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

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

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.9.10P: A cable and pulley system in the figure part a supports a cage of a mass 300 kg at B. Assume that...

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Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

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 $m = 230 k g$ .

The length of the pole is $L = 6 m$ .

The outer diameter is $d = 140 m m$

The thickness of the wall is $t = 12 m m$ .

The allowable shear stress of the pin is $τ_{a} = 60 M P a$ .

The allowable bearing stress of the pin is $σ_{b} = 90 M P a$ .

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