Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 4.2, Problem 4.3P
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.
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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
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
The cylindrical steel column has an outer diameter of 90 mm and inner diameter of 80 mm. The
column is separated from the concrete foundation by a square bearing plate with the dimension
of 160 mm x 160 mm. The working compressive and tensile stresses are 180 MPa and 200 MPa
respectively, while the working bearing stress of concrete is 10 MPa. Find the largest force P
that can be applied to the column.
Sleel
Concrete Foundation
Bearing Plane
Chapter 4 Solutions
Mechanics of Materials
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