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