Download Advanced Mechanics of Materials Formula Sheet and more Cheat Sheet Mechanical Engineering in PDF only on Docsity!
Factor of safety
Equations of Equilibrium
3 - D (1.2)
2 - D
(1.4a) (1.4b) Normal Stress & Shearing Stress
State of Stress at a Point
Equality of Shearing Stresses (1.7a) (1.7b) 2 - D or Plane Stress
Internal Force Resultants – Stress Relations (1.9a) (1.9b) Normal Stress (1.1 0 ) Stresses on Inclined Sections (Axially Loaded Bar) (1.11a) (1.11b) (1.12) Differential Equations of Equilibrium
2 - D (1.13)
3 - D (1.14)
Ind. (1.15a) (1.15b) Plane Stress Transformation
(1.17a) (1.17b) (1.17c) (1.18a) (1.18b) (1.18c) Principal Stresses & Maximum In- Plane Shear Stresses
Mohr’s Circle for 2-D Stress
(1.28a) (1.28b) (1.28c) (1.28d) (1.28e) (1.28f) (1.29a) (1.29b) (1.29c) (1.30a) (1.30b) Principal Stresses in 3 - D
(1.34a) (1.34b) (1.34c) Principal Stresses in 2-D
Stresses on an Oblique Plane
(1.38a) (1.38b) (1.39) (1.40) (1.41) (1.42) Octahedral Stresses
Mohr’s Circle in 3 - D
Boundary Conditions i.t.o. Surface Forces
Strain Defined (2.1) Normal Strain (2. 2 ) Plane Strain (2.3a) (2.3b)
in 2-D (2.21) Displacement Field in 3 - D
Specimen Geometry Change (2.23a) (2.23b) True Strain (2. 24 ) True Stress (2. 25 ) Hooke’s Law 1-D
Poisson’s ratio (2. 28 ) Unit Volume Change
Deformation of a Tension Bar
(2.31a) (2.31b) Hooke’s Law Generalized (2.32) Indicial (2.33) Isotropic & Homegenous
Bulk Modulus of Elasticity
Hooke’s Law Orthotropic
Strain Rosette Normal Strains
Maximum Shearing Strain
Strain Rosette (Rectangular/45^0 ) Principal Strains (2.46a) Principal Stresses (2.46b) Principal Planes (2.46c) Strain Rosette (Delta/ 600 ) Principal Strains (2.47a) Principal Stresses (2.47b) Principal Planes (2.47c) Strain Energy Density (2.48) (for Normal Stress) Complementary^ (2.49) Strain Energy (for Shear Stress) Density (2.50) Strain Energy (for 3-D Stresses)
Strain Energy Common Structural Member
Axially Loaded Bar
Plane Strain
Polynomial Stress Functions
End Loaded Cantilever Beam (3.24) Equations of Thermoelasticity
(3.26a) (3.26b) (3.27) (3.28) (3.29) (3.30) Basic Relations in Polar Coordinate s
(3.33a ) (3.33b ) (3.33c) Plane Stress (3.34) Plane Strain (3.35) Transformatio n Equations
Compatibility Equations
Uniaxial Tension
Compression of a Wedge
Bending of a Wedge
Combined Compression & Bending of a Wedge
Straight Boundary of a (3.48) large Plate (3.49) (3.50) (3.51) poor
better
Stress Concentration Factors
Circular Hole in Tension (3.55a) (3.55b) (3.55c) Elliptic Hole in Tension
Contact Stresses Two Spheres in Contact
Theory Stress (4.11b) Coulomb-Mohr Theory (4.12a) (4.12b) (4.12c) (4.13) Torsion Bar
Fracture Mechanics Stress Intensity Factor
Fracture Toughness
Fatigue
Impact or Dynamic Loads
Pure Bending of Beams of Symmetrical Cross Section
(5.3a) (5.3b) (5.4) (5.5) (5.6) (5.7) (5.9a) (5.9b) (5.10) Pure Bending of Beams of Symmetrical Cross Section
Bending of cantilever of narrow Section (5.20a) (5.20b) (5.21) (5.22) (5.23) (5.24) (5.25a) (5.25b) (5.25c) Elementary Theory of
Bending (5.2 7 ) (5.28) (5.29) (5.30) (5.31) (5. 32 ) (5.33) (5.34) Displacements of a Cantilever Beam
Stresses in a Steel Crane Hook (5.7 5 a) (5.75b)
