APPENDIX F SCOUR ANALYSIS

Transcription

1 APPENDIX F SCOUR ANALYSIS

2 Lichtenstein CONSULTING ENGINEERS JOB Otter St. over Otter Creek SHEET NO. 1 OF 3 CALC. BY CAF DATE 4/24/2007 CHECKED BY GM DATE 4/25/2007 SCALE Variables for Scour Equations in FHWA Pub. HEC-18, Fourth Edition INPUT fields are highlighted. CONTRACTION SCOUR Section Section Reference: y HEC-RAS detailed output table (Section 1) Q HEC-RAS detailed output table (Section 1) Q HEC-RAS detailed bridge output table (Section 2) W HEC-RAS output cross section sketch (Section 1) W HEC-RAS output cross section sketch (Section 2) Vch HEC-RAS detailed output table (Section 1) D From Soil Borings S HEC-RAS detailed output table (Section 1) y HEC-RAS detailed output table (Section 2) Vc = 11.17*y1^(1/6)*D50^.33 HEC-18, eq. 5.1 Vc Vc > V, Clear Water Scour Clear Water Scour y2 =((K u *Q2 2 )/(D 2/3 m * W2)) 3/7 HEC-18, p K u HEC-18, p D m =1.25 * D50 y yscour = y2-y0 HEC-18, Eq. 5.3 yscour negative value (no scour) Live Bed Scour for comparison V* = (g*y1*s1)^1/2 HEC-18, p V* HEC-18, p w HEC-18, p. 5.11, Fig. 20 C V*/w HEC-18, p k HEC-18, p y2 = ((Q2/Q1)^(6/7)*(W1/W2)^K1)*Y1 HEC-18, Eq. 5.2 y yscour = y2-y0 HEC-18, Eq. 5.3 yscour negative value (no scour)

3 Lichtenstein CONSULTING ENGINEERS JOB Otter St. over Otter Creek SHEET NO. 2 OF 3 CALC. BY CAF DATE 4/24/2007 CHECKED BY GM DATE 4/25/2007 SCALE LIVE BED SCOUR AT THE ABUTMENTS Abutment No. 2 Abutment No. 1 Reference: K1 HEC-18, p K K2 HEC-18, p K y1 sketch y a' LOB sketch a' ROB ya LOB sketch ya ROB Ae LOB 0.5*a'ya Ae ROB Qe LOB output table Qe ROB Reference for above: HEC-RAS cross section output sketches and stream tube output Ve = Qe/Ae HEC-18, p. 7.8 Ve LOB Ve ROB V1 (Ref. HEC-RAS V1 (Ref. HEC-RAS stream tube adj. to abutment) stream tube adj. to abutment) Fr = Ve/(g*ya)^0.5 (Froelich) Fr = V1/(g*ya)^0.5 (HIRE) a'/y a'/y a'/y1 > 25 use: Froelich Froelich a'/y1 > 25 use: Froelich Froelich Fr LOB Fr ROB Froelich Equation: ys/ya = 2.27*K1*K2*(a'/ya)^0.43*Fr^ HEC-18, Eq. 7.1 HIRE Equation: ys/y1=4*fr^0.33*k1/0.55*k2 HEC-18, Eq. 7.2 ys/y ys/ya ys ys SCOUR DEPTH SUMMARY 100 Year Contraction Local Total Scour Left Abutment Right Abutment Year Contraction Local Total Scour Left Abutment Right Abutment

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5 Lichtenstein CONSULTING ENGINEERS JOB NO JOB Otter St. over Otter Creek SHEET NO. 3 OF 3 CALC. BY CAF DATE 4/24/2007 CHECKED BY GM DATE 4/25/ year design flood Median Stone Size at Abutments: V = 1.32 fps HEC-RAS detailed output table (Section 2) For Fr <= 0.8 use: D 50 /y=k/(s s -1)*(V 2 /g*y) = K = 1.02 Vertical wall abutments 1.8*V = 2.38 fps S s = 2.65 Specific gravity of riprap, normally g = 32.2 ft/sec 2 gravity y = ft Depth of flow in contracted opening D 50 = 0.1 feet (computed) Use: R-6 rock (Ref. DM4 p. A.7-5) D 50 R-6 rock= 2 foot RipRap Layout: Extent into floodplain from toe of slope = 25 = 2 times y or 25' (whichever is shorter) Vertical extent up abutment slope 2 ft above high water Matt thickness (1.5D 50 ) = 2.5 ft Section 850, Publication 408

