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Shaft Calculation

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The document appears to be a shaft design calculation report containing input parameters, analysis results, and graphs.

The shaft appears to be designed to transmit power based on the input power and speed mentioned. It also contains loading and support conditions.

The material properties mentioned like yield strength, ultimate tensile strength etc. indicate the shaft is made of some kind of steel or alloy.

Shaft design and calculation Shaft calculation Clear table of results

i Check lines:7.4;7.5;7.13;7.14;
ii Informace
Project information
o projektu
? Input sectinon
1.0 Preliminary shaft diameter design
1.1 Calculation units
1.2 Transmitted power 2500.00 [kW] 1.6 Type of shaft load
1.3 Shaft speed 188.1 [/min]
1.4 Torsion moment 126927.17 [Nm] 1.7 Material of the shaft
1.5 Preliminary min. diameter 253.74 [mm]
2.0 Shaft shape and dimensions
2.1 The scale of the displayed shaft diameter. Calculation units
4000
3000
2000
1000
0
-2000 -1000 0 2000 4000 6000 8000 10000 12000 14000

-2000
-3000
-4000

2.2 Table 1 2 3 4 5 6 7 8 9 10
Origin 0.00 1243.00 2303.00 7408.00 12308.00 12318.00 12328.00 12348.00 12398.00 12398.00
L 1243.000 1060.000 5105.000 4900.000 10.000 10.000 20.000 50.000
ø Da 263.000 290.000 280.000 280.000 45.000 40.000 30.000 25.000
ø Db 290.000 280.000 280.000 275.000 45.000 40.000 30.000 25.000
ø da 0.000 0.000 0.000 5.000 5.000 5.000 5.000 0.000
ø db 0.000 0.000 0.000 5.000 5.000 5.000 5.000 0.000
R 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
2.3 Total length of the shaft 12398.00 [mm] 2.6 The shaft surface (Roughness Ra)
2.4 X-coordinate of the left support (bearing) Fixed 1773.00 [mm]
2.5 X-coordinate of the right support (bearing) Free 6878.00 [mm]
3.0 Notches and necking-down on the shaft
4.0 Loading of the shaft

-2000 0 2000 4000 6000 8000 10000 12000 14000

4.1 Loading X Fx F alfa Mt Mb alfa Q b alfa


[mm] [N] [°] [Nm] [°] [N/mm] [mm] [°]
1 0.00 374369.2 0.0 0 ###### 0.00
2 0.00 0.0 90 0.00 0.00
3
4
5
6
7
8
9
10
5.0 Rotating masses
5.1 Additional rotating masses (resonance speed)
5.2 Use loading from the weight of disks in the calculation?
5.3 X D d b Ro m
[mm] [kg/m^3] [kg]
M1 500.00 3500.00 0.00 50.00 7800.0 3752.24
M2 0.00 0.00 0.00 0.00 7800.0 0.00
M3 0.00 0.00 0.00 0.00 7800.0 0.00
M4 0.00 0.00 0.00 0.00 7800.0 0.00
M5 0.00 0.00 0.00 0.00 7800.0 0.00
6.0 Material and the type of loading
6.1 Shaft material (Ultimate tensile strength min-max) 6.17 Dead load
[MPa] 6.18 Max. displayed coefficient of safety 20
6.2 Ultimate tensile strength Su/Rm 595 [MPa] 6.19 Stress ratio factor a0 0.85
6.3 Yield strength in tension SY/Re 345 [MPa] 6.20 Coefficient of maximum loading
6.4 Yield strength in bending SYb/Reb 449 [MPa] 6.21 Bending 1.70
6.5 Yield strength in shear SYs/Res 242 [MPa] 6.22 Radial load 1.70
6.6 For reversed loading 6.23 Torsion 1.70
6.7 Fatigue limit - tension-pressure sC 226 [MPa] 6.24 Tension/Compression 1.70
6.8 Fatigue limit - bending seC 292 [MPa] 6.25 Loading conditions
6.9 Fatigue limit - torsion tC 208 [MPa] 6.26 Loading from bending moment
6.10 For cyclic loading 6.27 Loading from radial force
6.11 Fatigue limit - tension-pressure shC 339 [MPa] 6.28 Load from torsional moment
6.12 Fatigue limit - bending sehC 437 [MPa] 6.29 Loading from tension/pressure force
6.13 Fatigue limit - torsion thC 239 [MPa] 6.30 Dynamic strength check
6.14 Specific mass Ro 7850.0 [kg/m^3] 6.31 Impact from shaft surface
6.15 Modulus of elasticity in tension E 210000 [MPa] 6.32 Impact from shaft size
6.16 Modulus of elasticity in shear G 80000 [MPa] 6.33 Impact from stress concentration (notch)
? Results section
7.0 Results - summary
x y z S y+z 7.17 Graph
7.1 Reaction in the support R1 -374369.22 -2.693E-05 54166.7128 54166.7128 [N]
7.2 Reaction in the support R2 0 5.2201E-06 40811.7168 40811.7168 [N]
7.3 Total shaft weight m 5929.60 [kg]
5 200000
7.4 Maximum deflection y 20.1022 [mm]
180000
7.5 Maximum angular deflection j 105.3753 [°]
0
7.6 Angular deflection in R1 J 0.1093 [°] 0 2000 4000 6000 8000 10000 12000
160000
14000
7.7 Angular deflection in R2 J 0.1232 [°] 140000
-5
7.8 Max. bending stress se 32.0 [MPa] 120000
7.9 Max. stress in shear ts 0.7 [MPa]
-10 100000
7.10 Max. stress in torsion tt 57968.6 [MPa]
80000
7.11 Max. stress in tension/pressure sg 6.9 [MPa] -15
60000
7.12 Max. equivalent stress sr 85343.9 [MPa]
7.13 Min. static safety SFSt 0.00 40000
-20
7.14 Min. dynamic safety SFD 0.01 20000
7.15 Critical speed (A) nc 573.6 [/min] -25 0
Critical speed (B) nc 319.5 [/min]
Critical speed (C) nc 211.0 [/min]
7.16 Results for X co-ordinate 174.63 1371.60 1397.00 2095.50 2127.25 2127.25 2127.25 2127.25
-3.6044882 -0.8372565 -0.783725 0.55418883 0.59535488 0.59535488 0.59535488 0.59535488
6.23349878 6.36627154 6.29377587 5.42886635 5.42458671 5.42458671 5.42458671 5.42458671
1.59846547 1.59846547 1.59846547 1.59846547 1.59846547 1.59846547 1.59846547 1.59846547
6.23349878 6.36627154 6.29377587 5.42886635 5.42458671 5.42458671 5.42458671 5.42458671
0 0 0 0 0 0 0 0
8.0 Graph - Deflection, Bending angle
8.1 Curves in graph XZ Plane XY Plane Sum Angle
Deflection [mm] Bending angle [°]
25 400 0.3 400

