Hilldweller
SE Expedition Society
More about cross-eyed mounting:
Scheinwerfermann said:The idea with cross-eyeing "driving" (aux high beam) lamps, especially narrow beam pencil/spot ones, is to adjust the effective composite beam reach and width to match your needs. If you have an intense spot beam and you point it straight ahead, that's great for throwing tons of light straight ahead, which is perfect for long, straight roads and very high speeds. Most of us drive at less-than-supersonic speeds on roads that have curves, so it can be beneficial to trade off some straight-ahead seeing distance to gain some seeing width. Very little cross-eye is needed, but how much is best determined methodically, with trigonometry, not by guessing or random placement. Determine how far ahead of the vehicle you want the beams to cross. This should be decided based on the intended travel speeds, convert miles per hour into feet per second using simple units cancellation (1 mi/1hr = 5280 ft/3600 sec = 1.47 ft/sec, so multiply 1.47 times the MPH travel speed to get feet per second...or just take the lazy way and use one of those online unit converters!). Allow a 3- to 4-second preview, so if you want a 4-second preview and you'll be going 60 mph = 88 feet/second, you need 88 x 4 = 352 feet of beam reach.
OK, so you want the beams to cross at ~350 feet in front of the car. Then all you need is the separation between the two lamps as mounted on the vehicle, and that sets up a right triangle to resolve. Suppose the lamps are 20" apart. That means the Opposite of your right triangle is 10" = 0.833 ft, and the Adjacent of your right triangle is 350 ft. You need to find the angle between the Hypotenuse and the Opposite. This is done by using the formula Tangent = Opposite/Adjacent. So divide 0.833/350 and you get 0.002371428571. Now take the arctangent (inverse tangent) of that, using your own calculator or one like this, and you get 0.1358°. That's how much "toe-in" each driving lamp should have, relative to straight ahead. As I said...not a lot! At a distance of 25 feet from an aiming screen, that's going to move the beam about 2cm from straight-ahead. Difficult to discern that little movement unless you have a really good aiming screen or a visual aimer. It gets easier if you're calculating for slower road speeds.