Welcome to the course, review of fundamental concepts - equilibrium of rigid bodies, internal forces, external forces, differences between trusses, frames and machines.

Welcome to the course and outline of course.

Welcome

Meaning and use of internal and external forces in the analysis of a structure.

Internal and external forces

Meaning, similarities and differences between trusses, frames and machines.

Trusses, frames and machines

Review of the conditions of equilibrium for a rigid body, in two and three dimensions.

Equilibrium conditions

Introduction

Meaning, classification, load transmission and modelling of planar trusses.

How load is transmitted to the joints in trusses - use of purlins in roof trusses, stringers, floor beam and deck in bridge trusses.

Load transmission

Simplifying joint connections and load conditions of trusses for analysis.

Modelling trusses

Basic make-up of simple trusses - from triangular to bigger ones.

Simple trusses

Identifying if a member is under tensile or compressive load.

Tensile and compressive forces

Planar Trusses (1)

Analysis of planar trusses by the method of joints.

General procedure for analysis of trusses by the method of joints.

Procedure

Identifying members of a truss that bear no load, by the method of joints.

Zero-force members

The principle of analysis of trusses using the method of joints.

Method of joints

More worked examples on analysis of planar trusses by the method of joints.

Worked examples (3)

Worked examples on analysis of planar trusses by the method of joints.

Worked examples (1)

Worked examples (2)

Worked examples (4)

Worked examples (5)

Planar Trusses (2)

Analysis of planar trusses by the method of sections.

General procedure for analysis of planar trusses using the method of sections.

More worked examples on analysis of planar trusses by the method of sections.

Worked examples on analysis of planar trusses by the method of sections.

Planar Trusses (3)

Modelling and analysis of space trusses - by methods of joints and sections.

General procedure for analysis of space trusses - by methods of joints and sections.

Space trusses and simplifying assumptions on load transmission and joint connections.

Modelling

Worked examples on analysis of space trusses - using method of joints for space trusses.

More worked examples on analysis of space trusses - identifying zero-force members in space trusses.

More worked examples on analysis of space trusses - using method of sections for space trusses.

Space Trusses

Analysis of frames under various loading conditions.

General procedure for the analysis of frames.

More worked examples on the analysis of frames.

Worked examples on the analysis of frames.

Frames

Analysis of machines under various loading conditions.

More worked examples on the analysis of machines.

Worked examples on the analysis of machines.

Machines

Analysis of trusses, frames and machines.

Tutorials for undergraduates in engineering and physical sciences.

Analysis of Structures - Engineering Mechanics (Statics)

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