Question

Two eylindrical rods of pewter were previously undeformed and will be cold worked by drawing. Specification for each cylindrical rod are shown in Table 1 below. Determine the final diameter, X of Rod B that achieved the same cold-worked percent and same hardness with Rod A. (Please show the cold-worked calculation) Table 1: Specification for different cylindrical rod nitial Diameter (mm) Final Diameter (mm) Specification Rod A Rod B 32 (12 Marks)

Answer 1

We have same hardness and same cold-worked percent for both the rods implies the diameter change will be equal for both the rods since there are no other factors that differ their change

Hence the diameter of rod A is directly proportional to the diameter of rod B

implies their initial diameter to final diameter ratio is equal

implies

(initial diameter of rod A)/(final diamter of rod A)

= (initial diamter of rod B)/(final diameter of rod B)

implies 32/22 = 24/x

On cross multiplying we get

32*x = 24*22

32x = 528

x = 528/32

x = 16.5

Therefore final diameter of rod B = 16.5 mm