Specific Strengths (Strength/Density) Specific strength Group Material mm (in.)

Question

Specific Strengths (Strength/Density) Specific strength Group Material mm (in.) 9.9 x 10 (0.39 x 105) 16.9 x 10 (0.67 x 105) 19.7 x 10 (0.78 x 105) 6.4 x 10 (0.25 x 10) 77.2 106 (304 106) Noncomposites 1040 steel 2048 plate aluminum Ti-5A1-2.5Sn Epoxy E-glass (73.3 vol %) in epoxy (parallel Composites loading of continuous fibers) Al203 whiskers (14 vol %) in epoxy C (67 vol %) in epoxy (parallel loading)" Kevlar(82 vol %) in epoxy (parallel 48.8 x 106 (1.92 x 106) 76.9 x 106 (3.03 x 106) 112 106 (4.42 1of) loading) Douglas fir, kiln-dried to 12% moisture 183 x 106 (0.72 x 10°) (loaded in bending)

Explanation / Answer

The specific strength of any material is defined as strength divided by Its density.

Here we are asked to compare the specific strength of spider silk with 1040 steel.

1040 steel specific strength = 9.9 * 106 mm.

The tensile strength of spider silk = 1.2*103 Mpa = 1.2*103 N / mm2

Density of spider silk = 1.1 Mg/m3

We know 1 kg = 9.8 N

1.1 Mg = 0.00001078.

1 m3 = 1000000000 mm3

Density of spider silk = 1.1 Mg/m3 = 0.00001078 N/ 1000000000 mm3= 0.00000000000001078 N/mm3

Specific strength = strength / density = 1.2 * 103 N / mm2 / 0.00000000000001078 N/mm3.

The specific strength of spider silk = 111317254174397031 mm.

The specific strength of spider silk is greater than 1040 steel which is 9.9 * 106 mm.

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