
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 xx
(by considering the forces on the left hand side) can be written as
F_{x} = R_{A}
– F_{1} – F_{2}
Alternatively by considering the forces
on the right hands side the shear force at section xx can be
written as
F_{x} = F_{3}
+ F_{4}  R_{B}
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 51
Example 52
Example 53
Example 54
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
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