An aluminum bar (6061-T4) is initially 250.00 mm long at a temperature of 50°C. It is placed between two immovable end plates that are 260.00 mm apart. The gap between the bar and the two end plates is 1.0 mm. Determine the final temperature at which the gap between the bar and the two immovable end plates becomes 0.4 mm. Thermal expansion coefficient of aluminum is 23.4 x 10-6 C-1

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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 An aluminum bar (6061-T4) is initially 250.00 mm long at a
temperature of 50°C. It is placed between two immovable end plates that are
260.00 mm apart. The gap between the bar and the two end plates is 1.0 mm.
Determine the final temperature at which the gap between the bar and the two
immovable end plates becomes 0.4 mm. Thermal expansion coefficient of
aluminum is 23.4 x 10-6 C-1

The diagram illustrates a simple mechanical setup composed of three main components: 

1. **End Plate (left side)** - A rectangular block labeled as "End Plate" positioned vertically on the left side. 

2. **Bar** - A horizontal bar extending from the left end plate towards the right. The bar appears to be a solid beam with a uniform cross-section.

3. **End Plate (right side)** - Another rectangular block labeled as "End Plate" positioned vertically on the right side. It is similar in appearance to the left end plate.

**Gap**: There is a small space, labeled as "Gap," between the end of the bar and the right end plate. The distance of this gap is indicated with a double-headed arrow.

This setup might be used for studies on material expansion, contraction, or stress analysis, where the gap can provide measurable data on movement or displacement.
Transcribed Image Text:The diagram illustrates a simple mechanical setup composed of three main components: 1. **End Plate (left side)** - A rectangular block labeled as "End Plate" positioned vertically on the left side. 2. **Bar** - A horizontal bar extending from the left end plate towards the right. The bar appears to be a solid beam with a uniform cross-section. 3. **End Plate (right side)** - Another rectangular block labeled as "End Plate" positioned vertically on the right side. It is similar in appearance to the left end plate. **Gap**: There is a small space, labeled as "Gap," between the end of the bar and the right end plate. The distance of this gap is indicated with a double-headed arrow. This setup might be used for studies on material expansion, contraction, or stress analysis, where the gap can provide measurable data on movement or displacement.
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