Page 24 - Mechanical Engineer's Data Handbook
P. 24

STRENGTHS OF  MATERIALS                                                            13

         Butt  weld

         The strength of the weld is assumed equal to that of the
         plates themselves.






         Fillet  weld

         Parallel loading:                           Maximum shear stress due to moment 7bs M/Z
                                                     (an assumption)
         Shear stress 7 = F/tL                       where: M= bending moment.
         Weld throat t =0.7w
         where w = weld leg size.                    Direct shear stress T~ = F/A
                                                     where: A = total area of weld at throat, F =load.
                                                     Resultant stress 7r = J‘m

                                                     from which  t  is found.


                                                     Welded bracket  subject  to torsion

                                                     Maximum shear stress due to torque (T) z,=  Tr/J (T=Fa)
                                                     Polar second moment of area J = I, + I,
                                                     where: r = distance from centroid of weld group to any
                                                     point on weld.
                                                     Direct shear stress sd = F/A
                                                                    is
                                                                                           r
                                                     Resultant stress (T~) the vector sum of T~ and T~; is
         Transverse loading:                         chosen to give highest value of T~. From T, the value oft
         Shear stress 7 = F/tL                       is found, and hence w.
         Throat t = 0.77~



                     I

          ,n\\\’m


                    1




         Symbols used :
         I=second  moment of  area of weld group (treated as
         lines)  = constant x t
         Z = l/ymax = bending modulus
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