Load Diagrams Program 0180 Cellular Bumpers
Calculation Example
1. Calculation of energy per bumper: W = ½ m × v²
2. Readout compression length from the diagram
3. Readout final load of the bumper from the table
4. Result and verification
➞ S < 0,8 × h
➞ F < Fmax of the crane structure
➞ a = v²/2s < amax
W = Energy Absorption [J]
s = Travel [mm]
F = Force [kN]
v = Velocity [m/s]
m = Mass [kg]
h = Bumper height
a = deceleration
F
100 x 100 Energy absorption
100 x 100 Final load
0
10
20
30
40
50
60
70
80
90
0 0,5 1 1,5 2 2,5 3
Work [KJ]
Trav
el [m
m]
v = 1 m/s
v = 2 m/sv = 3 m/s v = 4 m/s
0
10
20
30
40
50
60
70
80
90
0 10 20 30 40 50 60 70 80 90 100
Force [KN]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4 m/s
static
Ws
2
0
5
10
15
20
25
30
35
0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s
v = 3 m/s v = 4 m/s
0
5
10
15
20
25
30
35
0605040302010
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
80 x 40 Energy Absorption
80 x 40 Final Load
3
80 x 80 Energy Absorption
0
10
20
30
40
50
60
70
0 0,2 0,4 0,6 0,8 1 1,2 1,4 1,6
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s
v = 3 m/s v = 4 m/s
0
10
20
30
40
50
60
70
0605040302010
Force [KN]
Trav
el [m
m]
static
v = 1 m/s v = 2 m/s v = 3 m/s v = 4 m/s
80 x 80 Final Load
4
80 x 120 Energy Absorption
0
20
40
60
80
100
25,115,00
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
20
40
60
80
100
05040302010
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
80 x 120 Final Load
5
0
5
10
15
20
25
30
35
40
45
0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 1,1 1,2 1,3 1,4 1,5
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s
v = 3 m/s v = 4 m/s
0
5
10
15
20
25
30
35
40
45
0 10 20 30 40 50 60 70 80 90
Force [KN]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4
100 x 50 Energy Absorption
100 x 50 Final Load
6
0
10
20
30
40
50
60
70
80
90
0 0,5 1 1,5 2 2,5 3
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/sv = 3 m/s v = 4 m/s
0
10
20
30
40
50
60
70
80
0 10 20 30 40 50 60 70 80 90 100
Force [KN]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4 m/s
100 x 100 Energy Absorption
100 x 100 Final Load
7
0
20
40
60
80
100
120
0 0,5 1 1,5 2 2,5 3 3,5 4 4,5
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
20
40
60
80
100
120
140
0 10 20 30 40 50 60 70 80
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/sv = 3 m/s v = 4 m/s
100 x 150 Energy Absorption
100 x 150 Final Load
8
0
10
20
30
40
50
5,225,115,00
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
10
20
30
40
50
0 20 40 60 80 100 120
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
125 x 63 Energy Absorption
125 x 63 Final Load
9
0
20
40
60
80
100
120
0 1 2 3 4 5 6
Work [KJ]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4 m/s
0
10
20
30
40
50
60
70
80
90
100
110
0 20 40 60 80 100 120 140
Force [KN]
Trav
el [m
m]
static
v = 1 m/s v = 2 m/s v = 3 m/s v = 4 m/s
125 x 125 Energy Absorption
125 x 125 Final Load
10
0
20
40
60
80
100
120
140
160
0 1 2 3 4 5 6 7 8 9
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
20
40
60
80
100
120
140
160
0 20 40 60 80 100 120
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
125 x 188 Energy Absorption
125 x 188 Final Load
11
0
10
20
30
40
50
60
70
6543210
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/sv = 3 m/s v = 4 m/s
0
10
20
30
40
50
60
70
0 50 100 150 200 250
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/sv = 3 m/s
v = 4 m/s
160 x 80 Energy Absorption
160 x 80 Final Load
12
0
20
40
60
80
100
120
140
0 2 4 6 8 10 12 14
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s
v = 3 m/s v = 4 m/s
0
20
40
60
80
100
120
140
0 50 100 150 200 250
Forces [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/sv = 3 m/s v = 4 m/s
160 x 160 Energy Absorption
160 x 160 Final Load
13
0
20
40
60
80
100
120
140
160
180
200
220
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
20
40
60
80
100
120
140
160
180
200
220
002051001050
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
160 x 240 Energy Absorption
160 x 240 Final Load
14
0
10
20
30
40
50
60
70
80
90
0 2 4 6 8 10 12 14
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s
v = 3 m/s v = 4 m/s
0
10
20
30
40
50
60
70
80
90
0 50 100 150 200 250 300 350
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
200 x 100 Energy Absorption
200 x 100 Final Load
15
0
20
40
60
80
100
120
140
160
180
02510150
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/sv = 3 m/s v = 4 m/s
0
20
40
60
80
100
120
140
160
180
0 50 100 150 200 250 300
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
200 x 200 Energy Absorption
200 x 200 Final Load
16
0
50
100
150
200
250
0 5 10 15 20 25 30 35
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
