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MECHANICS - CASE STUDY

    Introduction


Support Bracket for Hanging Load

 

A new steel bracket was designed to support various loads being hung from the end. The designer would like to know what is the largest load that can be hung on the bracket.

What is known:

  • Allowable yield stress for the steel is 36 ksi.
  • The bracket safety of factor must be at least 2.
  • Each arm of the bracket is 6 in long.
     
    Question

   

What is the maximum load that can be placed on the bracket using the maximum distortion energy theory?

     
    Approach

   
  • Calculate the maximum torsion in the circular bar.
  • Calculate the maximum bending stress in the circular bar.
  • Determine the stress state at the wall (location of the maximum bending stress and torsional stress)
  • Find the principal stresses.
  • Apply the maximum distortion energy theory

         
     
   
 
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