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MACHINE DESIGN
An Integrated Approach
3161
PROBLEM 316
Statement:
A track to guide bowling balls is designed with two round rods as shown in Figure P36.
The
rods are not parallel to one another but have a small angle between them.
The balls roll on
the rods until they fall between them and drop onto another track.
The angle between the
rods is varied to cause the ball to drop at different locations.
Each rod's unsupported length is
30 in and the angle between them is 3.2 deg.
The balls are 4.5 in dia and weigh 2.5 lb.
The
center distance between the 1india rods is 4.2 in at the narrow end.
Find the distance from
the narrow end at which the ball drops through and determine the worstcase shear and
moment maximum for the rods as the ball rolls a distance from the narrow end that is 98% of
the distance to drop. Assume that the rods are simply supported at each end and have zero
deflection under the applied loading.
(Note that assuming zero deflection is unrealistic.
This
assumption will be relaxed in the next chapter after deflection has been discussed.)
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 Spring '10
 N/A
 Machine Design

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