This course introduces analysis techniques for complex structures and the role of material properties in structural design, failure, and longevity.
666 years, 7 months
24
Students will learn about the energy principles in structural analysis and their applications to statically-indeterminate structures and solid continua. Additionally, the course will examine matrix and finite-element methods of structured analysis including bars, beams, and two-dimensional plane stress elements. Structural materials and their properties will be considered, as will metals and composites. Other topics include modes of structural failure, criteria for yielding and fracture, crack formation and fracture mechanics, and fatigue and design for longevity. Students are expected to apply these concepts to their own structural design projects.
Course Currilcum
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- Introduction Unlimited
- Stress and Momentum Balance Unlimited
- Mathematical Aside: Vectors, Indicial Notation and Summation Convention Unlimited
- Kinematics of Deformation Unlimited
- Thermodynamics Principles Unlimited
- Constitutive Equations Unlimited
- Boundary Value Problems of Linear Elasticity Unlimited
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- Concepts of Work and Energy Unlimited
- Strain Energy and Potential Energy of a Beam Unlimited
- Principles of Virtual Displacements Unlimited
- Principles of Virtual Forces Unlimited
- Calculus of Variations Unlimited
- Principle of Minimum Potential Energy and Castigliano’s First Theorem Unlimited
- Approximate Methods Unlimited
- The Ritz Method Cont. Unlimited
- The Finite Element Method Unlimited
- The Finite Element Method II Unlimited
- The Finite Element Method III Unlimited
- The Finite Element Method IV: Imposition of Boundary Conditions Unlimited
- Finite Element Model of a Beam Unlimited
- The Finite Element Method V: For Three-Dimensional Elasticity Problems Unlimited
- Formulation of Isoparametric Elements Unlimited
- Numerical Integration Unlimited
- Failure, Fracture, and Fatigue Unlimited
