SHEAR STRESS

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SHEAR STRESS IN BEAMS

SHEAR FORCE : 

            GENERALLY  IT IS THE FORCE APPLIED ON A BODY  TANGENTIAL TO THE SURFACE OF THE BODY.
            THE SHEAR FORCE HAS TWO FORCE COMPONENTS EQUAL IN MAGNITUDE ,OPPOSITE IN DIRECTION AND ARE IN DIFFERENT LINE OF ACTION.
            SHEAR FORCE TENDS TO ROTATE THE BODY AS IT HAS TWO COMPONENTS IN OPPOSITE DIRECTIONS.IF THE BODY IS IN EQUILIBRIUM THEN  IT IS SUBJECTED TO A COMPLIMENTARY FORCE COUPLE OPPOSITE IN DIRECTION TO THE MAIN SHEAR FORCE COUPLE.

SHEAR STRESS  : 

               IT IS THE STRESS PRODUCED IN A BEAM DUE TO THE SHEAR FORCE APPLIED ON THE BEAM EXTERNALLY, i.e,. THE TRANSVERSE FORCES(LOADS).

ASSUMPTIONS MADE IN DERIVING THE SHEAR STRESS EQUATION :
  1. TRANSVERSE SECTIONS REMAIN PLANE UNDER THE ACTION OF BENDING MOMENT AND SHEAR FORCE.
  2. THE SHEARING STRESS IS UNIFORMLY DISTRIBUTED OVER THE WIDTH OF THE STRIP UNDER CONSIDERATION.
  3. THE STRIP OF WIDTH CONSIDERED,REMAIN FLAT AND ANTI-ELASTIC CURVATURE IS NEGLECTED.
  4. THE MATERIAL IS HOMOGENEOUS AND ISOTROPIC AND HAS SAME VALUE OF 'E' FOR TENSION AND COMPRESSION.
SHEAR STRESS DISTRIBUTION AND FORMULAE : 

FOR RECTANGULAR SECTION :


FOR CIRCULAR SECTION :


FOR TRIANGULAR SECTION :


FOR I SECTION :
IN THE FLANGE                                    =>  
AT THE JUNCTION IN THE FLANGE =>  
AT THE JUNCTION IN THE WEB        => 
IN THE WEB                                           => 



FOR OTHER SECTIONS :


  



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