TTα = 15°Pin-Cable-Figure 1A lifeboat hangs from a ship's two davits, as shown in Figure 1. A pin of diameterd=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 andlower the lifeboat. The lower parts of the cables are vertical and the upper parts make anangle a=15° to the horizontal. The allowable tensile force in each cable is 8 kN, and theallowable shear stress in the pins is 27.5 MPa. The weight P that will be carried in thelifeboat and the weight of the boat, W-6.7 kN, have a common line of action which passesthrough 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 thecables 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 appliesto 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 shearstress in the pins.d. Estimate the maximum useful weight, peable, which will not exceed the allowabletensile force in the cables.maxe.Estimate the maximum useful weight Pmax.Davit-Pulley

dp=20mm=0.78inα=15°Tmax=8kN=1798lbζp=27.5MPa=3988.538psiWL=6.7kN=1506.12lb

Answered: Davit- Pulley Pin- Cable- a

Engineering

Mechanical Engineering

Davit- Pulley Pin- Cable- a

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.9.9P: A lifeboat hangs from two ship's davits. as shown in the figure. A pin of diameter d = 0.80 in....

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Types of loading

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Question

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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