Answered: he structure shown below is a…

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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