A 30 ft long smooth, straight, round log has been floated downstream in a 6 ft deep flume by upstream loggers. The outside diameter of the log is 12 in, and the saturated specific gravity of the wood is 0.72 relative to 50°F water. The 60°F flume water flows with an average velocity of 10 ft/sec. At the downstream collection point, one end of the log is chained to an excavator crane arm directly over the flume and lifted until the log is approximately vertical. The lower 2 ft of the log remain submerged in the flume. The upper end of the log is free to rotate, but the upper end cannot translate. Neglect buoyancy effects. What is most nearly the angle from the vertical that the log will deflect in the moving water?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A 30 ft long smooth, straight, round log has been floated downstream in a 6 ft deep flume by upstream
loggers. The outside diameter of the log is 12 in, and the saturated specific gravity of the wood is 0.72 relative
to 50°F water. The 60°F flume water flows with an average velocity of 10 ft/sec. At the downstream collection
point, one end of the log is chained to an excavator crane arm directly over the flume and lifted until the log
is approximately vertical. The lower 2 ft of the log remain submerged in the flume. The upper end of the log
is free to rotate, but the upper end cannot translate. Neglect buoyancy effects. What is most nearly the angle
from the vertical that the log will deflect in the moving water?
Transcribed Image Text:A 30 ft long smooth, straight, round log has been floated downstream in a 6 ft deep flume by upstream loggers. The outside diameter of the log is 12 in, and the saturated specific gravity of the wood is 0.72 relative to 50°F water. The 60°F flume water flows with an average velocity of 10 ft/sec. At the downstream collection point, one end of the log is chained to an excavator crane arm directly over the flume and lifted until the log is approximately vertical. The lower 2 ft of the log remain submerged in the flume. The upper end of the log is free to rotate, but the upper end cannot translate. Neglect buoyancy effects. What is most nearly the angle from the vertical that the log will deflect in the moving water?
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