The math you do standing next to the work.

Cut angles, conduit bends, sling loads, tank fills. Field calculators for carpenters, electricians, riggers, and haulers who need the number, not a spreadsheet.

Browse 6 tools

Field Math

6 tools

Overcut

Know how far your blade runs past the line before the first cut.

Try it forward, bevel, reverse

Crownset

Cut crown molding right the first time.

Try it spring angle + corner

Dipfill

Read the stick, get the gallons.

Try it gallons or litres

Legload

Tension per sling leg, from a tape measure, not a protractor.

Try it height + leg length

Bendmark

The shrink number Ugly's leaves out, front and center, in one glance.

Try it 5 trade angles

Rampset

The ramp length you need, and whether you'll drag your belly getting up it.

Try it load-type presets

Numbers the trades carry

1.414×45° offset multiplier

Distance between bend marks per inch of rise. The book says 1.414; half the field rounds it to 1.4 and eats the difference.

2.0×sling tension at 30°

Drop a two-leg sling to 30 degrees from horizontal and each leg carries double its share of the load. The load didn't change. The angle did.

10.4inblade overrun, 24″ at 6″ deep

A round blade cutting 6 inches deep runs past your line by more than 10 inches at the surface. Chord geometry, not operator error.

19.6%tank volume at a quarter stick

A horizontal tank with the stick wet a quarter of the way up holds under a fifth of its capacity. The fat middle lies to you in both directions.

Field constants

Constants from each tool's own math module.

BendmarkBend marks and shrink by trade angle

Bend angle	Mark multiplier	Shrink per inch of rise	Reach for it on
10°	5.759	0.088 in	Long, shallow runs
22.5°	2.613	0.199 in	Tight boxes, low shrink
30°	2.0	0.268 in	The everyday default
45°	1.414	0.414 in	Steep clears, big obstructions
60°	1.155	0.577 in	Maximum rise, short run

LegloadSling angle vs. leg tension

Sling angle	Tension factor	Legload flag
60°	1.155	No flag
45°	1.414	Amber. The caution zone starts here
30°	2.0	Amber. One degree lower reads red

OvercutBlade overrun by cut depth

Cut depth, 24 in blade	Overrun at the surface
4 in	8.9 in
6 in	10.4 in
8 in	11.3 in

RampsetRamp length vs. loading angle

Ramp length, 24 in deck	Loading angle
6 ft	19.5°
8 ft	14.5°
10 ft	11.5°

DipfillStick reading vs. actual volume

Stick reading, horizontal tank	Tank holds
1/4 wet	19.6% of capacity
1/2 wet	50% of capacity
3/4 wet	80.4% of capacity

CrownsetCrown conventions

Crown setting	The convention
Spring-angle presets	38°, 45°, 52°, or custom
Reference plane	The wall, not the ceiling
Corner input	The corner you measured; 88° to 92° is normal

Pick the tool by the trade

ElectricianMarking bend points on an offset or a 3-point saddleBendmarkPick the trade angle, type the rise, read mark spacing and shrink.CarpenterSetting the saw for a crown corner that is not squareCrownsetExact miter and bevel from the corner you measured, inside and outside at once.Holding the overrun short of a line the cut must not crossOvercutReverse mode turns a clearance limit into a maximum single-pass depth.RiggerSizing up a sling angle before the liftLegloadTension per leg and the derived angle from two tape measurements.HaulerLoading a low car without dragging the transitionRampsetBreakover verdict from ground clearance and wheelbase.Ordering fuel off a stick readingDipfillGallons to fill, the number you phone the order in with.

First-pass field numbers. Verify anything that can hurt somebody, and check rigging against rated WLL.

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