Ceiling-mounted bicycle lift structural analysis

E = 202,700 N/mm²
Yield strength = 220 Mpa
Sheet thickness = 1.22 mm

Loads
P/2 = 111.2 N
P/4 = 55.6 N

(P = 50 lbs)

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

Distance between support forces: 70 mm
Vertical centroid: -.66 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

E = 202,700 N/mm²
Yield strength = 220 Mpa
Sheet thickness = 2.29 mm

Loads
P/2 = 111.2 N
P/4 = 55.6 N

(P = 50 lbs)

Distance between support forces: 20 mm
Vertical centroid: -1.15 mm (measure from top surface)
Second moment of area about centroidal axis: 20.0 mm⁴
Maximum bending moment: 400 N*mm²

Maximum x-bending stress: 23.0 N/mm² = 23.0 Mpa

h = 2.29 mm (sheet thickness)
w = 48 mm (section width)
d = 6 mm (hole size)

d/w = .13 d/h = 2.6
K = 1.7 - From table A-15-12 of (Shigley, Mechanical Engineering Design)

Actual Maximum Stress = 39.1 Mpa
Safety Factor = 5.6 Mpa

E = 3,500 N/mm²
v = .4 Yield strength = 103 Mpa

Loads
P/2 = 111.2 N
Ft = force resulting from tension in rope
(P = 50 lbs)

Diameter 1: 5.3 mm
Diameter 2: 4.9 mm
Contact length = 13.5mm
Half-width of contact surface = 2 mm

Maximum Compressive Stress = 4.2 Mpa
Safety Factor = 24.5

E = 69,000 N/mm²
Yield strength = 95 Mpa

Loads
P/2 = 111.2 N
P/4 = 55.6 N

(P = 50 lbs)

Diameter: 4.9 mm
Length = 20 mm

Maximum shear force = 55.6 N
Shear area = 18.9 mm²

Maximum Compressive Stress = 2.9 Mpa
Safety Factor = 32.3

E = 202,700 N/mm²
Yield strength = 220 Mpa
Sheet thickness = 2.29 mm

Loads
P/2 = 111.2 N
Mz = 1780 N*mm
(P = 50 lbs)

Distance from support force: 10 mm
Cross sectional area: 36.6 mm² Second moment of area about centroidal axis: 16.0 mm⁴
Maximum bending moment: 556 N*mm²

Maximum bending stress: 15.2 N/mm² = 15.2 Mpa

r: 2 mm
d: 16 mm
D: 18 mm</sup>
D/d = 1.1 r/d = .13 K = 1.6 - From table A-15-5 of (Shigley, Mechanical Engineering Design)

Actual Maximum Stress = 24.3 Mpa
Safety Factor = 9.1 Mpa

E = 202,700 N/mm²
Yield strength = 220 Mpa
Sheet thickness = 4.17 mm

Loads
P/2 = 111.2 N
Mz = 1780 N*mm

(P = 50 lbs)

Cross sectional area: 42.9 mm² (for one hook)
Cross sectional area: 85.8 mm² (P/2 is for hook assembly - 2)
Second moment of area about centroidal axis: 124.5 mm⁴
Maximum bending moment: 1780 N*mm²

Maximum bending stress: 29.8 N/mm² = 29.8 Mpa

Safety Factor = 7.4 Mpa