Shear Force and Bending Moment Diagrams.ppt

Strength of material

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Shear Force and Bending Moment
Diagrams

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Shear Force Diagram
•The algebraic sum of the vertical forces at any
section of a beam to the right or left of the
section is known as Shear Force.
•Shear Force Diagram is one which shows the
variation of the shear force along the length of
the beam.

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Bending Moment Diagram
•The algebraic sum of the moments of all the
forces acting to the right or left of the section
is known as bending moment.
•Bending Moment Diagram is one which shows
the variation of the bending moment along
the length of the beam.

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Beam
Beam: Beam is a structural member whose
cross-section dimensions are very small as
compared to length of the beam.

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Types of Beams:
•Simply Supported Beam: A beam supported or resting freely
on the supports at its both ends.
•Cantilever Beam: A Beam that is fixed or anchored at one end
and free at the other end.

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•Fixed Beam: A beam whose both ends are fixed is known as
fixed beam.
•Continuous Beam: A Beam that spans over more than two
supports.

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•Overhanging Beam: If the end portion of beam is
extended beyond the supports.

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Types of Load
•Concentrated or Point Load:
•Uniformly Distributed Load:
P
A
B

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Uniformly Varying Load

UNIFORMLY VARYING LOADUNIFORMLY VARYING LOAD

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Sign Conventions

Left Section Right Section
Shear Stress
Negative Stress
Positive Stress
Bending Moment
Positive Moment
Negative Moment

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Sagging Hogging
Happy Beam is +ve Beam Sad Beam is -ve

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Practical examples in engineering
about bending

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Examples of Devices under Bending
Loading:
Car Chassis
Yacht
Excavator
Atrium
Structure

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Simply Supported Beam Carrying Point Load

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Simply Supported Beam Carrying U.D.L.

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Simply Supported Beam Carrying Point Contact Simply Supported Beam Carrying Point Contact
and U.D.L.and U.D.L.

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Cantilever Beam Carrying Point Load

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Cantilever Beam Carrying U.D.L.

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Cantilever Beam Carrying Point and U.D.L.

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Simply Supported Beam Carrying Uniformly Varying Load

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Overhanging Beam Carrying Point Contact

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Overhanging Beam Carrying U.D.L.

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Overhanging Beam Carrying Point Contact and U.D.L.

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Simply Supported Beam Subjected to Couple

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Simply Supported Beam Subjected to Couple and U.D.L.

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