(25) A shaft with a circular cross section is comprised of a relatively brittle material. The shaft has shoulder T td fillet of radiusr= ((15+R)/4) mm as shown in Fig. P3. The diameter of the cross-section at the root of the fillet is Figure P3. Shaft with shoulder fillet d = 60.0 mm and the maximum diameter is D=72.0 mm. The member is made of 6061-T6 aluminum (E=69 GPa, v=0.33 and Y=275 MPa). a. Determine the associated calculated stress concentration factor(s) for the given shaft with load T applied as shown in Figure P3 using a figure from appendix D of your book (6th edition posted on BB/lecture slides/stress concentration): i. Write down the figure number from the posted pdf on BB. ii. Show all required calculations for determining the stress concentration factor from that figure. iii. Write the final value of Scc. b. Calculate the maximum stress in the shaft based on the calculated stress concentration factor in part a if the notch sensitivity is q = 0.8 and the applied load is T= (10+S)*100 N-m.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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U=1 S=2 R=3

(25) A shaft with a circular cross
section is comprised of a relatively
brittle material. The shaft has shoulder
T
td
fillet of radiusr= ((15+R)/4) mm as
shown in Fig. P3. The diameter of the
cross-section at the root of the fillet is
Figure P3. Shaft with shoulder fillet
d = 60.0 mm and the maximum diameter is
D=72.0 mm. The member is made of 6061-T6 aluminum (E=69 GPa, v=0.33 and
Y=275 MPa).
a. Determine the associated calculated stress concentration factor(s) for the given
shaft with load T applied as shown in Figure P3 using a figure from appendix D of
your book (6th edition posted on BB/lecture slides/stress concentration):
i. Write down the figure number from the posted pdf on BB.
ii. Show all required calculations for determining the stress concentration factor
from that figure.
iii. Write the final value of Scc.
b. Calculate the maximum stress in the shaft based on the calculated stress
concentration factor in part a if the notch sensitivity is q = 0.8 and the applied
load is T= (10+S)*100 N-m.
%3D
Transcribed Image Text:(25) A shaft with a circular cross section is comprised of a relatively brittle material. The shaft has shoulder T td fillet of radiusr= ((15+R)/4) mm as shown in Fig. P3. The diameter of the cross-section at the root of the fillet is Figure P3. Shaft with shoulder fillet d = 60.0 mm and the maximum diameter is D=72.0 mm. The member is made of 6061-T6 aluminum (E=69 GPa, v=0.33 and Y=275 MPa). a. Determine the associated calculated stress concentration factor(s) for the given shaft with load T applied as shown in Figure P3 using a figure from appendix D of your book (6th edition posted on BB/lecture slides/stress concentration): i. Write down the figure number from the posted pdf on BB. ii. Show all required calculations for determining the stress concentration factor from that figure. iii. Write the final value of Scc. b. Calculate the maximum stress in the shaft based on the calculated stress concentration factor in part a if the notch sensitivity is q = 0.8 and the applied load is T= (10+S)*100 N-m. %3D
Stress Concentration Factors: Shaft with Shoulder Fillet charts
2.6
2.4
td
-D/d=2
2.2
Tc 16T
Tnom =
2.0
J
лаз
Fig. D.4
Stress concentration
K
1.8
-1.2
factor K for a shaft
1.6
with a shoulder fillet
1.4
-1.09
in torsion.
1.2
1.0
0.1
0.2
0.3
r/d
2.6
1.2
1d
2.4
P.
Fig. D.5
2.2
P- 4P
Onom
A
1.05
%3D
Stress concentration
2.0
factor K for a shaft
with a shoulder fillet
K
1.8
-D/d = 2
in axial tension.
1.6 1.01.
1.5
1.4
1.2
1.0
0.1
0.2
0.3
r/d
Transcribed Image Text:Stress Concentration Factors: Shaft with Shoulder Fillet charts 2.6 2.4 td -D/d=2 2.2 Tc 16T Tnom = 2.0 J лаз Fig. D.4 Stress concentration K 1.8 -1.2 factor K for a shaft 1.6 with a shoulder fillet 1.4 -1.09 in torsion. 1.2 1.0 0.1 0.2 0.3 r/d 2.6 1.2 1d 2.4 P. Fig. D.5 2.2 P- 4P Onom A 1.05 %3D Stress concentration 2.0 factor K for a shaft with a shoulder fillet K 1.8 -D/d = 2 in axial tension. 1.6 1.01. 1.5 1.4 1.2 1.0 0.1 0.2 0.3 r/d
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