Mechanics of Materials

Mechanics of materials covers how solid bodies respond to load — stress, strain, deformation, and the point at which a member fails.

Each topic below has video walkthroughs, worked examples, and a quiz that regenerates its numbers every attempt.

Mechanics of Materials practice problems

Topics Covered

Pick a subtopic and start

Stress, Strain & Deformation

Axial loading, the stress-strain diagram, Young’s modulus, and elastic vs. plastic behaviour.

Shear & Moment Diagrams

Internal shear and bending moment along a beam, and the loading patterns that produce them.

Combined Stress & Mohr’s Circle

Principal stresses, maximum shear, and graphical stress transformation.

Column Analysis & Composite Sections

Buckling, slenderness, effective length, and transformed section properties.

Elastic & Plastic Deformation

The yield point, permanent deformation, and reading the stress-strain curve.

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What Else the Exam Expects

Concepts that show up inside the topics above

Axial, Torsion & Bending

Axial loading, shear stress from twisting, and flexural stress in beams — the three load types most FE problems build on.

Deflection & Combined Loading

Beam deflection calculations, and analysing members carrying more than one load type at once, as most real structures do.

Quick Review with Shorts

Our YouTube Shorts cover single concepts — a formula, a sign convention, a common mistake — in about a minute.

A Note on Textbooks

A quality textbook alongside these resources makes a real difference. Mechanics of Materials by Barry J. Goodno and James M. Gere covers stress, strain, deformation, and structural behaviour with clear explanations and worked examples.

Homework Help

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One-on-One Tutoring

Work through the material live, at your own pace, with questions answered in real time.

Discussion Boards

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