Derive an approximate expression for the strength-toweight

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Consider the torsion of a thin-walled tube. Determine an approximate expression for the torque if the shear stress must be less than a given working stress τw. Express this result in terms of the tube's mean radius R and its thickness t. (Hint: The binomial theorem will be useful here.) Also, derive an approximate expression for the strength-toweight ratio of the tube in terms of the working stress, its radius, and length L, and its specific weight ρg. This result is widely used in aircraft design.

Reference no: EM131307124

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