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Unformatted text preview: h Edition, McGraw-Hill Book Co., Inc., New York, NY, 1962, pg. 616, problem
15.13. Analysis Type(s): Static Analysis (ANTYPE = 0) Element Type(s): Structural Mass Elements (MASS21) Input Listing: vm131.dat Test Case
Determine the acceleration at the tip P of a crane boom that has a constant angular velocity cab rotation (Ω)
while being raised with a constant angular velocity (ω). Figure 131.1 Rotating Crane Boom Problem Sketch Geometric Properties
d = 34.64 ft
h = 20 ft Loading
Ω = 0.3 rad/sec
ω = 0.5 rad/sec Analysis Assumptions and Modeling Notes
Consider X', Y', Z' as the fixed reference coordinate system. The global Cartesian coordinate system (XYZ) is taken
as attached to the cab which rotates at an angular velocity of Ω about the Y'-axis of the reference coordinate
system. The boom angular velocity ω is applied about the global Z-axis. The Coriolis effect due to the rotation
of the cab is modeled by putting a mass of 1 lb-sec2/ft (without rotary inertia) at point P, and cons...
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