If specimen Ais tested using Rockwell C scale showed a value of HRC 45 while Specimen B when tested using Rockwell A scale showed a value of HRA 71.5. Specimen Bwas a cylindrical specimen with 32 mm diameter considering the corrected hardness reading, which of the following statements is true? HARDENED STEEL AND HARD ALLOYS Tensike Vickers Knoop Brinel Streng th Micro- ficial Rockwelr Superficial CAD G 15-N 30-N 45-N HV HK HB KSI WMN Roundness Correction 150 kg 15 kg 30 kg 45 kg 3000 kg 10 mm bll 634 615 595 577 560 543 150 500 gm 100 kgkg Brale Brale Brale bal 59 80.7 69.9 58 80.1 69.2 57 79.6 68.5 56 79.0 67.7 55 78.5 66.9 78.0 66.1 53 77.4 65.4 52 76.8 64.6 51 76.3 63.8 50 75.9 63.1 49 75.2 62.1 48 74.7 61.4 47 74.1 60.8 46 73.6 60.0 45 73.1 59.2 44 72.5 58.5 43 72.0 57.7 42 71.5 56.9 41 70.9 56.2 40 70.4 55.4 39 60 1000 Ibs/ sq in 1000 kg v16N N N 10 kg and gm Brale Brale Brale 89.8 76.6 65.5 89.3 75.7 64.3 88.9 74.8 63.2 88.3 73.9 62.0 87.9 73.0 60.9 87.4 72.0 86.9 71.2 58.6 86.4 70.2 57.4 85.9 69.4 56.1 85.5 68.5 55.0 85.0 67.6 53.8 66.7 52.5 83.9 65.8 51.4 83.5 64.8 50.3 83.0 64.0 49.0 82.5 63.1 478 82.0 62.2 46.7 81.5 61.3 455 80.9 60.4 44.3 80.4 59.5 43.1 79.9 58.6 41.9 Diameter of Specimen - inches (mm) over 674 653 633 613 595 577 710 690 670 650 630 612 909 904 900 896 891 887 Observed Reading 7/8 3/4 (19) (22) 1 (25) (32) 1-1/4 1-1/2 (38) 1/8 1/4 3/8 1/2 (6.4) (10) (13) 5/8 (16) 313 301 292 NA 90 85 80 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 525 512 496 481 469 455 283 273 264 594 576 558 542 526 510 75 70 65 1.0 1.0 1.5 0.5 1.0 1.0 0.5 0.5 1.0 0.5 0.5 0.5 0.5 5 0.5 0.5 0.5 0.5 0.5 560 544 528 879 874 0.5 0.5 513 498 484 255 246 238 86 60 55 50 1.5 2.0 2.5 1.0 1.5 2.0 1.0 1.0 1.5 0.5 1.0 1.0 0.5 0.5 1.0 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 471 458 446 434 423 412 495 480 466 452 438 426 443 432 421 409 400 390 381 371 362 856 851 847 842 837 832 0.5 221 215 208 201 194 188 182 177 45 40 35 3.0 3.5 4.0 2.0 2.5 3.0 1.5 2.0 2.0 1.0 1.5 1.5 1.0 1.0 1.5 1.0 1.0 1.0 0.5 1.0 1.0 0.5 0.5 0.5 0.5 0.5 0.5 30 25 5.0 5.5 6.0 3.5 4.0 4.5 2.5 3.0 3.5 2.0 2.5 2.5 1.5 2.0 2.0 1.5 1.5 1.5 1.0 1.0 1.5 1.0 1.0 1.0 0.5 1.0 1.0 402 392 382 414 402 391 69.9 54.6 A. A is harder than B B.B is harder than A C. There is no way to compare hardness values D. Both A and B have the same hardness

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### Analysis of Hardness Test Results

**Problem Statement:**

If specimen A is tested using the Rockwell C scale, it shows a value of HRC 45, while specimen B, tested using the Rockwell A scale, shows a value of HRA 71.5. Specimen B is a cylindrical specimen with a 32 mm diameter. Considering the corrected hardness reading, which of the following statements is true?

- A. A is harder than B
- B. B is harder than A
- C. There is no way to compare hardness values
- D. Both A and B have the same hardness

---

**Roundness Correction Table:**

The table indicates corrections based on the observed reading and diameter of the specimen. Values are provided for diameters in inches and millimeters:

- For an observed reading of **95 and 90**, corrections vary across diameters.
- Corrections become negligible (0.0) as the observed hardness decreases to **40** and below.

For a 32 mm diameter, specimen B falls under the 1-1/4 inch (32) category.

---

**Hardened Steel and Hard Alloys Chart:**

This chart contains hardness values across different scales and methods:

- **Rockwell C (HRC)** and **Rockwell A (HRA)** are among the listed scales.
- Other scales include Superficial, Vickers (HV), Knoop (HK), Brinell (HB), along with tensile strength (KSI and WMN).

Values for specific hardness readings (e.g., HRC 45 and HRA 71.5) can be cross-referenced here for comparison.

---

**Conclusion:**

By examining the corrected hardness and cross-referencing values across scales, the comparative hardness can be determined. Based on the given details and using the tables provided, one can ascertain which specimen is harder according to the given conditions.
Transcribed Image Text:### Analysis of Hardness Test Results **Problem Statement:** If specimen A is tested using the Rockwell C scale, it shows a value of HRC 45, while specimen B, tested using the Rockwell A scale, shows a value of HRA 71.5. Specimen B is a cylindrical specimen with a 32 mm diameter. Considering the corrected hardness reading, which of the following statements is true? - A. A is harder than B - B. B is harder than A - C. There is no way to compare hardness values - D. Both A and B have the same hardness --- **Roundness Correction Table:** The table indicates corrections based on the observed reading and diameter of the specimen. Values are provided for diameters in inches and millimeters: - For an observed reading of **95 and 90**, corrections vary across diameters. - Corrections become negligible (0.0) as the observed hardness decreases to **40** and below. For a 32 mm diameter, specimen B falls under the 1-1/4 inch (32) category. --- **Hardened Steel and Hard Alloys Chart:** This chart contains hardness values across different scales and methods: - **Rockwell C (HRC)** and **Rockwell A (HRA)** are among the listed scales. - Other scales include Superficial, Vickers (HV), Knoop (HK), Brinell (HB), along with tensile strength (KSI and WMN). Values for specific hardness readings (e.g., HRC 45 and HRA 71.5) can be cross-referenced here for comparison. --- **Conclusion:** By examining the corrected hardness and cross-referencing values across scales, the comparative hardness can be determined. Based on the given details and using the tables provided, one can ascertain which specimen is harder according to the given conditions.
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