Question

The steel shaft shown in Figure 1 is machined from low carbon cold rolled steel SAE 1020 with Sut = 65 kpsi, Sy = 38kpsi and E = 30Mpsi. The shaft is driven by a gear at B, drives a sheave at D and supported by two deep groove ball bearings at A and C. The shear and bending moment diagrams over the shaft length are shown in Figure 2. There are three locations of concern where a moment occurs in combination with a stress concentration: point B at the step and end-mill key seat under the gear ($M_B$ = 33 lb-in), point C at the right bearing where there is a step with a small radius to fit to the bearing ($M_C$ = 63 lb-in) and point D at the sheave step ($M_D$ = 9 lb-in). The diameters of the shaft are $d_0$ = 0.6 in, $d_1$ = 0.5 in, $d_2$ = 0.416 in and the radius of the fillets at B is $r_B$ = 0.05in and C is $r_C$ = 0.0416in. a) Using the modified Good-man criterion, calculate the minimum safety factor for infinite life and check for yielding at the critical loaction B.

          The steel shaft shown in Figure 1 is machined from low carbon cold rolled steel SAE 1020 with
Sut = 65 kpsi, Sy = 38kpsi and E = 30Mpsi. The shaft is driven by a gear at B, drives a sheave at
D and supported by two deep groove ball bearings at A and C. The shear and bending moment
diagrams over the shaft length are shown in Figure 2. There are three locations of concern where
a moment occurs in combination with a stress concentration: point B at the step and end-mill key
seat under the gear ($M_B$ = 33 lb-in), point C at the right bearing where there is a step with a small
radius to fit to the bearing ($M_C$ = 63 lb-in) and point D at the sheave step ($M_D$ = 9 lb-in). The
diameters of the shaft are $d_0$ = 0.6 in, $d_1$ = 0.5 in, $d_2$ = 0.416 in and the radius of the fillets at B is
$r_B$ = 0.05in and C is $r_C$ = 0.0416in.

a) Using the modified Good-man criterion, calculate the minimum safety factor for infinite
life and check for yielding at the critical loaction B.

the steel shaft shown in figure 1 is machined from low carbon cold rolled steel sae 1020 with sut 65 kpsi sy 38kpsi and e 30mpsi the shaft is driven by a gear at b drives a sheave at d and s 85496

Added by Kristin J.

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