La Rioja PAU Tech & Engineering II (UR) study plan

Resolve ten 2D static equilibrium problems (beams, frames, cables) drawing the free-body diagram before any calculation

Compute axial stress, strain and deformation for bars in series and parallel, including indeterminate cases

Calculate section properties (centroid, moment of inertia) for five common cross-sections and apply the parallel-axis theorem

Build a one-page formula sheet linking normal stress, shear stress, bending moment and deflection formulas with their validity conditions

Design and verify a shaft under combined bending and torsion using an equivalent-stress criterion

Analyse a four-bar linkage and a gear train to obtain output speed, torque and mechanical advantage

Select bearings and a belt or chain drive for a given load case, justifying the choice with catalogue-style data

Identify and sketch the failure mode expected for five given structural or machine components

Solve DC and single-phase AC circuits using node and mesh analysis, confirming results with phasor diagrams

Compute active, reactive and apparent power and correct a load's power factor with capacitors

Analyse the operation of a three-phase induction motor from its equivalent circuit and torque-slip curve

Explain the switching behaviour of a diode bridge, a buck converter and a single-phase inverter with waveform sketches

Design combinational and sequential logic (truth table, Karnaugh map, flip-flops) for three stated control functions

Model an open-loop and closed-loop system as a block diagram and derive its transfer function

Tune a PID controller for a first-order plant and interpret the effect of each term on the step response

Wire and simulate a PLC ladder program for a start-stop interlock with sensors and an emergency stop

Classify ten engineering materials by atomic structure and bonding and predict the property trend each class implies

Interpret a tensile stress-strain curve and extract yield strength, ultimate strength, modulus and ductility

Compare heat-treatment routes (quenching, tempering, annealing) and state the resulting microstructure and property change

Select a material and a non-destructive or destructive test method for three stated service conditions, with justification

Compare conventional and renewable generation technologies on efficiency, dispatchability, cost and emissions

Compute the energy yield of a photovoltaic or wind installation from resource data and a capacity factor

Trace electricity from generation through transmission and distribution and explain transformer and line losses

Evaluate efficiency measures for a building or industrial process and quantify the potential saving

Produce multiview orthographic drawings of three parts applying first-angle projection and the relevant ISO conventions

Dimension a part fully with tolerances, fits and surface finish symbols, avoiding over- and under-dimensioning

Draft a project memory document: objectives, constraints, work breakdown, Gantt schedule and risk list

Build a budget for a small technical project covering materials, labour, and overhead, and compute a break-even or total cost

Complete two full timed mock exams under PAU conditions and score them against the official marking criteria

Diagnose the three weakest domains from mock results and re-solve every missed item without notes

Condense all seven domains into a single two-page recall sheet of formulas, standards and typical question patterns

Rehearse written justifications so that each answer states the criterion, the calculation and the conclusion