The design of packaging for shipping containers requires the engineer to conside
ID: 2074340 • Letter: T
Question
The design of packaging for shipping containers requires the engineer to consider the level of shock forces that might be generated when the package is dropped. As an example, Amazon requires that its shipping containers be able to pass a 3 foot (36 inches) drop test. For this problem, we will consider the case shown. A box contains an item that weighs 3.4 lbs. The drop test from the floor to the bottom of the box is 36 inches. We will assume a zone of one inch thick for full compaction of the packing material. Determine the minimum thickness, t, of packaging material required so that the item in the box will not experience a force of more than 36 times its weight. Assume the ideal case of constant acceleration of the item from the time the box hits the ground to the time the item comes to rest at the end of the crumple zone of thickness t. [ Express your answer in units of inches. Use 2 decimal places in your answer. Use a value of 386.4 in/s2 for the acceleration of gravity.] Item t" crumple zone 1" compaction zone 36"Explanation / Answer
Given that,
36 in drop test i.e; h = 36 in
weight of the container , w = 3.4 lbs
F = ma = 36 X 3.4 X 386.4 = 47295.36 lb in / s2
Compaction zone , tl = 1 in
now, t = ?
F = gm( H - h ) / t
36 X 3.4 X 386.4 = 386.4 X 3.4 ( 36 -1 ) /t
t = 1.02 in
0.093 = 37 - t