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8/10/2019 Presentation on Truss Design
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Introduction to Finite Element Methods - Lifeng Wang
Chapter 3 Development of Truss
Equations
MEC 539
Instructor: Dr. Lifeng Wang
Introduction to Finite Element Methods - Lifeng Wang2
Principle of Minimum Potential Energy
Of all the geometrically possible shapes that a body
can assume, the true one, corresponding to the
satisfaction of stable equilibrium of the body, is
identified by a minimum value of the total potential
energy.
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Principle of Minimum Potential Energy
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Principle of Minimum Potential Energy
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Principle of Minimum Potential Energy
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Principle of Minimum Potential Energy
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Example: Example 2.5
Example 2.5
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Example: Problem 2.5
Solution: Example 2.5
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Example: Problem 2.5
Solution: Problem 2.5
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Truss
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Truss
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Truss
Derivation of the Stiffness Matrix for a Bar Element
in Local Coordinates
Introduction to Finite Element Methods - Lifeng Wang14
Truss
differential equation
governing the linear-elastic
bar behavior as
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Truss
Derivation of the Stiffness Matrix
Step 1 Select the Element Type
Step 2 Select a Displacement Function
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Truss
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Truss
Step 3 Define the Strain/Displacement and Stress/Strain
Relationships
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Truss
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Truss
Step 7 Solve for the Element Forces
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Truss
Examples 3.1
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Truss
Solution
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Truss
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Truss
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Truss
Introduction to Finite Element Methods - Lifeng Wang26
Truss
Break (10 minutes)!
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Truss
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Truss
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TrussExamples 3.2
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TrussExamples 3.3
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Truss
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Truss
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Truss
Local to Global
Global to Local
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Homework #2
2.22 Solve P2.15 by potential energy approach
3.7, 3.16determine the nodal displacements, the forces in each
element, and the reactions.
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Homework #2