TKWNT+5
=v
#1
:n

:s
b
:c
Bedford-Fowler Example 6.9, 3rd Ed.
#3
:n
angle
:v
.174532925199433
:s
i
:u
radians
:d
degrees
:c
Angle of plane from horizontal
#4
:n
W_Cab
:v
62275.08
:s
i
:u
N
:d
lb
:c
Weight of cab
#5
:n
W_Rear
:v
35585.76
:s
i
:u
N
:d
lb
:c
Weight of trailer
#6
:n
L_AB
:v
4.267199999999832
:s
i
:u
m
:d
ft
:c
Geometric data
#7
:n
L_AC
:v
7.6199999999997
:s
i
:u
m
:d
ft
:c
Geometric data
#8
:n
L_AD
:v
4.876799999999808
:s
i
:u
m
:d
ft
:c
Geometric data
#9
:n
X_cab
:v
6.705599999999737
:s
i
:u
m
:d
ft
:c
Geometric data
#10
:n
Y_cab
:v
.914399999999964
:s
i
:u
m
:d
ft
:c
Geometric data
#11
:n
X_rear
:v
1.219199999999952
:s
i
:u
m
:d
ft
:c
Geometric data
#12
:n
Y_rear
:v
1.828799999999928
:s
i
:u
m
:d
ft
:c
Geometric data
#13
:n
Y_D
:v
1.676399999999934
:s
i
:u
m
:d
ft
:c
Geometric data
#15
:n
A
:v
26476.95558283918
:s
o
:u
N
:d
lb
:c
Trailer wheel force
#16
:n
Bx
:v
16993.35653095505
:s
o
:u
N
:d
lb
:c
Force on cab wheel B
#17
:n
By
:v
29775.37374530873
:s
o
:u
N
:d
lb
:c
Force on cab wheel B
#18
:n
C
:v
40121.7846201393
:s
o
:u
N
:d
lb
:c
Force on cab wheel C
#19
:n
Dy
:v
8568.17676199253
:s
o
:u
N
:d
lb
:c
Coupling force acting on trailer
#20
:n
Dx
:v
6179.402374892745
:s
o
:u
N
:d
lb
:c
Coupling force acting on trailer
#22
:n
W_Cabx
:v
-10813.9541560623
:s
o
:u
N
:d
lb
:c
Component of weight
#23
:n
W_Caby
:v
-61328.9816034555
:s
o
:u
N
:d
lb
:c
Component of weight
#24
:n
W_Rearx
:v
-6179.402374892745
:s
o
:u
N
:d
lb
:c
Component of weight
#25
:n
W_Reary
:v
-35045.13234483171
:s
o
:u
N
:d
lb
:c
Component of weight
#27
:n
MCab_A
:v
-401359.339359812
:s
o
:u
N-m
:d
ft-lb
:c
Cab weight moment at A
#28
:n
MCab_B
:v
-139656.3090615571
:s
o
:u
N-m
:d
ft-lb
:c
Cab weight moment at B
#29
:n
MRear_A
:v
-31426.13429161374
:s
o
:u
N-m
:d
ft-lb
:c
Trailer weight moment at A
#30
:n
MRear_D
:v
129122.8169863851
:s
o
:u
N-m
:d
ft-lb
:c
Trailer weight moment at D
=u
#1
:c
Unit Master Sheet by R.L. Norton,
#2
:c
appended by J.E. Akin
#4
:c
length
#5
:f
cm
:m
10
:t
mm
#6
:f
m
:m
100
:t
cm
#7
:f
mm
:m
1000
:t
um
#8
:f
in
:m
2.5399999999999
:t
cm
#9
:f
ft
:m
12
:t
in
#10
:f
mile
:m
5280
:t
ft
#11
:f
in
:m
1000000
:t
uin
#12
:f
1/mm
:m
25.4
:t
1/in
#13
:f
1/cm
:m
2.54
