3.23. The structure in Fig. P3.23 is subjected to an increase in temperature, AT = 80°C. Deter- mine the displacements, stresses, and support reactions Solve this problem by hand cal- culation, using the elimination method for handling boundary conditions. P, = 60 kN P2= 75 kN P2+ AT = 80 °C 400 mm 800 mm -600 mm- Bronze Aluminum Steel A = 2400 mm2 E = 83 GPa a = 18.9 × 10-6rc 23 × 10-4c 11.7 × 10-4°C 1200 mm2 600 mm? 70 GPa 200 GPa

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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3.23. The structure in Fig. P3.23 is subjected to an increase in temperature, AT = 80°C. Deter-
mine the displacements, stresses, and support reactions. Solve this problem by hand cal-
culation, using the elimination method for handling boundary conditions.
P = 60 kN
P2 = 75 kN
P1
P -
AT = 80°C
-800 mm-
400 mm
+600 mm+
Bronze
Aluminum
Steel
A = 2400 mm?
E = 83 GPa
а- 18.9 х 10-бС 23х10-6/с 11.7 x 10-6/°C
1200 mm?
600 mm?
70 GPa
200 GPa
(1 GPa = 10° N/m?)
FIGURE P3.23
Transcribed Image Text:3.23. The structure in Fig. P3.23 is subjected to an increase in temperature, AT = 80°C. Deter- mine the displacements, stresses, and support reactions. Solve this problem by hand cal- culation, using the elimination method for handling boundary conditions. P = 60 kN P2 = 75 kN P1 P - AT = 80°C -800 mm- 400 mm +600 mm+ Bronze Aluminum Steel A = 2400 mm? E = 83 GPa а- 18.9 х 10-бС 23х10-6/с 11.7 x 10-6/°C 1200 mm? 600 mm? 70 GPa 200 GPa (1 GPa = 10° N/m?) FIGURE P3.23
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