It still comes back to the same basic question, you have 300ft of deck for launch, a 12 degree ramp at the end, and you only have to reach 80 knots off the end of the ramp. If your aircraft cannot manage that under it's own power then no pilot in his right mind is going to fly such an underpowered coffin into combat. If you can afford the cost and complexity of a catapult, then you don't need the ramp; your aircraft will be leaving the deck at full flying speed anyway. The purpose of the ramp is to get you into the air before you have reached flying speed, but it buys you time to continue your takeoff roll after you have become airborne. The 80 knot speed limit for undercarriage is not my figure, it is from the people who did this for real for several decades: the Fleet Air Arm. Ask people like John Farley, one of those who worked on the Harrier family and the ski jump since the sixties, he drops in on other forums (PPRuNe) regularly to offer advice.
Aircraft undercarriage are usually not made of steel, try magnesium. Like most airframe components, they are weight critical. And yes rollercoasters do accelerate their cars using chain driven conveyers up a ramp, but the cars are unpowered, analagous to gliders. Are you intending to launch gliders off a carrier? Or jet fighters with a high thrust to weight ratio?
I'll say it again, if you can get you aircraft to 130+ knots before the end of the deck, there is absolutely no need for a ramp, the wings of the plane will get it into the air. THERE WILL NEVER BE A COMBINED CATAPULT/SKI JUMP ON ANY CARRIER BECAUSE THERE IS NO JUSTIFICATION FOR DOING SO, NO BENEFIT TO BE DERIVED.
Magnesium is as strong as and lighter than steel; for all intent and purpose, the material is not the limit, make it out of titanium if you must.
You also have not read about the roller coaster; the two I have suggested are either pneumatic powered with nitrogen gas in a piston, or hydraulic powered with dissolved air in the hydraulic fluid.
Your statement is about powered combat plane and unpowered glider is also irrelevent to physics. Let me rephrase it for you, do you need more power to push an object along which have trust pushing it as well by itself; or the same mass object that does not produce trust to the same speed? simple force reaction will tell you that the object with out trust will require more power. As a mini cooper is around 1000 kg; or around the weight of a single car of a roller coaster. Do you think that a fully laden combat aircraft is heavier than a 16 car roller coaster powered by a pneumatic or hydraulic pulley system? I assure you a system capable of hurling a 16 tonne mass to 100 mph in 2 seconds will not have issues hurling a 4 tonnes mass in the same time frame.
I think you are set in your mind what is considered good. The ski is intended to increase the lift capacity at take off by the angle of attack; in the way so that you can reduce take off speed - your number of 130 knot to 80 knot (67 m/s and 42 m/s). Can a fully laden high power combat aircraft reach 80 knots off a ski by itself - NO. Can a fully laden high power aircraft reach 80 knots with assist? -YES. Does propelling an aircraft to 80 Knots use less energy than 130 Knots? -YES. Does machinery developing less power require less maintenance? - YES; you are looking at 2/3rd the operating pressure. Can you use use lighter, less complex machinery to develop less power? - YES. So do you see from an engineering stand point, ski jump and cat does have a merit?
Here is the quick math for you, Kinetic energy = 1/2 X m X V^2; mass of 4000 kg, for 80 knots, you need ~9 MJ of energy, for a 80 Knot launch, you need, 3.3 MJ of energy. Lets say the plane can supply 2 MJ; Can you see that a system developing 1.3 MJ is much smaller than one developing 7 MJ; or
600% greater?
Using kienamatics; Vf^2 = V0^2 +2XAXD; D lets take 300 ft or 100 m, for Vf(80knots); A(80) = 8.4 m/s2. for Vf(130); A(130) = 22.45 m/s2. Using conservation of energy, F = m X A; Lanuch force of F(80) = 33 Kn; F(130) = 90 Kn; Can you see that 90 Kn is
1/3 the force required. This is also relevant to the fluid pressure, we know that the force = pressure X piston face area. your hydralic/punematic for a ski-cat require only 30% of the design pressure of a pure cat system.
Does it take an engineer to understand that a system producing only 1/3rd of the stress (pressure) and 1/6th of the power is a much less maintenance intensive system; a much cheaper system and a much more simpler system? So do you dare say that there is no merit?
Granted I am no expert on carrier ops; But I can pretty much darn tell you that inherent design wise, a ski-cat system will be much more reliable, smaller and cheaper to build and to operate due to the lower forces required.
Tactically, do a carrier which cannot launch any aircraft if the cat system (flat top) fails is more resilient or a carrier which can still launch CAP (with 2 AAM) w/ ski if the cat fails? is there no merit in that?