions with rectangular cross-sections. The hybrid beam contains carbon fibers in the outer layers and S-glass in the core. Costs of the materials are as follows:
Carbon/Epoxy: $ 25/lb
S-glass/Epoxy: $3.00/lb
The densities of carbon/epoxy and S-glass/epoxy composites are 1.70 g/cm3 (0.061 lb/in3) and 2.00 g/cm3 (0.072 lb/in3) respectively. The total carbon fiber thickness in the hybrid beam is equal to the core thickness. Compare the percentage weight penalty and cost savings for the hybrid beam over an all-carbon fiber beam. Do you expect the all-carbon and hybrid beams to have the same bending stiffness? If the answer is “no”, what can be done to make the two stiffness equal?
In order to reduce the material cost, an engineer decides to use a hybrid beam instead of an all-carbon fiber beam. Both beams have the same overall dimensions with rectangular cross-sections. The hybrid beam contains carbon fibers in the outer layers and S-glass in the core. Costs of the materials are as follows:
Carbon/Epoxy: $ 25/lb
S-glass/Epoxy: $3.00/lb
The densities of carbon/epoxy and S-glass/epoxy composites are 1.70 g/cm3 (0.061 lb/in3) and 2.00 g/cm3 (0.072 lb/in3) respectively. The total carbon fiber thickness in the hybrid beam is equal to the core thickness. Compare the percentage weight penalty and cost savings for the hybrid beam over an all-carbon fiber beam. Do you expect the all-carbon and hybrid beams to have the same bending stiffness? If the answer is “no”, what can be done to make the two stiffness equal?
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