500 mm 400 mm Gear 3 (600 mm diam) PA 250 mm Pc 20° 20° Gear 4 (250 mm diam) The rotating solid steel shaft is simply supported by bearings at points O and B. The resultant gear force P₁ = 2500N acts at an angle of 20° from the y-axis. Draw force diagrams and moment diagrams and find the critical point. The shaft is machined from steel with Sy = 490 MPa and Sut = 580 MPa. Using a factor of safety of 3, determine the minimum allowable diameter at the critical section of the shaft based on (a) a static yield analysis using the distortion energy theory (DE), and maximum shear stress theory (MSST) (b) a fatigue-failure analysis (DE-Soderberg Theory). Assume sharp fillet radii at the bearing shoulders for estimating stress-concentration factors. (Assume for rotating shafts the bending is completely reversed with a bending moment amplitude equal to that used for static conditions. The alternating torque is zero.)
500 mm 400 mm Gear 3 (600 mm diam) PA 250 mm Pc 20° 20° Gear 4 (250 mm diam) The rotating solid steel shaft is simply supported by bearings at points O and B. The resultant gear force P₁ = 2500N acts at an angle of 20° from the y-axis. Draw force diagrams and moment diagrams and find the critical point. The shaft is machined from steel with Sy = 490 MPa and Sut = 580 MPa. Using a factor of safety of 3, determine the minimum allowable diameter at the critical section of the shaft based on (a) a static yield analysis using the distortion energy theory (DE), and maximum shear stress theory (MSST) (b) a fatigue-failure analysis (DE-Soderberg Theory). Assume sharp fillet radii at the bearing shoulders for estimating stress-concentration factors. (Assume for rotating shafts the bending is completely reversed with a bending moment amplitude equal to that used for static conditions. The alternating torque is zero.)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:500 mm
400 mm
Gear 3
(600 mm diam)
PA
250 mm
Pc
20°
20°
Gear 4
(250 mm diam)
The rotating solid steel shaft is simply supported by bearings at points O and B. The resultant gear force P₁ = 2500N acts at an angle of 20° from the y-axis. Draw force diagrams and moment diagrams and find the critical point.
The shaft is machined from steel with Sy = 490 MPa and Sut = 580 MPa. Using a factor of safety of 3, determine the minimum allowable diameter at the critical section of the shaft based on
(a) a static yield analysis using the distortion energy theory (DE), and maximum shear stress theory (MSST)
(b) a fatigue-failure analysis (DE-Soderberg Theory). Assume sharp fillet radii at the bearing shoulders for estimating stress-concentration factors.
(Assume for rotating shafts the bending is completely reversed with a bending moment amplitude equal to that used for static conditions. The alternating torque is zero.)
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