KXEX1110: Basic Materials Science
Lecturer: Dr. Wong Yew Hoong
Tutorial 9:
Polymer Structures
Characteristics, Applications and Processing of Polymers
1. A nylon 6,6 has an average molecular weight of 12,000 g/mol. Calculate the average
degree of polymerization. M.W. = 226 g/mol.
2. Calculate the average molecular weight Mm for a thermoplastic that has the following
weight fractions fi for the molecular weight ranges listed:
3. How much sulfur must be added to 70 g of butadiene rubber to cross-link 3.0 percent of
the mers? (Assume all sulfur is used to cross-link the mers and that only one sulfur atom is
involved in each cross-linking bond.)
4. An ABS copolymer consists of 25 wt % polyacrylonitrile, 30 wt % polybutadiene, and 45
wt % polystyrene. Calculate the mole fraction of each component in this material.
5. For a fiber reinforced composite, the efficiency of reinforcement, η is dependent on fiber
length, l according to
where x represents the length of the fiber at each end that does not contribute to the load
transfer. Make a plot of η versus l to l = 50 mm assuming that x = 1.25 mm. What length
is required for 0.90 efficiency of reinforcement?
6. How does the amount and arrangement of the glass fibers in fiberglass reinforced plastics
affect their strength?
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KXEX1110: Basic Materials Science
Lecturer: Dr. Wong Yew Hoong
7. A unidirectional carbon-fiber-epoxy-resin composite contains 68 percent by volume of
carbon fiber and 32 percent epoxy resin. The density of the carbon fiber is 1.79 g/cm 3 and
that of the epoxy resin is 1.20 g/cm3. (a) What are the weight percentages of carbon fibers
and epoxy resin in the composite? (b) What is the average density of the composite?
8. Calculate the tensile modulus of elasticity of a unidirectional carbon-fiber-reinforced-
plastic composite material that contains 64 percent by volume of carbon fibers and is
stressed under isostrain conditions. The carbon fibers have a tensile modulus of elasticity
of 54.0 × 106 psi and the epoxy matrix a tensile modulus of elasticity of 0.530 × 106 psi.
9. If the tensile strength of the carbon fibers of the 64 percent carbon-fiber-epoxy composite
material of Prob. 12.23 is 0.31 × 106 psi and that of the epoxy resin is 9.20 × 103 psi,
calculate the strength of the composite material in psi. What fraction of the load is carried
by the carbon fibers?
10. Is it possible to produce a continuous and oriented aramid fiber – epoxy matrix composite
having longitudinal and transverse moduli of elasticity of 5 x 106 psi and 7.5 x 105 psi
respectively? Why or why not? Assume that the elastic modulus for epoxy is 4.93 x 10 5
psi.
11. Explain why thermosetting platics have in general high strengths and low ductilities.
12. How does increasing the temperature of thermoplastics affect their strength? What
changes in bonding structure occur as thermoplastics are heated?