The pin-connected structure shown in Fig. P5-68 consists of a rigid bar ABCD, a steel [E = 210 GPa, and α = 11.9(10−6)/°C] bar BF, and an aluminum alloy [E = 73 Gpa and α = 22.5(10−6)/°C] bar CE. The cross-sectional areas are 1200 mm2 for bar BF and 900 mm2 for bar CE. The bars are unstressed when the structure is assembled at 40°C. Determine a. The normal stresses in the bars after the temperature is reduced to − 20° C. b. The shearing stresses in the 30-mm-diameter pins at A, B, and C. Pin B is in double shear, and pins A and C are in single shear. c. The vertical component of the displacement of pin D from it original position. Figure P5-68
The pin-connected structure shown in Fig. P5-68 consists of a rigid bar ABCD, a steel [E = 210 GPa, and α = 11.9(10−6)/°C] bar BF, and an aluminum alloy [E = 73 Gpa and α = 22.5(10−6)/°C] bar CE. The cross-sectional areas are 1200 mm2 for bar BF and 900 mm2 for bar CE. The bars are unstressed when the structure is assembled at 40°C. Determine a. The normal stresses in the bars after the temperature is reduced to − 20° C. b. The shearing stresses in the 30-mm-diameter pins at A, B, and C. Pin B is in double shear, and pins A and C are in single shear. c. The vertical component of the displacement of pin D from it original position. Figure P5-68
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The pin-connected structure shown in Fig. P5-68 consists of a rigid bar ABCD, a steel [E = 210 GPa, and α = 11.9(10−6)/°C] bar BF, and an aluminum alloy [E = 73 Gpa and α = 22.5(10−6)/°C] bar CE. The cross-sectional areas are 1200 mm2 for bar BF and 900 mm2 for bar CE. The bars are unstressed when the structure is assembled at 40°C. Determine
a. The normal stresses in the bars after the temperature is reduced to − 20° C.
b. The shearing stresses in the 30-mm-diameter pins at A, B, and C. Pin B is in double shear, and pins A and C are in single shear.
c. The vertical component of the displacement of pin D from it original position.
Figure P5-68
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