TKWNT+5
=v
#1
:n

:s
b
:c
Find equivalent static force for an impact 
#2
:n

:s
b
:c
Data for sample 12.5, Pytel "Mech of Materials"
#5
:n
m
:v
80
:s
i
:u
kg
:d
kg
:c
Mass of impacting object
#6
:n
W
:v
784.8000000000001
:s
o
:u
N
:d
N
:c
Weight of impacting object
#7
:n
h
:v
10
:s
i
:u
m
:d
m
:c
Height of vertical drop
#8
:n
V
:v
14.0071410359145
:s
o
:u
m/sec
:d
m/sec
:c
Speed at impact
#9
:n
k
:v
46875
:s
i
:u
N/m
:d
N/m
:c
Body stiffness at impact point
#10
:n
Ä_s
:v
.0167424
:s
o
:u
m
:d
m
:c
Static deflection due to weight
#11
:n
Ä_max
:v
.5956450757217141
:s
o
:u
m
:d
m
:c
Maximum dynamic deflection
#12
:n
F_static
:v
27920.86292445535
:s
o
:u
N
:d
N
:c
Equivalent static force
#13
:n
Factor
:v
35.57704246235391
:s
o
:c
Amplification to get static load
#15
:n
E
:v
2E11
:s
i
:u
N/m^2
:d
MPa
:c
Modulus of elasticity
#16
:n
L
:v
1.2
:s
i
:u
m
:d
m
:c
Length of bar or beam
#17
:n
A
:v
.0018
:s
o
:u
m^2
:d
mm^2
:c
Area of bar
#18
:n
EA
:v
3.6E8
:s
o
:u
N
:d
N
:c
Axial property (optional)
#19
:n
k_bar
:v
3E8
:s
o
:u
N/m
:d
N/m
:c
Stiffness of axial bar
#21
:n
EI
:v
27000
:s
o
:u
N_m^2
:d
N_m^2
:c
Bending property (optional)
#22
:n
I
:v
.000000135
:s
o
:u
m^4
:d
m^4
:c
Moment of inertial of beam
#23
:n
k_cant
:v
46875
:s
o
:u
N/m
:d
N/m
:c
Stiffness at end of a cantilever beam
#24
:n
k_mid
:v
750000
:s
o
:u
N/m
:d
N/m
:c
Stiffness at middle of simple beam
#25
:n
k_over
:s
b
:u
N/m
:d
N/m
:c
Stiffness at overhang end of simple beam
#27
:n
g
:v
9.810000000000001
:s
i
:u
m/sec^2
:d
m/sec^2
:c
Gravitational constant
#28
:n
a
:s
b
:u
m
:d
m
:c
Overhang of a simple beam, L=a+b
#29
:n
b
:s
b
:u
m
:d
m
:c
Support span of overhanging simple beam
#30
:n
B
:v
.06
:s
i
:u
m
:d
m
:c
Rectangle base length
#31
:n
H
:v
.03
:s
i
:u
m
:d
m
:c
Rectangle height
=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
km
:m
1000
:t
m
#8
:f
mm
:m
1000
:t
um
#9
:f
in
:m
2.5399999999999
:t
cm
#10
:f
ft
:m
12
:t
in
#11
:f
mile
:m
5280
:t
ft
#12
:f
in
:m
1000000
:t
uin
#13
:f
1/mm
:m
25.4
:t
1/in
#14
:f
1/cm
:m
2.54
:t
1/in
#15
:f
1/m
:m
.254
:t
1/in
#16
:c
area
#17
:f
in^2
:m
645.1626
:t
mm^2
#18
:f
m^2
:m
1000000
:t
mm^2
#19
:f
cm^2
:m
100
:t
mm^2
#20
:f
ft^2
:m
144
:t
in^2
#21
:c
volume
#22
:f
in^3
:m
16387.1623
:t
mm^3
#23
:f
ft^3
:m
1728
:t
in^3
#24
:f
m^3
:m
1E9
:t
mm^3
#25
:f
cm^3
:m
1000
:t
mm^3
#26
:f
cm^3
:t
cc
#27
:c
force
#28
:f
lb
:m
4.44822
:t
N
#29
:f
N
:m
100000
:t
dyne
#30
:f
kN
:m
1000
:t
N
#31
:f
ton
:m
2000
:t
lb
#32
:f
kips
:m
1000
:t
lb
#33
:f
lb
:t
lbf
#34
:f
lb
:t
lbm
#35
:c
moments, work and energy
#36
:f
in-lb
:m
.1138
:t
N-m
#37
:f
