Ceiling-mounted bicycle lift structural analysis

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Part # 001: Ceiling Bracket<br />
Part # 001: Ceiling Bracket<br />
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[[Image:Team1-Bracket.jpg|300px]] [[Image:Team1-FBD-Bracket.JPG|300px]]
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[[Image:Team1-Bracket.jpg|300px]] [[Image:Team1-FBD-Bracket.JPG|300px]]<br />
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Material: Carbon steel
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'''Material''': Carbon steel<br />
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  E = 202,700 N/mm^2
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E = 202,700 N/mm<sup>2</sup><br />
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  Yield strength = 350 Mpa
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Yield strength = 350 Mpa<br />
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<br />
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Loads:
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'''Loads'''<br />
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  P/2 = 111.2 N
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P/2 = 111.2 N<br />
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  P/4 = 55.6 N
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P/4 = 55.6 N<br />
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<br />
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Bending along X-axis
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'''Bending along X-axis'''<br />
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  Distance between support forces: 200 mm
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Distance between support forces: 200 mm<br />
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  Vertical centroid: -7.57 mm (measure from top surface)
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Vertical centroid: -7.57 mm (measure from top surface)<br />
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  Second moment of area about centroidal axis: 3510 mm^4
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Second moment of area about centroidal axis: 3510 mm<sup>4</sup><br />
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  Maximum bending moment:  5,560 N*mm^2
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Maximum bending moment:  5,560 N*mm<sup>2</sup><br />
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<br />
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  Maximum x-bending stress: 9.47 N/mm^2 = 9.47 Mpa
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Maximum x-bending stress: 9.47 N/mm<sup>2</sup> = 9.47 Mpa<br />
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<br />
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Bending along Z-axis
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Bending along Z-axis<br />
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  Distance between support forces: 70 mm
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Distance between support forces: 70 mm<br />
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  Vertical centroid: -.066 mm (measure from top surface)
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Vertical centroid: -.066 mm (measure from top surface)<br />
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  Second moment of area about centroidal axis: 37.8 mm^4
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Second moment of area about centroidal axis: 37.8 mm<sup>4</sup><br />
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  Maximum bending moment:  1,946 N*mm^2
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Maximum bending moment:  1,946 N*mm<sup>2</sup><br />
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<br />
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Maximum z-bending stress: 3.4 N/mm^2 = 3.4 Mpa
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Maximum z-bending stress: 3.4 N/mm<sup>2</sup> = 3.4 Mpa<br />
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<br />
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Maximum net bending stress: 10.1 Mpa
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Maximum net bending stress: 10.1 Mpa<br />
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<br />
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Stress Concentration Factor:
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'''Stress Concentration Factor'''<br />
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  h = 1.22 mm (sheet thickness)
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h = 1.22 mm (sheet thickness)<br />
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  w = 50 mm (section width)
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w = 50 mm (section width)<br />
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  d = 6 mm (hole size)
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d = 6 mm (hole size)<br />
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<br />
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  d/w = .12    d/h = 5
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d/w = .12    d/h = 5<br />
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  K = 1.7  -  From table A-15-12 of (Shigley, Mechanical Engineering Design)
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K = 1.7  -  From table A-15-12 of (Shigley, Mechanical Engineering Design)<br />
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<br />
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Actual Maximum Stress = 17.1 Mpa
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<big>Actual Maximum Stress = 17.1 Mpa<br /></big>
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<br />

Revision as of 22:59, 7 March 2007

Part # 001: Ceiling Bracket

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

Retrieved from "http://wiki.ece.cmu.edu/ddl/index.php/Ceiling-mounted_bicycle_lift_structural_analysis"
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