Design a minimum required diameter for the shaft based on operational parameters as prescribed above following that of ASME-Elliptic criterion of fatigue loading. As shaft diameter is the unknown quantity, use a coefficient to modify the endurance limit due of size factor, kb = 0.8499.

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
icon
Related questions
icon
Concept explainers
Question
F = 941.2 N
Ø 192
Solution:
20
Ø = 250
100
Jog
120
N
Figure 1
80
FOL
= 452.8 N
y
FDT=1131.8 N
All length units in mm
Transcribed Image Text:F = 941.2 N Ø 192 Solution: 20 Ø = 250 100 Jog 120 N Figure 1 80 FOL = 452.8 N y FDT=1131.8 N All length units in mm
Topic - Design from Failure Prevention Principle (Fatigue Loading Analysis)
A power transmission shaft ABCD subjected to fatigue loading is to be designed with
components as shown in Figure 1 by using two bearings at A and C as points of support,
respectively. The engine power exerts onto the spur gear (192 mm diameter, weighs 8
kg) at B, a net force with magnitude FB = 941.2 N at 20° angle relative to x-y plane. The
power-receiving pulley at D (250 mm diameter, weighs 10 kg) produces two tensional
loads FDT = 1,131.8 N and FDL = 452.8 N on the tight and loose side of the belt,
respectively.
The shaft material is expected to be machined from high-strength hot-rolled steel alloy
with Sut= 1,000 MPa and Sy = 770 MPa. All fillets and corners susceptible to stress
concentrating effect are maintained at r = 3 mm with the resulting geometrical-dependent
stress concentration factors in normal and shear directions of k = 1.7 and Kts = 1.35,
respectively. The shaft reliability to fatigue load is targeted at 90% with safety factor for
fatigue design, nr = 2 is specified to the system.
Design a minimum required diameter for the shaft based on operational parameters as
prescribed above following that of ASME-Elliptic criterion of fatigue loading. As shaft
diameter is the unknown quantity, use a coefficient to modify the endurance limit due of
size factor, kb = 0.8499.
Transcribed Image Text:Topic - Design from Failure Prevention Principle (Fatigue Loading Analysis) A power transmission shaft ABCD subjected to fatigue loading is to be designed with components as shown in Figure 1 by using two bearings at A and C as points of support, respectively. The engine power exerts onto the spur gear (192 mm diameter, weighs 8 kg) at B, a net force with magnitude FB = 941.2 N at 20° angle relative to x-y plane. The power-receiving pulley at D (250 mm diameter, weighs 10 kg) produces two tensional loads FDT = 1,131.8 N and FDL = 452.8 N on the tight and loose side of the belt, respectively. The shaft material is expected to be machined from high-strength hot-rolled steel alloy with Sut= 1,000 MPa and Sy = 770 MPa. All fillets and corners susceptible to stress concentrating effect are maintained at r = 3 mm with the resulting geometrical-dependent stress concentration factors in normal and shear directions of k = 1.7 and Kts = 1.35, respectively. The shaft reliability to fatigue load is targeted at 90% with safety factor for fatigue design, nr = 2 is specified to the system. Design a minimum required diameter for the shaft based on operational parameters as prescribed above following that of ASME-Elliptic criterion of fatigue loading. As shaft diameter is the unknown quantity, use a coefficient to modify the endurance limit due of size factor, kb = 0.8499.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Combined Loading
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY