Sprue Runner ts = B(4) A 4 1/4" 29/16" Casting -DIA 6" 4 311 2" 1) Apply Chvorinov's rule to estimate the solidification time of the casting alone (the circular part on the right) if the mould constant (B) =13 min/in² and n=2. Note V is the volume of the casting and A is its surface area: -R5" For simplicity, you may include the area in contact with the runner in your calculation of the surface area of the casting. 2) Calculate the solidification time of the short runner between the sprue and the casting. Ignore the area in contact with the sprue and the casting in determining its surface area. Can the melt in the sprue feed the casting during the entire time over which solidification takes place? 3) A riser is to be designed to feed the casting to eliminate shrinkage. Good practice dictates that the riser should take 1.5 times as long to solidify as the casting so that the mold can continue to be fed during solidification. Steel melt shrinks between 4% to 6% during solidification. Design a cylindrical riser that will have a long enough solidification time and sufficient volume to feed the casting. This is a trial and error process and you may want to use a spreadsheet to facilitate your selection of the height and radius. 4) The riser should be placed close to the thickest part of the casting. Draw a sketch of your final pattern showing the placement of the riser. Explain which parts of the pattern should detach to facilitate manufacture of a sand mold by hand.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Only answer question 4

Sprue
Runner
t₁ = B
G
A
29/16"
2"
4 1/4".
Casting
-DIA 6"
2"
2"
1) Apply Chvorinov's rule to estimate the solidification time of the casting alone (the
circular part on the right) if the mould constant (B) =13 min/in² and n=2. Note V is the
volume of the casting and A is its surface area:
-R5"
For simplicity, you may include the area in contact with the runner in your calculation of
the surface area of the casting.
2) Calculate the solidification time of the short runner between the sprue and the casting.
Ignore the area in contact with the sprue and the casting in determining its surface area.
Can the melt in the sprue feed the casting during the entire time over which solidification
takes place?
3) A riser is to be designed to feed the casting to eliminate shrinkage. Good practice
dictates that the riser should take 1.5 times as long to solidify as the casting so that the
mold can continue to be fed during solidification. Steel melt shrinks between 4% to 6%
during solidification. Design a cylindrical riser that will have a long enough solidification
time and sufficient volume to feed the casting. This is a trial and error process and you
may want to use a spreadsheet to facilitate your selection of the height and radius.
4) The riser should be placed close to the thickest part of the casting. Draw a sketch of your
final pattern showing the placement of the riser. Explain which parts of the pattern should
detach to facilitate manufacture of a sand mold by hand.
Transcribed Image Text:Sprue Runner t₁ = B G A 29/16" 2" 4 1/4". Casting -DIA 6" 2" 2" 1) Apply Chvorinov's rule to estimate the solidification time of the casting alone (the circular part on the right) if the mould constant (B) =13 min/in² and n=2. Note V is the volume of the casting and A is its surface area: -R5" For simplicity, you may include the area in contact with the runner in your calculation of the surface area of the casting. 2) Calculate the solidification time of the short runner between the sprue and the casting. Ignore the area in contact with the sprue and the casting in determining its surface area. Can the melt in the sprue feed the casting during the entire time over which solidification takes place? 3) A riser is to be designed to feed the casting to eliminate shrinkage. Good practice dictates that the riser should take 1.5 times as long to solidify as the casting so that the mold can continue to be fed during solidification. Steel melt shrinks between 4% to 6% during solidification. Design a cylindrical riser that will have a long enough solidification time and sufficient volume to feed the casting. This is a trial and error process and you may want to use a spreadsheet to facilitate your selection of the height and radius. 4) The riser should be placed close to the thickest part of the casting. Draw a sketch of your final pattern showing the placement of the riser. Explain which parts of the pattern should detach to facilitate manufacture of a sand mold by hand.
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