The figure shows an industrial mixing machine, where the mixing blades are driven by a vertical shaft, which in turn is driven by a chain driven sprocket wheel. The sprocket mechanism delivers a power of P kW at 250 RPM through a 250 mm mean diameter sprocket wheel, assuming no tension (Tension = 0) in the non- driving portion of the chain. Assume the drive shaft is machined, and 99% reliability is required. a) Choose an appropriate material for the shaft and list its appropriate material properties. b) Draw a FBD for the shaft and determine the critical location. c) Derive an expression for the bending moment and torque in terms of unknown geometry values at the critical location with appropriate stress concentration factors. d) Apply appropriate fatigue and/or static failure theories and determine the unknown diameters of the shaft assuming a factor of safety, n = 1.75. e) Choose a standard diameter for the shaft and calculate its realized fatigue/yield factors of safety. P kW = 3 kW. D dia. P Mixing blades: Mixing bowl dia. r 50mm rad. Chain Chain sprocket 250mm mean diameter.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The figure shows an industrial mixing machine, where the mixing blades are driven
by a vertical shaft, which in turn is driven by a chain driven sprocket wheel. The
sprocket mechanism delivers a power of P kW at 250 RPM through a 250 mm
mean diameter sprocket wheel, assuming no tension (Tension = 0) in the non-
driving portion of the chain. Assume the drive shaft is machined, and 99%
reliability is required.
a) Choose an appropriate material for the shaft and list its appropriate material
properties.
b) Draw a FBD for the shaft and determine the critical location.
c) Derive an expression for the bending moment and torque in terms of
unknown geometry values at the critical location with appropriate stress
concentration factors.
d) Apply appropriate fatigue and/or static failure theories and determine the
unknown diameters of the shaft assuming a factor of safety, n = 1.75.
e) Choose a standard diameter for the shaft and calculate its realized
fatigue/yield factors of safety.
P kW = 3 kW.
D dia.
P
Mixing
blades:
Mixing bowl
dia.
r
50mm
rad.
Chain
Chain sprocket
250mm mean diameter.
Transcribed Image Text:The figure shows an industrial mixing machine, where the mixing blades are driven by a vertical shaft, which in turn is driven by a chain driven sprocket wheel. The sprocket mechanism delivers a power of P kW at 250 RPM through a 250 mm mean diameter sprocket wheel, assuming no tension (Tension = 0) in the non- driving portion of the chain. Assume the drive shaft is machined, and 99% reliability is required. a) Choose an appropriate material for the shaft and list its appropriate material properties. b) Draw a FBD for the shaft and determine the critical location. c) Derive an expression for the bending moment and torque in terms of unknown geometry values at the critical location with appropriate stress concentration factors. d) Apply appropriate fatigue and/or static failure theories and determine the unknown diameters of the shaft assuming a factor of safety, n = 1.75. e) Choose a standard diameter for the shaft and calculate its realized fatigue/yield factors of safety. P kW = 3 kW. D dia. P Mixing blades: Mixing bowl dia. r 50mm rad. Chain Chain sprocket 250mm mean diameter.
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