OF STRVCTVRAL

FINITE ELEMENT ANAYS1s

ELEMENTS,

Gnalygis Rp tusses
assmid to be
thusss, thu joinli u
In Case
ad all leads act m thu jeint . So, al
pin Cemmctid stressu.
Sebjectul to ely diset
the membu ahe
cowbreesiu . FoA FEM
-tsile ot
the felleuug prececlusus
0. Field Vasials uol Elinnt!
basic unkneuuns
lisplacmunt au the
The jeint Bdun thu mmbeu, uly
and ase de tulel Vasiabu.
dispiacnunt lomtindy (c). So, a two nedud bale
aud tendinutg
elumut is slctd.

Sn as truss, thu mimhes ay

 24

ths ahe t o

Hne u yedal Vaisbl

Compennt at lach nod.
displacmuad
Vecko fas atypical elnut is,

hal.
global ais

dhasfematin matix. the eeiainls

J is t
 an clmnt.
Considiol a
Can be
a mumbu
banl hidthis wini un
du such tlat th
The mambesiny is

elend is teuidsid,
Sinee babh

nhs, TN: N, NJ

. Eluut profstis:
SHrs metrix
sctn as;
stihus atuix is
The elend

in the sysmi;

3
.

-lm

slaind sem as4

as
This is the samu lan

b) doads. load
jeintd,
Since all dhe loaos act od
vecta is aysenkld sbuightaay
. Global Prefstes
assembld teentthe
sifes matix ik
The glebal
tlmud stifnus nathicu.
@.Boudoy londtiont
eluninotion mellhod is ud

to abpy Bcs
redud matics/ Equodins
. Seutien ythu
. Adlolitsnal aleulationd
evaluatd,
btrcss ase to be
the th

tu medal diglaura
evaluat
tu Sutptt Teatink ·
mumbu aud all t u
Strs in each
E= 200GPa yo
mnbus is 6hewn.
The Sutpet at B ldl
0.I m.

.
 I50 k

400 mwM

1500mm

400m

450
9, = o

mz tO.T04 |mg t0.To7

m,
4

A,E Limy m
Jes L
m?

2
O-3 75
2

375 3
-3 75
 3
-o.5 -65 os3
o.5
2000x 2co 4
o.5 0.5 -0.S
-0.5
565.68 - 6. 5
-0.5

|0-5 -0.S -0.s

4
-353.sS 353.5S |g
-353,ST
35B.55 353.5S-353.3T4
353.55
1) t353.55 353.55 -353. 5
S
353,5C
t353,S3 -353.SS
353.5S|6.
- 353. sS
|353.SS
2
0 . 5 - 0.5
0.S
-0.S2
-0.S
2000x200 D.S O.5
565. 6 8 O.S
-O.s - 0.S
0.5
0.S
2
-353, Ss |
353.5$ -353. s
353.sS -353.SS
-353. 2
353. sS 353.
s5
353. sS
-353. S 353.5S
B53. sS 353.SS
-353.SS
353.SS
353.5S"

ford Vecte
 Global Stiynas 2
3 4
--353.5S-353.54 1
353.SS -315,0
-353.55 -253.s| 2
C
253. sT 353. S
R8.SS -353.4 -353:5T353.SI3
-340
-3S3IT353-5S 3 53. SS 38.55 +
-35347-3S3.SI-213.I 3S3.5T707,1

-3S3.-3S3.1353.s1-3 3 7D7.1

so,

Conditont
The
-353. SS
353. sS
728.rS-353.SS
353. S S -353.S S

-3S3.sS 353.5S

- 353.S'S 353.S
ISD
353.sT -33.sS
 Sa =-0.Imm,
Substtutung 353. S3
(o-353.sS:t.|
Jo+ 353.5Sro.
725.sS -353.SS
-353.SS 707.1

707.I -So - 3535S xàs,

353.5S

S2= 0.2
S . I$
Sz =-o.362|

-M,

1500xWDO

-75kN.
-0,707
-0.707
Q000x90o +0.707
565.68

-lo6.03sN

-o.787 -0.707
7: 2000 x 200

035 kN
- I04,
 7M;

- Mi

-0.707 -0.707 o.707] = -045

Q00 o.707 S R

56.68

- a053 RNfu

=-0, O12 kN,

Readin
=-18I.0s3 kN:

74.42 kN.
 Tewspeatue Streg.
thumal lead! due to
atue ksacls e
The tup AT F4 the Can
ls EA,
AT sise in tubuatue conuutd tim lbcal
membus, the losus au
y truss sysinn wing truuilosate
ais
midsix

fnccs inthe mmbu).

e) Cinitiad
Strss due lack
in the siilal
an also be tackld
febm keplacing
This
tnpeiale keasS Hft by
Lnes as thatinitial stin
XAT uitl
 4
4ohmulatin paamtric iso-
nhe wd,
fsem vasics
1-8X N,
+
functen Shape The
atot
nedcl tue
elnut bean
is
medal he
Yeclo vasiable
=1 6
le
blmudl, modd tno using aalysis Beam
Mened Cusualuse úelatien

M=

[NIS.

Csnatue natix
Stsus esukont

Strain bnIt tugéh dx is

elnethsl
in an

fian by dv
die

()
 JFxetn
heattes

4x4

6le -12 6de.

L6le
-|2 -6le 12

- 6he AL
6le

Pstutial Enagy

m
Cencedsatud load at þeint
apled at k
Extinal

2 12

14
 ae akn into accont
Point load Pu t Mp

Mini nigetien y PE.

LK]6 - Fzo.
K] {S = F
ad dtaminy
bcam shonen belon elunut mnithed.
Analyse th
9. stpests Use finik
keactns at tu'
the
Taku I-5xiof mnit 24RN/m

5m
5m

(15)
 12 - 6l
-2 -6

- 2 3oCOD |
30000
30000

- 12
-3ot
2

307 240 400

- 12
30 50
240
-30 -240
00 -30
- 30
|3o 50- 30

2 3 4
240 S
72 240 -72
R40 SoD -24t 4 00
42 g40S
-72 -240 192
1600 -2 40 400
-240
-240 72
-72
-240 SeD
240

-so4
-24:
-25|2
-257

+50
 [l6oo
| 400
. -5., 7l mm
-0. 935|m

SA

End sactiens :

21.4 24% kN
R,=S.5704 +30 =
RN
s = 10D. IB
-14, 234 t
R

K= 109. 28+kN .
>
Kz+ 20. oS034Tx240

Codat
FEM. EI is
bontinow beam uing
thu
6okN lootN

2
 6 -|2 6

-62

A
o.371
-0.184S
LkJ: EL.JS o.37
-0.3
0.35
-0-344 |3
4' 64 O.3
-D.37
4
o.34

2. 6673
2.67 3.SST
Z.667. -2.667 1. 333. 4
f3.sIT
-2o667|
-2.664 3.13
L2.664 |.333 *-.66

- 3.IT 2.667
2.667
-2.k67
2.667 -2.667
-3:5ST -2,667
-2.67
I.333.

.345 C

2
o.34s

2.L61
2.14

4 . 2 9 23 4 6 7 1.33}
6.3:
- 2s.
TT
- 2 l t2l.
b4

1.343 6
2.l67.

-2.lb1
 (-20)1
-I20

-I20)
-80
- 120

- 100
Sr

The eduud la s
-2.86 1.33 -100
|3.667 2.667
7.11
-2.67
5.334 1.333.
I.333
2.667 I.33

C.S620)
-17.4403

E.6109
R.1442
Subitithuhig in glebal eauaton,
ET