by Marshall Gross
Table of Contents
1. Introduction to a Simple Roof, 5
- Span and total run, 8
- Total rise, 9
- Unit run and unit rise, 10
- Two types of roof framing, 13
- Allowable span, 14
- Common rafter roof angle chart, 18
2. Cutting Common Rafters, 20
- Finding unit length, 22
- The model rafter plate, 26
- Mathematical length: framing square method, 26
- Layout lines for the common rafter, 32
- Methods of computation, 46
- First ancient and true method, 47
- Second ancient and true method, 56
3. Getting the Ridge Length Right, 62
- Mathematical ridge length, 63
- Double and single cheek cuts, 65
- Practice in framing points, 71
- Drawing elevations, 92
- Actual ridge height, 94
4. Cutting Hip Rafters, 97
- Unit run of the hip, 97
- Hip shortening and setback, 99
- Finding the length of hip rafters, 103
- Finding the hip rafter with secant, 113
- Building a model hip roof, 115
- Hip and valley rafter roof angle chart, 140
5. Valley Rafters are Easy, 141
- An equal span addition, 141
- The valley rafter, 145
- A narrow span addition, 153
- The supporting valley rafter, 154
- The shortened valley rafter, 156
6. Jack Rafters are Easy Too, 164
- Hip Jack rafters, 165
- Valley Jack Rafter, 173
- Hip-Valley Jack Cripple Jacks, 175
- Valley cripple Jacks, 177
7. From Dutch to California, 180
- The Dutch, 180
- The Tudor peak, 189
- The blind valley, 201
- The shed roof, 214
- Gable end framing, 216
- The barge board and the overhang, 221
- The gambrel roof, 226
- The California, 233
8. Math for Non-Centered Ridges, 240
- Defining the problem, 240
- Solving by the layout method, 243
- Solving by the math method, 245
- Framing at the ridge, 247
9. Framing a Gazebo, 249
- Math for a regular polygon, 249
- The octagon and the square, 267
- Drafting an octagon roof, 283
- Cutting the octagon hips, 290
- Octagon roof angle chart, 308
10. A Simple Irregular Roof, 309
- Drafting the model and scaling measurements, 310
- Layout with mathematical calculations, 331
- Cutting and framing the irregular model, 351
11. A Complex Irregular Roof, 362
- Design, 362
- Drafting the plan view, 365
- Establishing the section lines, 367
- The sectional views, 372
12. Irregular Roof Problems, 384
- The unequal pitch/equal ridge roof, 384
- The irregular California, 397
- The shed dormer model, 403
- The hip or gable dormer, 408
Appendix, 409
- Framing square scales, 409
- Roof cutter's geometry and trigonometry, 416
- Pitch wall framing, 421
- Crickets and hog valleys,425
- Calculatingroofareafordifferentpitches,427
- Cutting roof sheathing, 429
- Ellipses for roof framing, 431
- Steps to calculate an irregular roof, 436
Answers, 447
- Chapter 1, 447
- Chapter 2, 448
- Chapter 3, 451
- Chapter 4, 462
- Chapter 5, 464
- Chapter 6, 465
- Chapter 8, 468
- Chapter 10, 470
Index, 472
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