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2. An 8 foot long aluminum I-Beam with a cross sectional area of 24 in² 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? 국 8 ft

2. An 8 foot long aluminum I-Beam with a cross sectional area of 24 in² 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? 국 8 ft

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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2 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
Transcribed Image Text:2 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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