Topics: stress, strain, centroid, inertia, bending moment, shear force, deflection of beams, fixed beam, continous beam, thin shells, joint, shafts, spring, column, struts

Topics: Force vector, Equilibrium, force system resultant, structural analysis, internal force, friction, center of gravity, centroid, Moment of inertia, virtual work

Topics: Force vector, Equilibrium, force system resultant, structural analysis, internal force, friction, center of gravity, centroid, Moment of inertia, virtual work

Topics: engineering mechanics, resolution of forces, moments, parallel forces, couples, equilibrium of forces, center of gravity, centroid, moment of inertia, friction, static friction, limiting friction, lifting machines, support reactions, loading, concentrated load, point load, beams, loads, string, virtual work, linear motion, velocity, acceleration, relative velocity, projectiles, simple harmonic motion, laws of motion, helical springs, pendulums, elastic bodies, rotating masses, work, power, energy, hydrostatics

Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations

Topics: statics, Newtonian mechanics, force systems, force, couples, coplanar force systems, coplanar equilibrium analysis, equilibrium, Three-dimensional equilibrium, free-body diagrams, independent equilibrium equations, beams, cables, dry friction, ropes, flat belt, disk friction, rolling resistance, centroids, distributed loads, moments, Mohr's circle, virtual work, potential energy, virtual displacements

Topics: statics, Newtonian mechanics, force systems, force, couples, coplanar force systems, coplanar equilibrium analysis, equilibrium, Three-dimensional equilibrium, free-body diagrams, independent equilibrium equations, beams, cables, dry friction, ropes, flat belt, disk friction, rolling resistance, centroids, distributed loads, moments, Mohr's circle, virtual work, potential energy, virtual displacements

Topics: mechanics, statics, rigid body, trusses, frames, friction, centroids, centre of gravity, moment of inertia, kinematics

Topics: Tension, compression, direct stresses, Pin-jointed frames, Pin-jointed trusses, Shearing stress, joints, connections, Bending moment, shearing force, centroid, bending stress, Built-in beam, continuous beam, Energy methods, plate differential methods, matrix algebra, finite element method, Structural vibrations

Topics: Applied Mechanics, force, force systems, free body diagrams, resultant force, moments, Varignon’s Theorem, centre of gravity, centroid, Moment of Inertia, friction, Screw Friction, rectilinear motion, Velocity-Time Graphs, Displacement-Time Graphs, laws of motion, impulse, D’alembert’s Principle, work, power, energy, simple machine, Weston’s Differential Pulley Block, circular motion, Centrifugal force, Centripetal Force, curvilinear motion, stress, strain, Hooke's law, tensile test, Strain Hardening, Poisson’s Ratio