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DAY 4
LOAD FACTOR
L=W L+L=W+F
LOAD FACTOR :
A factor which defines load in terms of weight
W
L
g
An
11
zAg
WF L
g
AW z1LL
V-n DIAGRAM
SIGN CONVENTIONS
C) BENDING MOMENTB) SHEAR FORCEA) AXIAL FORCE
F) ANGLE & ROTATIOND) TORQUE E) SHEAR FLOW
SIGN CONVENTIONS (REACTION LOADS)
A) AXIAL & SHEAR
C) TORQUE
B) BENDING MOMENT
EQUILIBRIUM OF FORCES• THE FORCE EQUILIBRIUM EQUATIONS ARE
0
0
0
M
F
F
Y
X
STRUCTURE
FREE BODY DIAGRAM
PL
1200 lb40000 lb-in
W=8000 lb
A BC T
lb 1200
0
T
Fx
506P
0067 15P
400006*8000150*10*1200
0
P
M B
9447 L
8000
0
PL
FY
TRUSSTRUSSES ARE CLASSIFIED AS
- STATICALLY DETERMINATE- STATICALLY INDETERMINATE
32 jm m= Number of membersj= Number of joints
m 2j-3 Structure is unstablem 2j-3 Structure is statically indeterminate
TRUSSES (Contd…)• Identify whether the structure is statically
determinate / indeterminate
C
A B
RAH
RAV
RBH
RBV
P PPPPP
A B C D
TRUSS ANALYSIS
TRUSSES CAN BE ANALYSED BY- METHOD OF JOINTS- METHOD OF SECTIONS
SPACE TRUSS• The six equilibrium eqns are
0
0
0
Z
Y
X
F
F
F
0
0
0
Z
Y
X
M
M
M
RCosF
RCosF
RCosF
Z
Y
X
222zyX FFFR Resultant force
Component forces
Z
F
Y
F
X
F
L
R ZYX Geometric relation
LANDING GEAR
Resolving the forces in V direction
Resolving the forces in D direction
lbcos*F
F
AV
V
193161520000
0
lbsin*F
F
AD
D
51761520000
0
LANDING GEAR (FREEBODY DIAGRAM)
C.
..
.
... . H
A A
BB
C
FBH
FCG
19318 lb19318 lb
5176 lb
I
I
J
J
FJV
FIV
FJD
FID
FGV
FEDFES
FES
TE
TEFED
FEV
FEV
FIS
FGS
E
E
G
G
5176 lb
8"
3"
3"
20"
23"
44"
45
V
D
S
LANDING GEAR (FORCE ESTIMATION)
A
B
C
FBH
FCG
19318 lb
FEDFES
TE
FEV
in-lb 41408
08*5176
0
E
E
EV
T
T
M
V
D
S
lb 14003
03*)45(*20*)45(*44*5176
0
BH
BHBH
ES
F
SinFCosF
M
lb 11370
020*)7.33(*3*)7.33(*8*19318
0
CG
CGCG
ED
F
SinFCosF
M
lb 19760
45 Cos 7.3319318
0
EV
BHCGEV
V
F
FCosFF
F
lb 4730
45 Cos 5176
0
ED
BHED
D
F
FF
F
5176 lb
56.3
45
lb 6309
33.7Sin
0
ES
CGES
S
F
FF
F
LANDING GEAR (FORCE CALCULATIONS)
I
J
FJV
FIV
FJD
FID
FCG=11370 lb
FES=6309 lb
TEFED=4730 lb
FEV=19760 lb
FIS
E
G
00 ISS FF
lb 1361-
203*4730
0
JD
JDE
IV
F
FT
M
lb 6091
13614730
0
ID
ID
D
F
F
F
lb 12109
*202*)7.33(*18*)7.33(*3*19760
0
JV
JVCGCG
ID
F
FSinFCosF
M
lb 17110
7.3319760
0
EV
JVCGIV
V
F
FCosFF
F
WING STRUCTURES
WING STRUCTURES (FREEBODY DIAGRAM)
FAZ
FAY
FGZ
A
C
G
60”
100”
180”
16 lb/in
lb 2592
90*180*16*100
0
GZ
GZ
A
F
F
M
FRONT SPAR
Using Geometric relation
lbFGY 4320100*60
2592
lb 288
2592180*16
0
AZ
AZ
Z
F
F
F
FGY
Z
F
Y
F
X
F
L
R ZYX
WING STRUCTURES (FREEBODY DIAGRAM)
FBZ
FBY
FEZ
B E
100”
180”
4 lb/inREAR SPAR
Using Geometric relation
lb 648
90*180*4*100
0
EZ
EZ
B
F
F
M
lb 1080
lb 32460
648
10030
EY
EX
EYEX
F
F
FF
lb 72
648180*4
0
BZ
BZ
Z
F
F
F
FEX
FEY
WING STRUCTURES (TRUSS)
G
EB
30” 30” 40” 40” 40”A
L
KI
JP
O
N
MFGY=4320
FBY
FAY
17515075 200200
FEY=1080
FEX=324 100
X
Y
00 PNY FF
1000 POX FF
JOINT O
167
10013.53
0
ON
ON
X
F
CosF
FJOINT P
JOINT E
JOINT N
JOINT M300
0 2001.53
0
NM
ONNM
X
F
CosFF
F
133
13.53Sin
0
NE
ONNE
Y
F
FF
F
500
13.53
0
ME
MENM
X
F
CosFF
F
lbF
SinFF
F
OM
ONOM
Y
133
13.53
0
lbF
FSinFF
F
MG
OMMNMG
Y
533
13.53
0
824
52413.53
0
GE
MEGE
X
F
CosFF
F
lbF
FSinFF
F
MG
NEMEEL
Y
547
108013.53
0
WING STRUCTURES (TRUSS)
lbF
SinFF
F
LJ
GJLJ
Y
547-
551
13.53
0
G
EB
30” 30” 40” 40” 40”A
L
KI
JP
O
N
MFGY=4320
FBY
FAY
17515075 200200
FEY=1080
FEX=324 100
X
Y
lb 1373
13.53
0
GL
GEGL
X
F
FCosF
F
lbF
SinFF
F
GK
GLGK
Y
533
5951
432013.53
0
JOINT G
lb 998
017513.53
0
LK
LKGL
X
F
FCosF
F
JOINT L
JOINT K
lb 1412
045
0
KJ
LKKJ
X
F
FCosF
F
lbF
SinFF
F
KI
KJKI
Y
05950
6948
45
0
WING STRUCTURES (TRUSS)
G
EB
30” 30” 40” 40” 40”A
L
KI
JP
O
N
MFGY=4320
FBY17515075 200200
FEY=1080
FEX=324 100
X
Y
JOINT J
JOINT I
lb 1148
015045
0
IJ
IJKJ
X
F
FCosF
F
lbF
SinFF
F
JB
KJJB
Y
551
1550
45
0
lb 1624
45
0
IB
IJIB
X
F
FCosF
F
lbF
SinFF
F
IA
KJIA
Y
8096
6
94845
0 lbFF
F
IAAy
Y
8096
0
JOINT A
JOINT B
lb 2698
45
0
BY
JBIBBY
X
F
FCosFF
F
FAY
FAX
lbF
F
BA
Y
1225-
0
lbF
F
AX
Y
1225
0