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.
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
Section: Chapter Questions
Problem 1.1MA
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Question
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:
- Determine the weight of counterweight J in order for the main jib DCB to be horizontal.
- Determine the magnitude of the x and y components of force at pin D.
- Determine the reactions at fixed support A.
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