Hip and Valley Rafter Sizing

This chart is for initial rough sizing hip and valley rafters, work should be checked by an engineer before plans are finalized. Length L in feet is shown at right. This chart is for intersections of equal pitch ONLY. Column headings refer to live load. This is based on an article in The Journal Of Light Construction

Lumber Fb 1,000PSI, E 1,000,000PSI
LVL Fb 2,800PSI, E 2,000,000PSI
10PSF dead load
No slope adjustments allowed

4 2x6 2x6 2x6 2x8
5 2x6 2x6 2x6 2x8
6 2x6 2x8 2x8 2x10
7 2x8 2x10 2x10 2x12
8 2x10 2x12 2x12 (2)2x12
9 2x10 (2)2x12 (2)2x12 (2)2x12
10 2x12 (2)2x12 (2)2x12 LVL11-7/8
11 (2)2x12 (2)2x12 LVL11-7/8 LVL11-7/8
12 (2)2x12 LVL11-7/8 LVL11-7/8 LVL14
13 (2)2x12 LVL11-7/8 LVL14 (2)LVL14
14 LVL11-7/8 LVL14 (2)LVL14 (2)LVL14
15 LVL11-7/8 LVL14 (2)LVL14 (2)LVL14
16 LVL11-7/8 (2)LVL14 (2)LVL14 (2)LVL16
17 LVL14 (2)LVL14 (2)LVL16 (2)LVL16
18 LVL14 (2)LVL14 (2)LVL16 --
19 (2)LVL14 (2)LVL16 -- --
20 (2)LVL14 (2)LVL16 -- --