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A portion of lecture notes from ME 323 – Mechanics of Materials, Lecture 3. The notes cover the topics of shear stress and strain, shear modulus, single and double shear connections, and calculating normal and shear components of stress. The document also includes examples and objectives for the class.
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x x = E y z x
Course website reminder 4 Homework assignments Gradescope (homework submission) instructions Syllabus, slides for class, and links to pre-week videos and quizzes Solution videos for almost all examples in Lecture Book and “Additional Examples”
Objectives
Direct shear 7 What happens to the shear force and bending moment between the pairs of applied forces as d → 0? V (shear force) M (bending moment)
Single and double shear connections 8 Single shear: Double shear: FBD of pin shear stress FBD of pin shear stress
Example: Stress on an inclined plane Motivation: Metals typically fail due to shear stress Motivation: Axial member with a weld line For the axially loaded rectangular bar, what are the normal and tangential components of the stress acting on the plane given by the angle θ?
Example: Stress on an inclined plane For the axially loaded rectangular bar, what are the normal and tangential components of the stress acting on the plane given by the angle θ?