he structure shown below is a simplified tower crane. It carries a shipping crate suspended from B that has a weight of 116 kN . The main jib DCB (in green) has a weight of 17 kN concentrated in the center of the beam. This is pinned to the main body at D and is supported by a cable that is routed through pulleys at F and G and is attached to a concrete counterweight J.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The structure shown below is a simplified tower crane. It carries a shipping crate suspended from B that has a weight of 116 kN .

The main jib DCB (in green) has a weight of 17 kN concentrated in the center of the beam. This is pinned to the main body at D and is supported by a cable that is routed through pulleys at F and G and is attached to a concrete counterweight J.

The main body AEFG (in yellow) is fixed to the ground at A.

 

Various geometry:

h1= 26.5 m

h2= 3.9 m

h3= 5.1 m

l1= 12.8 m

l2= 17 m

l3= 4.3 mm

θ= 57.6 degrees

 

Assumptions : 

  • The main body AEFG can be considered massless.
  • The cable CFGJ is massless.
  • The pulleys at F and G can be considered massless, frictionless, and of negligible diameter.
  • All bodies are considered rigid.

 

Questions: 

  1. Determine the weight of counterweight J in order for the main jib DCB to be horizontal.
  2. Determine the magnitude of the x and y components of force at pin D.
  3. Determine the reactions at fixed support A.
F
h3
G
E
h2
D
C
B
l3
h1
А
Transcribed Image Text:F h3 G E h2 D C B l3 h1 А
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