:t
1/in
#14
:f
1/m
:m
.254
:t
1/in
#15
:c
area
#16
:f
in^2
:m
645.1626
:t
mm^2
#17
:f
m^2
:m
1000000
:t
mm^2
#18
:f
cm^2
:m
100
:t
mm^2
#19
:f
ft^2
:m
144
:t
in^2
#20
:c
volume
#21
:f
in^3
:m
16387.1623
:t
mm^3
#22
:f
ft^3
:m
1728
:t
in^3
#23
:f
m^3
:m
1E9
:t
mm^3
#24
:f
cm^3
:m
1000
:t
mm^3
#25
:f
cm^3
:t
cc
#26
:c
force
#27
:f
lb
:m
4.44822
:t
N
#28
:f
N
:m
100000
:t
dyne
#29
:f
ton
:m
2000
:t
lb
#30
:f
kips
:m
1000
:t
lb
#31
:f
lb
:t
lbf
#32
:f
lb
:t
lbm
#33
:c
moments and energy
#34
:f
in-lb
:m
.1138
:t
N-m
#35
:f
ft-lb
:m
12
:t
in-lb
#36
:f
N-m
:m
100
:t
N-cm
#37
:f
N-m
:m
1000
:t
N-mm
#38
:f
N-m
:m
8.850744000000001
:t
in-lb
#39
:f
N-m
:m
.7375620000000001
:t
ft-lb
#40
:f
lb-in
:t
in-lb
#41
:f
N-m
:t
m-N
#42
:f
N-cm
:t
cm-N
#43
:f
N-m
:t
joule
#44
:f
joules
:t
joule
#45
:f
joule
:t
J
#46
:c
pressure and stress
#47
:f
psi
:m
6894.757
:t
Pa
#48
:f
MPa
:m
1000000
:t
Pa
#49
:f
MPa
:t
Mpa
#50
:f
GPa
:m
1000
:t
MPa
#51
:f
GPa
:t
Gpa
#52
:f
Pa
:t
pa
#53
:f
N/m^2
:t
Pa
#54
:f
N/mm^2
:t
MPa
#55
:f
N/mm^2
:m
1000000
:t
N/m^2
#56
:f
N/cm^2
:m
10000
:t
N/m^2
#57
:f
kpsi
:m
1000
:t
psi
#58
:f
psi
:m
144
:t
psf
#59
:f
kpsi
:t
ksi
#60
:f
psig
:t
psi
:a
14.7
#61
:c
acceleration
#62
:f
in/sec^2
:m
2.5399999999999
:t
cm/sec^2
#63
:f
m/sec^2
:m
100
:t
cm/sec^2
#64
:f
m/sec^2
:m
1000
:t
mm/sec^2
#65
:f
m/s^2
:t
m/sec^2
#66
:f
ft/sec^2
:m
12
:t
in/sec^2
#67
:f
ft/s^2
:t
ft/sec^2
#68
:f
G
:m
32.17
:t
ft/sec^2
#69
:c
velocity
#70
:f
in/sec
:m
2.5399999999999
:t
cm/sec
#71
:f
m/sec
:m
100
:t
cm/sec
#72
:f
m/sec
:m
1000
:t
mm/sec
#73
:f
m/s
:t
m/sec
#74
:f
ft/sec
:m
12
:t
in/sec
#75
:f
ft/s
:t
ft/sec
#76
:f
in/s
:t
in/sec
#77
:f
rad/sec
:m
9.549296584
:t
rpm
#78
:f
mph
:m
1.466666666666667
:t
ft/sec
#79
:c
mass
#80
:f
blob
:m
386
:t
lb
#81
:f
slug
:m
32.17
:t
lb
#82
:f
kg
:m
2.204623
:t
lb
#83
:f
kg
:m
1000
:t
g
#84
:f
kg
:m
9.806649999999999
:t
N
#85
:c
mass mom of inertia
#86
:f
lb-in-sec^2
:m
.1138
:t
N-m-sec^2
#87
:f
N-m-sec^2
:t
kg-m^2
#88
:f
lb-in-sec^2
:t
lb-in-s^2
#89
:f
blob-in^2
:t
lb-in-s^2
#90
:f
N-m-sec^2
:t
N-m-s^2
#91
:c
area moment of inertia
#92
:f
in^4
:m
416231.4256
:t
mm^4
#93
:f
m^4
:m
1E12
:t
mm^4
#94
:f
m^4
:m
1E8
:t
cm^4
#95
:f
ft^4
:m
20736
:t
in^4
#96
