The structure shown below is a simplified tower crane. It carries a shipping crate suspended from BB that has a weight of 93 kNkN . The main jib DCBDCB (in green) has a weight of 26 kNkN concentrated in the center of the beam. This is pinned to the main body at DD and is supported by a cable that is routed through pulleys at FF and GG and is attached to a concrete counterweight JJ. The main body AEFGAEFG (in yellow) is fixed to the ground at AA. Various geometry: h1=h1= 28.3 mm h2=h2= 3.3 mm h3=h3= 5.1 mm l1=l1= 13 mm l2=l2= 15.8 mm l3=l3= 3.5 mm θ=θ= 55.9 degreesdegrees Assumptions: The main body AEFGAEFG can be considered massless. The cable CFGJCFGJ is massless. The pulleys at FF and GG can be considered massless, frictionless, and of negligible diameter. All bodies are considered rigid. Determine the weight of counterweight JJ in order for the main jib DCBDCB to be horizontal.
The structure shown below is a simplified tower crane. It carries a shipping crate suspended from BB that has a weight of 93 kNkN . The main jib DCBDCB (in green) has a weight of 26 kNkN concentrated in the center of the beam. This is pinned to the main body at DD and is supported by a cable that is routed through pulleys at FF and GG and is attached to a concrete counterweight JJ. The main body AEFGAEFG (in yellow) is fixed to the ground at AA. Various geometry: h1=h1= 28.3 mm h2=h2= 3.3 mm h3=h3= 5.1 mm l1=l1= 13 mm l2=l2= 15.8 mm l3=l3= 3.5 mm θ=θ= 55.9 degreesdegrees Assumptions: The main body AEFGAEFG can be considered massless. The cable CFGJCFGJ is massless. The pulleys at FF and GG can be considered massless, frictionless, and of negligible diameter. All bodies are considered rigid. Determine the weight of counterweight JJ in order for the main jib DCBDCB to be horizontal.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The structure shown below is a simplified tower crane. It carries a shipping crate suspended from BB that has a weight of 93 kNkN .
The main jib DCBDCB (in green) has a weight of 26 kNkN concentrated in the center of the beam. This is pinned to the main body at DD and is supported by a cable that is routed through pulleys at FF and GG and is attached to a concrete counterweight JJ.
The main body AEFGAEFG (in yellow) is fixed to the ground at AA.
Various geometry:
h1=h1= 28.3 mm
h2=h2= 3.3 mm
h3=h3= 5.1 mm
l1=l1= 13 mm
l2=l2= 15.8 mm
l3=l3= 3.5 mm
θ=θ= 55.9 degreesdegrees
Assumptions:
- The main body AEFGAEFG can be considered massless.
- The cable CFGJCFGJ is massless.
- The pulleys at FF and GG can be considered massless, frictionless, and of negligible diameter.
- All bodies are considered rigid.
- Determine the weight of counterweight JJ in order for the main jib DCBDCB to be horizontal.
- Determine the magnitude of the xx and yy components of force at pin DD.
- Determine the reactions at fixed support AA.
Transcribed Image Text:F
h3
G
E
h2
C
В
l1
l2
13
h1
А
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