Fig. 70. - Plan of Hip Roof with One End out of Square.

A plan of a hip roof with one end out of square is shown in Fig. 70. Let A B C D represent the plates in the plan ; D E C the angle and run of hips on the square end of the plan, and A F B the angle and run of hips on the end which is out of square. In order to determine the point F so that the ridge of the roof will be level, make A F H equal to D E G in the plan. From F on line A F square up the rise of hip to I, which connect with A for the hip rafter. Then I is the down and A the bottom bevels. The hip rafters on the square end of the plan will be the same length as A I and will have the same bevels. From F, on the line B F, square up the rise of roof to J, which connect with B for the length of the hip on the long corner. Then J is the down and B the bottom bevel. K F is the run, F L the rise and K L the length of the common rafter on the end of plan which is out of square. L is the down bevel and K the bottom bevel. M N O shows the rise, run and length of the common rafter on the main plan, O being the down bevel and M the bottom bevel.

To avoid the great confusion of cross lines which would now follow if the work was further developed in Fig. 70, we will dispense with this plan, only taking from it measurements to develop the new lines and bevels of the rafters. Referring now to Fig. 71, let A D represent the plate, A H the run of the common rafter and H I the length of the common rafter on the main roof, which is the same as M O of Fig. 70. Connect I with A for the position of the hip for finding the lengths and bevels of jacks on the front side of plan. Space the rafters on the line A D and draw them perpendicular to the hip.

Fig. 71. - Diagram for Finding Lengths and Bevels of Jacks on Front Side of Plan, Fig. 70.

A bevel set in the angle where they join the hip line will give the bevel across the back of the jacks, the down bevel being the same as that of the common rafter on the main part. It is shown at O in Fig. 70. The lengths and bevels of the jacks on the square end of the plan will be the same as the part of the roof already illustrated. The hip rafter D E is the same as A I. We will now consider the end of the plan which is out of square. Referring to Fig. 72, the lines B C A show how much the plan is out of square. A B is the plate, K L the length of the common rafter on the end of plan, being the same as.

Fig. 72. - Diagram of End of Plan Out of Square.

K L of Fig. 70 ; B L the hip on the long corner, being the same as B J of Fig. 70, while A L is the hip on the short corner, and is the same as A I of Fig. 70. Space the jacks on the line B A and draw them perpendicular, joining B A with the hip lines B L A, which gives the lengths of jacks on this end of the plan. The bevel at E is the bevel across the back joining the long hip. The bevel at F is the bevel across the back joining the short hip. The down bevel is the same as that of the common rafter shown at L in Fig. 70. We have now to find the lengths and bevels of the jacks on the rear side of the long hip. Referring to Fig. 73, B C represents the rear plate, B D is the square of the hip, being the same as B P of Fig 70; D L the length of the common rafter, being the same as O M of Fig. 70, while B L is the position of the hip for finding the lengths and bevels of jacks on the rear side of the long hip, and is of the same length as B L of Fig. 72. The jacks are spaced wider on B D, Fig. 73, than on B K, Fig. 72, in order that they may meet opposite on the hip B L. Draw the jacks perpendicular from B D, Fig. 73, joining the hip B L, which will give their lengths. A bevel set in the angle at E where they join the hip will give the bevel across the back. The down bevel will be the same as that of the common rafter on the main part or this side of the roof.