Consider the loaded shaft illustrated in Figure Q4 (i). Theshaft is simply supported at A and D. The shoulder filletradius is 0.3 cm at B and C.If the shaft is subjected to a force of F-800 N, determine thefollowing:(a)The reaction forces at the two ends of the shaft A and D.(b)The bending moments at shoulder fillets B andC.(c)The nominal stresses at shoulder fillets B and C.(d)The stress concentration factor at shoulder fillet B.(e)The maximum stress in the shaft taking into account stressconcentrations.800 NT-0.3 canAd, - 3 cmd, = 5 cmd, - 3 cm5 cm8 cm8 cm12 cmFigure Q4 (i)The reference parameters are shown in Figure Q4 (ii) in thepage that follows. For 0.002 srlds 0.3 and 1.01 s Dlds 6.0,the stress concentration factor for bar bending is given as:kn-4.4= 0.632 + 0.377-0.14 – 0.363(P/a)" + 0.503(P/a)1- 2.39(P/a) + 3.368(2la)*-0.5The nominal stress is:32M%3Dnd3

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Answered: (a) The reaction forces at the two ends…

(a) The reaction forces at the two ends of the shaft A and D. (b) The bending moments at shoulder fillets B and C. (c) The nominal stresses at shoulder fillets B and C.

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

Consider the loaded shaft illustrated in Figure Q4 (i). The
shaft is simply supported at A and D. The shoulder fillet
radius is 0.3 cm at B and C.
If the shaft is subjected to a force of F-800 N, determine the
following:
(a)
The reaction forces at the two ends of the shaft A and D.
(b)
The bending moments at shoulder fillets B andC.
(c)
The nominal stresses at shoulder fillets B and C.
(d)
The stress concentration factor at shoulder fillet B.
(e)
The maximum stress in the shaft taking into account stress
concentrations.
800 N
T-0.3 can
A
d, - 3 cm
d, = 5 cm
d, - 3 cm
5 cm
8 cm
8 cm
12 cm
Figure Q4 (i)
The reference parameters are shown in Figure Q4 (ii) in the
page that follows. For 0.002 srlds 0.3 and 1.01 s Dlds 6.0,
the stress concentration factor for bar bending is given as:
kn
-4.4
= 0.632 + 0.377
-0.14 – 0.363(P/a)" + 0.503(P/a)
1- 2.39(P/a) + 3.368(2la)*
-0.5
The nominal stress is:
32M
%3D
nd3

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