Solid Mechanics and Material Strength
Like Duolingo, but for Solid Mechanics and Material Strength. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
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Key ideas in Solid Mechanics and Material Strength
- Internal loads represent the total force and moment the removed section exerted on the remaining part.
- These resultants maintain the body's integrity by resisting external loads at every imaginary interface.
- Internal resultants and integrity
- Positive shear tends to rotate a beam segment clockwise, regardless of which side of the cut you examine.
- Positive bending moment always creates compression in the top fibers and tension in the bottom fibers (concave up).
- Sign convention for shear and moment
- External support reactions must be solved using the whole-body equilibrium before cutting the member.
- Internal resultants are the imaginary forces holding a cut body together.
- The segment chosen for analysis must satisfy the sum of forces and moments equaling zero to be in equilibrium.
- Normal force acts perpendicular to the cross-section, while shear force acts parallel to it.
- Equilibrium equations must be satisfied for any sub-segment of a structure.
- Bending moments are internal couples that counteract external rotations applied to the member.
- The sign convention for internal shear and moment is fixed regardless of the side of the cut.
- Normal force, shear force, and bending moment are the three primary internal resultants in 2D.
- Internal loads are not constant
- Equilibrium equations for sub-segments
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Solid Mechanics and Material Strength the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
Picture this: you've mentally sliced a beam in half to see what's happening inside. What do the forces at that cut actually represent?
Get it right to open this lesson and 78 more in the app.
Where Solid Mechanics and Material Strength takes you
Master the behavior of solid objects under load, from internal stress analysis to complex failure theories and structural stability.
- 1
Internal Forces and Stress States
- The Method of Sections for Internal Loads
- Normal and Shear Stress Fundamentals
- Mechanical Properties and Hooke's Law
- 2
Axial Loading and Torsion
- Axial Deformation and Indeterminacy
- Torsional Shear in Circular Shafts
- 3
Bending Analysis in Beams
- Shear and Bending Moment Diagrams
- The Flexure Formula and Bending Stress
- 4
Transverse Shear and Combined Loading
- Shear Stress in Beams (VQ/It)
- Analysis of Combined Loadings
- 5
Stress and Strain Transformations
- Plane-Stress Transformation Equations
- Mohr’s Circle for Stress
- Strain Transformation and Measurement
- 6
Deflection and Indeterminacy
- Beam Deflection by Integration
- Discontinuity Functions and Superposition
- Statically Indeterminate Beams
- 7
Stability and Energy Methods
- Buckling of Columns
- Energy Methods and Castigliano’s Theorem
- 8
Failure Theories and Design Applications
- Failure Theories for Ductile and Brittle Materials
- Fatigue and Stress Concentrations
- Inelastic Behavior and Residual Stress
8 sections · 20 units · 79 levels. Built to play, not to enroll.
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