Explain the condition, How the member goes under direct as well as bending stress.

  When the member is subjected to an eccentric load, it goes under direct as well as bending stress.

Explanation -

  We consider a member which is subjected to an eccentric load, P with eccentricity 'e'.



Now, we introduce two load, along its axis, which are equal to P and parallel and opposite to each other.



In the above figure, the additional two forces will not make any change in load pattern because they are equal, unlike, collinear and their resultant is zero.

Now, we break out the above diagram into two parts -



  • The downward force P acting at the centroid of section will produce direct stress. (see the left figure)
  • And the remaining two forces (P || P) will form a couple and moment of this couple will produce the bending stress.
Thus, in the case of eccentric loading, the member will sustain both stresses the direct and the bending.

Thank you. 

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