E10.12 Material and shape to suppress buckling (Figure E10.9). The figure shows a concept for a lightweight display stand. The stalk must support a mass m of 100 kg, to be placed on its upper surface at a height h, without failing by elastic buckling. It is to be made of stock tubing and must be as light as possible. Use the methods of Chapter 10 to derive a material index for the tubular material of the stalk of the stand that includes the shape of the section, described by the shape factor 121 A² where is the second moment of area and A is the section area of the stalk. The table summarizes the requirements. Load F = mg 2r Figure E10.9
E10.12 Material and shape to suppress buckling (Figure E10.9). The figure shows a concept for a lightweight display stand. The stalk must support a mass m of 100 kg, to be placed on its upper surface at a height h, without failing by elastic buckling. It is to be made of stock tubing and must be as light as possible. Use the methods of Chapter 10 to derive a material index for the tubular material of the stalk of the stand that includes the shape of the section, described by the shape factor 121 A² where is the second moment of area and A is the section area of the stalk. The table summarizes the requirements. Load F = mg 2r Figure E10.9
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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![E10.12 Material and shape to suppress buckling (Figure E10.9). The figure shows a
concept for a lightweight display stand. The stalk must support a mass m of 100 kg,
to be placed on its upper surface at a height h, without failing by elastic buckling. It
is to be made of stock tubing and must be as light as possible. Use the methods of
Chapter 10 to derive a material index for the tubular material of the stalk of the
stand that includes the shape of the section, described by the shape factor
121
A2
where is the second moment of area and A is the section area of the stalk. The
table summarizes the requirements.
Load F = mg
2r
Figure E10.9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb09bb5b-6dd2-4237-a5e1-8f476c6304af%2F807fc3dc-c558-459c-bfc9-560add30fff3%2Fw0881em_processed.png&w=3840&q=75)
Transcribed Image Text:E10.12 Material and shape to suppress buckling (Figure E10.9). The figure shows a
concept for a lightweight display stand. The stalk must support a mass m of 100 kg,
to be placed on its upper surface at a height h, without failing by elastic buckling. It
is to be made of stock tubing and must be as light as possible. Use the methods of
Chapter 10 to derive a material index for the tubular material of the stalk of the
stand that includes the shape of the section, described by the shape factor
121
A2
where is the second moment of area and A is the section area of the stalk. The
table summarizes the requirements.
Load F = mg
2r
Figure E10.9
![Function
Constraints
Objective
Free variables
• Light weight column
•
Specified buckling load F
• Height h specified
• Minimize mass m
• Choice of material
• Section shape and scale](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb09bb5b-6dd2-4237-a5e1-8f476c6304af%2F807fc3dc-c558-459c-bfc9-560add30fff3%2F0llf3j7_processed.png&w=3840&q=75)
Transcribed Image Text:Function
Constraints
Objective
Free variables
• Light weight column
•
Specified buckling load F
• Height h specified
• Minimize mass m
• Choice of material
• Section shape and scale
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