We will continue the analysis of forces and moments on a tower crane. We will consider the Krøll
K-10000, one of the largest tower cranes in the world (120m tall), and only 20 have been built.
Tower cranes
Tower cranes are used in construction to move material on a construction site, and are designed to transmit load along the central tower, while minimizing the moment at the base. The K-10000 tower crane uses two mobile counterweights (CW), as well as a fixed counterweight (CW) on the end. The mobile counterweights move on trolleys, and can be placed anywhere along the length of the counterweight jib. The crane operates in two modes: single trolley, where the inner counterweight is parked at the minimum distance while the outer one is mobile, and double trolley where both counterweights move together. http://www.towercrane.com/K-10000_tower_crane_01-00.htm single trolley mode
double trolley mode
Our criterion for safety will be determined by the moment at the base of the crane. In addition to the dimensions and masses listed above, take the mass of the jib arms as 10 and 20 tons; 1 ton
= 1 Mg. Start your analysis by drawing the free body diagram for the configuration, and identify what data you are using. The manufacturer’s installation suggests sufficient concrete mounting so that the base can sustain an overturning moment of 49,000 kips · ft. (66 MN·m). If an installed mount can only sustain half the recommended moment, what is the maximum load that can be safely lifted at the largest outer radius of the crane in double trolley mode?
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