(USCS units) Determine the shrink rule to be used by pattern makers for magnesium. Using the shrinkage value in Table 10.1, express your answer in terms of decimal frac- tion inches of elongation per foot of length compared to a standard one-foot scale.

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The table provided is table 10.1, therefore table 10.1 and table 5.1 are the same table. Please show all your work. :D thank you
**Problem 10.9 (USCS units)**

Determine the shrink rule to be used by pattern makers for magnesium. Using the shrinkage value in Table 10.1, express your answer in terms of decimal fraction inches of elongation per foot of length compared to a standard one-foot scale.
Transcribed Image Text:**Problem 10.9 (USCS units)** Determine the shrink rule to be used by pattern makers for magnesium. Using the shrinkage value in Table 10.1, express your answer in terms of decimal fraction inches of elongation per foot of length compared to a standard one-foot scale.
**Table 5.1: Typical Linear Shrinkage Values for Different Casting Metals Due to Solid Thermal Contraction**

| Metal              | Linear Shrinkage |
|--------------------|------------------|
| Aluminum alloys    | 1.3%             |
| Brass, yellow      | 1.3% - 1.6%      |
| Cast iron, gray    | 0.8% - 1.3%      |
| Cast iron, white   | 2.1%             |
| Magnesium          | 2.1%             |
| Magnesium alloy    | 1.6%             |
| Nickel             | 2.1%             |
| Steel, carbon      | 1.6% - 2.1%      |
| Steel, chrome      | 2.1%             |
| Tin                | 2.1%             |
| Zinc               | 2.6%             |

*Compiled from [108].*

**Explanation:**

This table presents the typical linear shrinkage percentages for various metals and alloys when subjected to solid thermal contraction during casting processes. The shrinkage values represent the percentage reduction in linear dimensions post-solidification.

- **Aluminum alloys** exhibit a moderate shrinkage at 1.3%.
- **Brass, yellow**, and **Cast iron, gray** have variable shrinkage rates, indicating a range based on specific composition or conditions.
- **Cast iron, white**, **Magnesium**, **Nickel**, **Steel, chrome**, and **Tin** show a higher and consistent shrinkage value of 2.1% each.
- **Magnesium alloy** and **Steel, carbon** show slight variability with a maximum of 2.1%.
- **Zinc** has the highest shrinkage rate at 2.6%, reflecting its tendency for greater contraction upon solidification.
Transcribed Image Text:**Table 5.1: Typical Linear Shrinkage Values for Different Casting Metals Due to Solid Thermal Contraction** | Metal | Linear Shrinkage | |--------------------|------------------| | Aluminum alloys | 1.3% | | Brass, yellow | 1.3% - 1.6% | | Cast iron, gray | 0.8% - 1.3% | | Cast iron, white | 2.1% | | Magnesium | 2.1% | | Magnesium alloy | 1.6% | | Nickel | 2.1% | | Steel, carbon | 1.6% - 2.1% | | Steel, chrome | 2.1% | | Tin | 2.1% | | Zinc | 2.6% | *Compiled from [108].* **Explanation:** This table presents the typical linear shrinkage percentages for various metals and alloys when subjected to solid thermal contraction during casting processes. The shrinkage values represent the percentage reduction in linear dimensions post-solidification. - **Aluminum alloys** exhibit a moderate shrinkage at 1.3%. - **Brass, yellow**, and **Cast iron, gray** have variable shrinkage rates, indicating a range based on specific composition or conditions. - **Cast iron, white**, **Magnesium**, **Nickel**, **Steel, chrome**, and **Tin** show a higher and consistent shrinkage value of 2.1% each. - **Magnesium alloy** and **Steel, carbon** show slight variability with a maximum of 2.1%. - **Zinc** has the highest shrinkage rate at 2.6%, reflecting its tendency for greater contraction upon solidification.
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