:f
in^4
:m
.0000004162314256
:t
m^4
#97
:c
density
#98
:f
lb/in^3
:m
27.6805
:t
g/cc
#99
:f
g/cc
:m
.001
:t
g/mm^3
#100
:f
lb/ft^3
:m
1728
:t
lb/in^3
#101
:f
kg/m^3
:m
.000001
:t
g/mm^3
#102
:f
lb/in^3
:m
.002590673575129534
:t
blob/in^3
#103
:f
blob/in^3
:m
.08333333333333333
:t
slug/in^3
#104
:f
slug/ft^3
:m
1728
:t
slug/in^3
#105
:f
kg/mm^3
:m
1000
:t
g/mm^3
#106
:f
SG
:t
g/cc
#107
:c
spring rate
#108
:f
lb/in
:m
175.126
:t
N/m
#109
:f
N/mm
:m
1000
:t
N/m
#110
:f
lb/ft
:m
.08333333333333333
:t
lb/in
#111
:c
angles
#112
:f
radians
:m
57.29577951308232
:t
degrees
:c
 
#113
:f
rad
:m
57.2957795129
:t
deg
#114
:f
rev
:m
360
:t
deg
#115
:f
rad
:t
radian
#116
:c
temperature
#117
:f
C
:m
1.8
:t
F
:a
32
#118
:f
F
:t
R
:a
459.69
#119
:f
C
:t
K
:a
273.16
#120
:c
power
#121
:f
HP
:m
550
:t
ft-lb/sec
#122
:f
ft-lb/sec
:m
60
:t
ft-lb/min
#123
:f
ft-lb/sec
:m
12
:t
in-lb/sec
#124
:f
HP
:m
745.699
:t
watts
#125
:f
kw
:m
1000
:t
watts
#126
:f
HP
:t
hp
#127
:f
N-m/sec
:m
8.850756136188998
:t
in-lb/sec
#128
:f
N-m/sec
:t
watts
#129
:f
watt
:t
watts
#130
:c
flow
#131
:f
cfm
:m
1728
:t
cim
#132
:c
percent
#133
:f
dec%
:m
100
:t
%
#135
:c
fracture mechanics
#136
:f
MPa-m^.5
:m
.909
:t
ksi-in^.5
:c
stress intensity
#137
:f
MPa-m^.5
:m
1000000
:t
Pa-m^.5
:c
stress intensity
#138
:f
ksi-in^.5
:m
1000
:t
psi-in^.5
:c
stress intensity
#139
:f
kpsi-in^.5
:m
1000
:t
psi-in^.5
:c
stress intensity
#141
:c
frequency
#142
:f
1/sec
:m
60
:t
1/min
#143
:f
Hz
:t
1/sec
#144
:f
Hz
:t
hz
#145
:c
time
#146
:f
min
:m
60
:t
sec
#147
:f
hr
:m
60
:t
min
#148
:f
day
:m
24
:t
hr
#149
:f
week
:m
7
:t
day
#150
:f
year
:m
52
:t
week
#151
:f
year
:m
12
:t
month
#152
:c
viscosity
#153
:f
reyn
:t
lb-sec/in^2
:c
     absolute
#154
:f
reyn
:m
6894.696003767111
:t
Pa-s
#155
:f
reyn
:m
1000000
:t
ureyn
#156
:f
Pa-s
:m
1000
:t
mPa-s
#157
:f
cP
:t
mPa-s
#158
:c
   kinematic
#159
:f
m^2/sec
:m
10000
:t
cm^2/sec
#160
:f
cm^2/sec
:t
stoke
#161
:f
stoke
:m
100
:t
cS
#162
:f
m^2/sec
:m
1549.996853506387
:t
in^2/sec
#163
:c
stress intensity
#164
:f
psi-in^.5
:m
1098.843447385385
:t
Pa-m^.5
#165
:f
ksi-in^.5
:m
1000
:t
psi-in^.5
#166
:f
MPa-m^.5
:m
1000000
:t
Pa-m^.5
=l
=f
=r
#1
:r
;Bedford-Fowler Example 6.9, 3rd Ed.
