Sunday 7 January 2018
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| Mechanics of Material Chapter no 5 |
Chapter no 5 : Mechanics of Material
Analysis and Designs of Beam for Bending
In the above slides we will discussed this chapter in detail and solved some of the conceptual questions.
We will cover the following topics of this chapter
A safe design requires that the maximum normal stress be
less than the allowable stress for the material used. This
criteria leads to the determination of the minimum
acceptable section modulus.
Among beam section choices which have an acceptable
section modulus, the one with the smallest weight per unit
length or cross sectional area will be the least expensive
and the best choice
We will cover the following topics of this chapter
Introduction to this chapter
Objective - Analysis and design of beams
• Transverse loadings of beams are classified as
concentrated loads or distributed loads
• Applied loads result in internal forces consisting
of a shear force (from the shear stress
distribution) and a bending couple (from the
normal stress distribution)
• Normal stress is often the critical design criteria
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| Bending moment |
Requires determination of the location and
magnitude of largest bending moment.
Classification of Beams
Shear and Bending Moment Diagram
- Determination of maximum normal and shearing stress requires identification of maximum internal shear force and bending couple.
- Shear force and bending moment at a point determined by passing a section through the beam and applying an equilibrium analysis on the beam portions on either side of the section.
Solved Sample Problem 5.1
Solved Sample Problem 5.2
Relation between load shear and bending moment
Solved Sample Problem 5.3
Solved Sample Problem 5.4
Design of prismatic beams for bending
The largest normal stress is found at the surface where the
maximum bending moment occurs.
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| Bending Moment |
less than the allowable stress for the material used. This
criteria leads to the determination of the minimum
acceptable section modulus.
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| Section Modulus |
chap-5.pdf
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Among beam section choices which have an acceptable
section modulus, the one with the smallest weight per unit
length or cross sectional area will be the least expensive
and the best choice
Solved Sample Problem 5.8
For more detail download the above slides..
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