MACHINE DESIGN - An 3-20-1PROBLEM 3-20 Statement: Assume that the load of paper rolls in Problem 3-18 will slide sideways at a truck speed of 20 mph on the curve in question. Estimate the impact force of the cargo against the trailer wall. The force-deflection characteristic of the trailer wall has been measured as approximately 400 lb/in.Given:Weight of paperWp44415lbf.Weight of trailerWt14000lbf.Speed of tractor/trailervt20mph.Radius of curver50ft.Trailer widthw8ft.Paper roll lengthL38in.L3.167ft=Trailer wall stiffnessk400lbfinAssumptions: 1. The paper rolls act as a monolith since they are tightly strapped together with steel bands.2. The worst case will result if friction between the floor and the paper is neglected.Solution: See Figure P3-8 and Mathcad file P0320.1. Calculate the distance that the rolls will slide before impacting the wall.
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