:s
C
#2
:r
; An externally statically indeterminate system, with determinate members
:s
C
#4
:r
W_Cabx  = -W_Cab  * sin (angle)   ; weight component
#5
:r
W_Caby  = -W_Cab  * cos (angle)  ; weight component
#6
:r
W_Rearx = -W_Rear * sin (angle)   ; weight component
#7
:r
W_Reary = -W_Rear * cos (angle)  ; weight component
#8
:s
C
#9
:r
; Rear section FBD, M_z = r_x * F_y - r_y * F_x = +- d * F 
:s
C
#10
:r
MRear_D = (X_rear - L_AD) * W_Reary - (Y_rear - Y_D) * W_Rearx        ; Wt moment
#11
:r
(- L_AD * A - 0) + MRear_D = 0                                                                  ; Ó M_D = 0
#12
:r
W_Rearx + Dx = 0                                                                                      ; Ó F_x = 0
#13
:r
A + W_Reary + Dy = 0                                                                                ; Ó F_y = 0
#14
:s
C
#15
:r
; Cab section FBD, M_z = r_x * F_y - r_y * F_x = +- d * F 
:s
C
#16
:r
; Equal and opposite force at D.  D_cab = - D_rear   <<<<<
:s
C
#17
:r
MCab_B = (X_cab - L_AB) * W_Caby - (Y_cab) * W_Cabx                      ; Wt moment
#18
:r
(L_AD - L_AB) * (-Dy) - Y_D * (-Dx) + MCab_B + (L_AC - L_AB) * C = 0  ; Ó M_B = 0
#19
:r
Bx + (-Dx) + W_Cabx = 0                                                                           ; Ó F_x = 0
#20
:r
By + (-Dy) + W_Caby + C = 0                                                                     ; Ó F_y = 0
#22
:r
; Validate results: system FBD,   M_z = r_x * F_y - r_y * F_x = +- d * F
:s
C
#23
:r
MRear_A = X_rear * W_Reary - Y_rear * W_Rearx                                   ; Wt moment
#24
:r
MCab_A  = X_cab * W_Caby   - Y_cab * W_Cabx                                    ; Wt moment
#25
:r
MRear_A + L_AB * By  + MCab_A + L_AC * C  = 0                                   ; Ó M_A = 0
#26
:r
Bx + W_Rearx + W_Cabx = 0                                                                    ; Ó F_x = 0
#27
:r
A + W_Reary + By + W_Caby + C = 0                                                        ; Ó F_y = 0
=p
=t
=n
=c
=g
#1
:c
.000001
:i
100
:t
1
:y
Yes
=d
:c
E
:f
0


:v
E
:g
0.000001
:i
1000
:t
100
:p
0.000001
:r
5.00
:e
0
:d
1
:s
0
:n
0
:a
0
=s
:r
0
:v
%Tv,f,1,0,0,1,0
%Or,f,6,1,0,1,0
%Xl,f,0,0,0,2,0,0,0,747,573,480,835,-1,-1,0,0,4,-1,0,0,2,-11,400,34,0,0,0,161,Arial Unicode MS,4,10,21,31,98
%Xp,f,0,0,0,2,0,22,22,769,595,640,835,-1,-1,0,0,5,-1,0,0,2,-11,400,34,0,0,0,161,Arial Unicode MS,3,13,25,99
%Xt,f,0,0,0,2,0,44,44,791,617,800,835,-1,-1,0,0,6,-1,0,0,2,-11,400,34,0,0,0,161,Arial Unicode MS,2,15,100
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%Xu,f,44,2,0,2,0,22,29,1015,693,320,835,0,0,0,0,3,-1,0,0,2,-21,700,34,0,0,0,161,Arial,5,10,20,34,48,96
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%Xf,f,3,2,0,2,0,0,0,993,664,160,835,0,0,0,0,2,-1,0,0,2,-21,700,34,0,0,0,161,Arial,4,16,26,38,98
%Xr,f,6,1,0,2,0,0,0,1069,863,0,0,0,0,0,0,1,-1,0,0,1,-21,700,34,0,0,0,161,Arial,2,9,103
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\G,0,960,1344,1,-1,-1
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