According to promise, we will draw attention to those points which have been, and others which have not been, approximately found. Problems 1, 2, and 3 are theoretically correct. In Problems 4, 5, and 6, the use of the template will not be admitted for theoretical reasoning; but, if the construction is made with absolute accuracy, the result will be theoretically correct.
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The following are a few dimensions of locomotives made by well-known makers:—
| Baldwin. | Brooks. | |||||
| Standard Passenger Engine. | Mogul Engine. | Consolidation Engine. | Standard Passenger Engine. | Mogul Engine. | Consolidation Engine. | |
| Inches. | Inches. | Inches. | Inches. | Inches. | Inches | |
| Dimensions of cylinders | 17 × 24 | 18 × 24 | 20 × 24 | 18 × 24 | 18 × 24 | 20 × 24 |
| Length of steam-ports | 16 | 16 | 16 | 16 | 15 | 16 |
| Width of steam-ports | 1¼ | 1¼ | 1¼ | 1⅛ | 1⅛ | 1¼ |
| Width of exhaust-port | 2½ | 2½ | 2½ | 2½ | 2½ | 2½ |
| Throw of eccentrics | 5 | 5 | 5 | 5 | 4½ | 5 |
| Travel of valve | 5⅜ | 5⅜ | 5⅜ | 5 | 5 | 5½ |
| Outside lap of valve | ¾ to ⅞ | ¾ | ¾ | ¾ | ⅜ | 13/16 |
| Inside lap of valve | 1/32 to ⅛ | 1/32 | 1/32 | 1/64 | 1/64 | 1/64 |
| Distance between center of axle and center of rocker | 56 | 46 | 81 | 65 | 50 | 40 |
| Length of upper rocker-arm, | 10½ | 10½ | 10½ | 10½ | 9¾ | 10½ |
| Length of lower rocker-arm, | 9½ | 9½ | 9½ | 10½ | 8¾ | 9½ |
| Length of link | 55 | 46 | 81 | 65 | 50 | 40 |
| Length of link-hanger | 13½ | 15 | 15 | 13 | 13½ | 15¼ |
| Length of tumbling-shaft arm | 17 | 16 | 16 | 17⅜ | 18 | 16 |
| Length of connecting rod | 75 | 80 | 114½ | 96 | 84 | 77 |
| Distance between centers of eccentric-rod pins | 11-9/16 | 10½ | 10¾ | 11 | 11-3/16 | 11 |
| Suspension of link back of link-center | ⅜ | 11/16 | 1 | ⅜ | ⅜ | ⅜ |
| Lead of valve in full gear | 1/16 | 1/16 | 1/16 | 1/10 | 1/10 | 1/10 |
| Lead of valve in center | ¼ | 1¼ | ¼ | ⅜ | ⅜ | ⅜ |
DIMENSIONS OF LOCOMOTIVES—Continued.
| Grant. | Pittsburg. | |||||
| Standard Passenger Engine. | Mogul Engine. | Consolidation Engine. | Standard Passenger Engine. | Mogul Engine. | Consolidation Engine. | |
| Inches. | Inches. | Inches. | Inches. | Inches. | Inches | |
| Dimensions of cylinders | 17 × 24 | 18 × 24 | 20 × 24 | 17 × 24 | 18 × 24 | 20 × 24 |
| Length of steam-ports | 16 | 16 | 16 | 15 | 16 | 18 |
| Width of steam-ports | 1¼ | 1¼ | 1¼ | 1¼ | 1¼ | 1¼ |
| Width of exhaust-port | 2½ | 2½ | 2½ | 2½ | 2½ | 2½ |
| Throw of eccentrics | 5 | 5 | 5½ | 5 | 5 | 5 |
| Travel of valve | 5 | 5¼ | 5 | 5 | 15½ | 5-7/16 |
| Outside lap of valve | ¾ | ⅞ | ⅞ | ⅞ | ¾ | ¾ |
| Inside lap of valve | None. | 1/16 | 1/16 | ⅛ | 1/32 | 1/32 |
| Distance between center of axle and center of rocker | 68-11/16 | 40 | 80 | 56 | 48 | 28 |
| Length of upper rocker-arm, | 10¼ | 9⅞ | 9⅞ | 11 | 11¾ | 11¾ |
| Length of lower rocker-arm, | 10¼ | 8½ | 10½ | 11 | 10¾ | 10¾ |
| Radius of link | 63 | 39⅜ | 80 | 56 | 48 | 80 |
| Length of link-hanger | 12¾ | 14 | 12¾ | 14½ | 18¾ | 18½ |
| Length of tumbling-shaft arm | 17 | 16 | 14 | 18 | 15 | 15 |
| Length of connecting rod | 85 | 69½ | 112 | 88 | 85 | 114½ |
| Distance between centers of eccentric-rod pins | 12 | 12 | 12 | 12 | 12 | 12 |
| Suspension of link back of link-center | ⅜ | ⅜ | 1-3/16 | ⅜ | ⅜ | 9/16 |
| Lead of valve in full gear | 1/32 | 1/32 | 1/32 | 1/10 | 1/10 | 1/10 |
| Lead of valve in center | 5/16 | ⅜ | ¼ | 5/16 | 11/32 | ¼ |
DIMENSIONS OF LOCOMOTIVES—concluded.
| Schenectady. | Mason. | |||||
| Standard Passenger Engine. | Mogul Engine. | Consolidation Engine. | Standard Passenger Engine. | Mogul Engine. | ||
| Inches. | Inches. | Inches. | Inches. | Inches. | ||
| Dimensions of cylinders | 17 × 24 | 19 × 24 | 20 × 24 | 18 × 24 | 19 × 24 | |
| Length of steam-ports | 16 | 16 | 16 | 17 | 18 | |
| Width of steam-ports | 1¼ | 1¼ | 1¼ | 1¼ | 1¼ | |
| Width of exhaust-port | 2½ | 2¾ | 2¾ | 2½ | 2½ | |
| Throw of eccentrics | 5¼ | 5¼ | 5¼ | 5 | 5 | |
| Travel of valve | 5½ | 5½ | 5½ | 5 | 5 | |
| Outside lap of valve | ⅞ | ¾ | ¾ | ¾ | ¾ | |
| Inside lap of valve | 1/32 | 1/32 | 1/32 | 1/64 | 1/32 | |
| Distance between center of axle and center of rocker | 63 | 54 | 45 | 38 | 49½ | |
| Length of upper rocker-arm, | 11 | 10¾ | 11 | 9 | 9 | |
| Length of lower rocker-arm, | 10 | 9¾ | 10 | 9 | 9 | |
| Radius of link | 63 | 54 | 45 | 58 | 49½ | |
| Length of link-hanger | 13 | 16½ | 16½ | 10 | 10 | |
| Length of tumbling-shaft arm | 16 | 16 | 16 | 20 | 20 | |
| Length of connecting rod | 92½ | 90½ | 79½ | 91-3/16 | 84 | |
| Distance between centers of eccentric-rod pins | 12 | 12 | 12 | 12 | 12 | |
| Suspension of link back of | above | |||||
| link-center | ⅞ | ⅞ | ⅜ | 3⅜ | 3⅜ | |
| Lead of valve in full gear | 1/16 | 1/16 | 1/16 | 1/16 | 1/16 | |
| Lead of valve in center | 5/16 | 5/16 | 5/16 | 5/16 | 5/16 | |