Dam safety worked examples

Spillway Design Flood for a Class C Dam

By Michael Flynn, PE · water resources & dam safety engineer

Hazard classification is not an administrative label — it selects the storm the spillway has to pass, and the step from Class B to Class C is the largest single jump in cost and difficulty anywhere in dam design. This works the selection, the routing check, and what to do when the existing spillway does not pass. Sources: FEMA P-94, Selecting and Accommodating Inflow Design Floods for Dams; NRCS NEH Part 520; HMR-51/52 for PMP.

What this example does and does not give you. Steps 1, 3 and 4 are complete — the IDF selection, the routing procedure, and the options when an existing spillway fails the check. Step 2 is parametric, not worked. Probable maximum precipitation is site-specific: HMR-51 depth-area-duration values depend on the watershed's latitude, longitude and area, and there is no representative figure that means anything across sites. Rather than invent one, the PMP is carried as a symbol and every input in that step is labelled a placeholder. Pull the real depth for your site before Step 2 becomes a number.

The dam

Structure22-ft earthfill, 145 ac-ft normal storage
ClassificationClass C, high hazard (per the flood rise test at 1.7 ft)
Drainage area1.8 sq mi
Existing spillwayVegetated auxiliary spillway, 40 ft wide, crest 4.0 ft below dam crest
Required freeboardPeak headwater must stay below dam crest
Step 1 · Select the inflow design flood

The IDF follows the hazard class, not the dam size

Hazard classSizeTypical IDF range
Low (Class A)Small – Large50-yr to 100-yr
Significant (Class B)Small – Large100-yr to ½ PMF (500-yr to ½ PMF for large)
High (Class C)Small – LargePMF

This is the consequence that makes the classification argument worth having. At Class B this dam might be evaluated against a 100-year storm; at Class C it is evaluated against the probable maximum flood. Note the row structure: the high-hazard row reads PMF across every size column — a small high-hazard dam gets the same design storm as a large one, because the consequence of failure, not the size of the structure, is what the criterion protects against.

Confirm the IDF with the state program before you design to it. FEMA P-94 is federal guidance, and the ranges above are typical practice; the binding requirement is whatever the state dam safety program applies, and some programs accept an incremental-consequence analysis to reduce the IDF below the full PMF. Design to a storm the reviewer has not agreed to and you will do the work twice.
Step 2 · Develop the PMF hydrograph

PMP → rainfall excess → unit hydrograph

The probable maximum precipitation comes from HMR-51 (depth-area-duration) with HMR-52 for storm placement and orientation east of the 105th meridian — not from NOAA Atlas 14, which tops out at the 1,000-year event and is not a PMP source. Convert PMP to runoff with a curve number appropriate to saturated antecedent conditions, then transform with a unit hydrograph.

PLACEHOLDER INPUTS — not a worked number. Replace every line below.
Drainage area A = 1.8 sq mi
6-hr PMP depth = P (from HMR-51 for this latitude/longitude and area)
Curve number, saturated AMC ≈ CN III — the PMF is not run on average soil moisture
Time of concentration tc from TR-55 segments
→ NRCS dimensionless unit hydrograph → PMF inflow hydrograph
Use saturated antecedent moisture. Running the PMF on an average curve number is a common and serious under-design: the PMP is a near-physical-upper-bound storm, and pairing it with average soil moisture produces a peak that no reviewer will accept. Runoff volume, not just peak intensity, is what fills the reservoir and drives the routed headwater.
Step 3 · Route it

Modified Puls, storage-indication

Peak inflow is not what sizes the spillway — peak headwater is, and the reservoir attenuates the flood substantially. Build the stage-storage-discharge relationship, then route:

Stage → storage: from the reservoir survey or contour areas
Stage → discharge: broad-crested weir for the auxiliary spillway, plus principal spillway / outlet works

Route the PMF with Modified Puls
→ peak reservoir stage

Check: peak stage < dam crest elevation, with the required freeboard maintained

For a 40-ft-wide vegetated auxiliary spillway on a 1.8 sq mi watershed, a routed PMF will normally overtop — which is the expected finding, not a failure of the analysis. Most existing small dams in North Carolina were designed decades ago to a far smaller storm; the median NC dam was completed in 1963.

Step 4 · When it does not pass

Four real options, in rough order of cost

The order matters. Re-testing the classification is an engineering study; the other three are construction projects. On a dam whose Class C finding turns on half a foot of modeled stage, the study is the responsible first step — and if the classification holds, you have a far better-defended basis for the capital request.

Tools used

Inflow Design Flood
IDF lookup by hazard class and size
Reservoir Routing
Modified Puls storage-indication
Broad-Crested Weir
Auxiliary spillway rating
Time of Concentration
TR-55 segmented tc

The rest of this series

These four examples follow one structure through the whole decision chain, because in practice that is how the questions actually arrive:

  1. Breach parameters for a 22-ft earthfill dam — produces the failure hydrograph everything else depends on.
  2. Class B or Class C? The 1.5-foot flood rise test — turns that hydrograph into a hazard classification.
  3. Does an 18-ft farm pond dam need a permit? — the classification decides whether the size exemption survives.
  4. Spillway design flood for a Class C dam — and the classification sets the storm the spillway must pass.

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