UNIVERSITY of PLYMOUTH

 

MECH115: Engineering Science 1

 

Tutorial examples: - Combined Stresses                           

 

 

 

  1. In a particular combined stress situation the stresses acting on a material element are:-

                                          sx  =  70 MN/m²
                                          sy =  -50 MN/m² 
                                             =  40 MN/m² .

    Determine the principal stresses and the angle at which they act.

    [82.1 MN/m² ; - 62.1 MN/m² 16.9º from x and y]

 

 

  1. In another particular combined stress situation the stresses acting on a material element are:-

                                          sx  =  70 MN/m²
                                          sy =  240 MN/m² 
                                             =  56 MN/m² .

    Determine the principal stresses and the angle at which they act.

    [256.8 MN/m² ; 53.2 MN/m² 16.7º from x and y]

 

 

  1. A thin cylinder 75 mm ID and 5 mm thick is subjected to an internal pressure of 5.5 MPa and an axial torque of 1.6 kNm.  Determine the principal stresses and maximum shear stress.

    [64.3 MN/m²; -2.5 MN/m²; ± 34.4 MN/m² ]

 

 

  1. A hollow drive shaft 200 mm OD and 125 mm ID is subject to a bending moment of 43 kNm and a torque of 65 kNm.  Find the principal stresses and maximum shear stress in the shaft.
    [stress calculations] [90.9 MN/m² ; -26.2 MN/m² ; 58.5 MN/m² from Mohr's circle]

 

 

 

 

 

 

 

 

 

115tut_combined_stresses