Text for advanced undergraduates and graduate students features numerous problems with complete answers. Topics include torsion, rotating disks, membrane stresses in shells, bending of flat plates, more. 1952 edition.

J. P. Den Hartog: The Reprint Engineer
J. P. Den Hartog (1901-1989), who taught for most of his career at MIT, was one of the founders of the Dover reprint program in engineering. As the author of several books that Dover reprinted and still has in print, and as an advisor from the 1950s until just a few years before his death in 1989, Professor Den Hartog gave invaluable advice concerning books of lasting interest and importance in his field.
Not many books in engineering have a productive shelf life spanning several decades. Among the exceptions are these four books of Professor Den Hartog, which Dover reprinted and occasionally revised in later printings from 1961 through 1987: Mechanics, 1961, Strength of Materials, 1961, Mechanical Vibrations, 1985, and Advanced Strength of Materials, 1987. Still widely read and cited by authors in these areas, Den Hartog's books are a tribute to his gift for exposition and clarity.
The J. P. Den Hartog Award, established in 1987, is presented in recognition of lifetime contributions to the teaching and practice of vibration engineering.

Preface
Notation
CHAPTER I. TORSION
1. Non-circular Prisms
2. Saint-Venant's Theory
3. Prandtl's Membrane Analogy
4. Kelvin's Fluid-flow Analogy
5. Hollow Sections
6. Warping of the Cross Sections
7. Round Shafts of Variable Diameter
8. Jacobsen's Electrical Analogy
CHAPTER II. ROTATING DISKS
9. Flat Disks
10. Disks of Variable Thickness
11. Disks of Uniform Stress
CHAPTER III. MEMBRANE STRESSES IN SHELLS
12. General Theory
13. Applications
14. Shells of Uniform Strength
15. Non-symmetrical Loading
CHAPTER IV. BENDING OF FLAT PLATES
16. General Theory
17. Simple Solutions; Saint-Venant's Principle
18. Circular Plates
19. Catalogue of Results
20. Large Deflections
CHAPTER V. BEAMS ON ELASTIC FOUNDATION
21. General Theory
22. The Infinite Beam
23. Semi-infinite Beams
24. Finite Beams
25. Applications; Cylindrical Shells
CHAPTER VI. TWO-DIMENSIONAL THEORY OF ELASTICITY
26. The Airy Stress Function
27. Applications to Polynomials in Rectangular Coordinates
28. Polar Coordinates
29. "Kirsch, Boussinesq, and Michell"
30. Plasticity
CHAPTER VII. THE ENERGY METHOD
31. The Three Energy Thereoms
32. Examples on Least Work
33. Proofs of the Theorems
34. Bending of Thin-walled Curved Tubes
35. Flat Plates in Bending
CHAPTER VIII. BUCKLING
36. Rayleigh's Method
37. Coil Springs; Beams on Elastic Foundation
38. Proof of Rayleigh's Theorem
39. Vianello's or Stodola's Method
40. "Rings, Boiler Tubes, and Arches"
41. Twist-bend Buckling of Beams
42. Buckling of Shafts by Torsion
43. Twist Buckling of Columns
44. Thin Flat Plates
CHAPTER IX. MISCELLANEOUS TOPICS
45. Mohr's Circle for Three Dimensions
46. Torsion of Pretwisted Thin-walled Sections
47. The Theorems of Biezeno and Spielvogel
Problems
Answers to Problems
Index