The tensile load on the turned bolt of Fig. 1 varies from 12,000 to 20,000 lb. The stress concentration factor for the threads is equal to 3 and for the fillet, 1.2. Material has q = 1.0, σult = 130,000 psi, σyp = 110,000 psi and σe = 47,000 psi. If threads are safe for continuous operation, find the value of area A1 necessary to make the fillet safe for continuous operation with the same factor of safety as the threads.
Figure 1

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