Shelf’s Section Moment
You are a student in ATLAS and are acquiring a lot of books. Since you are a student you want to make your bookshelf as cheap as possible: you buy one shelf with along. and only two supports. Since the books are rather heavy and the shelf is rather flimsy, you want to optimize the system. Where would you place the supports under the shelf to maximize the strength of the whole? Both, next to each other on the left end, both next to each other in the middle, one at each end,
As a first guess, where would you place the supports?
b. What is the load carried by each support?
Draw a graph of the shelf’s section moment (the needed internal moment in the shelf) as a function of the location along the length of the shelf
d. How large are the maximal stresses and where can these be found?
e. Which configuration of the supports results in the lowest stress in the shelf?
f Compare this answer to your first guess.
Given:
You can assume the flimsy shelf to be massless and the books to result in a uniformly distributed load over the entire shelf the mass of the books is w
per meter of book thickness)
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