The thin steel cylinder just fits over the inner aluminum cylinder as shown in Fig. 4-7. Find the tangential stresses in each shell due to a temperature rise of 33°C. Do not consider the effects introduced by the accompanying axial expansion. (This arrangement is sometimes used for storing corrosive fluids.) Use E = 200 GPa α = 17.3 x 106/C Eal = 72 GPa αal = 22.5×10/°C SOLUTION: The simplest approach is to first consider the two shells to be separated from one another so that they are no longer in contact. 51 cm 50.5 cm 50 cm Steel Aluminum Fig. 4-7

Structural Analysis
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Chapter2: Loads On Structures
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The thin steel cylinder just fits over the inner aluminum cylinder as shown in Fig. 4-7. Find the tangential
stresses in each shell due to a temperature rise of 33°C. Do not consider the effects introduced by the
accompanying axial expansion. (This arrangement is sometimes used for storing corrosive fluids.) Use
Est = 200 GPa
Eal = 72 GPa
SOLUTION: The simplest approach is to first consider the two shells to be separated from one another so that
they are no longer in contact.
51 cm
150.5 cm
50 cm
α = 17.3x10-6/°C
= 22.5×10 %/°C
αal =
Steel
Aluminum
Fig. 4-7
Transcribed Image Text:The thin steel cylinder just fits over the inner aluminum cylinder as shown in Fig. 4-7. Find the tangential stresses in each shell due to a temperature rise of 33°C. Do not consider the effects introduced by the accompanying axial expansion. (This arrangement is sometimes used for storing corrosive fluids.) Use Est = 200 GPa Eal = 72 GPa SOLUTION: The simplest approach is to first consider the two shells to be separated from one another so that they are no longer in contact. 51 cm 150.5 cm 50 cm α = 17.3x10-6/°C = 22.5×10 %/°C αal = Steel Aluminum Fig. 4-7
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