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                                                                         Shearing Force at a section of beam  

Shearing force and bending moment are very important factors to be considered while designing any structural component.

Shearing force at a section of beam is defined as the algebraic sum of all the forces acting on one side of the section. For example consider the following figure which shows the free body diagram of a simply supported beam.

Sign convention for shearing force

The force trying to push the left hand part of the beam upward will be taken as positive, whereas the force trying to push the right hand part of the beam downward will be taken as negative.

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Now the shearing force at section x-x (by considering the forces on the left hand side) can be written as

  Fx = RA F1 F2

Alternatively by considering the forces on the right hands side the shear force at section x-x can be written as

  Fx = F3 + F4 - RB

 The graphical representation of variation of shearing force along the span of the beam is known as shearing force diagram (SFD)

  • Shearing force diagram between two point loads is horizontal with a vertical rise or fall at the position of the loads

  • Shearing force variation in the region of a uniformly distributed load (UDL) is linear with a slope equal to the intensity of the UDL

  • Shearing force variation in the region of a uniformly varying load (UVL) is parabolic

See our solved examples on shear and moment diagrams

Example 5-1  Example 5-2  Example 5-3  Example 5-4

You can also use our Free online calculators given below

(i)  bending moment & shear force calculator for Cantilever

(ii) Bending moment & shear force calculator for Simple supported beam

(iii) Bending moment & shear force calculator for Overhanging beam

(iv) Bending moment & shear force calculator for Fixed beam

(v) Calculator for Continuous beam

 

For other problems please visit our Problem SolverNew

 

 
 

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Last updated on Saturday October 26, 2013