ft-lb
:m
12
:t
in-lb
#38
:f
N-m
:m
100
:t
N-cm
#39
:f
N-m
:m
1000
:t
N-mm
#40
:f
N-m
:m
8.850744000000001
:t
in-lb
#41
:f
N-m
:m
.7375620000000001
:t
ft-lb
#42
:f
lb-in
:t
in-lb
#43
:f
N-m
:t
m-N
#44
:f
N-cm
:t
cm-N
#45
:f
N-m
:t
joule
#46
:f
joules
:t
joule
#47
:f
joule
:t
J
#48
:f
N-m
:t
kg m^2/sec^2
#50
:c
pressure and stress
#51
:f
bar
:m
100000
:t
Pa
#52
:f
psi
:m
6894.757
:t
Pa
#53
:f
MPa
:m
1000000
:t
Pa
#54
:f
MPa
:t
Mpa
#55
:f
GPa
:m
1000
:t
MPa
#56
:f
GPa
:t
Gpa
#57
:f
Pa
:t
pa
#58
:f
N/m^2
:t
Pa
#59
:f
N/mm^2
:t
MPa
#60
:f
N/mm^2
:m
1000000
:t
N/m^2
#61
:f
N/cm^2
:m
10000
:t
N/m^2
#62
:f
kpsi
:m
1000
:t
psi
#63
:f
psi
:m
144
:t
psf
#64
:f
kpsi
:t
ksi
#65
:f
psig
:t
psi
:a
14.7
#66
:c
acceleration
#67
:f
in/sec^2
:m
2.5399999999999
:t
cm/sec^2
#68
:f
in/s^2
:m
2.5399999999999
:t
cm/s^2
#69
:f
m/sec^2
:m
100
:t
cm/sec^2
#70
:f
m/sec^2
:m
1000
:t
mm/sec^2
#71
:f
m/s^2
:t
m/sec^2
#72
:f
ft/sec^2
:m
12
:t
in/sec^2
#73
:f
ft/s^2
:t
ft/sec^2
#74
:f
G
:m
32.17
:t
ft/sec^2
#75
:c
velocity
#76
:f
in/sec
:m
2.5399999999999
:t
cm/sec
#77
:f
m/sec
:m
100
:t
cm/sec
#78
:f
m/sec
:m
1000
:t
mm/sec
#79
:f
m/sec
:m
3.280839895013253
:t
ft/sec
#80
:f
(m/sec)^2
:m
10.76391012
:t
(ft/sec)^2
#81
:f
m/sec
:m
39.37007874015903
:t
in/sec
#82
:f
(m/sec)^2
:m
1550.0031
:t
(in/sec)^2
#83
:f
m/sec
:m
3.6
:t
km/hr
#84
:f
m/s
:t
m/sec
#85
:f
ft/sec
:m
12
:t
in/sec
#86
:f
ft/s
:t
ft/sec
#87
:f
in/s
:t
in/sec
#88
:f
rad/sec
:m
9.549296584
:t
rpm
#89
:f
mph
:m
1.466666666666667
:t
ft/sec
#90
:c
mass
#91
:f
blob
:m
386
:t
lb
#92
:f
slug
:m
32.17
:t
lb
#93
:f
kg
:m
2.204623
:t
lb
#94
:f
kg
:m
1000
:t
g
#95
:f
kg
:m
9.806649999999999
:t
N
#96
:c
mass mom of inertia
#97
:f
lb-in-sec^2
:m
.1138
:t
N-m-sec^2
#98
:f
lb-in-s^2
:m
.1138
:t
N-m-s^2
#99
:f
N-m-sec^2
:t
kg-m^2
#100
:f
N-m-s^2
:t
kg-m^2
#101
:f
lb-in-sec^2
:t
lb-in-s^2
#102
:f
blob-in^2
:t
lb-in-s^2
#103
:f
N-m-sec^2
:t
N-m-s^2
#104
:c
area moment of inertia
#105
:f
in^4
:m
416231.4256
:t
mm^4
#106
:f
m^4
:m
1E12
:t
mm^4
#107
:f
m^4
:m
1E8
:t
cm^4
#108
:f
ft^4
:m
20736
:t
in^4
#109
:f
in^4
:m
.0000004162314256
:t
m^4
#110
:c
density
#111
:f
lb/in^3
:m
27.6805
:t
g/cc
#112
:f
g/cc
:m
.001
:t
g/mm^3
#113
:f
lb/ft^3
:m
1728
:t
lb/in^3
#114
:f
kg/m^3
:m
.000001
:t
g/mm^3
#115
:f
lb/in^3
:m
.002590673575129534
:t
blob/in^3
#116
:f
blob/in^3
:m
.08333333333333333
:t
slug/in^3
#117
:f
slug/ft^3
:m
1728
:t
slug/in^3
#118
:f
kg/mm^3
:m
1000
:t
g/mm^3
#119
:f
SG
:t
g/cc
#120
:c
spring rate, and line loads
#121
:f
lb/in
:m
175.126
:t
N/m
#122
:f
N/mm
:m
1000
:t
N/m
#123
:f
lb/ft
:m
.08333333333333333
:t
lb/in
