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1. Introduction
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ESTmethod
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List of Tables
I
. First-order structural analysis
Subsections
1
. Introduction
1
.
1
Fundamental relations of a frame element
1
.
2
Basic equations for a beam/frame
1
.
2
.
1
The Euler-Bernoulli beam equation
1
.
2
.
2
Basic equations for a frame element
1
.
2
.
3
The basic system of equations for a frame element
1
.
3
The system equations of a frame
2
. Equations of the EST method
2
.
1
Basic equations of the system
2
.
2
Compatibility equations of displacements
2
.
2
.
1
Compatibility conditions at beam joints
2
.
3
Equations of joint equilibrium
2
.
3
.
1
Equilibrium equations of beam joints
2
.
4
Side conditions
2
.
5
Restrictions on support displacements
2
.
6
Initial parameter vector for an element
2
.
7
Element displacements and forces
2
.
8
The truss element
3
. Statically indeterminate problems
3
.
1
Illustrative frame problem 1
3
.
2
Illustrative frame problem 2
3
.
3
Illustrative frame problem 3
3
.
4
Illustrative continuous beam problem
3
.
5
Illustrative truss problem
4
. Statically determinate problems
4
.
1
Illustrative frame problem
4
.
2
Illustrative beam problem
4
.
3
Illustrative truss problem
andres
2014-09-09