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Fundamentals of Mechanics of Materials
Rating: 3.8 out of 5(16 ratings)
595 students
Created byVaibhav V. Khond
Last updated 5/2021
English

What you'll learn

  • Fundamentals of Mechanics of Materials

Course content

1 section • 15 lectures • 1h 35m total length

  • Course overview3:06

    Explore the fundamentals of mechanics of materials, examining stresses, strains, and the behavior of bodies under load, and introduce design considerations, tests, and critical element analysis.

  • Types of stresses4:36

    Examine the types of stresses—direct, indirect, and combined—and distinguish normal and shear stresses arising from forces across cross-sectional areas, with emphasis on cross-sectional effects.

  • Elastic Constants4:16

    Explore elastic constants and their role in material behavior, focusing on units and modeling approaches that describe material responses to applied force.

  • Stress strain diagram5:28

    Explore the stress-strain diagram for materials, identifying the elastic region, the proportional limit, and the onset of plastic deformation, with notes on testing and design implications.

  • Thermal stresses4:06

    Explore how thermal expansion creates stresses in a body and how different support conditions determine whether expansion produces stress.

  • Axially loaded members4:29

    Explore axial loading and elongation of members, using stress-strain relations and basic equilibrium equations, boundary conditions to relate load, area, and deformation, and distinguish determinate from indeterminate structures.

  • Shear force and Bending Moment Diagrams7:15

    Explore the fundamentals of beam supports, reactions, and the relationship between shear force and bending moment diagrams, including section analysis and moment signs.

  • Bending and Shearing Stresses in Beams13:56

    Explore bending and shear stresses in beams, including bending moments, shear forces, and their distribution across cross sections. Learn how moment of inertia and distance from the axis affect stress.

  • Slope and Deflection of Beams5:36

    Master slope and deflection of beams in mechanics of materials, defining slope as the tangent angle, identifying maximum deflection at the center, and applying integration to relate moment to deflection.

  • Torsion of shafts7:30

    Explore torsion of shafts and shaft behavior in the fundamentals of mechanics of materials, using key formulas to analyze loading and performance.

  • Buckling of Columns5:28

    Explore buckling as a loss of stability in columns, and how slenderness ratio and end conditions determine short-column crushing versus long-column buckling.

  • Principal Stress and Strains6:14

    Explore how to identify principal stresses and planes and compute maximum shear stress from oblique sections, using sigma1, sigma2, and the principal angle theta.

  • Mohr circle method6:35

    Explore the Mohr circle method to determine principal stresses and maximum shear stress using sigma1, sigma2, and the angle of obliquity, with construction and interpretation.

  • Theories of Failure10:34

    Explore the theories of failure in materials, including maximum principal stress, maximum shear stress, and distortion energy criteria, and learn how energy and experimental comparisons guide design.

  • Combined Loading and stresses6:50

    Explore combined loading concepts, including normal and shear stresses, axial bending, and moments, and apply neutral axis ideas with sigma relations.

Requirements

  • Mathematics, physics, Engineering Mechanics

Description

Mechanics of Materials, also called Strength of materials, is a subject which deals with the behavior of solid objects subject to stresses and strains. The complete theory began with the consideration of the behavior of one and two dimensional members of structures, whose states of stress can be approximated as two dimensional, and then generalized to three dimensional to develop a more complete theory of the elastic and plastic behavior of materials. The study of Mechanics of materials often refers to various methods of calculating the stresses and strains in structural members such as beams, columns, and shafts. The methods employed to predict the response of a structure under loading conditions and its susceptibility to various failure modes takes into account the properties of materials such as its yield strength, ultimate strength, Young's modulus, and Poisson's ratio. it is also being known as Mechanics of Deformable bodies. The mechanics of deformable solids is more concerned with the internal forces and associated changes in the geometry of the components involved. Therefore, the subject of mechanics of materials or strength of materials is central to the whole activity of engineering design. Usually the objectives in analysis here will be the determination of the stresses, strains, and deflections produced by loads. Theoretical analyses and experimental results have an equal roles in this field.

In this course the various fundamental concepts of Mechanics of Materials is been focused. the learner will have to use these concepts by solving the numerical from various books on these subject.


Who this course is for:

  • Engineering Student

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