3. A cylindrical shaft has a circular groove, the depthof groove is t=6mm, and the radius of curvature at the root of the groove is r=3mm. The radiusof the cross section at the root of the groove is R=60mm. Using figures or tables (or whenavailable the approximate formulas) in appendix D of the textbook OR Neuber's Nomograph(download from blackboard)), calculate the stress concentration factor againsta. Axial force,b. Bending moment,c. Torsion.d. For M-20kN.m and assuming q=0.8, calculate maximum normal stress using results ofpart b.e. For T=20KN.m and assuming q=0.8, calculate maximum shearing stress using results ofpart c. TABLE 14.3 Directions for Use of Figure 14.10 (Neuber) in Finding CalculatedStress Concentration Factor Sce in BarsFormula forScale forCurve forType of loadnominalfindingScType of notchstressP2bhFigure ATensionf13MBendingf2bhFigure BPTensionfbh6 M6?hBending4Figure CPTensionf2bhPBending3 Mte2h(cFigure DPTensionf4MBending371.23 VDirect sheare82TTorsional3eshear16.Sc247106.35.83243 2 1 0 1 2 3 45 67f212.3./25

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.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Pressure and Stress

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.

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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