Ceiling-mounted bicycle lift structural analysis

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==Part # 001: Ceiling Bracket==
==Part # 001: Ceiling Bracket==
{| class="wikitable" border="0"  
{| class="wikitable" border="0"  
-
|-  
+
|- align="left"
-
! Pictures !! Calculations !!  
+
! Images !! Calculations !!  
|-  align="left"
|-  align="left"
| [[Image:Team1-Bracket.jpg|300px]] || '''Material''': Carbon steel<br />
| [[Image:Team1-Bracket.jpg|300px]] || '''Material''': Carbon steel<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 />
|-  align="left"
|-  align="left"
-
| [[Image:Team1-Stress-Bracket.JPG|300px]] || 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 z-bending stress: 3.4 N/mm<sup>2</sup> = 3.4 Mpa<br />
Maximum z-bending stress: 3.4 N/mm<sup>2</sup> = 3.4 Mpa<br />
<br />
<br />
-
Maximum net bending stress: 10.1 Mpa<br />
+
'''Maximum net bending stress: 10.1 Mpa'''<br />
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|}
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'''Stress Concentration Factor'''<br />
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h = 1.22 mm (sheet thickness)<br />
 +
w = 50 mm (section width)<br />
 +
d = 6 mm (hole size)<br />
 +
<br />
 +
d/w = .12    d/h = 5<br />
 +
K = 1.7  -  From table A-15-12 of (Shigley, Mechanical Engineering Design)<br />
 +
<br />
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'''<big>Actual Maximum Stress = 17.1 Mpa<br /></big>'''<br />
 +
<br />
 +
 
 +
==Part # 002: U-Pulley Mount==
 +
{| class="wikitable" border="0"
 +
|- align="left"
 +
! Images !! Calculations !!
 +
|-  align="left"
 +
| [[Image:Team1-UPulley.jpg|300px]] || '''Material''': Carbon steel<br />
 +
E = 202,700 N/mm<sup>2</sup><br />
 +
Yield strength = 350 Mpa<br />
 +
<br />
 +
'''Loads'''<br />
 +
P/2 = 111.2 N<br />
 +
P/4 = 55.6 N<br />
 +
|-  align="left"
 +
| [[Image:Team1-FBD-UPulley.JPG|300px]] || '''Bending along X-axis'''<br />
 +
Distance between support forces: 200 mm<br />
 +
Vertical centroid: -7.57 mm (measure from top surface)<br />
 +
Second moment of area about centroidal axis: 3510 mm<sup>4</sup><br />
 +
Maximum bending moment:  5,560 N*mm<sup>2</sup><br />
 +
<br />
 +
Maximum x-bending stress: 9.47 N/mm<sup>2</sup> = 9.47 Mpa<br />
 +
|-  align="left"
 +
| [[Image:Team1-Stress-UPulley.JPG|300px]] || '''Bending along Z-axis'''<br />
 +
Distance between support forces: 70 mm<br />
 +
Vertical centroid: -.066 mm (measure from top surface)<br />
 +
Second moment of area about centroidal axis: 37.8 mm<sup>4</sup><br />
 +
Maximum bending moment:  1,946 N*mm<sup>2</sup><br />
 +
<br />
 +
Maximum z-bending stress: 3.4 N/mm<sup>2</sup> = 3.4 Mpa<br />
 +
<br />
 +
'''Maximum net bending stress: 10.1 Mpa'''<br />
|}
|}
'''Stress Concentration Factor'''<br />
'''Stress Concentration Factor'''<br />

Revision as of 00:33, 8 March 2007

Part # 001: Ceiling Bracket

Images 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


Part # 002: U-Pulley Mount

Images 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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