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The front axle of a skateboard (see Fig. 1A) is failing due to a stress concentration shown in red in Fig. 1B. A handbook of stress concentration factors contains 3 charts of K+ values (see Fig. A-15-6, A-15-7, A-15-9). Only one of these charts is relevant to this problem. (a) Which chart is relevant to this problem? (b) If D = 20 mm, d = 12 mm, and r = 1 mm, what is K+? (c) What is the maximum stress if the nominal stress near the stress concentrator is 150 MPa? (d) What will be the new maximum stress if r is increased from 1 mm to 3 mm? A B Max: 14419 psi Figure 1: (A) Front axle of skateboard. (B) Color map of stress distributions in axle showing stress concentrator in red in the inset image. Figure A-15-6 Reading Mall/2, 1º/12 and the 3.0 2.6 2.2 1.05 3 1.8 1113 1.4 Did 1.02 M d 1.05 0 0.05 0.10 0.15 0.20 0.25 0.30 rld Figure A-15-7 Road that with shoulder fillet i 174- 2.6 2.2 K, 18 14 205 102 Did 1.50 10 10 0 0.05 0.10 0.15 0.20 0.25 0.30 rld Figure 4-15-9 Road shaft with shoulder in beading, when d 3.0 2.6 2.2 K 18 14 1.02 Id M 1.0 0 0.05 0.10 0.15 0.20 0.25 0.30 rld

The front axle of a skateboard (see Fig. 1A) is failing due to a stress concentration shown in red in Fig. 1B. A handbook of stress concentration factors contains 3 charts of K+ values (see Fig. A-15-6, A-15-7, A-15-9). Only one of these charts is relevant to this problem. (a) Which chart is relevant to this problem? (b) If D = 20 mm, d = 12 mm, and r = 1 mm, what is K+? (c) What is the maximum stress if the nominal stress near the stress concentrator is 150 MPa? (d) What will be the new maximum stress if r is increased from 1 mm to 3 mm? A B Max: 14419 psi Figure 1: (A) Front axle of skateboard. (B) Color map of stress distributions in axle showing stress concentrator in red in the inset image. Figure A-15-6 Reading Mall/2, 1º/12 and the 3.0 2.6 2.2 1.05 3 1.8 1113 1.4 Did 1.02 M d 1.05 0 0.05 0.10 0.15 0.20 0.25 0.30 rld Figure A-15-7 Road that with shoulder fillet i 174- 2.6 2.2 K, 18 14 205 102 Did 1.50 10 10 0 0.05 0.10 0.15 0.20 0.25 0.30 rld Figure 4-15-9 Road shaft with shoulder in beading, when d 3.0 2.6 2.2 K 18 14 1.02 Id M 1.0 0 0.05 0.10 0.15 0.20 0.25 0.30 rld

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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The front axle of a skateboard (see Fig. 1A) is failing due to a stress concentration shown in red in Fig. 1B. A handbook of stress concentration factors contains 3 charts of K+ values (see Fig. A-15-6, A-15-7, A-15-9). Only one of these charts is relevant to this problem. (a) Which chart is relevant to this problem? (b) If D = 20 mm, d = 12 mm, and r = 1 mm, what is K+? (c) What is the maximum stress if the nominal stress near the stress concentrator is 150 MPa? (d) What will be the new maximum stress if r is increased from 1 mm to 3 mm? A B Max: 14419 psi Figure 1: (A) Front axle of skateboard. (B) Color map of stress distributions in axle showing stress concentrator in red in the inset image.
Transcribed Image Text:The front axle of a skateboard (see Fig. 1A) is failing due to a stress concentration shown in red in Fig. 1B. A handbook of stress concentration factors contains 3 charts of K+ values (see Fig. A-15-6, A-15-7, A-15-9). Only one of these charts is relevant to this problem. (a) Which chart is relevant to this problem? (b) If D = 20 mm, d = 12 mm, and r = 1 mm, what is K+? (c) What is the maximum stress if the nominal stress near the stress concentrator is 150 MPa? (d) What will be the new maximum stress if r is increased from 1 mm to 3 mm? A B Max: 14419 psi Figure 1: (A) Front axle of skateboard. (B) Color map of stress distributions in axle showing stress concentrator in red in the inset image.
Figure A-15-6 Reading Mall/2, 1º/12 and the 3.0 2.6 2.2 1.05 3 1.8 1113 1.4 Did 1.02 M d 1.05 0 0.05 0.10 0.15 0.20 0.25 0.30 rld Figure A-15-7 Road that with shoulder fillet i 174- 2.6 2.2 K, 18 14 205 102 Did 1.50 10 10 0 0.05 0.10 0.15 0.20 0.25 0.30 rld Figure 4-15-9 Road shaft with shoulder in beading, when d 3.0 2.6 2.2 K 18 14 1.02 Id M 1.0 0 0.05 0.10 0.15 0.20 0.25 0.30 rld
Transcribed Image Text:Figure A-15-6 Reading Mall/2, 1º/12 and the 3.0 2.6 2.2 1.05 3 1.8 1113 1.4 Did 1.02 M d 1.05 0 0.05 0.10 0.15 0.20 0.25 0.30 rld Figure A-15-7 Road that with shoulder fillet i 174- 2.6 2.2 K, 18 14 205 102 Did 1.50 10 10 0 0.05 0.10 0.15 0.20 0.25 0.30 rld Figure 4-15-9 Road shaft with shoulder in beading, when d 3.0 2.6 2.2 K 18 14 1.02 Id M 1.0 0 0.05 0.10 0.15 0.20 0.25 0.30 rld
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