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.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Strain Energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY