3. A cylindrical shaft has a circular groove, the depth of groove is t=6mm, and the radius of curvature at the root of the groove is r=3mm. The radius of the cross section at the root of the groove is R=60mm. Using figures or tables (or when available the approximate formulas) in appendix D of the textbook OR Neuber's Nomograph (download from blackboard)), calculate the stress concentration factor against a. Axial force, b. Bending moment, c. Torsion.
3. A cylindrical shaft has a circular groove, the depth of groove is t=6mm, and the radius of curvature at the root of the groove is r=3mm. The radius of the cross section at the root of the groove is R=60mm. Using figures or tables (or when available the approximate formulas) in appendix D of the textbook OR Neuber's Nomograph (download from blackboard)), calculate the stress concentration factor against a. Axial force, b. Bending moment, c. Torsion.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![3. A cylindrical shaft has a circular groove, the depth
of groove is t=6mm, and the radius of curvature at the root of the groove is r=3mm. The radius
of the cross section at the root of the groove is R=60mm. Using figures or tables (or when
available the approximate formulas) in appendix D of the textbook OR Neuber's Nomograph
(download from blackboard)), calculate the stress concentration factor against
a. Axial force,
b. Bending moment,
c. Torsion.
d. For M-20kN.m and assuming q=0.8, calculate maximum normal stress using results of
part b.
e. For T=20KN.m and assuming q=0.8, calculate maximum shearing stress using results of
part c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd9a3981-d805-45a8-8782-179b038b7338%2F89ce3650-4a7e-4a24-b855-b7e1da1935fd%2F9dhq5s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. A cylindrical shaft has a circular groove, the depth
of groove is t=6mm, and the radius of curvature at the root of the groove is r=3mm. The radius
of the cross section at the root of the groove is R=60mm. Using figures or tables (or when
available the approximate formulas) in appendix D of the textbook OR Neuber's Nomograph
(download from blackboard)), calculate the stress concentration factor against
a. Axial force,
b. Bending moment,
c. Torsion.
d. For M-20kN.m and assuming q=0.8, calculate maximum normal stress using results of
part b.
e. For T=20KN.m and assuming q=0.8, calculate maximum shearing stress using results of
part c.
![TABLE 14.3 Directions for Use of Figure 14.10 (Neuber) in Finding Calculated
Stress Concentration Factor Sce in Bars
Formula for
Scale for
Curve for
Type of load
nominal
finding
Sc
Type of notch
stress
P
2bh
Figure A
Tension
f
1
3M
Bending
f
2bh
Figure B
P
Tension
f
bh
6 M
6?h
Bending
4
Figure C
P
Tension
f
2bh
P
Bending
3 Mt
e
2h(c
Figure D
P
Tension
f
4M
Bending
3
7
1.23 V
Direct shear
e
8
2T
Torsional
3
e
shear
1
6.
Sc
2
4
7
10
6.
3
5.
8
3
2
4
3 2 1 0 1 2 3 4
5 6
7
f
2
1
2.
3.
/2
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd9a3981-d805-45a8-8782-179b038b7338%2F89ce3650-4a7e-4a24-b855-b7e1da1935fd%2Fm7mwrm_processed.png&w=3840&q=75)
Transcribed Image Text:TABLE 14.3 Directions for Use of Figure 14.10 (Neuber) in Finding Calculated
Stress Concentration Factor Sce in Bars
Formula for
Scale for
Curve for
Type of load
nominal
finding
Sc
Type of notch
stress
P
2bh
Figure A
Tension
f
1
3M
Bending
f
2bh
Figure B
P
Tension
f
bh
6 M
6?h
Bending
4
Figure C
P
Tension
f
2bh
P
Bending
3 Mt
e
2h(c
Figure D
P
Tension
f
4M
Bending
3
7
1.23 V
Direct shear
e
8
2T
Torsional
3
e
shear
1
6.
Sc
2
4
7
10
6.
3
5.
8
3
2
4
3 2 1 0 1 2 3 4
5 6
7
f
2
1
2.
3.
/2
5
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