Drawing 1 of Figure P8.51 shows a countershaft with helical gear (B), bevel gear (D), and two supporting bearings (A and C). Loads acting on the bevel gear are shown. Forces on the helical gear can be determined from equilibrium of moments about the shaft axis plus the given proportions of the helical gear force components. Shaft dimensions are given in drawing 2. All shoulder fillets (at points where diam- eter changes) have a radius of 5 mm. Note that the shaft is designed so that only bear- ing A takes thrust. The shaft is made of hardened steel, Su = 1069 MPa, 896 MPa. All important surfaces are finished by grinding. Sy %3! (a) Draw load, shear force, and bending moment diagrams for the shaft in the xy and xz planes. Also draw diagrams showing the intensity of the axial force and torque along the length of the shaft. (b) At points B, C, and E of the shaft, calculate the equivalent stresses in prepara- tion for determining the fatigue safety factor. (Note: Refer to Table 8.2.) (c) For a reliability of 99% (and assuming a standard deviation of o = 0.08S,„), estimate the safety factor of the shaft at points B, C, and E. [Ans.: (c) 5.0, 6.8, and 5.8, respectively]
Drawing 1 of Figure P8.51 shows a countershaft with helical gear (B), bevel gear (D), and two supporting bearings (A and C). Loads acting on the bevel gear are shown. Forces on the helical gear can be determined from equilibrium of moments about the shaft axis plus the given proportions of the helical gear force components. Shaft dimensions are given in drawing 2. All shoulder fillets (at points where diam- eter changes) have a radius of 5 mm. Note that the shaft is designed so that only bear- ing A takes thrust. The shaft is made of hardened steel, Su = 1069 MPa, 896 MPa. All important surfaces are finished by grinding. Sy %3! (a) Draw load, shear force, and bending moment diagrams for the shaft in the xy and xz planes. Also draw diagrams showing the intensity of the axial force and torque along the length of the shaft. (b) At points B, C, and E of the shaft, calculate the equivalent stresses in prepara- tion for determining the fatigue safety factor. (Note: Refer to Table 8.2.) (c) For a reliability of 99% (and assuming a standard deviation of o = 0.08S,„), estimate the safety factor of the shaft at points B, C, and E. [Ans.: (c) 5.0, 6.8, and 5.8, respectively]
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
Related questions
Question
![Drawing 1 of Figure P8.51 shows a countershaft with helical gear (B), bevel gear
(D), and two supporting bearings (A and C). Loads acting on the bevel gear are
shown. Forces on the helical gear can be determined from equilibrium of moments
about the shaft axis plus the given proportions of the helical gear force components.
Shaft dimensions are given in drawing 2. All shoulder fillets (at points where diam-
eter changes) have a radius of 5 mm. Note that the shaft is designed so that only bear-
ing A takes thrust. The shaft is made of hardened steel, S, = 1069 MPa,
S, = 896 MPa. All important surfaces are finished by grinding.
8.51
(a) Draw load, shear force, and bending moment diagrams for the shaft in the xy
and xz planes. Also draw diagrams showing the intensity of the axial force and
torque along the length of the shaft.
(b) At points B, C, and E of the shaft, calculate the equivalent stresses in prepara-
tion for determining the fatigue safety factor. (Note: Refer to Table 8.2.)
(c) For a reliability of 99% (and assuming a standard deviation of o = 0.08S,),
estimate the safety factor of the shaft at points B, C, and E.
[Ans.: (c) 5.0, 6.8, and 5.8, respectively]
Forces act at 500-mm dia.
В
550
D
400
400
450
F, = 1.37 kN
F, = 5.33 kN
F2 = 0.3675F,
F = 0.2625F,
120 dia.
E
Keyway
80 dia.
Fy
F = 1.37 kN
(K= 1.6 for bend and torsion; 1.0 for axial
load all at the keyway. Use Cs = 1 with these values.)
(1)
Forces act at 375-mm dia.
(2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72e168db-dd32-4cd0-b85a-173ecfa9ca4f%2F216672c8-5f39-4047-b160-6b41f802ab9a%2Fadd1q65_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Drawing 1 of Figure P8.51 shows a countershaft with helical gear (B), bevel gear
(D), and two supporting bearings (A and C). Loads acting on the bevel gear are
shown. Forces on the helical gear can be determined from equilibrium of moments
about the shaft axis plus the given proportions of the helical gear force components.
Shaft dimensions are given in drawing 2. All shoulder fillets (at points where diam-
eter changes) have a radius of 5 mm. Note that the shaft is designed so that only bear-
ing A takes thrust. The shaft is made of hardened steel, S, = 1069 MPa,
S, = 896 MPa. All important surfaces are finished by grinding.
8.51
(a) Draw load, shear force, and bending moment diagrams for the shaft in the xy
and xz planes. Also draw diagrams showing the intensity of the axial force and
torque along the length of the shaft.
(b) At points B, C, and E of the shaft, calculate the equivalent stresses in prepara-
tion for determining the fatigue safety factor. (Note: Refer to Table 8.2.)
(c) For a reliability of 99% (and assuming a standard deviation of o = 0.08S,),
estimate the safety factor of the shaft at points B, C, and E.
[Ans.: (c) 5.0, 6.8, and 5.8, respectively]
Forces act at 500-mm dia.
В
550
D
400
400
450
F, = 1.37 kN
F, = 5.33 kN
F2 = 0.3675F,
F = 0.2625F,
120 dia.
E
Keyway
80 dia.
Fy
F = 1.37 kN
(K= 1.6 for bend and torsion; 1.0 for axial
load all at the keyway. Use Cs = 1 with these values.)
(1)
Forces act at 375-mm dia.
(2)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
Knowledge Booster
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.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY