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AISI alloy alloy steels aluminum annealed applied axial axis beam bearing bending bolt brittle carburizing cast iron centroidal clearance coil cold column compressive stress computed copper corrosion Courtesy curve cycles decarburized deflection deformation design factor design stress diameter dimensions ductile elastic endurance strength engineering equation example external load factor of safety failure fatigue strength FIGURE fits flange force forging friction gears gray iron hardening hardness heat treated heat treatment hole in-lb increase limit lubricant machine manufacturing material maximum stress metal minimum modulus normal stress obtained peening plane plastic pressure principal stress properties quenching radius residual stresses resistance rivets rolled screw shaft shear stress shot peening shown in Fig specimen spring standard static stress concentration surface Table temperature tempering tensile stress thickness threads tolerance torque torsion usually values variable wire yield strength