Fig. 62. - Diagram Showing how Method Presented in Fig. 58 may be Varied for Roofs of Unequal Pitches.

In Fig. 62 is shown the manner in which the method represented in Fig. 58 may be varied to meet the requirements of roofs of unequal pitches. Draw the line A B, in length equal to the runs of the common rafters on both the long and short sides of the hips. Divide the line A B so that A C will represent the run of the common rafter on the long side of the hip, and C B the run of the common rafter on the short side. From C erect a perpendicular line, extending it indefinitely. Set off on the perpendicular line the rise of the common rafter C D. Connect D with A and with B for the lengths of the common rafters. A bevel set at D on line A D will give the top cut of common rafter on the long side of hip and at A the bottom cut. A bevel set at D on line B D will give the top cut of common rafter on the short side of hip and at B the bottom cut. Next set off on the perpendicular line the length of the common rafter on the short side of the hip C E. Connect E with A for the length of the hip and position for finding the length and bevel of jacks on the short side of the hip. A bevel set in the angle where they join the hip line A E will give the bevel across the back. The plumb cut or down bevel is the same as that of the common rafter on the short side of the hip shown at D on the line D B. Next set off on perpendicular the length of common rafter on the long side of hip C F; connect F with B for the hip and position for finding the length and bevel of jacks on the long side of the hip. A bevel set in the angle where they join the hip line F B will give the bevel across the back. The plumb cut or down bevel is the same as that of the common rafter on the long side of the hip, shown at D on the line A D. To find the cut of the hip rafter set off on the perpendicular the run of the common rafter on the short side of hip C a. Connect a with A for the run of the hip. Square up the rise of the hip a H and connect H with A for the hip rafter. A bevel set in the angle at H will give the top cut and at A the bottom cut. It will be noticed that the lines, B F, A E and A H show the length of the hip rafters. B F shows hip rafter in position for finding the length and bevel of the jacks on the long side of the hip. A E shows the hip in position for finding the length and bevel of the jacks on the short side of the hip. A H shows the hip in position for finding the length and bevel of the hip rafter. For plain hips and valleys on roofs of equal pitch no one could wish for an easier method than represented in Fig. 58, but Fig. 62, which has been modified to meet the requirements of roofs of unequal pitches, necessarily makes the method more complicated, and with beginners there is much danger of making mistakes by taking measurements and bevels on the wrong side, as the lengths of jacks for the long side of roof appear on the short run of common rafter, and vice versa the jacks for the short side of roof. This circumstance may seem somewhat strange, yet it is nevertheless true, and can perhaps be more fully demonstrated by Fig. 63.