#124
:f
N/m
:m
.06852209266470997
:t
lb/ft
#125
:c
angles, angular velocity & acceleration
#126
:f
radians
:m
57.29577951308232
:t
degrees
:c
 
#127
:f
rad
:m
57.2957795129
:t
deg
#128
:f
rev
:m
360
:t
deg
#129
:f
rad
:t
radians
#130
:f
rad/sec
:m
57.29577951308232
:t
deg/sec
#131
:f
rad/s
:m
57.29577951308232
:t
deg/s
#132
:f
rad/sec^2
:m
57.29577951308232
:t
deg/sec^2
#133
:f
rad/s^2
:m
57.29577951308232
:t
deg/s^2
#134
:f
rad/sec
:m
9.549296584
:t
rpm
#135
:c
temperature
#136
:f
C
:m
1.8
:t
F
:a
32
#137
:f
F
:t
R
:a
459.69
#138
:f
C
:t
K
:a
273.16
#139
:c
power
#140
:f
HP
:m
550
:t
ft-lb/sec
#141
:f
HP
:m
550
:t
ft-lb/s
#142
:f
ft-lb/sec
:m
60
:t
ft-lb/min
#143
:f
ft-lb/s
:m
60
:t
ft-lb/min
#144
:f
ft-lb/sec
:m
12
:t
in-lb/sec
#145
:f
ft-lb/s
:m
12
:t
in-lb/s
#146
:f
HP
:m
745.699
:t
watts
#147
:f
kw
:m
1000
:t
watts
#148
:f
kW
:m
1000
:t
watts
#149
:f
HP
:t
hp
#150
:f
N-m/sec
:m
8.850756136188998
:t
in-lb/sec
#151
:f
N-m/s
:m
8.850756136188998
:t
in-lb/s
#152
:f
N-m/sec
:t
watts
#153
:f
N-m/s
:t
watts
#154
:f
watt
:t
watts
#155
:f
W
:t
watts
#156
:c
flow
#157
:f
cfm
:m
1728
:t
cim
#158
:c
percent
#159
:f
dec%
:m
100
:t
%
#161
:c
fracture mechanics
#162
:f
MPa-m^.5
:m
.909
:t
ksi-in^.5
:c
stress intensity
#163
:f
MPa-m^.5
:m
1000000
:t
Pa-m^.5
:c
stress intensity
#164
:f
ksi-in^.5
:m
1000
:t
psi-in^.5
:c
stress intensity
#165
:f
kpsi-in^.5
:m
1000
:t
psi-in^.5
:c
stress intensity
#167
:c
frequency
#168
:f
1/sec
:m
60
:t
1/min
#169
:f
1/s
:m
60
:t
1/min
#170
:f
Hz
:t
1/sec
#171
:f
Hz
:t
1/s
#172
:f
Hz
:t
hz
#173
:c
time
#174
:f
min
:m
60
:t
sec
#175
:f
min
:m
60
:t
s
#176
:f
hr
:m
60
:t
min
#177
:f
day
:m
24
:t
hr
#178
:f
week
:m
7
:t
day
#179
:f
year
:m
52
:t
week
#180
:f
year
:m
12
:t
month
#181
:c
viscosity
#182
:f
reyn
:t
lb-sec/in^2
:c
     absolute
#183
:f
reyn
:t
lb-s/in^2
#184
:f
reyn
:m
6894.696003767111
:t
Pa-s
#185
:f
reyn
:m
1000000
:t
ureyn
#186
:f
Pa-s
:m
1000
:t
mPa-s
#187
:f
cP
:t
mPa-s
#188
:c
   kinematic
#189
:f
m^2/sec
:m
10000
:t
cm^2/sec
#190
:f
m^2/s
:m
10000
:t
cm^2/s
#191
:f
cm^2/sec
:t
stoke
#192
:f
cm^2/s
:t
stoke
#193
:f
stoke
:m
100
:t
cS
#194
:f
m^2/sec
:m
1549.996853506387
:t
in^2/sec
#195
:f
m^2/s
:m
1549.996853506387
:t
in^2/s
#196
:c
stress intensity
#197
:f
psi-in^.5
:m
1098.843447385385
:t
Pa-m^.5
#198
:f
ksi-in^.5
:m
1000
:t
psi-in^.5
#199
:f
MPa-m^.5
:m
1000000
:t
Pa-m^.5
#200
:c
specific heat
#201
:f
J/kgC
:t
Wsec/kgC
#202
:f
Wsec/kgC
:m
3600
:t
Whr/kgC
=l
=f
=r
#1
:r
; Static load approximation of impact load
:s
C
#2
:r
; J.E. Akin Oct. 2011
:s
C
#4
:r
W = m * g                                                 ; gravity
