Building Science
Solved internal forces exercises: shear and bending moment diagrams
Six exercises with solutions: simply supported beam with a uniform load and with two point loads, off-centre load, cantilever with combined loads,…
Category
Third Year
Third-year subjects, where electronics begins: circuit theory, electromagnetic fields, signals, automatic control, electronic devices, technical physics and structural mechanics.
116 articles
Building Science
Internal forces in depth: beam element, area rule, cantilever and point load
The equilibrium of the beam element, the area rule for drawing shear and moment by hand, the cantilever with a tip load…
Electromagnetic Fields
Solved exercises on anisotropic media: ferrite, Faraday rotator, circulator, wave plates, ionosphere, Hall effect
Eight exercises with solutions and graphs: Polder tensor, resonance field and YIG filters, plasma frequency and secant law, Faraday rotator and isolator,…
Electromagnetic Fields
Anisotropic media: the Polder tensor of ferrite, birefringent crystals, ionospheric plasma and the Hall effect
Permeability, permittivity and conductivity tensors derived from the physics of the material: Polder tensor proved, Faraday rotation, isolators and circulators, wave plates,…
Electromagnetic Fields
The coaxial cable from Maxwell's equations: characteristic impedance and why 75 Ω and 50 Ω
The TEM mode derived from Maxwell's equations, the coax field from Laplace's equation, Z0 = 60/√εr ln(b/a), proof of the minimum-loss (76.7…
Automatic Controls 1
Solved exercises on Bode plots, Nyquist and stability margins
Nine exercises with solutions and plots: asymptotic Bode, resonant peak, margins, gain for a phase margin, delay margin, lead network, Nyquist of…
Automatic Controls 1
Bode plots and the Nyquist criterion in depth: rules, resonance, criterion proved and margins
Bode plot asymptotes and errors, second-order resonance proved, minimum phase, delays and unstable zeros, argument principle and Nyquist criterion proved, gain, phase…
Automatic Controls 1
Solved root locus exercises, with the loci drawn
Nine exercises with solutions: gain for a damping, asymptotes and breakaway, circular locus, departure angles, stabilising an unstable process, stabilising zero, locus…
Automatic Controls 1
Root locus in depth: the rules proved, difficult cases, MATLAB and Python
Angle and magnitude conditions, proof of all the rules, circular locus with a zero, departure angles, open-loop unstable process, locus with respect…
Building Science
Instability of equilibrium: Euler's critical load
Euler's critical load proved, effective lengths, slenderness and critical stress with an example, imperfections and buckling curves, lateral-torsional and local buckling.