Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Question
Chapter 6, Problem 33P
(a)
To determine
The maximum allowable value of tension using modified Goodman criterion.
(b)
To determine
The maximum allowable value of
(c)
To determine
The factor of safety guarding against yield.
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The axis ABCD receives a torque of 500Nm from the motor and transmits movement to other devices, by means of belts and pulleys connected at B and C. If it is known that the torques exerted on pulleys B and C are as shown In the figure, determine the minimum radius the shaft must have. You should consider that at point D of the motor there is a bearing that acts as a support for the shaft as at point A. The material of the shaft and its allowable shear stress are indicated in the drawing.Determine:to. Free-Body diagram.b. Shear force diagrams.c. Bending moment diagrams.d. Identification of the critical point of the axis.e. Calculation of the axis radius.
tperm=80MPa
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ΤΑ
J₁ =
J₂ =
(1)
=
L₁
Mi
Calculate the polar moments of inertia, J₁ and J₂, in segments (1) and (2), respectively.
MI
TB
i
B
12₂
Tc
X
mm4
mm4
A two-segment shaft is used to transmit power at constant speed through the pulleys shown in the figure. Power is input to the shaft
at B through a torque of TB 250 N-m. A torque of T₁ = 75 N·m is removed from the shaft at A, and a torque of Tc = 175 N-mis
removed from the shaft at C. The external torques act in the directions indicated in the figure. Both shaft segments are made of
phosphor bronze [G = 42 GPa] and both segments are solid shafts. Segment (1) has a diameter of d₁ = 24 mm and a length of
L₁ = 305 mm. Segment (2) has a diameter of d₂ = 35 mm and a length of L₂ = 855 mm. Determine the rotation angle of pulley C
relative to pulley A.
(1)
T₁ =
L₁
i
TB
T₂ = i
B
(2)
12
Determine the internal torques, T₁ and T₂, in segments (1) and (2), respectively. Use the internal torque sign convention in
Section 6.6.
N-m
Tc
N.m
с
Chapter 6 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
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