EBK STATICS AND MECHANICS OF MATERIALS
5th Edition
ISBN: 8220102955295
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 9.2, Problem 3P
The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of end A with respect to end D and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C.
Aluminum | Copper | Steel |
Eal = 10(103) ksi | Ecu = 18(103) ksi | Est =29(103) ksi |
AAB = 0.09 in2 | ABC = 0.12 in2 | ACD = 0.06 in2 |
Probs. 9-3/4
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1.
The composite shaft, consisting of aluminum, copper,
and steel sections, is subjected to the loading shown.
Determine the displacement of B with respect to C and the
normal stress in each section. The cross-sectional area and
modulus of elasticity for each section are shown in the figure.
Neglect the size of the collars at B and C.
Aluminum
Eal = 70 GPa
AAB = 58 mm²
9 kN
A
Copper
Ecu = 126 GPa
ABC = 77 mm²
450 mm
16 kN
斤。
16 kN
-300 mm
BL
Steel
Est = 200 GPa
ACD = 39 mm²
8 kN
8 kN
-400 mm
7 kN
4.3 The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading
shown. Determine the displacement of end A with respect to end D and the normal stress in each
section. The cross-sectional area and modulus of elasticity for each section are shown in the figure.
Neglect the size of the collars at Band C.
3.50 kip
1.75 kip
1.50 kip
2.00 kip
Steel
BL
3.50 kip
1.75 kip
Aluminum
Copper
Est = 29 (10)³ Ksi
-18 in-
-12 in-
-16 in-
Ecu = 18 (10)3 Ksi
ABC = 0.12 in?
Eal = 10(10)³ Ksi
AcD = 0.09 6in²
= 0.09 in?
AAB
Question 1
Determine the maximum stresses in
the stepped shaft composite of two
materials steel and Aluminum that
fixed at the two ends as shown in
Figure. It is subjected to a torque of
300 N.m at the section C. The larger
section is of Aluminum and the
smaller one is of steel. Gs = 82 GPa
and Gal = 27 GPa. *
%3D
150
B
D
St
Al
50
300 N.m
600
- 500 –
1 Add file
Chapter 9 Solutions
EBK STATICS AND MECHANICS OF MATERIALS
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