A ROPS is designed to stop the tractor at 90 degrees from upright. The tractor should stop the roll with it's side on the ground. It is not a roll bar which protects you when your car goes 180 degrees.
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I’m in agreement with you and is what I meant. I’m focusing on the meaning of the first two words - “roll over”. If a tractor rolls, it is on its side. To get to “over”, it would have to continue until it is on its other side. You stated the length of the ROPS is to prevent the “over” part from happening and that is the most logical explanation I’ve heard.
How many manufacturers make things longer, wider, stronger, thicker, etc. than they have too? The ROPS could be designed shorter if the goal was to protect the driver through the roll over. Customers would be happier because the tractor would fit in a garage without modification; to the tractor or garage. They added the hinge in the ROPS so this could happen.
I am not an engineer, but isn’t an arch stronger than a rectangle when it comes to supporting a downward force? Why pick a tall rectangle when a shorter arch is stronger? Isn’t it because the arch doesn’t prevent the over part whereas the tall rectangle does?