,362 N. Also, a completely revers

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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The shaft shown the figure below, is supported by a bearing on the left end. The shaft
also supports a pulley on the right end, which rotates. The tensions in the belt of the
pulley are F. =2,739 y and F,=1,362 N. Also, a completely reversed axial load of F
11 N is applied to the right end. The shaft is made of UNS G10450 CD steel, with
2.
a
ground surface and 99 z reliability and operates at room temperature. Assume,
K =1.35 for torque and formula 6- 34 to calculate K
fs'
K, - 1
K = 1 +
(6-34)
1+ va/ Vr
Bending or axial:
Va = 0.246 – 3.08(10)S+ 1.51(10-)S, – 2.67(10-*)S 50 s Su s 250 kpsi
Va = 1.24 - 2.25(10-)S+1.60(10)$ – 4.11(10-1)S,
340 S S 1700 MPa
(6-35)
Torsion:
Va = 0.190 – 2.51(10-)S+ 1.35(10-), – 2.67(10-)S 50 < Su < 220 kpsi
Va = 0.958 – 1.83(10-)S+ 1.43(10-")S-4.11(10-1)s
340 < S S 1500 MPa
(6-36)
All fillet radius r-0.1d
All dimensions are in mm
300D
-30
100
:600
1. Identify the critical point(s) on the shaft and show it clearly on the diagram.
2. Draw the cartesian coordinate system and identify all the components of stresses at the critical
point(s) according to the cartesian coorduinate system.
3. Calculate the resultant amplitude of stress.
4. Calculate the resultant mean stress.
5. Calculate the six Marin factors and endurance limit for the shaft.
6. Utlize Gerber theory and estimate the fatigue factor of safety.
7. Calculate the maximum stress and estimate the yield factor of safety.
8. WIlII the shaft fail?
9. Calculate the life of the shaft.
Transcribed Image Text:The shaft shown the figure below, is supported by a bearing on the left end. The shaft also supports a pulley on the right end, which rotates. The tensions in the belt of the pulley are F. =2,739 y and F,=1,362 N. Also, a completely reversed axial load of F 11 N is applied to the right end. The shaft is made of UNS G10450 CD steel, with 2. a ground surface and 99 z reliability and operates at room temperature. Assume, K =1.35 for torque and formula 6- 34 to calculate K fs' K, - 1 K = 1 + (6-34) 1+ va/ Vr Bending or axial: Va = 0.246 – 3.08(10)S+ 1.51(10-)S, – 2.67(10-*)S 50 s Su s 250 kpsi Va = 1.24 - 2.25(10-)S+1.60(10)$ – 4.11(10-1)S, 340 S S 1700 MPa (6-35) Torsion: Va = 0.190 – 2.51(10-)S+ 1.35(10-), – 2.67(10-)S 50 < Su < 220 kpsi Va = 0.958 – 1.83(10-)S+ 1.43(10-")S-4.11(10-1)s 340 < S S 1500 MPa (6-36) All fillet radius r-0.1d All dimensions are in mm 300D -30 100 :600 1. Identify the critical point(s) on the shaft and show it clearly on the diagram. 2. Draw the cartesian coordinate system and identify all the components of stresses at the critical point(s) according to the cartesian coorduinate system. 3. Calculate the resultant amplitude of stress. 4. Calculate the resultant mean stress. 5. Calculate the six Marin factors and endurance limit for the shaft. 6. Utlize Gerber theory and estimate the fatigue factor of safety. 7. Calculate the maximum stress and estimate the yield factor of safety. 8. WIlII the shaft fail? 9. Calculate the life of the shaft.
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