Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 4.6, Problem 4.71P
The two cylindrical rod segments are fixed to the rigid walls such that there is a gap of 0.01 in. between them when T1 = 60°F. What larger temperature T2 is required in order to just close the gap? Each rod has a diameter of 1.25 in. Determine the average normal stress in each rod if T2 = 300°F. Take αal =13(10-6)/°F, Eal =10(103) ksi, (σγ)al =40 ksi, α cu =9.4(10-6)/°F, Ecu = 15(103) ksi, and (σγ)cu=50 ksi.
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The two cylindrical rod segments are fixed to the rigid walls
such that there is a gap of 0.01 in. between them when
T₁ = 60°F. What larger temperature T₂ is required in order
to just close the gap? Each rod has a diameter of 1.25 in.
Determine the average normal stress in each rod if
T₂ al
= 300°F. Take a = 13(106)/°F, E = 10(10³) ksi.
9.4(10)/°F. Ecu 15(10³) ksi, and
= 40 ksi. acu
(y)al
(vy)cu <= 50 ksi.
Copper
-12 in
When the temperature is 10°C, the two rods are separated by a 0.5-mm
0.5 mm
gap as shown. If the temperature rises to 90°C, determine
(a) the normal stress in each rod,
300 mm
250 mm
(b) the change in length of the stainless steel rod.
A
B
Aluminum
A = 2000 mm?
E = 75 GPa
a = 23 x 10-6/°C
Stainless steel
A = 800 mm?
E = 190 GPa
a = 17.3 x 10-/°C
Change the given to lamp=81 kg, AB=5mm, BC=9mm
Chapter 4 Solutions
Mechanics of Materials (10th Edition)
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