A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi, α= 2.9 × 10−6 /°F] bar (1) and an aluminum alloy [E = 10,000 ksi, α= 12.5 × 10−6 /°F] bar (2), below. Each bar has a cross-sectional area of 2.00 in.2 . The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 26 kips is applied and the temperature is increased to 100°F, determine: (a) the normal stresses in bars (1) and (2). (b) the vertical deflection of joint D.
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi, α= 2.9 × 10−6 /°F] bar (1) and an aluminum alloy [E = 10,000 ksi, α= 12.5 × 10−6 /°F] bar (2), below. Each bar has a cross-sectional area of 2.00 in.2 . The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 26 kips is applied and the temperature is increased to 100°F, determine: (a) the normal stresses in bars (1) and (2). (b) the vertical deflection of joint D.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi, α= 2.9 × 10−6 /°F] bar (1) and an aluminum alloy [E = 10,000 ksi, α= 12.5 × 10−6 /°F] bar (2), below. Each bar has a cross-sectional area of 2.00 in.2 . The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 26 kips is applied and the temperature is increased to 100°F, determine: (a) the normal stresses in bars (1) and (2). (b) the vertical deflection of joint D.
![6 ft
2.5 ft
B
3 ft
C
P
8 ft
1.5 ft
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8d0aefe-c44c-410d-af9b-5d1160e3c1bc%2F685f3495-75c1-4cfd-abac-61b492b554f7%2Fsw4sedb_processed.png&w=3840&q=75)
Transcribed Image Text:6 ft
2.5 ft
B
3 ft
C
P
8 ft
1.5 ft
D
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