Circular shaft Applied mechanics

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SUMMARY

The discussion focuses on calculating the suitable diameter of a circular shaft in a pulley system to prevent failure due to maximum shear stress. Each pulley exerts a tangential force of 500N, and the tensile yield strength of the shaft material is specified as 248MN/m². Using the maximum shear stress criterion, participants detail the steps to derive the necessary shaft diameter, ensuring structural integrity under the applied loads.

PREREQUISITES
  • Understanding of shear stress and tensile yield strength
  • Knowledge of basic mechanics of materials
  • Familiarity with pulley systems and load calculations
  • Ability to perform calculations involving circular shaft dimensions
NEXT STEPS
  • Research the maximum shear stress criterion in mechanical design
  • Learn about the mechanics of materials, focusing on shear and tensile strength
  • Explore the design principles for pulley systems and their load distributions
  • Study the calculations for determining shaft diameters in various loading conditions
USEFUL FOR

Mechanical engineers, structural designers, and students studying applied mechanics who are involved in the design and analysis of shaft systems in machinery.

Adam Harris
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In the pulley system shown in Figure Q1 the tangential forces on the pulleys are shown. Each pulley adds an additional load / weight of 500N on the shaft. Calculate a suitable shaft diameter so that to avoid failure by the maximum shear stress criterion. The tensile yield strength of the shaft material is 248MN/m2 . The shaft weight may be neglected and the shaft bearings may be treated as simple supports.
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