Directional Bore Minimum Bend Radius and Entry Setback

The pipe, not the rig, usually sets a bore's bend radius -- and by a factor of eight or more.

Run the calculator

Example

You enter

You get

Checked against published worked examples from: Trenchless Technology.

Details, formula, and sources

ScopeThe trade rule for steel is a radius in FEET of about a hundred times the pipe diameter in INCHES, so a 12.75 in product pipe wants 1,275 ft where a drill rod may be happy at 150. A path laid out on the rod's capability will bend the steel past its allowable stress during pullback, and the damage is not always visible. HDPE is the opposite case and it is why HDPE dominates smaller bores: it cold-bends on about twenty-five times its own diameter at DR 11 (PPI Handbook ch. 12), though many makers hold HDD bends to forty or fifty times, so the rod becomes the constraint again and the path can be much tighter. THE CONSEQUENCE PEOPLE UNDERESTIMATE IS HORIZONTAL DISTANCE. Turning from a 12 degree entry to horizontal on that 1,275 ft radius takes 265 ft of run and reaches 27.9 ft of depth on the way. That means the bend radius decides the entry setback, the depth under the crossing, and often whether the bore fits between the obstacles at all -- and it is a layout consequence settled before anyone mobilises, not a drilling one discovered afterward. A tight lot with 150 ft of setback cannot take a large steel bore at a shallow entry angle no matter what the rig can do. Geometry from published rules of thumb. It does not perform a pipe stress analysis, which is what actually establishes an allowable bend radius for a given wall, grade, and installation condition, and the multipliers differ by material, by manufacturer, and by whether the pipe is being bent during pullback or resting in the hole afterward. It does not design a bore path, evaluate the soil the path passes through, address surface obstructions, existing utilities, or the survey and steering that keeps the bit on the plan, and it does not evaluate pullback force, drilling fluid, or annular pressure. The pipe manufacturer, the drilling contractor, and the engineer of record govern.

Formula or tableproduct pipe minimum radius in feet = the entered radius-per-inch rule times the pipe diameter in inches; the governing radius is the LARGER of that and the drill rod's; the sag bend consumes R sin(entry angle) of horizontal run and reaches R (1 - cos(entry angle)) of depth.

Source and editionThe trade rules of thumb by name -- about 100 ft of radius per inch of steel pipe diameter, and roughly 25 to 50 times its own diameter for HDPE -- with the sag-bend geometry from circular-arc trigonometry. Geometry only; the pipe manufacturer, the drilling contractor, and the engineer of record govern.

Free accessTrigonometry on the user's own pipe and path figures; no manufacturer bend table is reproduced.

What governsEstimate. AHJ and licensed professional govern.

API field namespipe_diameter_in, radius_per_inch_ft, rod_min_radius_ft, entry_angle_deg, required_depth_ft, available_setback_ft, pipe_min_radius_ft, governing_radius_ft, sag_run_ft, sag_depth_ft, rod_ratio

Related tools