## Education for Advanced Structural Engineering 　　　　　English version

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1st Lecture     Analysis Method of Linear Statically Inderteminate Grillage Girder
2 beams crossing each other (uniform section beam)
2 stress methods
-equations of equilibrium (linear statically indeterminate)
-grillage girder of 3 main beams and 1 lateral beam
work equations (linear statically indeterminate)

2nd Lecture     Analysis Method of Grillage Girder by Homberg
grillage girder of 3 main beams and 1 lateral beam
Homberg formula　 No.1　 No.2

3rd Lecture      formula of continuous beam on elastic support  No.1　 No.2

4th Lecture      Calculation of Orthotropic Plate by Guyon-Massonnet  No.1　 No.2

5th Lecture     Beam Subjected to Pure Torsion
stiffness matrix of pure torsion  No.1　 No.2
2 calculation examples　　　　 No.1　　　 No.2

6th Lecture     Beam Subjected to Warping Torsion
stiffness matrix of warping torsion
No.1   　No.2    　No.3 　No.4 　　No.5 　　No.6
1 calculation example　　　　 No.1　　　　 No.2　　　　 No.3　　　　 No.4　　　　 No.5　　　　 No.6

7th Lecture     Grillage Girder Subjected to Pure Torsion
stiffness matrix of pure torsion on grillage girder
1 calculation example　No.1 　No.2 　No.3 　No.4 　No.5  　No.6
French No.1    No.2    No.3     No.4

8th Lecture     Grillage Girder Subjected to Warping Torsion
stiffness method of warping torsion on grillage girder
1 calculation example

9th Lecture     Plane Stress and Plane Strain
Mohr's circle
1 calculation example No.1 　No.2 　No.3 　No.4

10th Lecture     Plane Stress and Plane Strain
Finite Element Method
Stiffness Matrix derived by complementary strain energie　No.1 　No.2 　No.3

11th Lecture     Differential Equation of Plate Bending Equation
basic equation, bending moment, shear force
integral equation of bending plane deflection
boundar conditions No.1 　No.2 　No.3  No.4 　No.5

timoshenko No.1   No.2        French No.1    French No.2

12th Lecture     Series Solution of plate Bending Problem
simply supported rectangular plate

13th Lecture     Stiffness Method of Plate Bending Problem
displacement functions
strain energy
castigliano's theorem
No.1 　No.2 　No.3  No.4 　No.5

14th Lecture   Example on Stiffness Matrix Calculation of Plate Bending Problem
free, simple support and fixed support conditions