Spreadsheet: 20570d14-c2b6-4e01-999e-45de6919da65
Sheet: Sheet1

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Tractive Force Procedure--Riprap-Steep Gradient (>10%):
Recommended for design of temporary synthethic liners or riprap liners
Guide to [NAME]: |  |  | User Input Data |  |  |  | Calculated Value |  |  |  | Reference Data
Designed By: |  |  |  |  | Date:
Checked By: |  |  |  |  | Date:
Company:
Project Name:
Project No.:
Site Location (City/Town): |  |  | Raleigh
Channel/Waterway Id.: |  |  | 101
Design storm |  | 10-yr
[NAME], Q (cfs) |  | 30
Channel slope, s (ft/ft) |  | 0.15
Channel sideslopes, Z |  | 2
Are sideslopes 3:1? |  | SKIP TO STEP 2
Channel bottom width, b (ft)
Riprap mean diameter, d50c (ft) |  |  |  | Figures 8.05j-l
Flow depth, dn (ft) |  |  |  | Figures 8.05j-l
Channel bottom width, b (ft) |  | 2
For intermediate channel widths, interpolate between the charts to find d50c and dn using table below.
(for b=3, enter d50c and dn for b=2 and b=4 from charts)
b |  |  | 2 | 3 | 4 | 5 | 6
d50c | Figures 8.05j-l
dn | Figures 8.05j-l
Riprap mean diameter, d50c (ft) | 1.1 |  | Figures 8.05j-l
Flow depth, dn (ft) | 0.92 |  | Figures 8.05j-l
d/b | 0.46
A3/AZ | 1.222 |  | Table 8.05h
Flow depth, d (ft) | 1.12424
[NAME] size, d50 (ft) | 1.3442
Trapezoidal | [NAME], Z | [NAME] | [NAME], b | [NAME]. Depth, d | [NAME], T | Cross-sectional area, A | Wetted Perimeter, P | [NAME], R | [NAME], d50 | Manning's Coefficient, n | Permissible Shear Stress, Taud | Velocity, V | Velocity Check | Channel Capacity, Q | Capacity Check | Shear Stress, Tau | Shear Stress Check
Figure 8.05b |  |  | (ft) | (ft) | (ft) | (ft2) | (ft) | (ft) | (ft) |  | (lb/ft2) | (ft/s) |  | (cfs) |  | (lb/ft2)
 | Fig. 8.05b |  | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b |  | Table 8.05f | Table 8.05g | Manning's Eqn. |  | Continuity Eqn.
Vary riprap size and depth until Required Q is met and Tau<[NAME] or use Figure 8.05d | 3 | OK | 4 | 0.92 | 9.52 | 6.219200000000001 | 9.818590894709818 | 0.6334106458545756 | 0.5 | 0.069 | 2 | 6.168407351926769 | LINER REQ'D | 38.36255900310297 | OK | 0 | OK
 | 3 | OK | 4 | 0.95 | 9.7 | 6.5075 | 10.00832755431992 | 0.6502085353102928 | 1 | 0.078 | 4 | 5.552719552188573 | LINER REQ'D | 36.13432248586714 | OK | 0 | OK
Figure 8.05d | 3 | OK | 4 | 1 | 10 | 7 | 10.32455532033676 | 0.6779953017648879 | 1 | 0.078 | 4 | 5.709811244195438 | LINER REQ'D | 39.96867870936807 | OK | 0 | OK
 | 3 | OK |  |  | 0 | 0 | 0 |  |  |  |  |  |  |  |  | 0 | REVISE
V-Shaped | [NAME], Z | [NAME] | [NAME]. Depth, d | [NAME], T | Cross-sectional area, A | Wetted Perimeter, P | [NAME], R | [NAME], d50 | Manning's Coefficient, n | Permissible Shear Stress, Taud | Velocity, V | Velocity Check | Channel Capacity, Q | Capacity Check | Shear Stress, Tau | Shear Stress Check
Figure 8.05b |  |  | (ft) | (ft) | (ft2) | (ft) | (ft) | (ft) |  | (lb/ft2) | (ft/s) |  | (cfs) |  | (lb/ft2)
 | Fig. 8.05b |  | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b |  | Table 8.05f | Table 8.05g | Manning's Eqn. |  | Continuity Eqn.
Vary riprap size and depth until Required Q is met and Tau<[NAME]. | 3 | OK |  | 0 | 0 | 0 | 0 |  |  |  |  |  |  |  | 0 | REVISE
 | 3 | OK |  | 0 | 0 | 0 | 0 |  |  |  |  |  |  |  | 0 | REVISE
 | 3 | OK |  | 0 | 0 | 0 | 0 |  |  |  |  |  |  |  | 0 | REVISE
 | 3 | OK |  | 0 | 0 | 0 | 0 |  |  |  |  |  |  |  | 0 | REVISE
Parabolic | [NAME], T | [NAME]. Depth, d | Cross-sectional area, A | Wetted Perimeter, P | [NAME], R | [NAME], d50 | Manning's Coefficient, n | Permissible Shear Stress, Taud | Velocity, V | Velocity Check | Channel Capacity, Q | Capacity Check | Shear Stress, Tau | Shear Stress Check
Figure 8.05b | (ft) | (ft) | (ft2) | (ft) | (ft) | (ft) |  | (lb/ft2) | (ft/s) |  | (cfs) |  | (lb/ft2)
 | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b | Fig. 8.05b |  | Table 8.05f | Table 8.05g | Manning's Eqn. |  | Continuity Eqn.
 | 10 | 0.5 | 3.333333333333333 | 10.06666666666667 | 0.3311258278145696 | 0.5 | 0.069 | 2 | 4.002931686576534 | RIPRAP REQ'D | 13.34310562192178 | REVISE | 0 | OK
s | 8 | 0.8 | 4.266666666666667 | 8.213333333333333 | 0.5194805194805195 | 1 | 0.078 | 4 | 4.780978668834431 | RIPRAP REQ'D | 20.39884232036024 | REVISE | 0 | OK
 | 9 | 1.1 | 6.600000000000001 | 9.358518518518519 | 0.7052398290327687 | 1 | 0.078 | 4 | 5.861766522298092 | RIPRAP REQ'D | 38.68765904716741 | OK | 0 | OK
 |  |  | 0 |  |  |  |  |  |  |  |  |  | 0 | REVISE
Angle of repose |  |  |  | Figure 8.05g
Ratio of [NAME] side shear to [NAME] bottom shear, [NAME] |  |  |  | Figure 8.05h
Tractive force ratio, K2 |  |  |  | Figure 8.05i
d50 bottom |  |  | From Tables above
d50 sides