Chapter 12 : Support Reactions „„„„„ 217

217

Support Reactions

12.1. INTRODUCTION

In our day-to-day work, we see that whenever

we apply a force on a body, it exerts a *reaction, e.g.,

when a ceiling fan is hung from a girder, it is sub-

jected to the following two forces:

1. Weight of the fan, acting downwards,
   and


2. Reaction on the girder, acting upwards.
   A little consideration will show, that as the fan is
   in equilibrium therefore, the above two forces must
   be equal and opposite. Similarly, if we consider the
   equilibrium of a girder supported on the walls, we

* It will also be discussed in the chapter on ‘Laws of

Motion’.

12

CHAPTERCHAPTERCHAPTERCHAPTERCHAPTER

Contents

1. Introduction.


2. Types of Loading.


3. Concentrated or Point Load.


4. Uniformly Distributed Load.


5. Uniformly Varying Load.


6. Methods for the Reactions of
   a Beam.


7. Analytical Method for the
   Reactions of a Beam.


8. Graphical Method for the
   Reactions of a Beam.


9. Construction of Space
   Diagram.


10. Construction of Vector
    Diagram.


11. Types of End Supports of
    Beams.


12. Simply Supported Beams.


13. Overhanging Beams.


14. Roller Supported Beams.


15. Hinged Beams.


16. Beams Subjected to a
    Moment.


17. Reactions of a Frame or a
    Truss.


18. Types of End Supports of
    Frames.


19. Frames with Simply Supported
    Ends.


20. Frames with One End Hinged
    (or Pin-jointed) and the Other
    Supported Freely on Roller.


21. Frames with One End Hinged
    (or Pin-jointed) and the Other
    Supported on Rollers and
    Carrying Horizontal Loads.


22. Frames with One End Hinged
    (or Pin-jointed) and the Other
    Supported on Rollers and
    carrying Inclined Loads.


23. Frames with Both Ends Fixed.