The structure shown below is a simplified tower crane. It carries a shipping crate suspended from B B that has a weight
Posted: Sun May 15, 2022 11:42 pm
The structure shown below is a simplified tower crane. It
carries a shipping crate suspended from B B that has a weight of
130 kN k N . The main jib DCB D C B (in green) has a weight of 30
kN k N concentrated in the center of the beam. This is pinned to
the main body at D D and is supported by a cable that is routed
through pulleys at F F and G G and is attached to a concrete
counterweight J J . The main body AEFG A E F G (in yellow) is fixed
to the ground at A A .
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.
F h3 G or E h2 D С B J 22 13 h1
ht А Various geometry: hj = 27 m h2 = 4.4 m h3 = 4.8 m 11 = 11.5 m 12 = 15.7 m 13 = 5 m 0 = 63.5 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.
carries a shipping crate suspended from B B that has a weight of
130 kN k N . The main jib DCB D C B (in green) has a weight of 30
kN k N concentrated in the center of the beam. This is pinned to
the main body at D D and is supported by a cable that is routed
through pulleys at F F and G G and is attached to a concrete
counterweight J J . The main body AEFG A E F G (in yellow) is fixed
to the ground at A A .
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.
F h3 G or E h2 D С B J 22 13 h1
ht А Various geometry: hj = 27 m h2 = 4.4 m h3 = 4.8 m 11 = 11.5 m 12 = 15.7 m 13 = 5 m 0 = 63.5 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.