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Som 4

The document provides a detailed explanation of the five major parts of Strength of Materials, focusing on stress and strain analysis. It covers key concepts such as normal and shear stress, elastic and plastic behavior, and includes relevant equations like Hooke's Law. Applications of these principles are highlighted in the context of designing components subjected to direct loads.

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16 views1 page

Som 4

The document provides a detailed explanation of the five major parts of Strength of Materials, focusing on stress and strain analysis. It covers key concepts such as normal and shear stress, elastic and plastic behavior, and includes relevant equations like Hooke's Law. Applications of these principles are highlighted in the context of designing components subjected to direct loads.

Uploaded by

Nasir
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Certainly!

Here's a more detailed explanation of the five major parts of Strength of Materials, including
deeper concepts, equations, and applications for each:

1. Stress and Strain Analysis

📌 Concepts:

 Stress is the internal resistance offered by a body to external forces:


o Normal Stress (σ\sigmaσ): Acts perpendicular to the surface.
o Shear Stress (τ\tauτ): Acts tangentially to the surface.
 Strain is the deformation per unit length due to stress:
o Normal Strain (ε\varepsilonε),
o Shear Strain (γ\gammaγ)
 Elastic and Plastic Behavior: Elastic deformation is reversible; plastic is permanent.
 Poisson's Ratio (ν\nuν): Ratio of lateral strain to longitudinal strain.

📌 Equations:

 σ=FA\sigma = \frac{F}{A}σ=AF
 ε=ΔLL\varepsilon = \frac{\Delta L}{L}ε=LΔL
 Hooke's Law: σ=Eε\sigma = E \varepsilonσ=Eε
 Shear modulus: G=E2(1+ν)G = \frac{E}{2(1 + \nu)}G=2(1+ν)E

📌 Applications:

 Used in designing components like rods, wires, and bolts under direct loads.

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