Ceiling-mounted bicycle lift structural analysis

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Part # 001: Ceiling Bracket

Pictures Calculations
Material: Carbon steel

E = 202,700 N/mm2
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 mm4
Maximum bending moment: 5,560 N*mm2

Maximum x-bending stress: 9.47 N/mm2 = 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 mm4
Maximum bending moment: 1,946 N*mm2

Maximum z-bending stress: 3.4 N/mm2 = 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

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