Ceiling-mounted bicycle lift structural analysis

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Part # 001: Ceiling Bracket<br />
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==Part # 001: Ceiling Bracket==
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[[Image:Team1-Bracket.jpg|300px]] [[Image:Team1-FBD-Bracket.JPG|300px]]<br />
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{| class="wikitable" border="0"
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|-
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'''Material''': Carbon steel<br />
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! Pictures !! Calculations !!
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|-  align="left"
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| [[Image:Team1-Bracket.jpg|300px]] || '''Material''': Carbon steel<br />
E = 202,700 N/mm<sup>2</sup><br />
E = 202,700 N/mm<sup>2</sup><br />
Yield strength = 350 Mpa<br />
Yield strength = 350 Mpa<br />
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P/2 = 111.2 N<br />
P/2 = 111.2 N<br />
P/4 = 55.6 N<br />
P/4 = 55.6 N<br />
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|-  align="left"
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'''Bending along X-axis'''<br />
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| [[Image:Team1-FBD-Bracket.JPG|300px]] || '''Bending along X-axis'''<br />
Distance between support forces: 200 mm<br />
Distance between support forces: 200 mm<br />
Vertical centroid: -7.57 mm (measure from top surface)<br />
Vertical centroid: -7.57 mm (measure from top surface)<br />
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Maximum x-bending stress: 9.47 N/mm<sup>2</sup> = 9.47 Mpa<br />
Maximum x-bending stress: 9.47 N/mm<sup>2</sup> = 9.47 Mpa<br />
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|-  align="left"
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Bending along Z-axis<br />
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| [[Image:Team1-Stress-Bracket.JPG|300px]] || Bending along Z-axis<br />
Distance between support forces: 70 mm<br />
Distance between support forces: 70 mm<br />
Vertical centroid: -.066 mm (measure from top surface)<br />
Vertical centroid: -.066 mm (measure from top surface)<br />
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Maximum net bending stress: 10.1 Mpa<br />
Maximum net bending stress: 10.1 Mpa<br />
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'''Stress Concentration Factor'''<br />
'''Stress Concentration Factor'''<br />
h = 1.22 mm (sheet thickness)<br />
h = 1.22 mm (sheet thickness)<br />
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K = 1.7  -  From table A-15-12 of (Shigley, Mechanical Engineering Design)<br />
K = 1.7  -  From table A-15-12 of (Shigley, Mechanical Engineering Design)<br />
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<big>Actual Maximum Stress = 17.1 Mpa<br /></big>
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'''<big>Actual Maximum Stress = 17.1 Mpa<br /></big>'''
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<br />
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Revision as of 00:25, 8 March 2007

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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