#5
:r
sqrt (2 * g * h) = V                                    ; impact speed
#6
:r
F_static = W * Ä_max / Ä_s                    ; equivalent static load
#7
:r
W / k = Ä_s                                               ; static deflection of massless member
#8
:r
Ä_max = Ä_s + sqrt (Ä_s^2 + 2*h*Ä_s)  ; dynamic deflection
#9
:r
Ä_max = Ä_s * Factor                   ; scale factor
#10
:r
Factor = 1 + sqrt (1 + 2 * h / Ä_s)   ; alternate impact factor definition
#11
:r
; Bar & cantilever  Fixed -------------------L------------------- W
:s
C
#12
:r
k_bar = EA / L                                ; stiffness at end bar of length L
#13
:r
k_cant = 3*EI / L^3                         ; stiffness at end of cantilever
#14
:r
; Mid-span             Pin ------- L/2------ W -------- L/2 ------- Pin
:s
C
#15
:r
k_mid = 48 * EI / L^3                      ; stiffness at middle of simple beam
#16
:r
; Overhang            Pin --------- b --------- Pin ----- a -------- W,  L = a + b
:s
C
#17
:r
k_over = 3 * EI / (a^2 * L)               ; end stiffness of overhanging simple beam
#18
:r
E * A = EA                                       ; axial property
#19
:r
E * I = EI                                          ; bending property
#20
:r
L = a + b                                         ; overhang (a) and support span of beam
#21
:r
A = B * H                                         ; rectangle area, base * height
#22
:r
I = B * H^3 / 12                                ; rectangle moment of inertia
#23
:r
; NOTE Ä_s can be computed in a FEA study by applying the load at a point,
:s
C
#24
:r
; and solving for the displacement at that point, in the load direction, 
:s
C
=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,8,1,0,1,0
%Or,f,32,1,0,1,0
%Xu,f,146,2,0,2,0,0,8,972,672,160,811,0,0,0,0,3,-1,0,0,2,-11,400,34,0,0,0,161,Arial,5,10,22,36,50,98
%Xl,f,0,0,0,2,0,88,88,649,478,320,811,-1,-1,0,0,4,-1,0,0,2,-15,700,34,0,0,0,161,Arial Unicode MS,4,10,21,31,98
%Xp,f,0,0,0,2,0,110,110,671,500,480,811,-1,-1,0,0,5,-1,0,0,2,-15,700,34,0,0,0,161,Arial Unicode MS,3,13,25,99
%Xt,f,0,0,0,2,0,132,132,693,522,640,811,-1,-1,0,0,6,-1,0,0,2,-15,700,34,0,0,0,161,Arial Unicode MS,2,15,100
%Xn,f,0,0,0,2,0,154,154,715,544,800,811,-1,-1,0,0,7,-1,0,0,2,-15,700,34,0,0,0,161,Arial Unicode MS,2,15,100
%Xc,f,0,0,0,2,0,176,176,737,566,0,787,-1,-1,0,0,8,-1,0,0,2,-15,700,34,0,0,0,161,Arial Unicode MS,3,15,22,99
%Xf,f,0,0,0,2,0,0,0,993,664,0,811,0,0,0,0,2,-1,0,0,2,-11,400,34,0,0,0,161,Arial,4,16,26,38,98
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