An aluminum alloy [E = 67 GPa; v=0.33; a = 23.0 × 10-6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 225 mm, a cross-sectional area of A = 5100 mm², and a length of L = 4.1 m. The initial longitudinal normal strain in the plate is zero. After load P is applied and the temperature of the plate has been increased by AT = 63°C, the longitudinal normal strain in the plate is found to be 2900 με. Determine: (a) the magnitude of load P. (b) the change in plate depth Ad. L P Answer: (a) P = i (b) Δd = i KN mm
An aluminum alloy [E = 67 GPa; v=0.33; a = 23.0 × 10-6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 225 mm, a cross-sectional area of A = 5100 mm², and a length of L = 4.1 m. The initial longitudinal normal strain in the plate is zero. After load P is applied and the temperature of the plate has been increased by AT = 63°C, the longitudinal normal strain in the plate is found to be 2900 με. Determine: (a) the magnitude of load P. (b) the change in plate depth Ad. L P Answer: (a) P = i (b) Δd = i KN mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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An aluminum alloy [E = 67 GPa; ν = 0.33; α = 23.0 × 10–6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 225 mm, a cross-sectional area of A = 5100 mm2, and a length of L = 4.1 m. The initial longitudinal normal strain in the plate is zero. After load P is applied and the temperature of the plate has been increased by ΔT = 63°C, the longitudinal normal strain in the plate is found to be 2900 με. Determine:
(a) the magnitude of load P.
(b) the change in plate depth Δd.
![An aluminum alloy [E = 67 GPa; v=0.33; a = 23.0 × 10-6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 225 mm,
a cross-sectional area of A = 5100 mm², and a length of L = 4.1 m. The initial longitudinal normal strain in the plate is zero. After load P
is applied and the temperature of the plate has been increased by AT = 63°C, the longitudinal normal strain in the plate is found to be
2900 με. Determine:
(a) the magnitude of load P.
(b) the change in plate depth Ad.
L
P
Answer:
(a) P = i
(b) Δd = i
KN
mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0340ab0c-e54f-482a-bc54-4a3b868cdaba%2F11d451d7-8210-48c3-99be-0d9c42f7cd2b%2Fqm1qptf_processed.png&w=3840&q=75)
Transcribed Image Text:An aluminum alloy [E = 67 GPa; v=0.33; a = 23.0 × 10-6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 225 mm,
a cross-sectional area of A = 5100 mm², and a length of L = 4.1 m. The initial longitudinal normal strain in the plate is zero. After load P
is applied and the temperature of the plate has been increased by AT = 63°C, the longitudinal normal strain in the plate is found to be
2900 με. Determine:
(a) the magnitude of load P.
(b) the change in plate depth Ad.
L
P
Answer:
(a) P = i
(b) Δd = i
KN
mm
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