Structures I Topics (Spring 1998)

The following topics and their links have been developed for the first course in the structures sequence. Each one contains both written text and graphic information as well as example problems and references for further reading.

Introduction

• Four on the Floor!
• What is S T R U C T U R E ?
• The Role of Structural Failure

Concepts for Statics

• What is a Force?
• Moments
• Equilibrium
• Elements of Coplanar Force Resolution
• Graphic Methods of Coplanar Force Resolution
• Algebraic Methods of Coplanar Force Resolution
• Principle of Moments
• Non-Concurrent, Non-Parallel Force systems
• Couples

Conceptualizing Structures

• Supports
• Free Body Diagrams
• Two- and Three-Force Members
• Multiple Force Members

External Actions

• Primary Loads
• Lateral Loads
• Load Distribution
• Resolution of Distributed Loads
• Resolution of Multiple Loads

Internal Reactions

• Strength of Materials
• Stress and Stress Prisms
• Stress-Strain Curves
• Elasticity and Deformation
• Secondary Loads
• Thermal Stresses
• Centroids and Moment of Inertia

Structural Archtypes

• Cables and the Catenary
• Nets and Surfaces
• The Arch and the Catenary
• Domes and Shells
• Columns
• Radius of Gyration and Buckling
• Beams
• Beam Failure Modes
• Internal Forces
• Shear (V) and Shear Diagrams
• Moment (M) and Moment Diagrams
• Plotting V, M and Deflection
• Development of Structural Form
• Bending Stress
• Shearing Stress
• Beam Deflection
• Beam Sizing

Simple Structural Systems

• Introduction to Trusses
• Trusses: Past and Present
• Analysis of Trusses by Joints
• Analysis of Trusses by Sections
• Graphic Analysis of Trusses
• Frames