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7 Plan: Plan 02 Otter Creek Mill Creek #1 RS: Profile: 100-year E.G. Elev (ft) Element Left OB Channel Right OB Vel Head (ft) 0.01 Wt. n-val W.S. Elev (ft) Reach Len. (ft) Crit W.S. (ft) Flow Area (sq ft) E.G. Slope (ft/ft) Area (sq ft) Q Total (cfs) Flow (cfs) Top Width (ft) Top Width (ft) Vel Total (ft/s) 0.73 Avg. Vel. (ft/s) Max Chl Dpth (ft) Hydr. Depth (ft) Conv. Total (cfs) Conv. (cfs) Length Wtd. (ft) Wetted Per. (ft) Min Ch El (ft) 5.40 Shear (lb/sq ft) Alpha 1.27 Stream Power (lb/ft s) Frctn Loss (ft) 0.01 Cum Volume (acre-ft) C & E Loss (ft) 0.00 Cum SA (acres) Plan: Plan 02 Otter Creek Mill Creek #1 RS: Profile: 500-year E.G. Elev (ft) Element Left OB Channel Right OB Vel Head (ft) 0.01 Wt. n-val W.S. Elev (ft) Reach Len. (ft) Crit W.S. (ft) Flow Area (sq ft) E.G. Slope (ft/ft) Area (sq ft) Q Total (cfs) Flow (cfs) Top Width (ft) Top Width (ft) Vel Total (ft/s) 0.86 Avg. Vel. (ft/s) Max Chl Dpth (ft) Hydr. Depth (ft) Conv. Total (cfs) Conv. (cfs) Length Wtd. (ft) Wetted Per. (ft) Min Ch El (ft) 5.40 Shear (lb/sq ft) Alpha 1.27 Stream Power (lb/ft s) Frctn Loss (ft) 0.01 Cum Volume (acre-ft) C & E Loss (ft) 0.00 Cum SA (acres) Plan: Plan 02 Otter Creek Mill Creek #1 RS: Profile: 100-year E.G. Elev (ft) Element Left OB Channel Right OB Vel Head (ft) 0.01 Wt. n-val W.S. Elev (ft) Reach Len. (ft) Crit W.S. (ft) Flow Area (sq ft) E.G. Slope (ft/ft) Area (sq ft) Q Total (cfs) Flow (cfs) Top Width (ft) Top Width (ft) Vel Total (ft/s) 0.65 Avg. Vel. (ft/s) Max Chl Dpth (ft) Hydr. Depth (ft) Conv. Total (cfs) Conv. (cfs) Length Wtd. (ft) 1.00 Wetted Per. (ft) Min Ch El (ft) 4.70 Shear (lb/sq ft) Alpha 1.53 Stream Power (lb/ft s) Frctn Loss (ft) 0.00 Cum Volume (acre-ft) C & E Loss (ft) 0.00 Cum SA (acres)

8 Plan: Plan 02 Otter Creek Mill Creek #1 RS: Profile: 500-year E.G. Elev (ft) Element Left OB Channel Right OB Vel Head (ft) 0.01 Wt. n-val W.S. Elev (ft) Reach Len. (ft) Crit W.S. (ft) Flow Area (sq ft) E.G. Slope (ft/ft) Area (sq ft) Q Total (cfs) Flow (cfs) Top Width (ft) Top Width (ft) Vel Total (ft/s) 0.79 Avg. Vel. (ft/s) Max Chl Dpth (ft) Hydr. Depth (ft) Conv. Total (cfs) Conv. (cfs) Length Wtd. (ft) 1.00 Wetted Per. (ft) Min Ch El (ft) 4.70 Shear (lb/sq ft) Alpha 1.50 Stream Power (lb/ft s) Frctn Loss (ft) 0.00 Cum Volume (acre-ft) C & E Loss (ft) 0.00 Cum SA (acres)

9 Plan: Plan 02 Otter Creek Mill Creek #1 RS: Profile: 100-year E.G. US. (ft) Element Inside BR US Inside BR DS W.S. US. (ft) E.G. Elev (ft) Q Total (cfs) W.S. Elev (ft) Q Bridge (cfs) Crit W.S. (ft) Q Weir (cfs) Max Chl Dpth (ft) Weir Sta Lft (ft) Vel Total (ft/s) Weir Sta Rgt (ft) Flow Area (sq ft) Weir Submerg Froude # Chl Weir Max Depth (ft) Specif Force (cu ft) Min El Weir Flow (ft) Hydr Depth (ft) Min El Prs (ft) W.P. Total (ft) Delta EG (ft) 0.00 Conv. Total (cfs) Delta WS (ft) 0.00 Top Width (ft) BR Open Area (sq ft) Frctn Loss (ft) BR Open Vel (ft/s) 0.43 C & E Loss (ft) Coef of Q Shear Total (lb/sq ft) Br Sel Method Energy only Power Total (lb/ft s) Plan: Plan 02 Otter Creek Mill Creek #1 RS: Profile: 500-year E.G. US. (ft) Element Inside BR US Inside BR DS W.S. US. (ft) E.G. Elev (ft) Q Total (cfs) W.S. Elev (ft) Q Bridge (cfs) Crit W.S. (ft) Q Weir (cfs) Max Chl Dpth (ft) Weir Sta Lft (ft) Vel Total (ft/s) Weir Sta Rgt (ft) Flow Area (sq ft) Weir Submerg Froude # Chl Weir Max Depth (ft) Specif Force (cu ft) Min El Weir Flow (ft) Hydr Depth (ft) Min El Prs (ft) W.P. Total (ft) Delta EG (ft) 0.00 Conv. Total (cfs) Delta WS (ft) 0.00 Top Width (ft) BR Open Area (sq ft) Frctn Loss (ft) BR Open Vel (ft/s) 0.48 C & E Loss (ft) Coef of Q Shear Total (lb/sq ft) Br Sel Method Energy only Power Total (lb/ft s)

10 Plan: Plan 02 Otter Creek Mill Creek #1 RS: Profile: 100-year Pos Left Sta Right Sta Flow Area W.P. Percent Hydr Velocity (ft) (ft) (cfs) (sq ft) (ft) Conv Depth(ft) (ft/s) 1 LOB LOB LOB LOB LOB LOB LOB LOB LOB LOB LOB Chan ROB ROB ROB ROB ROB ROB ROB ROB ROB ROB ROB Plan: Plan 02 Otter Creek Mill Creek #1 RS: Profile: 500-year Pos Left Sta Right Sta Flow Area W.P. Percent Hydr Velocity (ft) (ft) (cfs) (sq ft) (ft) Conv Depth(ft) (ft/s) 1 LOB LOB LOB LOB LOB LOB LOB LOB LOB LOB LOB Chan ROB ROB ROB ROB ROB ROB ROB ROB ROB ROB ROB