Please help with this practice question. Thanks Question 1 ) determine the counterweight J in order for the main jib DCB to be horizontal. (The units should be in kN)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Please help with this practice question. Thanks Question 1 ) determine the counterweight J in order for the main jib DCB to be horizontal. (The units should be in kN)
Item 2
2 of 6
Various geometry:
hi = 26.9 m
ha = 4.1 m
hy = 5.6 m
1 = 11.3 m
l2 = 15.1 m
1s = 4.8 m
0 = 62.3 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.
i. Determine the weight of counterweight J in order for the main jib DCB to be horizontal.
ii. Determine the magnitude of the z and y components of force at pin D.
i. Determine the reactions at fixed support A.
Transcribed Image Text:Item 2 2 of 6 Various geometry: hi = 26.9 m ha = 4.1 m hy = 5.6 m 1 = 11.3 m l2 = 15.1 m 1s = 4.8 m 0 = 62.3 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. i. Determine the weight of counterweight J in order for the main jib DCB to be horizontal. ii. Determine the magnitude of the z and y components of force at pin D. i. Determine the reactions at fixed support A.
The main jib DCB (in green) has a weight of 25 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 structure shown below is a simplified tower crane. It carries a shipping crate suspended from B that has a weight of 97 kN.
The main body AEFG (in yellow) is fixed to the ground at A.
F
h3
G
E
h2
B
12
13
Transcribed Image Text:The main jib DCB (in green) has a weight of 25 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 structure shown below is a simplified tower crane. It carries a shipping crate suspended from B that has a weight of 97 kN. The main body AEFG (in yellow) is fixed to the ground at A. F h3 G E h2 B 12 13
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