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I don't know how to go about finding the equilibrium equations or how to solve task one and two. TASK 1: Model and analyze actual rigging system -...
I don't know how to go about finding the equilibrium equations or how to solve task one and two.
TASK 1: Model and analyze actual rigging system - load centered. The rigging system consists of two main components: a load basket of negligible weight and a three cable lifting rig. This system will be used to lift a 55-gallon industrial plastic drum of supplies having a total weight of 750 pounds. Figures 2 to 4 show representative photos of the system components and a drum. The load basket has a specified length of 40 inches, a width of 35 inches, and a height of 15 inches. As illustrated in Figure 2, one lifting eye is located along the width of one edge at the midpoint (i.e. 17.5 inches), and the other two lifting eyes are located along the length of the adjoining edges of the crate at a distance of 30 inches from the edge with the lifting eye at the midpoint. The basket weight is assumed to be negligible. Figure 2. Load basket. The 3-cable lifting rig has a single connecting link at one end, and three cables with lifting hooks attached to it, as shown in Figure 3. Each cable has a total length (eyelet to hook) of 10 ft, and an ultimate strength of 500 lbf. Figure 3. Three-cable lifting rig. As photographed in Figure 4, the 55-gallon industrial plastic drum is assumed to be a cylinder of uniform density, having a diameter of 23.3 inches, a height of 34.8 inches, and total weight with supplies of 750 lbf. Figure 4. 55-Gallon Industrial Plastic Drum (load)
Based on the information provided for the components of the actual system and the total weight of the 55-gallon drum, determine the realized Factor of Safety (FoS) assuming that the drum is upright with the axis at the center of the lifting basket. Your work for this task should include:
1. A free body diagram(s) of the system(s) analyzed.
2. A geometric diagram showing coordinate system and component dimensions.
3. Equations for equilibrium of the system analyzed.
4. Tension in each cable.
5. Realized Factor of Safety.
TASK 2: Model and analyze actual rigging system - load shifted. Repeat the analysis of Task 1 assuming that the drum is now shifted to one corner position of the load basket. Which factor of safety, Task 1 or Task 2, should be used for evaluating the risk of actual working conditions? Explain your reasoning for your selection.
