Ceiling-mounted bicycle lift structural analysis
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Part # 001: Ceiling Bracket
Image:Team1-FBD-Bracket.jpg
Material: Carbon steel
E = 202,700 N/mm^2 Yield strength = 350 Mpa
Loads:
P/2 = 111.2 N P/4 = 55.6 N
Bending along X-axis
Distance between support forces: 200 mm Vertical centroid: -7.57 mm (measure from top surface) Second moment of area about centroidal axis: 3510 mm^4 Maximum bending moment: 5,560 N*mm^2
Maximum x-bending stress: 9.47 N/mm^2 = 9.47 Mpa
Bending along Z-axis
Distance between support forces: 70 mm Vertical centroid: -.066 mm (measure from top surface) Second moment of area about centroidal axis: 37.8 mm^4 Maximum bending moment: 1,946 N*mm^2
Maximum z-bending stress: 3.4 N/mm^2 = 3.4 Mpa
Maximum net bending stress: 10.1 Mpa
Stress Concentration Factor:
h = 1.22 mm (sheet thickness) w = 50 mm (section width) d = 6 mm (hole size)
d/w = .12 d/h = 5 K = 1.7 - From table A-15-12 of (Shigley, Mechanical Engineering Design)
Actual Maximum Stress = 17.1 Mpa