Progressive Learning Path
The MECHLAB solid mechanics curriculum develops in strict physical sequence: starting from static equilibrium and infinitesimal continuum stress, passing through internal flexural states, and culminating in multidimensional yield criteria and structural stability failure envelopes.
Fundamentals of Solid Mechanics
External vs internal forces, equilibrium states, and rigorous Free Body Diagram isolation.
References: Timoshenko, Gere & Goodno, Hibbeler. Formulated strictly in SI units.
Fundamentals of Solid Mechanics
Stress and Strain Relations
Elasticity & Material Properties
Axial Loading & Deformation
Torsion in Circular Members
Beam Flexure & Bending Stress
Shear Force & Bending Moment
Second Moment of Area
Principal Stresses & Mohr's Circle
Column Stability & Euler Buckling
Theories of Material Failure
All Eleven Modules of Mechanics of Solids
A structured path from basic forces to failure theories. Each module combines clear derivations, worked examples, and interactive simulations.
Learn external and internal forces, types of loading, equilibrium conditions, and how to draw free body diagrams for engineering components.
Understand normal and shear stress, engineering strain, and Hooke's Law, with practical examples for each formula and unit.
Compare Young's modulus, shear modulus, bulk modulus, and Poisson's ratio across steel, aluminium, copper, and rubber.
Analyse elongation and shortening of axial members, including non-uniform sections and thermal deformation, using δ = FL/AE.
Study torque, angle of twist, and shear stress distribution in circular shafts, and how shafts transmit power in machines.
Explore simply supported, cantilever, and fixed beams under point and distributed loads, including bending stress and the neutral axis.
Calculate support reactions and construct shear force and bending moment diagrams using standard sign conventions.
Compute area moments of inertia using the parallel and perpendicular axis theorems, and compare rectangular, circular, and I-shaped sections.
Transform plane stresses, find principal stresses and maximum shear stress, and interpret them with a dynamic Mohr's Circle.
Apply Euler's buckling theory to short and long columns, using effective length, slenderness ratio, and different end conditions.
Compare maximum principal stress, maximum shear stress, and distortion energy theories, and use factor of safety to prevent failure.
Ready to work through the modules?
Begin with the fundamentals or jump to the module you need. Use the calculators and laboratory to check your work.