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SHEAR FORCE & BENDING MOMENT MR. VISHAL VASISTHA ASSISTANT PROFESSOR (ME) DRONACHARYA COLLEGE, GURGAON.

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Presentation on theme: "SHEAR FORCE & BENDING MOMENT MR. VISHAL VASISTHA ASSISTANT PROFESSOR (ME) DRONACHARYA COLLEGE, GURGAON."— Presentation transcript:

1 SHEAR FORCE & BENDING MOMENT MR. VISHAL VASISTHA ASSISTANT PROFESSOR (ME) DRONACHARYA COLLEGE, GURGAON

2 SHEAR FORCE & BENDING MOMENT  INTRODUCTION  TYPES OF BEAM AND LOAD  SHEAR FORCE AND BENDING MOMENT

3 INTRODUCTION  Devoted to the analysis and the design of beams  Beams – usually long, straight members  In most cases – load are perpendicular to the axis of the beam  Transverse loading causes only bending (M) and shear (V) in beam

4 TYPES OF LOAD AND BEAM  The transverse loading of beam may consist of Concentrated loads, P1, P2, unit (N) Concentrated loads, P1, P2, unit (N) Distributed loads, w, unit (N/m) Distributed loads, w, unit (N/m)

5 TYPES OF LOAD AND BEAM (MAY-2003)  Beams are classified to the way they are supported  Several types of beams are shown below  L shown in various parts in figure is called ‘span’

6 DETERMINATIONS OF SF & & BM  The Shear & bending moment diagram will be obtained by determining the values of V and M at selected points of the beam

7 DETERMINATIONS OF SF & & BM  The Shear V & bending moment M at a given point of a beam are said to be positive when the internal forces and couples acting on each portion of the beam are directed as shown in figure below  The shear at any given point of a beam is positive when the external forces (loads and reactions) acting on the beam tend to shear off the beam at that point as indicated in figure below

8 DETERMINATIONS OF SF & & BM  The bending moment at any given point of a beam is positive when the external forces (loads and reactions) acting on the beam tend to bend the beam at that point as indicated in figure below

9 POINTS TO BE REMEMBERED WHILE CONSTRUCTING SF & BM DIAGRAM  (+) ve values of SF & BM above BASE line and (-) ve values below  At vertical load, SF diagram ↑ or ↓ suddenly  SF diagram is ↔ b/w two vertical loads or no load section while BM diagram is inclined  In case of UDL, SF diagram is inclined and BM curve  BM at free end of cantilever & supports of SSB is zero  BM diagram is always inclined or curve  For a cantilever beam, always start calculation from free end

10 SF & BM DIAGRAM FOR CANTILEVER BEAM  A cantilever 1.5 m long is loaded with a UDL of 2 KN/m run over a length of 1.25 m from the free end. It also carries a point load of 3kN at a distance of 0.25 m from the free end. Draw the S.F. and B.M. diagrams of the cantilever.


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