Question

a) The rotating step shaft is subjected to the force as shown in the figure. It is supported by bearings at A and F. The shaft is machined using AISI 1040 CD steel. Determine the minimum fatigue factor of safety based on achieving infinite life. If infinite life is not predicted, estimate the number of cycles to failure. Also check for yielding. Given Data: (Notch sensitivity (q)=0.85, $S_{ut}$=85 kpsi, $S_{yield}$= 71 kpsi, Surface condition modification factor $k_a$=0.868, Size modification factor $k_b$=0.8, Load modification factor $k_c$=1, fatigue fraction (f)=0.867) * In order to determine $K_t$; Use Figure A-15-9 in your textbook. y 1150 lbf Dimensions are in inch and all fillet radius: 1/6 inch 1.8 1.0 B A 1.2 D C E F 1.0 $R_1$ -0.5 ? 8 8.5 ? 19.5 20 $R_2$ x b) In this part, assume that; the shaft has constant circular cross-section and its diameter is 0.6 inch along the shaft. The same magnitude of load is applied in the middle of shaft as shown in the figure below. Bearings are still at the same locations (at the ends). Calculate the maximum deflection under applied load. Take Elasticity Modulus as 210 GPa. 1150 lbf 0.6 inch 10 inch 10 inch $R_1$ $R_2$ x

          a) The rotating step shaft is subjected to the force as shown in the figure. It is supported by bearings at A and F. The shaft is machined using AISI 1040 CD steel. Determine the minimum fatigue
factor of safety based on achieving infinite life. If infinite life is not predicted, estimate the number of cycles to failure. Also check for yielding.
Given Data: (Notch sensitivity (q)=0.85, $S_{ut}$=85 kpsi, $S_{yield}$= 71 kpsi, Surface condition modification factor $k_a$=0.868, Size modification factor $k_b$=0.8, Load modification factor $k_c$=1, fatigue fraction
(f)=0.867)
* In order to determine $K_t$; Use Figure A-15-9 in your textbook.
y
1150 lbf
Dimensions are in inch and all fillet radius: 1/6 inch
1.8
1.0
B
A
1.2
D
C
E
F
1.0
$R_1$
-0.5
?
8
8.5
?
19.5
20
$R_2$
x
b) In this part, assume that; the shaft has constant circular cross-section and its diameter is 0.6 inch along the shaft. The same magnitude of load is applied in the middle of shaft as shown in
the figure below. Bearings are still at the same locations (at the ends). Calculate the maximum deflection under applied load. Take Elasticity Modulus as 210 GPa.
1150 lbf
0.6 inch
10 inch
10 inch
$R_1$
$R_2$
x

$a) The rotating step shaft is subjected to the force as shown in the figure. It is supported by bearings at A and F. The shaft is machined using AISI 1040 CD steel. Determine the minimum fatigue factor of safety based on achieving infinite life. If infinite life is not predicted, estimate the number of cycles to failure. Also check for yielding. Given Data: (Notch sensitivity (q)=0.85, Sut=85 kpsi, Syield= 71 kpsi, Surface condition modification factor ka=0.868, Size modification factor kb=0.8, Load modification factor kc=1, fatigue fraction (f)=0.867) * In order to determine Kt; Use Figure A-15-9 in your textbook. y 1150 lbf Dimensions are in inch and all fillet radius: 1/6 inch 1.8 1.0 B A 1.2 D C E F 1.0 R1 -0.5 ? 8 8.5 ? 19.5 20 R2 x b) In this part, assume that; the shaft has constant circular cross-section and its diameter is 0.6 inch along the shaft. The same magnitude of load is applied in the middle of shaft as shown in the figure below. Bearings are still at the same locations (at the ends). Calculate the maximum deflection under applied load. Take Elasticity Modulus as 210 GPa. 1150 lbf 0.6 inch 10 inch 10 inch R1 R2 x$

Added by Helen J.

Question

Please give Ace some feedback