Index

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

active forces

B.1

area moment of inertia

1.2.1

axial displacement

1.1

axial force

5.2

axial rigidity

3.1

basic coordinate system

1.1 | 2.8

basic equations

1.1 | 1.1

of beam

4.2

of frame

6.2

of truss element

2.8

basic stiffness

1.3 | C.2

beam governing equations

1.2.1

beam-column

5.1 | 5.2

effect

5.1

element

5.2

boundary condition,

kinematic

1.2.3

static

1.2.3

boundary problem equations

3.1 | 3.3 | 3.4 | 4.1 | 6.2 | 8.1.1

boundary work

7.1.2

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

calculating trick

2.7

Cauchy formula

1.2.1 | 1.2.1 | 5.3.3

collapse load

7.1

collapse load factor

8.1.4

compatibility conditions

2.2.1

compatibility equations

1.3 | 2.2 | 3.1 | 3.3 | 3.4 | 6.1 | 6.2 | 6.3 | 8.1.1 | 8.1.4

complete solution for a compressive axial force

5.3.1

computer function

ESTSKrmus.m

D.1

ESTSTKrmus.m

D.1

ESTtalaKrmus.m

D.1 | D.1

InsertBtoA.m

D.1

Lahe2FrameDFIm.m

D.2

LaheBeamDFI.m

D.1

LaheFrame3hingeNQM.m

D.1

LaheFrameDFIm.m

D.1

LaheFrameSnDFIm.m

D.3

LaheGerberBeamQM.m

D.1

LaheTrussDFI.m

D.1

Sisejoud3LraamiPnktism.m

D.1

SisejoudPunktism.m

D.1

SisejoudTalaPunktis.m

D.1

spInsertBtoA.m

D.1

spSisestaArv.m

D.1

SpToeSiirdeFiVektor.m

D.1

SpToeSiirdeUvektor.m

D.1

SpToeSiirdeWvektor.m

D.1

SsjoudGrbrTalaPnktis.m

D.1

ylffzII.m

D.2

ylfhlin.m

D.1

ylfhvzII.m

D.2

ylfmhvII.m

D.2

ylfmII.m

D.2

ylqII.m

D.2

ylqvII.m

D.2

ysplfhlin.m

D.1

ysplfmhvII.m

D.2

ysplvfmhvI.m

D.1

ysplvfmhvII.m

D.2

yspSlfhlin.m

D.1

yspSlvfmhvI.m

D.1

yspSRhlin.m

D.1

yspSRmhvI.m

D.1

yspSTlfhlin.m

D.1

yspSTlvfmhvI.m

D.1

yspTlfhlin.m

D.1

yspTlvfmhvI.m

D.1

ytransf.m

D.2

ytransfp.m

D.2

yzfzv.m

D.1

yzhqz.m

D.1 | D.1

yzmyv.m

D.1

yzSfzv.m

D.1

yzShqz.m

D.1

yzSTfzv.m

D.1

yzSThqz.m

D.1

yzTfzv.m

D.1

computer program

spESTbeamLaheWFI.m

D.1

spESTframe3hinge1NQM.m

D.1

spESTframe3hinge1WFIm

D.1

spESTframe3hingeLaheNQM.m

D.1

spESTframe3hingeLaheWFI.m

D.1

spESTframe50WFI.m

D.1

spESTframe77LaheWFI.m

D.1

spESTframe93LaheWFI.m

D.1

spESTframeLaheWFI.m

D.1

spESTframeSn0LaheWFI.m

D.3

spESTframeSn1LaheWFI.m

D.3

spESTframeSn2LaheWFI.m

D.3

spESTframeSn3LaheWFI.m

D.3

spESTGerberBeamQM.m

D.1

spESTGerberBeamWFI.m

D.1

spESTtrussLaheWFI.m

D.1

spESTtrussN2.m

D.1

yspESTframe1LaheWFI.m

D.2

yspESTframe2LaheWFI.m

D.2

contact forces

1.2.3 | 1.2.3 | 1.3 | 2.3 | 2.3 | B.1

continuous beam

3.4 | 3.4

coordinates,

global

1.3

local

1.3

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

DaF

1.2.3

delta function

1.2.1

direction cosines

1.3 | A.2

dissipation at plastic hinges

8.1.4

dissipation energy

7.2

elastic modulus

1.2.1

elastic section modulus

7.1.1

energy conservation

B.1

enlarged transfer matrix

1.2.3 | C.1

equilibrium at joint

2.3

equilibrium equation of beam

A.1.1

equilibrium equations

1.3 | 3.1 | 6.1

equilibrium of support node

2.3

equivalent distributed force

1.2.1

EST method

8.1.3

Euler-Bernoulli beam

1.2.1

external reactions

1.2.1 | 2.3.1

external support

1.3

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

flexural rigidity

3.1 | 6.2

force,

axial

5.2

normal

5.2

shear

5.2

transverse shear

5.2

forces,

active

B.1

contact

1.2.3 | 1.2.3 | 1.3 | 2.3 | 2.3 | B.1

reaction

B.1

frame

3.3

three-hinged

4.1

full matrix

A.1.2

full plastic moment

7.2 | 8.1

fundamental set of solutions

5.3.1

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

