The Pennsylvania State University

CE 447

I. Introduction, Definitions and Concepts

Topics:

· History of Structural Analysis

· Overview of Analysis Computer Programs

· Review of Matrix Mathematics

· Degrees of Freedom

· Coordinate Systems

· Indeterminacy

· Structure Idealization

II. The Flexibility Method

· Formulation of the Basic Equations

· Application to Trusses

III. Formation of the Global Analysis Equations

· Axial Force Elements: Force-Displacement Relationships, Global Stiffness Equations

· Direct Stiffness Method: Basics and Procedure

IV. Stiffness Analysis of Frames

· Stress-Strain Relationships

· Work and Energy

· Reciprocity

· Stiffness-Flexibility, Flexibility-Stiffness Transformations

· Framework Element Stiffness (12 DOF)

· Deformations and Displacements

· Coordinate Transformations

· Loads between Nodal Points

· Self-Straining Problems: Initial (Pre-) and Thermal Strains

V. Nonlinear Analysis of Frames – An Introduction

· Nonlinear Behavior and Analysis

The Pennsylvania State University

CE 447

Tentative Outline (cont.):

VI. The Finite Element Method

· Basic Concepts, Relationships

· Plane Stress Element

· Global Analysis

· Features and Other Aspects

· Matrix Condensation

· Substructuring

· Joint Coordinates

· Connections and Joints

· Symmetry and Antisymmetry

The Pennsylvania State University

CE 447 – Matrix Structural Analysis

Fall Semester 1999

Academic Honesty:

From the PSU web site:

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Homework:

Problems are to be submitted one week after their assignment. You have 24

hrs. after receiving a graded homework set to question the grades that were given.

All questions and concerns must be submitted in writing.

Exams:

NO make-up exams will be given except as required by University policy. See me at

least 24 hrs. prior to any anticipated absence. You have 24 hrs. after receiving a

graded exam to question the grade that was given. All questions and concerns must

be submitted in writing.