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Davit- Pulley Pin- Cable- a

Davit- Pulley Pin- Cable- a

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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TT α = 15° Pin- Cable- Figure 1 A lifeboat hangs from a ship's two davits, as shown in Figure 1. A pin of diameter d=20 mm passes through each davit and supports two pulleys, one on each side of the davit. Cables attached to the lifeboat pass over the pulleys and wind around winches that raise and lower the lifeboat. The lower parts of the cables are vertical and the upper parts make an angle a=15° to the horizontal. The allowable tensile force in each cable is 8 kN, and the allowable shear stress in the pins is 27.5 MPa. The weight P that will be carried in the lifeboat and the weight of the boat, W-6.7 kN, have a common line of action which passes through the middle of the two small pulleys attached to the boat. a. Draw the free body diagram (FBD) of the lifeboat and express the tensile force of the cables I as a function of the useful load P. b. Draw the FBD of the bow pin and express the external force V which the davit applies to the pin as a function of the tensile force of the cables T. c. Estimate the maximum useful weight, P, which will not exceed the allowable shear stress in the pins. d. Estimate the maximum useful weight, peable, which will not exceed the allowable tensile force in the cables. max e. Estimate the maximum useful weight Pmax. Davit- Pulley
Transcribed Image Text:TT α = 15° Pin- Cable- Figure 1 A lifeboat hangs from a ship's two davits, as shown in Figure 1. A pin of diameter d=20 mm passes through each davit and supports two pulleys, one on each side of the davit. Cables attached to the lifeboat pass over the pulleys and wind around winches that raise and lower the lifeboat. The lower parts of the cables are vertical and the upper parts make an angle a=15° to the horizontal. The allowable tensile force in each cable is 8 kN, and the allowable shear stress in the pins is 27.5 MPa. The weight P that will be carried in the lifeboat and the weight of the boat, W-6.7 kN, have a common line of action which passes through the middle of the two small pulleys attached to the boat. a. Draw the free body diagram (FBD) of the lifeboat and express the tensile force of the cables I as a function of the useful load P. b. Draw the FBD of the bow pin and express the external force V which the davit applies to the pin as a function of the tensile force of the cables T. c. Estimate the maximum useful weight, P, which will not exceed the allowable shear stress in the pins. d. Estimate the maximum useful weight, peable, which will not exceed the allowable tensile force in the cables. max e. Estimate the maximum useful weight Pmax. Davit- Pulley
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