50
100
150
200
250
0 50 100 150 200 250 300
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
200 x 300 Energy Absorption
200 x 300 Final Load
17
0
20
40
60
80
100
02510150
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
20
40
60
80
100
0050040030020010
Force [KN]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4 m/s
250 x 125 Energy Absorption
250 x 125 Final Load
18
0
50
100
150
200
0 5 10 15 20 25 30 35 40 45
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s v = 2 m/s v = 3 m/s v = 4 m/s
0
20
40
60
80
100
120
140
160
180
200
220
0 40 80 120 160 200 240 280 320 360 400 440 480 520
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/sv = 3 m/s v = 4 m/s
250 x 250 Energy Absorption
250 x 250 Final Load
19
0
50
100
150
200
250
300
0 10 20 30 40 50 60 70
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
50
100
150
200
250
300
0 100 200 300 400 500 600
Force [KN]
Trav
el [m
m]
static
v = 1 m/s v = 2 m/s v = 3 m/s v = 4 m/s
250 x 375 Energy Absorption
250 x 375 Final Load
20
0
20
40
60
80
100
120
040302010
Work [KJ]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4 m/s
0
20
40
60
80
100
120
140
0 100 200 300 400 500 600 700 800
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s
v = 3 m/s
v = 4 m/s
315 x 158 Energy Absorption
315 x 158 Final Load
21
0
20
40
60
80
100
120
140
160
180
200
220
240
260
0 10 20 30 40 50 60 70 80 90
Work [KJ]
Trav
el [m
m]
static
v = 1m/s
v = 2 m/s
v = 3 m/sv = 4 m/s
0
20
40
60
80
100
120
140
160
180
200
220
240
260
280
0 100 200 300 400 500 600 700 800
Force [KN]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s
v = 3 m/s
v = 4 m/s
315 x 315 Energy Absorption
315 x 315 Final Load
22
0
50
100
150
200
250
300
350
400
450
0 20 40 60 80 100 120 140
Work [KJ]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4 m/s
0
50
100
150
200
250
300
350
400
0 100 200 300 400 500 600 700 800
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
315 x 475 Energy Absorption
315 x 475 Final Load
23
0
20
40
60
80
100
120
140
160
180
0 10 20 30 40 50 60 70 80 90 100
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
20
40
60
80
100
120
140
160
0 100 200 300 400 500 600 700 800 900 1000 1100 1200
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s
v = 3 m/s
v = 4 m/s
400 x 200 Energy Absorption
400 x 200 Final Load
24
0
50
100
150
200
250
300
350
0 200 400 600 800 1000 1200 1400
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
0
100
200
300
400
500
052002051001050
Work [KJ]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4 m/s
400 x 400 Energy Absorption
400 x 400 Final Load
25
0
100
200
300
400
500
052002051001050
Work [KJ]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4 m/s
0
100
200
300
400
500
0 200 400 600 800 1000 1200
Force [KN]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s
v = 3 m/s v = 4 m/s
400 x 600 Energy Absorption
400 x 600 Final Load
26
0
50
100
150
200
250
0 20 40 60 80 100 120 140 160 180
Work [KJ]
Trav
el [m
m]
static v = 1 m/s v = 2 m/s v = 3 m/s v = 4 m/s
0
50
100
150
200
250
0002005100010050
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
500 x 250 Energy Absorption
500 x 250 Final Load
27
0
50
100
150
200
250
300
350
400
450
0 50 100 150 200 250 300 350 400
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s v = 2 m/s v = 3 m/s v = 4 m/s
0
50
100
150
200
250
300
350
400
450
0002005100010050
Work [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
500 x 500 Energy Absorption
500 x 500 Final Load
28
0
100
200
300
400
500
600
700
0050040030020010
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s v = 2 m/s v = 3 m/s v = 4 m/s
0
100
200
300
400
500
600
700
005100010050
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
500 x 750 Energy Absorption
500 x 750 Final Load
29
0
50
100
150
200
250
0 50 100 150 200 250 300 350
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s v = 2 m/s v = 3 m/s v = 4 m/s
0
50
100
150
200
250
00520002005100010050
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
600 x 300 Energy Absorption
600 x 300 Final Load
30
0
100
200
300
400
500
0 100 200 300 400 500 600
Work [KJ]
Trav
el [m
m]
static
v = 1 m/s v = 2 m/s v = 3 m/s v = 4 m/s
0
100
200
300
400
500
00520002005100010050
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
600 x 600 Energy Absorption
600 x 600 Final Load
31
0
100
200
300
400
500
600
700
800
0 100 200 300 400 500 600 700 800 900 1000
Work [KJ]
Trav
el [m
m]
static
v = 1 m/sv = 2 m/s v = 3 m/s v = 4 m/s
0
100
200
300
400
500
600
700
800
00520002005100010050
Force [KN]
Trav
el [m
m]
static
v = 1 m/s
v = 2 m/s v = 3 m/s v = 4 m/s
600 x 900 Energy Absorption
600 x 900 Final Load
32
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