20 350
350
0.2
15
300 300
10
0.1
250 250
5

0 200 0 200
0 2000 4000 6000 8000 10000 12000 14000 0 2000 4000 6000 8000 10000 12000 14000
-5 150
150
-0.1
-10
100 100
-15
-0.2
50 50
-20

-25 0 -0.3 0

9.0 Graph - Bending moment, Bending stress


9.1 Curves in graph XZ Plane XY Plane Sum Angle
Bending moment [Nm] Bending stress [MPa]
80000 200 40 200

180 180
60000 30
160 160
40000 20
140 140
20000 10
120 120

0 100 0 100
0 2000 4000 6000 8000 10000 12000 14000 0 2000 4000 6000 8000 10000 12000 14000
80 80
-20000 -10
60 60
-40000 -20
40 40
-60000 -30
20 20

-80000 0 -40 0

10.0 Graph - Radial force, Stress in shear


10.1 Curves in graph XZ Plane XY Plane Sum Angle
Radial force [N] Stress in shear [MPa]
50000 400 0.8 400

40000
350 0.6 350
30000
300 0.4 300
20000
250 0.2 250
10000

0 200 0 200
0 2000 4000 6000 8000 10000 12000 14000 0 2000 4000 6000 8000 10000 12000 14000
-10000
150 -0.2 150
-20000
100 -0.4 100
-30000
50 -0.6 50
-40000

-50000 0 -0.8 0

11.0 Graph - Axial force, Torsional moment


Tensile-Compressive stress [MPa] Axial force [N] Stress in torsion [MPa] Torsional moment [Nm]
8 400000 70000 200000

7 350000 180000
60000
160000
6 300000
50000 140000
5 250000 120000
40000
4 200000 100000
30000
3 150000 80000

20000 60000
2 100000
40000
1 50000 10000
20000
0 0 0 0
0 2000 4000 6000 8000 10000 12000 14000 0 2000 4000 6000 8000 10000 12000 14000

12.0 Graph - Torsional angle, Reduced stress, Safety coeficient


Reduced stress [MPa] Torsional angle [°] Dynamic safety Static safety
90000 120 25 25

80000
100
70000 20 20

60000 80

50000 15 15
60
40000
10 10
30000 40

20000
20 5 5
10000

0 0
0 2000 4000 6000 8000 10000 12000 14000 0 0 2000 4000 6000 8000 10000 12000 140000

13.0 Graphical output, CAD systems

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