Solved: Asbestos is a fibrous silicate mineral with remarkably high tensile strength

Chapter 1, Problem 1.79

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Asbestos is a fibrous silicate mineral with remarkably high tensile strength. But it is no longer used because airborne asbestos particles can cause lung cancer. Grunerite, a type of asbestos, has a tensile strength of 3.5 10 2 kg/mm2 (thus, a strand of grunerite with a 1-mm2 cross-sectional area can hold up to 3.5 10 2 kg). The tensile strengths of aluminum and Steel No. 5137 are 2.5 10 4 lb/in2 and 5.0 10 4 lb/in2, respectively. Calculate the cross-sectional area (in mm2) of wires of aluminum and of Steel No. 5137 that have the same tensile strength as a fiber of grunerite with a cross-sectional area of 1.0 m 2.

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