501261,
Are YOU sure? (see ending comments)
You identified takeoff distance as being the greater of three choices: accelerate-stop, accelerate-go, and all engines to 35' agl. Your reference is Part 25 for this requirement. However, Part 25 doesn't address anything but takeoff to 35'. If you calculate takeoff distance based on Part 25 takeoff performance information, you know how much runway you need to get off the ground, but not how much you need to get stopped if you have a problem.
You're describing critical field length, which is the minimum runway length (or runway plus clearway and/or stopway) required for a specific takeoff weight. This distance may be the longer of the balanced field length, 115% of the all engine takeoff distance, or established by other limitations such as maintaining V(1) to be less than or equal to V(R)
See 14 CFR 25.113, which defines takeoff distance. It doesn't address stopping at all. You may be thinking of 25.109 instead. This sets the requirements for establishing takeoff stop distance. However it centers about accelerating to Vef before aborting: it's all about getting stopped. That still doesn't solve your problem of determining what's needed for takeoff.
One needs to know both how much runway is available to abort the takeoff safely and still get stopped, how much runway is available to make a complete takeoff on all engines, and how much runway is available and required to continue the takeoff after an engine failure, and get airborne.
A balanced field length is the runway length in which the takeoff distance is the same as the number of feet required to accelerate an airplane to a go/no-go speed, decide to abort the takeoff, and come to a complete stop.
While technically balanced field length isn't the critical deciding element in determining suitability of a runway, one should consider the ability to get stopped, continue with a powerplant out, or go with all engines. Simply computing takeoff distance won't cut it. More information is required.
Balanced field length should be used unless a parameter exceeds it, such as the 115% all-engines concept. In this case, it becomes the longer of these distances (again, which is different than the Part 25 requirements or definition of takeoff distance). It becomes an unbalanced field length in that the accelerate-go/accelerate-stop distances are considered but are usually less than that required to accelerate on all engines plus an additional 15%. The 115% all-engines takeoff distance is usually the controlling distance for Part 25 airplanes. A V1 selected to achieve a balanced field length usually exceeds VR, a condition which is not allowed by the regulations. For these airplanes, V1 is normally selected as identical to VR and the balanced field length concept is not applicable.
14 CFR 121.189 sets operational takeoff limitations. These are not the same as certification takeoff requirements, and make allowance for stopway and clearway up to 1/2 of the runway distance. A generous margin is allowed for calculating the stopway or clearway into the takeoff performance calculations, in the interest of using shorter airfields. Takeoff run may not exceed runway length, but takeoff distance may. Likewise, accelerate-stop distance includes the stopway; the aircraft is allowed to leave the runway or exceed it. Is this a good idea? Not necessarily. Again some things are legal, but not necessarily safe or wise.
14 CFR 135.379 sets forth similiar operational rules as 121.189.
I will generally look for balanced field length. If more than that is required, I want to know about it, but I want to be able to do everything on the runway. I don't want to be aborting and taking advantage of a clearway off the runway. I want to be able to calculate my performance such that I can do everything I need to do on the runway.
Planning a takeoff simply such that one has adequate distance to get off the ground doesn't take into account aborting or other problems (deployed T/R, etc) that can arise during the takeoff. It doesn't take into account delays or kinks that may arise. It doesn't leave much room for safety, if any at all.
The point is simple. While I may or may not be concerned with the minimum specific BFL for a departure, I am very concerned with all my options. Balanced field length is important because it tells me that my safety options are met. I can get stopped if I need to, and I can lose an engine and still accelerate and go if I need to.
I used to fly airplanes that included two and three engine takeoff distance charts (four engine airplane). Generally I'd be even more conservative, and determine takeoff distance based on three engines from a standing start. This distance was always longer than accelerate stop, accelerate go, or 115% of all engines, and left me with a comfortable margin for making a decision.
The use of balanced field lengh is advantageous only in determining minimum distances that meet the ability to stop or go. As stated before, generally the all-engine distance plus 15% exceeds this distance. In this case, this is the distance to use.
Aicraft flight manuals provide a variety of performance data. Some do include balanced field information, some don't. It may be presented in different ways.
I don't know that there is a disagreement here: 501261 appears to be stating that one needs to consider the takeoff distance required, be it exact BFL, or a longer distance if the 115% rule makes it so (usually the case). If so, this is quite correct. I'd only add that this should be calculated on actual runway length, rather than stopways or clearways, if one intends to complete the operation on the runway and not in the sticks or a frangible overrun.
I think FNG is stating that he wants to see adequate runway to complete the operation he's intending to make. If so, he's right in saying it. FNG and 501261 are saying the same thing (as am I), just in different ways. The disagreement is semantics, which isn't really important here.
The confusion that exists is in individual definitions of takeoff distance required. That needs to be qualified. If we agree that takeoff distance required includes the above mentioned criteria, and that the available runway takeoff distance exceeds that, then all our requirements have been met at once. I think 501261 was simply saying that so long as we can do everything we need to do and still have runway left over, it's a good day. I think he's right, as is FNG.