Engineering Statics with MATLAB®

Lester W. Schmerr Jr. (Iowa State University, Ames, Iowa, USA 50010)

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English

Chapman & Hall/CRC
07 March 2024

Engineering: general; Mechanical engineering; Mathematical & statistical software

Series: Advances in Applied Mathematics

This text makes use of symbolic algebra and vector-matrix algebra to demonstrate a new approach to learning statics. Symbolic solutions are obtained, together with the types of solutions covered in other texts, so that students can see the advantages of this new approach.

This innovative text is an extension of second-generation vector Statics courses to a new, third-generation matrix-vector Statics course, a course that addresses deformable as well as rigid bodies and employs MATLAB®.

MATLAB® is used as a “calculator” whose built-in functions are used to solve statics problems. This text uses vectors and matrices to solve both statically determinate rigid body problems and statically indeterminate problems for deformable bodies.

The inclusion of statically indeterminate problems is unique to this text. It is made possible by using symbolic algebra and a new, simplified vector-matrix formulation that combines the equations of equilibrium, the homogeneous solutions to those equations, and a description of the flexibilities found in the deformable elements of a structure to solve directly for the unknown forces/moments.

By: Lester W. Schmerr Jr. (Iowa State University Ames Iowa USA 50010)
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 2.110kg
ISBN: 9781032437002
ISBN 10: 1032437006
Series: Advances in Applied Mathematics
Pages: 418
Publication Date: 07 March 2024
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

1. Introduction to Statics and the Concept of Force. 2. Moments and Couples. 3. Equivalent Systems and Resultants. 4. Equilibrium. 5. Trusses. 6. Frames and Machines. 7. Centroids. 8. Beams. 9. Frictional Forces. 10. Statically Indeterminate Structures. 11. Area Moments and Mass Moments of Inertia.

Lester W. Schmerr Jr. holds a PhD in Mechanics from the Illinois Institute of Technology and a BS in Aeronautics and Astronautics from MIT. He is Professor Emeritus at Iowa State University, where he taught and conducted research for four decades.