Theory of Elasticity / Advanced Solid Mechanics

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elasticity, solid mechanics, stress analysis

1 - Introduction

1 - ASM-U1.pdf

1 - Introduction Notation of stresses and strains

2 - Generalized Hookes Law

3 - Stress strain relationships plane stress and plane strain

4 - Differential equations of equillibrium equations of compatibility

5 - Compatibility equation interms of stress for a plane strain and plane s

6 - Stress components on an oblique plane

7 - Transformation of stresses

2 - Principal stresses and principal planes

8 - ASM-U2.pdf

8 - Principal stresses stress invariants

9 - Principal shear stresses mean and deviator stress octahedral stresses

10 - Strain energy per unit volume distortional strain energy

11 - Strain of a line element

12 - Principal strains strain invariants

3 - Two dimensional problems in Cartesian coordinates

13 - ASM-U3.pdf

13 - Saint Venants principle Uniqueness theorem Airys stress functions

14 - Cartesian coordinate solutions using polynomials

15 - Bending of a cantilever loaded at its end

16 - Pure bending of a beam

17 - Bending of a simply supported beam by uniform load

4 - Two dimensional problems in Polar coordinates

18 - ASM-U4.pdf

18 - Introduction to Polar Coordinates

19 - Equilibrium equations in polar coordinates

20 - Straindisplacement relations in Polar Coordinates

21 - Airys stress functions in polar coordinates

22 - Stress distribution symmetrical about an axis

23 - Effect of circular hole in stress distribution of a plate

24 - Stress due to point load on a semiinfinite straight boundary

25 - Stresses in a circular disc under diametrical loading

5 - Torsion

26 - ASM-U5.pdf

26 - General solution of a torsion problem

27 - Torsion of a bar having an elliptical crosssection

28 - Membrane Analogy

29 - Torsion of a rectangular bar

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تولید کننده: Udemy