An aluminum alloy [E = 72 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 = 255 mm, a cross-sectional area of A = 6500 mm2, and a length of L = 4.6 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 = 68°C, the longitudinal normal strain in the plate is found to be 2570 με. Determine: (a) the magnitude of load P. (b) the change in plate depth Δd.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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An aluminum alloy [E = 72 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 = 255 mm, a cross-sectional area of A = 6500 mm2, and a length of L = 4.6 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 = 68°C, the longitudinal normal strain in the plate is found to be 2570 με.  Determine:

(a) the magnitude of load P.

(b) the change in plate depth Δd.

An aluminum alloy [E = 72 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 = 255 mm,
a cross-sectional area of A = 6500 mm², and a length of L = 4.6 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 = 68°C, the longitudinal normal strain in the plate is found to be
2570 με. Determine:
(a) the magnitude of load P.
(b) the change in plate depth Ad.
L
Answer:
(a) P =
i
(b) Δd = i
KN
mm
Transcribed Image Text:An aluminum alloy [E = 72 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 = 255 mm, a cross-sectional area of A = 6500 mm², and a length of L = 4.6 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 = 68°C, the longitudinal normal strain in the plate is found to be 2570 με. Determine: (a) the magnitude of load P. (b) the change in plate depth Ad. L Answer: (a) P = i (b) Δd = i KN mm
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