Q1 The rotating solid steel shaft is simply supported by bearings A and B, the gear has 500-mm pitch diameter.The shaft transmits a torque, T. The shaft is machined from steel AISI 1040 CD. Using a factor of safety of2.5, determinea- The torque Tb- Reactions RA and Rcc- Draw th Bending Diagramd- Maximum bending momente- the minimum allowable diameter of the shaft using DE_Goodman theory. Assume sharp fillet radii at thebearing shoulders.450 mmB550 mmC500-mmdia.Fy = 8000 N

Toqrue = Force * radius = 8000 * 0.5 m = 4000 Nm

Answered: a- The torque T b- Reactions RA and Rc…

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a- The torque T b- Reactions RA and Rc c- Draw th Bending Diagram

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.15P: Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.

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Concept explainers

Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

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Q1 The rotating solid steel shaft is simply supported by bearings A and B, the gear has 500-mm pitch diameter.
The shaft transmits a torque, T. The shaft is machined from steel AISI 1040 CD. Using a factor of safety of
2.5, determine
a- The torque T
b- Reactions RA and Rc
c- Draw th Bending Diagram
d- Maximum bending moment
e- the minimum allowable diameter of the shaft using DE_Goodman theory. Assume sharp fillet radii at the
bearing shoulders.
450 mm
B
550 mm
C
500-mm
dia.
Fy = 8000 N

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