2. A 10-inch x 10-inch x 0.75-inch plate casting is produced with a steel alloy with p = 0.28 lb/in³ (= 7.75 g/cm³). Two third of the steel plate casting volume should be added more into the original one, and all molten metal should be poured in 10 seconds. The cylindrical, tapered sprue height is 4 inches. The sprue has a cylindrical base and is connected to two runners. Each runner with a square vertical cross-section is connected to two gates. The gate has a rectangular vertical cross-section, and its width is three times the height. 0.75 inch Cylindrical sprue base Steel alloy casting Note that drawings are not to actual scale or ratios. Square Rectangular runner gate Cylindrical riser The ratio of the cylindrical sprue base's horizontal cross-sectional area to the sum of two runners' vertical cross-sectional areas to the sum of four gates' vertical cross-sectional areas is 1:2:3.

Elements Of Electromagnetics
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2. A 10-inch x 10-inch x 0.75-inch plate casting is produced with a steel alloy with p = 0.28 lb/in³
(= 7.75 g/cm³). Two third of the steel plate casting volume should be added more into the
original one, and all molten metal should be poured in 10 seconds. The cylindrical, tapered
sprue height is 4 inches. The sprue has a cylindrical base and is connected to two runners. Each
runner with a square vertical cross-section is connected to two gates. The gate has a
rectangular vertical cross-section, and its width is three times the height.
0.75 inch
Cylindrical Square Rectangular
sprue base
gate
runner
Steel alloy casting
Note that drawings are not to actual scale or ratios.
Area of a sprue base's
horizontal cross-section
The ratio of the cylindrical sprue base's horizontal cross-sectional area to the sum of two
runners' vertical cross-sectional areas to the sum of four gates' vertical cross-sectional areas is
1:2:3.
The sum of areas of two
runners' vertical cross-sections
1
2
Note that drawings are not to actual scale or ratios.
Cylindrical
riser
The sum of areas of four
gates' vertical cross-sections
3
Transcribed Image Text:2. A 10-inch x 10-inch x 0.75-inch plate casting is produced with a steel alloy with p = 0.28 lb/in³ (= 7.75 g/cm³). Two third of the steel plate casting volume should be added more into the original one, and all molten metal should be poured in 10 seconds. The cylindrical, tapered sprue height is 4 inches. The sprue has a cylindrical base and is connected to two runners. Each runner with a square vertical cross-section is connected to two gates. The gate has a rectangular vertical cross-section, and its width is three times the height. 0.75 inch Cylindrical Square Rectangular sprue base gate runner Steel alloy casting Note that drawings are not to actual scale or ratios. Area of a sprue base's horizontal cross-section The ratio of the cylindrical sprue base's horizontal cross-sectional area to the sum of two runners' vertical cross-sectional areas to the sum of four gates' vertical cross-sectional areas is 1:2:3. The sum of areas of two runners' vertical cross-sections 1 2 Note that drawings are not to actual scale or ratios. Cylindrical riser The sum of areas of four gates' vertical cross-sections 3
The height of the cylindrical riser is 1.75 times its diameter, so it takes 30% longer for the riser
to solidify compared to the solidification time of the steel plate casting. The dynamic viscosity
of steel is 4 x 10-³ lb/ft/S (= 6 cP = 6 × 10-³ Pa-S), and the mold constant = 16 min/in². The
gravitational acceleration is 32.2 ft/s².
Determine the following, showing your work clearly:
(a) Based on the problem statement, sketch an isometric view of a pattern with all components,
such as sprue, sprue base, runners, gates, riser, and so on, required for this casting process.
Include a label for each component. Note that the sketch is not necessary to have actual scale
or ratios.
(b) The cylindrical sprue base's horizontal cross-section diameter. Note that your answer should
be in [in].
(c) The dimensions of each runner's vertical cross-section. Note that your answer should be in
[in].
(d) The dimensions of each gate's vertical cross-section. Note that your answer should be in
[in].
(e) The dimensions of the cylindrical riser. Note that your answer should be in [in].
Transcribed Image Text:The height of the cylindrical riser is 1.75 times its diameter, so it takes 30% longer for the riser to solidify compared to the solidification time of the steel plate casting. The dynamic viscosity of steel is 4 x 10-³ lb/ft/S (= 6 cP = 6 × 10-³ Pa-S), and the mold constant = 16 min/in². The gravitational acceleration is 32.2 ft/s². Determine the following, showing your work clearly: (a) Based on the problem statement, sketch an isometric view of a pattern with all components, such as sprue, sprue base, runners, gates, riser, and so on, required for this casting process. Include a label for each component. Note that the sketch is not necessary to have actual scale or ratios. (b) The cylindrical sprue base's horizontal cross-section diameter. Note that your answer should be in [in]. (c) The dimensions of each runner's vertical cross-section. Note that your answer should be in [in]. (d) The dimensions of each gate's vertical cross-section. Note that your answer should be in [in]. (e) The dimensions of the cylindrical riser. Note that your answer should be in [in].
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