The following textbooks are used in the reading assignments.
[CDL] = S. Crandall, N. Dahl, et al., An Introduction to the Mechanics of Solids (In SI Units), McGraw-Hill, 1978. ISBN: 9781259006531.
[AJ] = M. F. Ashby and D. R. H. Jones, Engineering Materials 1: An Introduction to Their Properties and Applications, Pergamon Press, 1980. ISBN: 9780080261393.
R. Hibbeler, Engineering Mechanics: Statics (any recent edition), Pearson. ISBN: 9780132915540. [Free eBook from the Internet Archive] [Additional information and access via Open Library]
R. Hibbeler, Mechanics of Materials (any recent edition), Pearson. ISBN: 9780134319650.
Also useful:
M. F. Ashby and D. R. H. Jones, Engineering Materials 2: An Introduction to Microstructures and Processing, Pergamon Press, 1986. ISBN: 9780080325323.
M. F. Ashby, Materials Selection in Mechanical Design, Pergamon Press, 1992. ISBN: 9780750627276.
W. Bickford, Mechanics of Solids: Concepts and Applications, Irwin, 1993. ISBN: 9780256114256.
Week 01
Topics
Introduction to aerospace structural mechanics
Reading Assignments
[CDL] 1.1–1.3
Week 02
Topics
Introduction to aerospace materials
Reading Assignments
[AJ] 1–2
Week 03
Topics
Three great principles: equilibrium, compatibility, constitutive material response; equilibrium of a particle, system of particles (free-body diagram)
Reading Assignments
[AJ] 1–2
Week 04
Topics:
Planar force systems, equipollent forces
Reading Assignments
[CDL] 1.6–1.7
Week 05
Topics
Support reactions, free-body diagrams, static determinacy
Reading Assignments
[CDL] 1.8–1.9
Week 06
Topics
Truss analysis: method of joints, method of sections
Reading Assignments
[CDL] 1.9
Week 07
Topics
Statically indeterminate systems
Reading Assignments
[CDL] 2.1, 2.4, 1.10–1.11, and 2.7
Week 08
Topics
Stress: definition, Cartesian components, equilibrium
Reading Assignments
[CDL] 4.2–4.4
Week 09
Topics
Stress transformation and Mohr’s circle, principal stresses, maximum shear stress
Reading Assignments
[CDL] 4.5–4.7
Week 10
Topics
Definition of strain, extensional and shear strain, strain-displacement relations
Reading Assignments
[CDL] 4.8–4.10
Week 11
Topics
Transformation of strain, Mohr’s circle for strain, principal strains, maximum shear strain
Reading Assignments
[CDL] 4.11–4.15
Week 12
Topics
Constitutive equations for a linear elastic material; constitutive equations: isotropic and orthotropic elastic materials
Reading Assignments
[CDL] 5.3–5.4, 5.10; [AJ] 3–7
Week 13
Topics
Engineering elastic constants, measurement, generalized Hooke’s law
Reading Assignments
[CDL] 5.6
Week 14
Topics
Summary of equations of the theory of elasticity
Reading Assignments
n/a
Week 15
Topics
Analysis of rods: uniaxial loading of slender 1D structural elements
Reading Assignments
n/a
Week 16
Topics
- Analysis of beams: statics, internal forces and their relation to internal stresses; bending moment, shear force and axial force diagrams, concentrated and distributed loads; differential equations of internal equilibrium, kinetic boundary conditions
- Euler beam theory: beam deflections, moment-curvature relation, kinematic boundary conditions. Statically determinate and indeterminate beams
- Cross-section properties: first and second moment of area, center of area, moment of inertia
Reading Assignments
[CDL] 3.2–3.6, 3.8, 7.1–7.5, 8.1–8.2
Week 17
Topics
Analysis of torsion of slender 1D structural elements: shafts. kinematic assumptions, internal torque, constitutive law for the cross-section: torque-rate-of-twist relation, equilibrium; governing equation; solution for various statically determinate and indeterminate loading cases
Reading Assignments
[CDL] 6.1–6.5
Week 18
Topics
Structural instability and buckling of slender 1D elements subject to compressive loads; analysis of buckling loads and mode shapes for various boundary conditions; effect of imperfections and eccentric loading
Reading Assignments
[CDL] 9.1–9.6
