Assume that this includes the mass of the cables as well. The thickness of each of the three steel pulleys is t40 mm. The pin diameters are dpa 25 mm. de 30 mm. and doc 22 mm (see figure part (a) and part (b)). (Assume the cable is initially horizontal before wrapping around the pulley at C. Also assume the cable is attached at a fixed point near pulley A and not on pin.)

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 1.8.4P: The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the...
icon
Related questions
Question
A cable and pulley system in the figure part (a) supports a cage of a mass 300 kg at B.
Fc =
a
14
dp
Cage
Section a-a: pulley support
W
Cable
dpc = 22 mm
d₂B = 30 mm
dpA = 25 mm
(a)
Ⓡ
Pulley
Pin
- Support
bracket
detail at A and C
(b)
Cage at B
Cable
dpB
1B
Section a-a: pulley
support detail 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 = 25 mm, dog = 30 mm, and dpc = 22 mm (see figure part (a) and part (b)). (Assume the cable is initially horizontal before wrapping around the pulley at C. Also assume the cable is attached at
a fixed point near pulley A and not on the pin.)
(a) Find expressions for the resultant forces acting on the pulleys at A, B, and C in terms of cable tension T. (Enter the magnitudes. Use the following as necessary: T.)
(b) What is the maximum weight W (in kN) that can be added to the cage at 8 based on the following allowable stresses? Shear stress in the pins is 59 MPa; bearing stress between the pin and the pulley is 102 MPa.
kN
Transcribed Image Text:A cable and pulley system in the figure part (a) supports a cage of a mass 300 kg at B. Fc = a 14 dp Cage Section a-a: pulley support W Cable dpc = 22 mm d₂B = 30 mm dpA = 25 mm (a) Ⓡ Pulley Pin - Support bracket detail at A and C (b) Cage at B Cable dpB 1B Section a-a: pulley support detail 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 = 25 mm, dog = 30 mm, and dpc = 22 mm (see figure part (a) and part (b)). (Assume the cable is initially horizontal before wrapping around the pulley at C. Also assume the cable is attached at a fixed point near pulley A and not on the pin.) (a) Find expressions for the resultant forces acting on the pulleys at A, B, and C in terms of cable tension T. (Enter the magnitudes. Use the following as necessary: T.) (b) What is the maximum weight W (in kN) that can be added to the cage at 8 based on the following allowable stresses? Shear stress in the pins is 59 MPa; bearing stress between the pin and the pulley is 102 MPa. kN
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Buckling of Columns
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning