A composite shaft consists of 3 cylinders that are made from aluminum, copper and steel. Multiple axial loads are applied. The radii and Elastic Moduli of the cylinders are given. Neglect the size of collars B and C. F₁ Aluminum Eal [1 Copper Ecu r2 -F₂ Steel Est r3 - Fa F₁ F₁

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
A composite shaft consists of 3 cylinders that are made from
aluminum, copper and steel. Multiple axial loads are applied.
The radii and Elastic Moduli of the cylinders are given.
Neglect the size of collars B and C.
F₁
Aluminum
Eal
r1
F₁
F₂
F3
FA
d₁
d₂
d3
F₂
H
F₂
B
d₁
Copper
Ecu
r2
T1
72
T3
Ealuminum
Ecopper
Esteel
Value
C
1.75 KN
5.75 KN
2 KN
5.75 KN
0.5 m
0.2 m
0.3 m
0.16 m
0.28 m
0.12 m
74 GPa
112 GPa
202 GPa
Steel
Est
[3
d3
Values for the figure are given in the following table. Note
the figure may not be to scale.
Variable
F₂
F₂
D
F₁
a. Determine the normal stress in section AB, OAB.
b. Determine the normal stress in section BC, OBC.
c. Determine the normal stress in section CD, gcn.
Transcribed Image Text:A composite shaft consists of 3 cylinders that are made from aluminum, copper and steel. Multiple axial loads are applied. The radii and Elastic Moduli of the cylinders are given. Neglect the size of collars B and C. F₁ Aluminum Eal r1 F₁ F₂ F3 FA d₁ d₂ d3 F₂ H F₂ B d₁ Copper Ecu r2 T1 72 T3 Ealuminum Ecopper Esteel Value C 1.75 KN 5.75 KN 2 KN 5.75 KN 0.5 m 0.2 m 0.3 m 0.16 m 0.28 m 0.12 m 74 GPa 112 GPa 202 GPa Steel Est [3 d3 Values for the figure are given in the following table. Note the figure may not be to scale. Variable F₂ F₂ D F₁ a. Determine the normal stress in section AB, OAB. b. Determine the normal stress in section BC, OBC. c. Determine the normal stress in section CD, gcn.
Values for the figure are given in the following table. Note
the figure may not be to scale.
Variable
O AB=
OBC=
8
F₁
F2
F3
FA
d₁
d₂
72
73
Ealuminum
Ecopper
Esteel
OCD=
d3
=
T1
a. Determine the normal stress in section AB, OAB.
b. Determine the normal stress in section BC, OBC.
c. Determine the normal stress in section CD, OCD.
Determine the displacement of end A with respect to
end D, 8₁.
d.
D
Round your final answers to 3 significant digits/figures.
Value
1.75 KN
5.75 KN
2 KN
5.75 kN
0.5 m
0.2 m
0.3 m
0.16 m
0.28 m
0.12 m
74 GPa
112 GPa
202 GPa
kPa
kPa
kPa
m
Transcribed Image Text:Values for the figure are given in the following table. Note the figure may not be to scale. Variable O AB= OBC= 8 F₁ F2 F3 FA d₁ d₂ 72 73 Ealuminum Ecopper Esteel OCD= d3 = T1 a. Determine the normal stress in section AB, OAB. b. Determine the normal stress in section BC, OBC. c. Determine the normal stress in section CD, OCD. Determine the displacement of end A with respect to end D, 8₁. d. D Round your final answers to 3 significant digits/figures. Value 1.75 KN 5.75 KN 2 KN 5.75 kN 0.5 m 0.2 m 0.3 m 0.16 m 0.28 m 0.12 m 74 GPa 112 GPa 202 GPa kPa kPa kPa m
Expert Solution
steps

Step by step

Solved in 3 steps with 35 images

Blurred answer
Knowledge Booster
Statics
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
  • SEE MORE 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