general solution of non-homogeneous

differential equation

5.3

Gerber beam

4.2 | A.1.1

global coordinate system

1.1 | 2.5

global coordinates

1.3 | 1.3 | 3.1 | A.2

governing equations

5.2

Green's functional

B.1

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

Heaviside step function

1.2.1

hinge,

3.1

plastic

2.4

homogeneous differential equation

1.2.1

ideal elastic-plastic

7.1

identity matrix

A.2

incremental method

7.2

influence line

4.3

influence line diagram

4.3

initial parameter vector

2.6 | 3.2 | 3.3 | 4.1 | 8.1.1

initial parameters

1.2.1

internal displacements

1.1 | 1.1

internal reactions

1.2.3 | 1.2.3 | 2.3 | 2.3 | 2.3.1 | B.1

internal support

1.3

inverse matrix

A.2

inverse transformation

A.2 | A.2

iteration

6.1

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

joint equilibrium equations

2.3 | 3.3 | 3.4 | 4.1 | 4.2 | 6.2 | 6.3 | 8.1.1 | 8.1.4

kinematic boundary condition

1.2.3

kinematic method

7.2

kinematic theorem

7.2

left-handed coordinates

1.1

limit design

7.

load case

3.4 | 3.4 | 8.1.1

load factor

7.1 | 7.2 | 7.2 | 8.1

load transformation

4.1

loading vectors

5.3.3 | C.2

local coordinates

1.3 | A.2

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

moment hinge

1.3 | 6.2 | 6.3

nodal load

8.1.2

non-homogeneous differential equation

1.2.1 | 1.2.1

normal force

5.2

normed fundamental set of solutions

5.3.1

orthogonal matrix

A.2

orthogonality

5.2

P- effect

5.1

P-delta effect

5.1

particular solution

1.2.1 | 1.2.1

of the differential equation

5.3 | 5.3.3

with the Cauchy formula

5.3.3

plastic hinge

2.4 | 7.1 | 7.1.2 | 7.2

plastic section modulus

7.1.1

plasticity

7.

polygonal truss

4.3

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

rafter

3.2

rank of equations

2.6

reaction forces

B.1

restraints on support displacements

1.2.1

restrictions on support displacements

2.5 | 3.1 | 3.3 | 6.1 | 6.3 | 8.1.4

right-handed coordinates

1.1 | 1.1

rigid body

rotation

1.1 | 2.8

translation

1.1 | 2.8

round-off error

C.2

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

scaling multiplier

1.2.2 | 1.3 | 2.8 | 5.3.4 | 5.3.4 | 5.3.4 | C.2

second-order analysis

5.2

set of fundamental solutions

1.2.1

shape factor

7.1.1

shear force,

5.2

diagram

1.1

shear rigidity

3.1

side conditions

1.3 | 2.4 | 3.1 | 3.3 | 4.1 | 4.2 | 6.1 | 6.2 | 6.3 | 8.1.1 | 8.1.4

Sign Convention 1

1.1 | 1.2.1

Sign Convention 2

1.1 | 1.1 | 1.2.1 | 2.3 | 2.6 | 2.7

sparse matrix

A.1.1 | A.1.2 | A.1.2 | A.1.2

sparse(iv,jv,sv)

A.1.2

sparsity pattern

3.1 | 3.4 | 4.3

state vector

1.3

static boundary condition

1.2.3

static equilibrium

3.2

statical method

7.2

superposition

6.1

support

displacements

6.2

support reactions

3.4 | 4.1 | 8.1.4

support shift

2.5

support,

external

1.3

internal

1.3

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

three-hinged frame

4.1

topology

3.1 | 4.2 | 8.1.1

transfer equations

5.3.2 | C.2

transfer matrix

1.1 | 1.2.1 | 1.2.2 | 3.1 | 5.3.2 | 5.3.3 | 5.3.3 | 8.1.1 | C.1

for a beam element with an axial force

5.3.2

transformation matrix

1.3 | 2.2 | 5.3.4 | A.2

transformation of a transfer matrix

5.3.4

transpose matrix

A.2

transverse shear force

5.2

truss

3.5 | 4.3

polygonal

4.3

truss element

2.8

two-span frame

3.1 | 6.3

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  W 

unit load method

1.1

work,

boundary forces

B.1

external forces

B.1

internal forces

B.1

Wronskian

1.2.1 | 1.2.1 | 5.3.1