The following is from one of my earlier posts.
Search under my username to see the replies.
Warning - the following post contains no references to Delta, Comair, PFT, the RJDC, Freedom, or airline management. I.e. BORING!
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To answer your question-
There is no real easy way - you might try that book that was mentioned.
Also, I have heard of a book by a European pilot called "From Takeoff to Landing.' If you find it, let me know - I haven't tried yet.
Some knowledge of the Terps is helpful. Specifically, what gradients are, how they are used to compute takeoff performance, but here is what I got off the top of my head:
Correct me if I got this stuff wrong.
Segt1- Liftoff to gear retraction, assumed to be 35' over the end of the runway.
Segt2- Initial Climb at V2. This segt is complete at 400 abv the runway, or the acceleration altitude. Most are 400'. Obsacles can dictate higher. Roanoke, Aspen, etc.
Segt3- Level off and accelerate to flap retraction speed. Retract flaps.
Segt4- Climb to 1500' abv rwy elev. at whatever speed the manual dictates. V-whatever, varies among aircraft.
Vef- The speed at which the engine is assumed to fail. (Basically V1 minus pilot reaction time.)
V1- The speed above which a takeoff will be performed regardless of engine failure. Depending on weight, can also be the max speed from which an accelerate-stop can be accomplished (on the runway).
At low weights, there are a range of possible V1 speeds, limited on the upper end by stopping ability. Limited on the lower end by one engine acceleeration ability.
Example: Take a 727 at a light weight. If v1 is too high, an abort would take you off the pavement even if done before V1. If V1 was (for sake of argument) 10 knots, the airplane might not be able to accelerate to Vr before running out of runway.
As you get heavier, the spread between the upper and lower limit converge. (KINDA like Vy and Vx do).
Vr- The speed at which a normal rate of rotation will produce V2 at 35' abv the runway. (not necessarily the runwway end.)
Vmu- Min unstick speed figures, in but can't remember how off the top of my head.
V2- takeoff safety speed. A VERY ROUGH analogy would be Vx. This speed is designed to get you over the obstacles. It is limited by (among other things) Vmca and Vs.
I think the factors are 1.1 Vmca and 1.2 Vs.
Therefore an airplane with tail mounted engines would probably have V2 limited by Vs, since there is little assymetric thrust. Wing mounted engines could go either way. If lots of power is available and the weight is low, 1.2 Vs might be lower than 1.1 Vmca.
If the weight is high, 1.2 Vs will probably be more limiting than 1.1 Vmca.
Vs is stall speed for the takeoff configuration being used.
Vmca is what you think it is. Air minimum control speed.
There are several (depending on aircraft) V-designators for the speed at which the flap retraction BEGINS, as well as the fourth-segment climb speed. Check the manual.
Vmcg- Ground minimum control speed. This is the speed ABOVE which, when an engine is lost, control of the aircraft can be maintained on the ground USING ONLY AERODYNAMIC CONTROLS. No nosewheel steering. "Control" means being able to keep it within 30' of the centerline after an engine failure. Yee-Ha!
Again, off the top of my head, I can't remember if this speed is associated with V1 (my bet) or Vr/V2.
Climb gradients (not rates) are associated with 2, 3, or 4 engine aircraft, and affect how much performance is requied for each engine out condition.
Also, be careful, some gradients are published as percent slope, some as feet per nautical mile. NOT interchangeable - math required.
I worked out the formulas if you want them, along with some common gradients and slopes.
'scuse me now, I'm going to go try to get a life...
Oh yeah, read part 25 (also the perf. parts of 121) a couple times. It ain't that bad. Really.