a dpa = 25 mm -L1- C Cable a L2 dpc = 22 mm B dpB = 30 mm- Cage W (a) 109 Cable Pulley Pin adp. Support bracket Cage at B Section a-a: pulley support detail at A and C Section a-a: pulley support detail at B (b)

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.15P: Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.
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A cable and pulley system in the figure part
a supports a cage of a mass 300 kg at B. Assume that
this includes the mass of the cables as well. The thickness
of each of the three steel pulleys is t = 40 mm.
The pin diameters are d pA = 25 mm, d pB = 30 mm,
and d pC =  22 mm (see figure part a and part b).
(a) Find expressions for the resultant forces acting
on the pulleys at A, B, and C in terms of cable
tension T.
(b) What is the maximum weight W that can be
added to the cage at B based on the following
allowable stresses? Shear stress in the pins is
50 MPa; bearing stress between the pin and the
pulley is 110 MPa

a
dpa = 25 mm
-L1-
C
Cable
a
L2
dpc = 22 mm
B
dpB = 30 mm-
Cage
W
(a)
109
Transcribed Image Text:a dpa = 25 mm -L1- C Cable a L2 dpc = 22 mm B dpB = 30 mm- Cage W (a) 109
Cable
Pulley
Pin
adp.
Support
bracket
Cage at B
Section a-a: pulley support
detail at A and C
Section a-a: pulley
support detail at B
(b)
Transcribed Image Text:Cable Pulley Pin adp. Support bracket Cage at B Section a-a: pulley support detail at A and C Section a-a: pulley support detail at B (b)
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