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 mh2= 3.9 mh3= 5.1 ml1= 12.8 ml2= 17 ml3= 4.3 mmθ= 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 x−component of the reaction force at fixed support A, otherwise known as AxDetermine the y−component of the reaction force at fixed support A, otherwise known as Ay.Determine the reaction moment at fixed support A, otherwise known as MA. Fh3GEh2DCBl3h1А

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Answered: E C В l3

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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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 x−component of the reaction force at fixed support A, otherwise known as Ax
Determine the y−component of the reaction force at fixed support A, otherwise known as Ay.
Determine the reaction moment at fixed support A, otherwise known as MA.

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