Consider a book shelf of width, w length, L, and thickness, t. A material- xof i

Question

Consider a book shelf of width, w length, L, and thickness, t. A material- xof is used to minimize the mass of the shelf while keeping the deflection of below a critical value, Ö Two materials were identified for this application. Material "A" has a density (p) of 2 g/cm and a Young's modulus(E) of 27 GPa. Material "B" has a density of 4 g/cm and a Young's modulus of 216 GPa Assuming that both materials meet the deflection constraint, choose the correct statement(s): 3 The two materials will result in bookshelves with exactly the same mass. Material "A" will result in a lighter bookshelf The bookshelf made out of material B" will be thinner than the bookshelf made out of material "A" The two bookshelves will have the same thickness. Save

Explanation / Answer

Here, volume of bookshelf = w×l×t

And density of A is half of density of material B.

So clearly mass of A will be less than that of B.

So, option B.

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