1.10-10 A cable and pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position, as shown in the figure part a. The cable has tensile force T and is attached at C. The length L of the pole is 6.0 m, the outer diameter is d = 140 mm, and the wall thickness is t = 12 mm. The pole pivots about a pin at A in figure part b. The allowable shear stress in the pin is 60 MPa and the allowable bearing stress is 90 MPa. Find the minimum diameter of the pin at A in order to support the weight of the pole in the position shown in the figure part a. 1.0 m B 5.0 m Pole Pin support plates 30° A Cable a (a) 4.0 m 1 (b) Pulley ACB Pin D T

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.10.10P: A cable and pulley system at D is used to bring a 230-lcg pole (ACB) to a vertical position, as...
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1.10-10 A cable and pulley system at D is used to
bring a 230-kg pole (ACB) to a vertical position, as
shown in the figure part a. The cable has tensile force
T and is attached at C. The length L of the pole is
6.0 m, the outer diameter is d = 140 mm, and the wall
thickness is t = 12 mm. The pole pivots about a pin at
A in figure part b. The allowable shear stress in the pin
is 60 MPa and the allowable bearing stress is 90 MPa.
Find the minimum diameter of the pin at A in
order to support the weight of the pole in the position
shown in the figure part a.
B
Pole
1.0 m
Cable
30°
Pulley
5.0 m
a
T
A
D
a
4.0 m
(a)
d
АСВ
A
Pin
Pin support
plates
PROBLEM 1.10-10
Transcribed Image Text:1.10-10 A cable and pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position, as shown in the figure part a. The cable has tensile force T and is attached at C. The length L of the pole is 6.0 m, the outer diameter is d = 140 mm, and the wall thickness is t = 12 mm. The pole pivots about a pin at A in figure part b. The allowable shear stress in the pin is 60 MPa and the allowable bearing stress is 90 MPa. Find the minimum diameter of the pin at A in order to support the weight of the pole in the position shown in the figure part a. B Pole 1.0 m Cable 30° Pulley 5.0 m a T A D a 4.0 m (a) d АСВ A Pin Pin support plates PROBLEM 1.10-10
Expert Solution
Step 1Given

The mass of the ACB pole is m=230 kg.

The length of the pole is L=6 m.

The outer diameter is d=140 mm

The thickness of the wall is t=12 mm.

The allowable shear stress of the pin is τa=60 MPa.

The allowable bearing stress of the pin is σb=90 MPa.

 

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