325-midterm-solutions-part 1b annotated (2008w)

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Oct 30, 2023

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MECH 325 2008W Midterm Exam Solutions Part 1B
MECH 325 2 21. Diametral Pitch The larger helical gear shown has a normal pressure angle of 20°, a helix angle ψ of 25°, a normal pitch of 0.1780”, and a pitch diameter of 3”. What is the transverse diametral pitch? (2 marks) Transverse diametral pitch ______
MECH 325 3 22. Beam Diagram Based on the shaft loading shown in the top diagram, complete the diagrams for axial force, shear force, bending moment and torsion. (You do not need to indicate values in your diagrams.) (2 marks) V T M y x x x x F x
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MECH 325 4 23. Basic Dynamic Load Rating In rolling element bearings, what does the basic dynamic load rating , C 10 , signify? (2 marks)
MECH 325 5 24. Power Screw Self-Locking The raising and lowering torques for a power screw are given by and respectively. In terms of the other variables, what is the range of values of the coefficient of friction, f , for which the power screw will be self locking ? (2 marks) 2 m m R m Fd fd l T d fl π π Λ Ξ + = Μ Ο Ν Π 2 m m L m Fd fd l T d fl π π Λ Ξ = Μ Ο + Ν Π
MECH 325 6 25. Belt Tension The tension profile for a belt is shown below. In the space provided, give the names of the tensions identified by A through F in the figure. (2 marks)
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MECH 325 7 26. V-Belt Friction Coefficient Describe why the effective friction coefficient for a V-Belt is three or more times greater than the friction coefficient of a flat belt made of the same material? (2 marks)
MECH 325 8 27. Initial Belt Tension How does the initial tension of a belt affect the torque that can be transmitted? (2 marks)
MECH 325 9 28. Stress Concentrations What would be the consequence of using a theoretical stress concentration factor , K t instead of a fatigue stress concentration factor , K f , for a shaft design subject to alternating loads? (2 marks)
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MECH 325 10 29. Bearing Reliability Sketch the relationship describing rolling element bearing load as a function of life. (Recall, this is normally done as a log-log plot.) Your sketch need not be to scale or use actual values, but do identify the following on your sketch: catalogue rating life catalogue load rating 0.90 reliability line 0.80 reliability line log L log F
MECH 325 11 30. Gear Power/Speed/Torque A 750 Watt motor runs in the direction shown. The reaction force magnitudes on the larger helical gear are as given below. What speed will the motor run at (in rev/min) if the transverse gear module, m t , is 2 mm (i.e. P t = 0.5 teeth/mm): Total: W = 220 N Transmitted: W t = 180 N Axial: W a = 100 N Radial: W r = 75 N

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