Hey guys, this problem can be solved a few different ways. I know it\'s a lenght

Question

Hey guys, this problem can be solved a few different ways. I know it's a lenghty problem, but could someone give me their advice about how to solve or at least approach this problem?

1500 points awarded for an answer that helps me solve this problem. THANKS!

Shown below is a picture of a Go-Kart which weighs 300# (with the rider), distributed with 60% of the weight on the rear axle and 40% on the front axle. The Go-Kart is powered by a gasoline engine that drives the rear axle via a chain drive and a 10" diameter sprocket. (Note: In chain drives, the loose side tension is assumed to be zero.) The rear axle supports the chassis on two bearings. The tires on the Go-Kart are 12" in diameter. Suppose the Go-Kart wants to accelerate from 0 to 35MPH in s50 ft. If the tires don't skid or spin, design the rear axle (i.e., specify dimensions) for a factor of safety 2.0 using the Von Mises criteria for static failure. To minimize weight and inertia, the axle should be made from a stock tube size and material rather than being solid (provide a reference for the size and material you select). The locations of the components on the rear axle are shown below.

Explanation / Answer

Find the state of stress of the rear axle . I would assume the 60% weight of the vehicle with the person on rear axle downward on two bearings. Then there would be force due to accelaration on the sprocket. Finally reaction force on wheels. After finding the state of stress of the axle you can find the stress tensor for it from which you can find the principal stresses. Then finally use von-mises criteria for yielding using the principal stresses which would give you the yeild strength.  

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