Andalusia PAU Technology and Engineering II study plan

Resolve at least 20 two-dimensional static equilibrium problems (beams, frames, cables) drawing complete free-body diagrams before any calculation

Calculate axial stress, strain, and deformation for bars under tension and compression, including statically indeterminate cases with two supports

Compute section properties (centroid, moment of inertia) for I, T, and hollow rectangular sections and use them in bending stress formulas

Classify the main families of engineering materials (metals, polymers, ceramics, composites) and match each to three real applications with justification

Analyse four-bar and crank-slider mechanisms: determine degrees of freedom with Gruebler's criterion and trace the coupler point path for two configurations

Select and size machine elements: compute required shaft diameter from torque and allowable shear stress, and choose a bearing and a belt or gear pair for a given transmission ratio

Apply Kirchhoff's laws to solve at least 10 DC circuits mixing series, parallel, and bridge topologies, verifying with mesh or node analysis

Compute equivalent resistance, Thevenin equivalent, and power balance for each solved circuit

Solve single-phase and three-phase AC circuits: impedance, phasors, power factor, and power triangle, including power-factor correction calculations

Describe the operating principle and starting methods of DC and induction machines, and compute slip, synchronous speed, and output torque from nameplate data

Identify and specify sensors for position, proximity, temperature, and force, matching each to an industrial application with signal type (analog or digital)

Explain the difference between open-loop and closed-loop control and sketch a block diagram with setpoint, error, controller, actuator, and feedback

Design and analyse a pneumatic circuit for a double-acting cylinder with 5/2 valve, flow control, and end-of-stroke sensing, drawing the ISO 1219 symbol scheme

Compute cylinder force, air consumption, and extend/retract speeds from bore, rod diameter, pressure, and flow rate

Explain the function of compressors, FRL units, directional valves, and accumulators in a pneumatic or hydraulic installation

Write a simple PLC ladder program (start/stop with seal-in, timer, and interlock) for the cylinder sequence and describe the scan cycle

Compare machining processes (turning, milling, drilling, grinding) by achievable tolerance, surface finish, and typical workpiece geometry

Calculate cutting parameters: cutting speed, feed rate, and machining time for a turning and a milling operation

Explain forming and joining processes (rolling, forging, deep drawing, welding, adhesive bonding) and select one for a given part specification

Describe destructive and non-destructive material tests (tensile test, hardness, impact, ultrasonic, dye penetrant) and interpret a stress-strain curve

Use metrology instruments: read a vernier caliper and micrometer to 0.02 mm and 0.01 mm, and state the effect of temperature on measurement

Compare energy sources (fossil, nuclear, solar photovoltaic, solar thermal, wind, hydro, biomass) on conversion efficiency, capacity factor, and environmental impact

Calculate energy and power for a domestic or industrial installation, including efficiency chains and annual consumption estimates

Evaluate the environmental impact of a product using energy payback, recyclability, and life-cycle stages

Draft a project methodology outline covering phases, deliverables, Gantt scheduling, budget, and risk register for a small technical project

Apply first- and third-angle projection rules to produce front, plan, and side views of an object with hidden lines and a section view

Dimension a drawing according to ISO conventions: dimension lines, extension lines, arrows, tolerances, and surface finish symbols

Interpret a given set of views and reconstruct the 3D solid mentally, then verify by sketching an isometric view

Produce or edit a simple part drawing in a CAD tool, exporting it to PDF with a title block containing scale, material, and projection symbol

Complete two full timed mock exams under PAU conditions, scoring each domain separately and logging every error by cause

Re-derive the ten formulas most often missed (bending stress, three-phase power, cylinder force, cutting speed, efficiency chain) from memory without notes

Revisit the two weakest domains identified in the mock scores and solve five targeted problems in each

Build a one-page formula and units sheet covering all eight domains for final review

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