A steel rotor disc of uniform thickness 50 mm has an outer rim of diameter 800 mm and a central hole of diameter 150 mm. There are 200 blades each of weight 2 N at an effective radius of 420 mm pitched evenly around the periphery. Determine the rotational speed at which yielding first occurs according to the maximum shear stress criterion. Yield stress in simple tension is equal to 750 MN/m2.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
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A steel rotor disc of uniform thickness 50 mm has an outer rim of diameter 800 mm and a central hole of diameter 150 mm. There are 200 blades each of weight 2 N at an effective radius of 420 mm pitched evenly around the periphery. Determine the rotational speed at which yielding first occurs according to the maximum shear stress criterion. Yield stress in simple tension is equal to 750 MN/m2.

2. A steel rotor disc of uniform thickness 50 mm has an outer rim of diameter 800 mm and a
central hole of diameter 150 mm. There are 200 blades each of weight 2 N at an effective
radius of 420 mm pitched evenly around the periphery. Determine the rotational speed at
which yielding first occurs according to the maximum shear stress criterion. Yield stress
in simple tension is equal to 750 MN/m².
Transcribed Image Text:2. A steel rotor disc of uniform thickness 50 mm has an outer rim of diameter 800 mm and a central hole of diameter 150 mm. There are 200 blades each of weight 2 N at an effective radius of 420 mm pitched evenly around the periphery. Determine the rotational speed at which yielding first occurs according to the maximum shear stress criterion. Yield stress in simple tension is equal to 750 MN/m².
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