The room-temperature tensile strengths of pure lead and pure tin are 16.8 and 14.5 MPa, re...

The room-temperature tensile strengths of pure lead and pure tin are 16.8 and 14.5 MPa, respectively.

(a) Make a schematic graph of the room-temperature tensile strength versus composition for all compositions between pure lead and pure tin.

(Hint: You may want to consult Sections 10.10 and 10.11, as well as Equation 10.24 in Problem 10.67.)

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(b) On this same graph schematically plot tensile strength versus composition at 150°C.

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(c) Explain the shapes of these two curves, as well as any differences between them.

 (10.24)

Problem 10.67

Often, the properties of multiphase alloys may be approximated by the relationship

where E represents a specific property (modulus of elasticity, hardness, etc.), and V is the volume fraction. The subscripts α and β denote the existing phases or microconstituents. Employ this relationship to determine the approximate Brinell hardness of a 99.80 wt% Fe–0.20 wt% C alloy. Assume Brinell hardnesses of 80 and 280 for ferrite and pearlite, respectively, and that volume fractions may be approximated by mass fractions.