Dr. Lambros Katafygiotis
225 Thomas
lambros@ust.hk
626-395-3855
Office hours: Tues. 3-4, Thurs. 3-4

Teaching Assistants

John Clinton
014 Thomas
jclinton@caltech.edu
626-395-4112
TA hours: Wed. 2-3

Swaminathan Krishnan
110 Thomas
krishnan@ecf.caltech.edu
626-395-4236
TA hours: Mon. 4-5

Mandar M. Inamdar
212a Thomas
mandar@caltech.edu
626-395-4648
TA hours: Fri. 1-2

Mon. 11-12am, Wed. 11-12am, Fri. 11-12am
306 Thomas

Units 3-0-6

Reference Book:  Housner, G.W. and Vreeeland, T. Jr., The Analysis of Stress and Deformation
The book can be purchased at 213 Thomas

• 30% Homework
• 30% Midterm
 
• 40% Final

2.1 Stress
2.1.1 Definition
2.1.2 Equations of Equilibrium
2.1.3 Stress on planes other than the x, y and z face
2.1.4 Relations between surface tractions and internal stresses

2.2 Displacements and strains

2.3 Stress-strain relations

2.4 General statement of an elasticity problem

2.5 Energy and work concepts
2.5.1 Work and energy expressions
2.5.2 Principle of virtual displacements
2.5.3 Reciprocal theorem (linearly elastic behavior, small strains and rotations)
2.5.4 General method for computing deflections (linearly elastic behavior, small strains and rotations)

2.6 St. Venant's principle

2.7 Cross-section of a prismatic bar: centroidal and principal axes, resultant section forces and couples

2.8 Pure stretching of a prismatic bar

2.9 Bending and shearing of a prismatic bar
2.9.1 Pure bending
2.9.2 Combined bending and shear (cantilever beam with an end load)
2.9.3 Practical analysis of beams
2.9.4 Statically indeterminant beams (same conditions as Section 2.9.3)
2.9.5 Computation of beam displacements (same conditions as Section 2.9.3)

2.10 Twisting of prismatic bars
2.10.1 Solid sections without openings
2.10.2 Membrane analogy
2.10.3 Closed sections with openings

2.11 Combined bending, twisting and shear of prismatic bars

2.12 Summary of computing stresses in prismatic bars subject to stretching, bending, shearing and twisting (linear behavior)

2.13 Some axisymmetric elasticity solutions

2.14 Buckling
2.14.1 Axial buckling: rigid bar linkage
2.14.2 Axial buckling: elastic bar
2.14.3 Other kinds of buckling

2.15 Inelastic behavior
2.15.1 Brittle material (fails in tension without yielding)
2.15.2 Ductile material (yielding material like steel)