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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 97 kN 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 main body AEFG (in yellow) is fixed to the ground at A. F h3 G or E h2 D С B l1 I 13 hi
А Various geometry: h = 26.9 m h2 = 4.1 m hg = 5.6 in 11 = 11.3 m 12 =15.1 m 1% = 4.8 m @=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 in order for the main jib DCB to be horizontal. ii. Determine the magnitude of the 3 and 4 components of force at pin D.
Part A - Part A Determine the weight of counterweight J in order for the main jib DCB to be horizontal. Enter your answer in units of kN to three significant figures. EVO AED If vec ? W = 51 kN Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Part B - Part B Determine the magnitude of the x-component of force at pin D. Enter the magnitude of the value in units of kN to three significant figures. ΟΙ ΑΣΦ 11 vec DE = Submit Request Answer
Part C - Part C Determine the magnitude of the y-component of force at pin D. Enter the magnitude of the value in units of N to three significant figures. V ΟΙ ΑΣΦΙ! IT vec ? Dy KN Submit Request Answer
Part F-Part F Determine the y-component of the reaction force at fixed support A, otherwise known as Ay. Enter the value in units of kN to three significant figures. Use positive values to represent forces pointing to up and negative values to represent forces pointing down. EVO AED Jt vec ? Ay = kN Submit Request Answer y Part G - Part G Determine the reaction moment at fixed support A, otherwise known as MA. Enter the value in units of kNm to three significant figures. Use positive values to represent counterclockwise moments and negative values to represent clockwise moments. IVO AEC 11 vec ? MA= kNm Submit Request Answer