A high speed turbine rotates at 220HZ and drives, by means of helical gears, a 250kW generator at 50HZ (Fig Q2). The main shaft (AB) and the driveshaft (CD) are made of steel having a Young's Modulus of 208GPA, an allowable yield strength of 120MPA and Poisson ratio of 0.3. The driveshaft distance L = 0.8m. [Assumptions: No friction losses, no bending in shafts and no shock loading occurs] Tubiae Main shaft Gor boa Generakor Driveshaft Coupling Fig Q2 Determine, assuming a safety factor of 1.2: (a) the minimum diameters of the main and drive shafts respectively, ensuring that the angle of twist of the driveshaft cannot exceed 3 degrees: (b) the minimum number of M8 bolts required for the coupling on the driveshaft, if a clearance of 2x M8 bolt diameters is specified between the shaft and bolt hole edge. (c) what design improvement could be made to the coupling referred to in (b) to reduce the number of M8 bolts to 5.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A high speed turbine rotates at 220HZ and drives, by means of helical gears, a
250kW generator at 50HZ (Fig Q2). The main shaft (AB) and the driveshaft
(CD) are made of steel having a Young's Modulus of 208GPA, an allowable
yield strength of 120MPA and Poisson ratio of 0.3. The driveshaft distance L =
0.8m. [Assumptions: No friction losses, no bending in shafts and no shock
loading occurs]
Turbine
Main
shaft
Geor box
Generalor
Driveshal
Coupling
Fig Q2
Determine, assuming a safety factor of 1.2:
(a) the minimum diameters of the main and drive shafts respectively, ensuring
that the angle of twist of the driveshaft cannot exceed 3 degrees:
(b) the minimum number of M8 bolts required for the coupling on the
driveshaft, if a clearance of 2x M8 bolt diameters is specified between the
shaft and bolt hole edge.
(c) what design improvement could be made to the coupling referred to in (b)
to reduce the number of M8 bolts to 5.
Transcribed Image Text:A high speed turbine rotates at 220HZ and drives, by means of helical gears, a 250kW generator at 50HZ (Fig Q2). The main shaft (AB) and the driveshaft (CD) are made of steel having a Young's Modulus of 208GPA, an allowable yield strength of 120MPA and Poisson ratio of 0.3. The driveshaft distance L = 0.8m. [Assumptions: No friction losses, no bending in shafts and no shock loading occurs] Turbine Main shaft Geor box Generalor Driveshal Coupling Fig Q2 Determine, assuming a safety factor of 1.2: (a) the minimum diameters of the main and drive shafts respectively, ensuring that the angle of twist of the driveshaft cannot exceed 3 degrees: (b) the minimum number of M8 bolts required for the coupling on the driveshaft, if a clearance of 2x M8 bolt diameters is specified between the shaft and bolt hole edge. (c) what design improvement could be made to the coupling referred to in (b) to reduce the number of M8 bolts to 5.
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