EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
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Chapter 11.3, Problem 23P
Each member of the truss shown is made of aluminum and has the cross-sectional area shown. Using E = 10.5 × 106 psi, determine the strain energy of the truss for the loading shown.
Fig. P11.23
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Students have asked these similar questions
H.W.7 A rigid steel bar ABC is supported by three rods.
There is no strain in the rods before load P is applied. After
load P is applied, the axial strain in rod (1) is 1,200 µɛ.
(1)
2,000 mm
(a) Determine the axial strain in rods (2).
(b) Determine the axial strain in rods (2) if there is a 0.5 mm
gap in the connections between rods (2) and the rigid
bar before the load is applied.
520 mm
400 mm
1,250 mm
(2)
A steel cable is used to support an elevator cage at the bottom of a 1700-ft-deep mineshaft. A uniform normal strain of 220 μin./in. is
produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is
proportional to the length of the cable below the point. Assume D = 1700 ft and d= 700 ft. If the total normal strain in the cable at the
cable drum (upper end of the cable) is 520 uin./in., determine
(a) the strain in the cable at a depth of 700 ft.
(b) the total elongation of the cable.
Drum
Cable
Answers:
(a)
ε =
(b) 8 =
y
i
i
Elevator cage
D
X
μin./in.
in.
Prove that the sum of the normal strains in perpendicular directions is constant, i.e., Px + Py = Px′ + Py′
Chapter 11 Solutions
EBK MECHANICS OF MATERIALS
Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - Prob. 7PCh. 11.3 - Prob. 8PCh. 11.3 - Using E = 29 106 psi, determine (a) the strain...Ch. 11.3 - Using E = 200 GPa, determine (a) the strain energy...
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11.60 and 11.61 Using the method of work and...Ch. 11.5 - 11.60 and 11.61 Using the method of work and...Ch. 11.5 - 11.62 and 11.63 Using the method of work and...Ch. 11.5 - 11.62 and 11.63 Using the method of work and...Ch. 11.5 - Using the method of work and energy, determine the...Ch. 11.5 - Using the method of work and energy, determine the...Ch. 11.5 - The 20-mm diameter steel rod BC is attached to the...Ch. 11.5 - Torques of the same magnitude T are applied to the...Ch. 11.5 - Prob. 68PCh. 11.5 - The 20-mm-diameter steel rod CD is welded to the...Ch. 11.5 - The thin-walled hollow cylindrical member AB has a...Ch. 11.5 - 11.71 and 11.72 Each member of the truss shown has...Ch. 11.5 - 11.71 and 11.72 Each member of the truss shown has...Ch. 11.5 - Each member of the truss shown is made of steel...Ch. 11.5 - Each member of the truss shown is made of steel....Ch. 11.5 - Each member of the truss shown is made of steel...Ch. 11.5 - The steel rod BC has a 24-mm diameter and the...Ch. 11.9 - 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