PG class notes
PG class notes
Techniques of Integration / Change of Variables / Double Integrals / Jacobian
ODE - PDE / Numerical Solution / Fourier Analysis & Transformation
Complex Numbers: Representation with Polar Coordinates
Vectors and Matrices / Homogeneous & Non Homogeneous Linear System
Eigenvalues and Eigenvectors / Vector Calculus / Green's Theorem
Parametric representation / Coordinate Transformations / Curvilinear coordinates
1. Introduction - Ytube 1A. History - Ytube Ytube2 1B. Branches of Mechanics - Ytube1 Ytube2
2. Stress Analysis old 2A. Introduction to stress analysis - Ytube 2B. Stress at atomic level - Ytube
2Ca. Stress at a point/Cauchy’s equation - Ytube 2Cb. Mohr's circle - Ytube
2Da. Stress Quadratic/equilibrium: - Ytube1 Ytube2 2Db. Stress Transformation - Ytube
2E. Stress functions - Ytube
3A. Strain-displacement relations - Ytube 3B. Principal strains - Ytube
3C. Problems/Strain compatibility - Ytube 4A. Material properties - Ytube
4B. True stress / True strain - Ytube 4C. Stress-Strain relations - Ytube
4D. Theories of failure - Ytube 4E. Introduction to plasticity 4F. Adv. Matl. Models
5A. Disp Eqn / Prob Formulation - Ytube 5B. Applications / Non-Lin Prob
6A. Var_Principle - Ytube 6B, Energy_Method - Ytube1 Ytube2
7A. Expt_Strs_Analysis - Ytube 7B. Strain gauge - Ytube 7C. SG_circuits - Ytube
7D. Strain gauge Experiment - Ytube Attendance survey Feedback
THEORY OF BEAMS Properties of Area Introduction SF_BM diagram Euler_beam Deflection due to bending Curved beam Asymmetric_bending Shear_Stresses Shear_centre Validity of EB theory Stress functions Beam_Large_Deflection Beam_Stretching Very large stretching and bending Beam Plastic Analysis
THEORY of PLATES
Plate bending plate energy method Plate_shear_deformation Plate_Stretching Plates of Various Shapes
STRUCTURAL STABILITY AND DYNAMICS
Beam_buckling Beam_Vib_Energy method Thick_beam_plate Plate buckling Plate_vibration
1. Beam_1 2. Beam_2 3. Plate_1 4. Plate_2 5, Stress function