A shaft with a shoulder fillet shown below is made from a material Sut
=470Mpa,Sy=390Mpa. It has dimension
D=60mm,d=40mm, and
r=4mm. The shaft is ground. Estimate the safety factor with respect to infinite fatigue life for the shaft of a reliability of
99.9%using Goodman and Gerber failure criteria for the following loading conditions. Need to check yield on
1^(st )cycle. The shaft is rotating and is subjected to a steady torque of
120N-mwith a steady bending moment of
150N-m. Assume fatigue stress concentration factor
K_(f,bending)=1.4,
K_(f,torsion )=2.0. The shaft is rotating and is subjected to a completely reversed torque of
120N-min phase with a completely reversed bending moment of
150N-m. Assume fatigue stress concentration factor
K_(f, bending )=1.4,K_(f, torsion )=2.0. The shaft is nonrotating and is subjected to a torque fluctuating from 20 to
160N-mand a steady bending moment of
150N-m. Assume fatigue stress concentration factor
K_(f, bending )=1.4,K_(f, torsion )=2.0. The shaft is nonrotating and is subjected to a repeated torque varying from 0 to 120 N m , in phase with a completely reversed bending moment of
150N*mand a steady axial force of 500 N . Assume fatigue stress concentration factor
K_(f, bending )=1.4,K_(f, torsion )=2.0and
K_(f,a\xi al)=1.1.