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ME16A: CHAPTER THREE BENDING MOMENTS AND SHEARING FORCES IN BEAMS
3.1  BEAM ,[object Object]
3.1.1          TYPES OF BEAMS  ,[object Object],[object Object],[object Object]
Types of Beams
TYPES OF BEAMS ,[object Object],[object Object],[object Object]
3.1    TYPES OF LOADS : ,[object Object],[object Object],[object Object]
TYPES OF LOADS CONTD. ,[object Object],[object Object],[object Object]
3.1    SHEAR FORCES AND BENDING MOMENTS ,[object Object],[object Object]
SHEAR FORCES AND BENDING MOMENTS CONTD. ,[object Object],[object Object],[object Object]
SHEAR FORCES AND BENDING MOMENTS CONTD. ,[object Object],[object Object],[object Object]
Shear Force V and Bending Moment, M in a Beam
Shear Force and Bending Moment ,[object Object],[object Object]
Sign Convention
SIGN CONVENTION CONTD. ,[object Object],[object Object]
3.1    RELATIONSHIPS BETWEEN LOADS, SHEAR FORCES, AND BENDING MOMENTS ,[object Object]
RELATIONSHIPS CONTD. ,[object Object],[object Object],[object Object]
ELEMENTS OF A BEAM
RELATIONSHIPS CONTD. ,[object Object]
RELATIONSHIPS CONTD. ,[object Object],[object Object],[object Object]
(a)  Distributed Loads
(a)  Distributed Loads Contd.
Distributed Loads Contd.
Distributed Loads Contd. ,[object Object],[object Object]
(b) Concentrated Loads (Figure 3.4 b)
Example ,[object Object]
Solution
3.5    SHEAR FORCE AND BENDING MOMENT DIAGRAMS ,[object Object]
Example ,[object Object],5 kN 2.5 kN 2.5 kN 2 m 2 m x x x x
Solution
Solution Contd.
Shear Force and Bending Moment Diagrams
Simpler Method
Example  ,[object Object]
Solution ,[object Object],[object Object],[object Object],[object Object]
Solution Contd.
Diagrams
Example
Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Solution Contd.
Shear Force & Bending Moment Diagrams
3.1    BENDING STRESSES IN BEAMS  (FOR PURE BENDING) ,[object Object],[object Object],[object Object]
Assumptions in Simple Bending Theory ,[object Object],[object Object],[object Object],[object Object],[object Object]
Assumptions in Simple Bending Theory Contd. ,[object Object],[object Object]
Assumptions in Simple Bending Contd. ,[object Object],[object Object]
Theory of Simple Bending ,[object Object],[object Object],[object Object],[object Object],[object Object]
Theory of Bending
Theory of Simple Bending ,[object Object]
Theory of Simple Bending
Theory of Simple Bending Contd.
Theory of Simple Bending Contd.
Simple Bending:  Calculation of Stress
Simple Bending: Compression and Tension Zones
Non-Uniform Bending ,[object Object],[object Object]
Non-Uniform Bending Contd. ,[object Object],[object Object]
Example
Solution
Solution Concluded
Example
Solution
Solution Contd.
Solution Concluded
4.8.    BENDING OF BEAMS OF TWO MATERIALS   ,[object Object]
Bending of Beams of Two Materials
Beams of Two Materials Contd.
Beams of Two Materials Concluded
Example
Solution
Solution Concluded

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Shear and Bending Moment in Beams