A steel casting 1 in. X 4 in. X 12 in. is poured in 10 sec, the effective sprue height is 4 in., and the gating ratio is I : 2:3. The density of steel is 7.8 g/cm' (0.28 lb/in.) and the casting yield...

A steel casting 1 in. X 4 in. X 12 in. is poured in 10 sec, the effective sprue height is 4 in., and the gating ratio is I : 2:3. The density of steel is 7.8 g/cm' (0.28 lb/in.) and the casting yield is 60 percent. The tapered cylindrical sprue is connected to two square runners, and each runner is connected to two gates with width twice the height.

a. What is the amount of metal poured (in lb and in.')?

b. What is the pouring rate (in lb/sec and in.'/sec)?

c. What is the choke area (in in.2), and where is the choke?

d. What is the choke velocity (in in./sec)?

e. What are the dimensions of the sprue base, each runner, and each ingate?

(a. 22.4 and 80; b. 2.24 and 8; c. 0.144; d. 55.4; e. 0.43, 0.38 X 0.38, 0.23 X 0.46)