The cantilever bracket is bolted to a column with three M12×1.75 ISO 5.8 bolts. The bracket is made from AISI 1020 hot-r

Post by **answerhappygod** » Thu Jul 14, 2022 2:38 pm

: The Cantilever Bracket Is Bolted To A Column With Three M12 1 75 Iso 5 8 Bolts The Bracket Is Made From Aisi 1020 Hot R 1 (236.99 KiB) Viewed 42 times

The cantilever bracket is bolted to a column with three M12×1.75 ISO 5.8 bolts. The bracket is made from AISI 1020 hot-rolled steel (Sut=500MPa,Sy=250MPa). Assume the bolt threads do not extend into the joint. It is subjected to a cyclic loading F, which is ranging between 10kN and 30kN as shown in the graph below. Consider only the failure mode of bearing of the bracket and answer the following questions: (a) What is the endurance limit strength (Se) of the bracket material? (Assume all corrections factors as unity, i.e., ka=kb=kc=kd=ke=1.) (0.5 point) (b) What are the mean and alternating components of the primary shear forces at each bolt? (c) What are the mean and alternating components of the secondary shear forces at each bolt? (d) What are the mean and alternating components of the resultant shear forces at each bolt? (e) Which one of these bolts is the most critical? (f) What are the mean and alternating components of bearing stress on the bracket at one of the critical bolts? (Consider fatigue stress concentration factor of 1.8, i.e., = 1.8.) (g) Estimate the fatigue factor of safety based on achieving infinite life, using the Goodman fatigue failure criterion. (h) Estimate the fatigue factor of safety based on achieving infinite life, using the Gerber fatigue failure criterion. (i) Estimate the fatigue factor of safety based on achieving infinite life, using the Soderberg fatigue failure criterion. (j) Estimate the factor of safety for yielding due to the maximum bearing stress on the bracket.