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20130130-Kis-Exercise 4.3.1

The document provides a technical design exercise focused on calculating various parameters for a gearbox shaft, including bearing loads, bending moments, torque, and load distributions. It presents specific data such as drive power, rotation speed, and safety factors, and concludes with the adequacy of shaft diameters and cross sections for the applied loads. The solution includes calculated values for loads and moments, confirming the design's compliance with safety standards.

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aneaberasturilop
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16 views2 pages

20130130-Kis-Exercise 4.3.1

The document provides a technical design exercise focused on calculating various parameters for a gearbox shaft, including bearing loads, bending moments, torque, and load distributions. It presents specific data such as drive power, rotation speed, and safety factors, and concludes with the adequacy of shaft diameters and cross sections for the applied loads. The solution includes calculated values for loads and moments, confirming the design's compliance with safety standards.

Uploaded by

aneaberasturilop
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Exercises for self‐stu

udy Teechnical Desiign

4.3 Sh
hafts

4.3.1 SShaft of a ge
earbox

A gearbo ox shaft (matterial E 335, see picture bbelow) is loaaded with tw


wo forces lyinng in the sam
me plane.
Beside thhe resulting bending moment a torq ue is applied d (drive powe
er P = 180kWW, rotation sppeed n =
‐‐1
600 min ) at the leftt shaft end (ccross sectionn 1). The drivven machine is connectedd to the shafft at the
right shaaft end (crosss section 5).

Given daata:

Drive powerr P = 1180kW


Rotation speeed: n = 6600min‐1
Loads: F1 = 46kN
F2 = 42kN
SSafety factorr: SD = 4
SShaft diametters: d1 = d5 = 80mm
d2 = d3 = d4 = 100
0mm
Distances: L = 3380mm
L1 = 510mm
L2 = 110mm
l1 = 550mm
l2 = 1130mm
l3 = 1190mm
l4 = L 2
l5 = 330mm
lA = 660mm

Determine

a) the bearingg loads FA and FB,


b) the bending moments Mb1 … Mb5,
c) the torque moment Mt,
d) the reactio
on load distributions for tthe bending moment and d the torquee along the sh
haft axis.
e) Are the diaameters for cross
c equate to transfer the appplied torque
sectionn 1 and 5 ade e?
f) Are the crooss sections 1 to 5 adequuate for the applied
a bendding momentts?

43
Exercises for self‐stu
udy Teechnical Desiign

Solution
ns:

a) FA = 49.58kN N, FB = 38.42kkN
b) Mb1 = ‐2300N Nm, Mb2 = ‐5 5980Nm, Mb33  ‐5765Nm m, Mb4 = ‐4620
0Nm, Mb5 = ‐‐1260Nm
c) T = 2864.79NNm
d) DDiagrams
e) BBoth cross seections are dimensioned
d adequate (t = 28.5N/mm m² < t,per = 339.21N/mm²²)
f) C f the cross section withh the maximu
Calculation for um bending load
l for eachh diameter: cross
c
ssection 1 (d1 = 80mm, Mb1 = ‐2300Nm m, b1 = 47.9 9N/mm²) andd cross sectioon 2 (d2 = 1000mm,
Mb2 = ‐5980N Nm, b2 = 60 0.9N/mm²),  b,max = b2 = 60.9N/mm² < 63.17N/m mm² = b,per

44

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