Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Home Work for Thermal Stresses
1. Copper bar shown calculate the stresses when the temperature drop from 85 °C to 50 °C.
a = 0.000018/°C,
3.5 m
AL th = AL p.
a. T.L = PL/(AE)
a. T = o/E
o = a. T.E = 18 * 106 * 35 * 1.2 * 10 = 0.756 N/mm?
2. The concrete post (Ec = 3.6 x 106 psi and ac = 5.5 x 10-6/ OF) is reinforced with six steel
bars, each of 78 -in diameter (Es = 29 x 106 psi and as = 6.5 x 10-6/ OF). Determine the normal
stresses induced in the steel and in the concrete by a temperature rise of 650F.
6 ft
10 in.
10 in.
3. The assembly shown consists of an aluminum shell (Ea 10.6 x 106 psi, aa 12.9 x
10-6/ OF) fully bonded to a steel core (Es =29x106 psi, as = 6.5 x 10-6/ OF) and is
unstressed. Determine a) the largest allowable change in temperature if the stress in the
aluminum shell is not to exceed 6 ksi, (b) the corresponding change in length of the
assembly.
8 in.
0,75 in.
Aluminum shell
Steel
1.25 in.
core
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Transcribed Image Text:Home Work for Thermal Stresses 1. Copper bar shown calculate the stresses when the temperature drop from 85 °C to 50 °C. a = 0.000018/°C, 3.5 m AL th = AL p. a. T.L = PL/(AE) a. T = o/E o = a. T.E = 18 * 106 * 35 * 1.2 * 10 = 0.756 N/mm? 2. The concrete post (Ec = 3.6 x 106 psi and ac = 5.5 x 10-6/ OF) is reinforced with six steel bars, each of 78 -in diameter (Es = 29 x 106 psi and as = 6.5 x 10-6/ OF). Determine the normal stresses induced in the steel and in the concrete by a temperature rise of 650F. 6 ft 10 in. 10 in. 3. The assembly shown consists of an aluminum shell (Ea 10.6 x 106 psi, aa 12.9 x 10-6/ OF) fully bonded to a steel core (Es =29x106 psi, as = 6.5 x 10-6/ OF) and is unstressed. Determine a) the largest allowable change in temperature if the stress in the aluminum shell is not to exceed 6 ksi, (b) the corresponding change in length of the assembly. 8 in. 0,75 in. Aluminum shell Steel 1.25 in. core
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