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Question: a short segment of a conveyor belt transportation system in...

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A short segment of a conveyor belt transportation system in a manufacturing plant needs to be suspended from the ceiling. The segment will be 2 m long and has a mass of 50 kg. 400 kg parts roll across the segment such that the leading edge of one part begins to enter the conveyor belt at the moment the trailing edge of the previous one leaves. The conveyor belt will be supported from the ceiling using four cylindrical rods hanging in pairs as shown below:

PART 0.5 m l m 0.5 m

What diameter should the support rods be for a factor of safety of 1.25 with respect to failure at N = 106 cycles? The rods will be made of hot-rolled 1050 steel with an ultimate tensile strength of Sut = 620 MPa. The manufacturing plant operates in an environment of 25° C, and a reliability of 99.99% is desired.

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