Mechanics & Materials I

Lecture Notes

 

LEC #

TOPICS

Part 1: Statics - Elements of Equilibrium

1

Course Outline, Review of Forces and Moments, Introduction to Equilibrium (PDF)

2

Forces, Moments, Equilibrium (PDF)

3

Applying the Equations of Equilibrium, Planar Trusses (PDF)

4

Friction (PDF)

Part 2: Forces and Moments Transmitted by Slender Members

5

Shear Force and Bending Moment Diagrams (PDF)

6

Shear Force and Bending Moment Diagrams (cont.) (PDF)

Part 3: Mechanics of Deformable Bodies - Introduction

7

Force-deformation Relationships and Static Indeterminacy (PDF)

8

Finishing up Static Indeterminacy; Uniaxial Loading and Material Properties (PDF)

9

Trusses and Their Deformations (PDF)

10

Statically Determinate and Indeterminate Trusses (PDF)

11

Quiz 1

Part 4: Force-Stress-Equilibrium

12

Multiaxial Stress (PDF)

13

Multiaxial Stress and Strain (PDF)

Part 5: Displacement - Strain

14

Multiaxial Strain and Multiaxial Stress-strain Relationships (PDF)

Part 6: Linear Elasticity - Material Behavior

15

Stress-strain-temperature Relationships and Thin-walled Pressure Vessels (PDF)

16

Stress Transformations and Principal Stress (PDF)

17

Stress and Strain Transformations (PDF)

18

Failure of Materials and Examples (PDF)

19

Quiz 2

Part 7: Bending: Stress and Strains; Deflections

20

Pure Bending (PDF)

21

Moment-curvature Relationship (PDF)

22

Beam Deflection (PDF)

23

Symmetry, Superposition, and Statically Indeterminate Beams (PDF)

Part 8: Torsion; Energy Methods

24

Torsion and Twisting (PDF)

25

Torsion Examples (PDF)

26

Energy Methods (PDF)

27

Examples (PDF)

Assignments

Problem Set 1 (PDF)

Problem Set 2 (PDF)

Problem Set 3 (PDF)

Problem Set 4 (PDF)

Problem Set 5 (PDF)

Problem Set 6 (PDF)

Problem Set 7 (PDF)

Problem Set 8 (PDF)

Problem Set 9 (PDF)

Problem Set 10 (PDF)

Problem Set 11 (PDF)