A cantilever graphene column has a stress-strain relationship shown in Eqn.1. The section of the column is shown in Fig. 4. The length of the column is 5 mm and buckling in the weak (2) axis is fully prevented. It is required to: (1) Calculate the critical buckling force (Ner) for the column using the tangential modulus theory. (2) Why does the tangential modulus theory typically underestimate the critical buckling load? What is the solution for this issue? o = 1000ɛ – 2000ɛ²(GPa) (Eqn. 1) 4.0 1.0 4.0 1.0 Fig.4. Graphene column (mm).
A cantilever graphene column has a stress-strain relationship shown in Eqn.1. The section of the column is shown in Fig. 4. The length of the column is 5 mm and buckling in the weak (2) axis is fully prevented. It is required to: (1) Calculate the critical buckling force (Ner) for the column using the tangential modulus theory. (2) Why does the tangential modulus theory typically underestimate the critical buckling load? What is the solution for this issue? o = 1000ɛ – 2000ɛ²(GPa) (Eqn. 1) 4.0 1.0 4.0 1.0 Fig.4. Graphene column (mm).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A cantilever graphene column has a stress-strain relationship shown in Eqn.1. The
section of the column is shown in Fig. 4. The length of the column is 5 mm and buckling in
the weak (z) axis is fully prevented. It is required to:
(1) Calculate the critical buckling force (Ner) for the column using the tangential
modulus theory.
(2) Why does the tangential modulus theory typically underestimate the critical buckling
load? What is the solution for this issue?
o=1000-2000&² (GPa)
(Eqn. 1)
4.0
4.0
y
1.0
Fig.4. Graphene column (mm).
1.0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa62a46ce-43c7-4b17-80ae-d6e06c20bacd%2F44076e30-2db6-49a9-bc8a-1e014e6a66db%2Fia49e85_processed.png&w=3840&q=75)
Transcribed Image Text:A cantilever graphene column has a stress-strain relationship shown in Eqn.1. The
section of the column is shown in Fig. 4. The length of the column is 5 mm and buckling in
the weak (z) axis is fully prevented. It is required to:
(1) Calculate the critical buckling force (Ner) for the column using the tangential
modulus theory.
(2) Why does the tangential modulus theory typically underestimate the critical buckling
load? What is the solution for this issue?
o=1000-2000&² (GPa)
(Eqn. 1)
4.0
4.0
y
1.0
Fig.4. Graphene column (mm).
1.0
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