UCLA MAE 101 - Statics and Mechanics of Materials Prof. C.S. Lynch
Week 1
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Course Introduction
Force Balance in Structures Vectors Discussion Forum Interactive Text Video Example Problems |
Unit Vector from A to B
Solving a Static Force Problem Free Body Diagram Discussion Forum Interactive Text Video Example Problems |
2-D Static Force Problem
Moment About a Point or Line Lift on an Airfoil Example Discussion Forum Interactive Text Video Example Problems |
Week 2
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2-Force Elements, Pin Joints
FBDs and Global Equilibrium Example Problems |
2-D and 3-D End Constraints
FBDs with Bearings and Shafts Example Problem |
Centroid, CG
Composite Areas Area Moment of Inertia |
Distributed Loads on Beams
Global Equilibrium Statically Equivalent Force |
Week 3
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2-Force Members in Trusses
Frames Machines |
Vector vs. Stress Components
Neutral Axis through Centroid Parallel Axis Theorem |
Composite Cross Section Beams
I-Beam Example Uniaxial / Biaxial States of Stress Bearing Stress |
Week 4
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Stress and Strain Components
Direction Cosine Matrix Vector Coordiinate -Transformation |
Stress Coordinate -Transformation
Eigenvalues, Eigenvectors |
Stress and Strain
Young's Modulus Poisson's Ratio Multiaxial Hooke's Law |
Rods in series / parallel
Statically indeterminate Thermal Expansion |
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Stress - Strain Behavior
Design Considerations Torsion Derivation Polar Moment of Inertia |
Torsion
Pure shear=Biaxial stress Mohr's circle Shafts, gears, twist |
Symmetric Beams under M
Derivation of bending formula Non-rectangualr beams |
Midterm review
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