A rig must hoist a load of 300,000 lbf. The drawworks can provide an input power to the block and tackle system as high as 500 hp. Eight lines are strung between the crown block and traveling block. Calculate (1) the static tension in the fast line when upward motion is impending, (2) the maximum hook horsepower available, (3) the maximum hoisting speed, (4) the actual derrick load, (5) the maximum equivalent derrick load, and (6) the derrick efficiency factor. Assume that the rig floor is arranged as shown in below figure.
Solution
1. The power efficiency for n = 8 is given as 0.841. The tension in the fast line is given by
2. The maximum hook horsepower available is
3. The maximum hoisting speed is given by
to pull a 90-ft stand would require
4. The actual derrick load is
5. The maximum equivalent load is
6. The derrick efficiency factor
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