The document explains shear force and bending moment concepts in structural analysis, defining shear force as the algebraic sum of forces and bending moment as the sum of moments at specific points on a beam. It describes types of loads and emphasizes the importance of shear force diagrams (SFD) and bending moment diagrams (BMD) in analyzing structural integrity and preventing failure. The document also provides steps for creating SFD and BMD, including techniques for calculating internal forces and plotting values based on the type of loads.

1. SFD & BMD
PART- I
By- Deepshikha Jain
STRENGTH OF
MATERIALS

2. WHAT IS SHEAR FORCE
AND BENDING MOMENT?
Shear Force-
It is defined as the algebraically of all forces at
either left side or right side of the beam.
Bending Moment-
It is defined as the algebraically sum of all
moments at either left side or right side of the
beam.

3. TYPES OF LOAD
Point load = At Single Point
Uniformly distributed load =
Uniform throughout the length
Uniformly varying load= Uniformly Increasing
or Decreasing throughout the length

4. SIGNIFICANCE
Shear force diagram and bending moment
diagrams are illustrations to describe the
alterations in shear force and bending
moments over the length of the beam.
These diagrams can be utilized to analyze the
failure of the structure with the given inputs
like loads, structure material, and shape.
Hence, SFD and BMD reduce the probability
of the structure's failure..

5. Steps for Shear Force Diagram:
Determine the internal forces (reactions) at the
supports and use sign conventions. Take the
upward force as positive and downward force as
negative.
Starting from left, plot the shear force values with
respect to the point of action on the beam.
The curvature for joining these points depends
upon the type of load.
The Shear Force Diagram should start and end at
x-axis (SF equals to zero) at the ends. Maximum
bending moment exists at the location where the
SFD crosses the axis.

6. Steps for Bending Moment
Diagram:
Initially convert the uniformly distributed loads (UDL)
and uniformly varying loads (UVL) acting on the
beam into point loads.
Starting from left, calculate the value of bending
moment for the loads acting on the beam.
Plot the values of bending moment on the
corresponding location on the beam.
Join these points using curvatures depending upon
the type of load.

7. STANDARDS

8. THANK YOU