22. An 8 foot long aluminum I-Beam with a cross sectional area of 24 in is placed between two walls whenit is at a temperature of dry ice (-110°F). At this temperature the beam contacts both walls, but thereis zero force between the beam and the walls.The beam and its surroundings are then heated to room temperature ( 75°F ),(a) Determine the force the walls exert on the beam as a result of this temperature change.(b) Determine the axial stress in the beam as a result of this temperature change.(c) If the beam was not constrained by the walls, what would be its change in length?8 ft

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Answered: 2. An 8 foot long aluminum I-Beam with…

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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2. An 8 foot long aluminum I-Beam with a cross sectional area of 24 in is placed between two walls when
it is at a temperature of dry ice (-110°F). At this temperature the beam contacts both walls, but there
is zero force between the beam and the walls.
The beam and its surroundings are then heated to room temperature ( 75°F ),
(a) Determine the force the walls exert on the beam as a result of this temperature change.
(b) Determine the axial stress in the beam as a result of this temperature change.
(c) If the beam was not constrained by the walls, what would be its change in length?
8 ft

Expert Solution

Step 1: Determine the given data

$straight A equals 24 space in squared straight T subscript 1 equals negative 110 straight F presuperscript 0 equals negative 78.89 to the power of 0 straight C straight T subscript 2 equals 75 straight F presuperscript 0 equals 23.89 to the power of 0 straight C To space determine colon straight a right parenthesis The space force space the space walls space exert space on space the space beam space as space straight a space result space of space temperature space change straight b right parenthesis The space axial space stress space in space the space beam space as space straight a space result space of space temperature space change straight c right parenthesis The space change space in space length$

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