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I'm wondering if there's any mathematical or scientific way to determine the car ramp's length and angle provided car's ground clearance and height of garage floor from the road.

I'm looking to find the shortest ramp length for my car to climb but the angle should be just right for the car to climb without scraping the bumper.

I have very little space, so the shortest length is something I care about.

enter image description here

Please note that I couldn't find angle of departure/arrival for my car.

Car's ground clearance(Lowest point of the car from the ground) is 170mm.

The height of garage floor from the ground is 14.5 inches

The total length of garage is 20 feet.

Here is car-specific information.

enter image description here

enter image description here

P.S

  • As of now garage ramp length is 4 feet 10 inches. I want to shorten the length as much as possible

  • My car's tire pressure 30 PSI and I maintain that.

  • Whenever I park my car in the garage , Only the driver will be in so no extra load.

  • Here's the car size

     Length*Width*Height:3990*1745*1500 mm3
    
  • Car's wheelbase( Centre of front axle to centre of rear axle ) is 2520 mm

  • The climate around the residence is Tropical Savannah so no snow :) Usually highly humid coastal area climate

isherwood
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King
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1 Answers1

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At given dimensions this drawing shows you would have a INCH of clearance when the car is half way in the garage.

Using simple geometry it shows that a ramp length of 4 ft 11 inches the clearance would be 1 inch. The slope is simple given by connecting the hight with length thus making a triangle with slope of 22 Dgr.

drawing

DIY75
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