Ceiling-mounted bicycle lift structural analysis
From DDL Wiki
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<big>'''Safety Factor = 32.3<br />'''</big> | <big>'''Safety Factor = 32.3<br />'''</big> | ||
|} | |} | ||
+ | |||
+ | ==Part # 001: V-Bracket== | ||
+ | {| class="wikitable" border="0" | ||
+ | |- align="left" | ||
+ | ! ''Images'' !! ''Calculations'' !! | ||
+ | |- align="left" | ||
+ | | [[Image:Team1-VBracket.jpg|300px]] || '''Material''': Carbon steel<br /> | ||
+ | E = 202,700 N/mm<sup>2</sup><br /> | ||
+ | Yield strength = 220 Mpa<br /> | ||
+ | <br /> | ||
+ | '''Loads'''<br /> | ||
+ | P/2 = 111.2 N<br /> | ||
+ | P/4 = 55.6 N<br /> | ||
+ | Mz = 1780 N*mm | ||
+ | <br /> | ||
+ | (P = 50 lbs)<br /> | ||
+ | |- align="left" | ||
+ | | [[Image:Team1-FBD-VBracket.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-VBracket.JPG|300px]] || '''Bending along Z-axis'''<br /> | ||
+ | Distance between support forces: 70 mm<br /> | ||
+ | Vertical centroid: -.66 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 /> | ||
+ | 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 /> | ||
+ | '''<big>Actual Maximum Stress = 17.1 Mpa<br /></big>''' | ||
+ | '''<big>Safety Factor = 12.9 Mpa<br /></big>''' | ||
+ | <br /> |
Revision as of 02:32, 8 March 2007
Contents |
Part # 001: Ceiling Bracket
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
Safety Factor = 12.9 Mpa
Part # 002: U-Pulley Mount
Part # 003: Pulley Wheel
Part # 004: Pulley Rivet
Part # 001: V-Bracket
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
Safety Factor = 12.9 Mpa