A circular solid shaft is supported by a circular end cap, and the shaft issubjected to a 150 kN axial load as shown below. Both members are made ofsteel with allowable normal stress = 140 MPa, allowable shear stress = 100MPa, and allowable bearing stress = 240 MPa. Determine the minimum requireddiameter of the solid shaft, and the minimum required outer diameter andthickness of the circular end plate.P = 150 kNdzd2= 30 mm%3D

Answered: A circular solid shaft is supported by…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A circular solid shaft is supported by a circular end cap, and the shaft is
subjected to a 150 kN axial load as shown below. Both members are made of
steel with allowable normal stress = 140 MPa, allowable shear stress = 100
MPa, and allowable bearing stress = 240 MPa. Determine the minimum required
diameter of the solid shaft, and the minimum required outer diameter and
thickness of the circular end plate.
P = 150 kN
dz
d2= 30 mm
%3D

Expert Solution

Step 1 diameter of circular solid shaft

D₃ is the dia of circular shaft and allowable Normal stress in solid shaft 140 MPa

and axial load=150 KN

$A r e a A = \frac{π}{4} \times {D_{3}}^{2} A l l o w a b l e n o r m a l s t r e s s 140 = \frac{l o a d}{A r e a} A r e a = \frac{π}{4} \times {D_{3}}^{2} = \frac{150 \times 10^{3}}{140} D i a o f s o l i d s h a f t D_{3} = 36.93 m m$

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