PAU Technology & Engineering II (Cantabria) study plan

Resolve ten 2D static equilibrium problems (beams, frames, cables) by drawing the free-body diagram, writing the equilibrium equations and checking the numerical result for unit consistency.

Compute axial stress, strain and elongation for at least eight bar-and-cable cases, including statically indeterminate two-bar systems solved with the compatibility condition.

Derive shear-force and bending-moment diagrams from scratch for six beams under point loads, uniformly distributed loads and point moments, and locate the maximum bending moment in each.

Calculate section properties (centroid, second moment of area, section modulus) for five common cross-sections and use them to size a beam against an allowable bending stress.

Classify six mechanisms by degrees of freedom using Grübler's criterion and compute the velocity ratio of two gear trains and one belt-and-pulley drive.

Solve fifteen DC circuits using series/parallel reduction, node-voltage analysis and Thévenin equivalents, and verify three of them by mesh analysis.

Analyse first-order transient behaviour of one RC and one RL circuit, computing time constant, initial and final values and the value at a stated time.

Draw phasor diagrams and compute impedance, current and power factor for five single-phase AC series circuits containing R, L and C.

Explain the operating principle and the equivalent circuit of a DC shunt motor and a three-phase induction motor, and compute slip and synchronous speed for three stated operating points.

Identify the function of a diode bridge rectifier, a BJT used as a switch and an operational amplifier in comparator mode within given schematics, and sketch the expected output waveform for each.

Convert between truth tables, Boolean expressions and logic gates for five combinational functions and simplify two of them with Karnaugh maps.

Select bearings, shafts and couplings for three transmission cases by comparing required torque, speed and radial load against catalogue-style ratings supplied in the problem statement.

Size a DC power supply (transformer ratio, rectifier, filter capacitor) for a stated load current and ripple requirement.

Compute line current, power and efficiency for a three-phase load connected in star and in delta from the same phase values, and state why the results differ.

Diagnose five described faults (overheating motor, blown fuse, excessive voltage drop, slipping belt, seized bearing) by reasoning from measurements to root cause.

Estimate the electrical power and torque needed by a motor driving a conveyor or hoist, starting from mass, speed and friction data.

Classify twelve materials (metals, polymers, ceramics, composites) by atomic or molecular structure and predict the property trend that follows from that structure.

Interpret a stress-strain curve: identify elastic limit, yield strength, ultimate strength, ductility and toughness, and compare three curves in writing.

Relate the iron-carbon diagram and typical heat treatments (quenching, tempering, annealing) to changes in hardness and ductility.

Rank candidate materials for four stated applications (bracket, gear, electrical insulator, corrosion-resistant pipe) using a weighted selection matrix with at least four criteria.

Distinguish conductor, semiconductor and insulator behaviour in terms of resistivity and temperature dependence, and justify one material choice for a conductor and one for insulation.

Distinguish open-loop from closed-loop behaviour in six described systems and sketch the block diagram for each, naming the controller, actuator, process and sensor.

Match eight sensor types (inductive, capacitive, photoelectric, ultrasonic, thermocouple, Pt100, encoder, limit switch) to six stated detection or measurement tasks and justify each match.

Explain PWM control of a DC motor and compute duty cycle, average voltage and resulting speed for four numerical cases.

Write and trace a ladder-logic program for a conveyor with start/stop, emergency stop, sensor-triggered diversion and a timer, then state the output for five given input sequences.

Program a robot in a simple teach-pendant or block language to execute a pick-and-place cycle and identify the coordinate frames and axes involved.

Identify and describe the function of ten pneumatic components (compressor, FRL unit, 5/2 valve, flow-control valve, cylinder, sensor, silencer) within a circuit.

Design and draw circuits for four stated tasks (single-acting cylinder with push-button, double-acting cylinder with speed control, sequence of two cylinders, emergency retraction) using standard ISO symbols.

Compute force, air consumption and cycle time for a double-acting cylinder from bore, stroke, pressure and flow data.

Compare pneumatic and hydraulic actuation for four applications on force density, compressibility, cost and precision, and justify each choice.

Read a hydraulic circuit with a relief valve, directional valve and flow-control valve and explain what happens to pressure and actuator speed when the relief setting or the flow restriction changes.

Select a machining or forming process for five described parts and justify the choice on tolerance, batch size and material.

Compute cutting parameters (cutting speed, feed, machining time) for three turning or milling operations.

Distinguish the main welding and joining processes and their typical defects, and specify a suitable joint for three stated assemblies.

Use measurement instruments (caliper, micrometer, comparator) to interpret five sets of readings and decide whether each part meets a stated tolerance.

Interpret an X-bar/R control chart or a sampling plan and state whether a described production run is in control.

Compare three energy sources for a given site on cost, emissions and availability, and compute the energy and payback of one efficiency improvement (e.g. LED retrofit or motor replacement).

Produce a project dossier structure (memory, specifications, planning, budget, drawings, environmental note) and write the specification section for a small device of your choice.

Build a cost budget with material, labour and overhead lines and compute total cost, unit cost and break-even quantity for a stated production volume.

Draw a Gantt chart for a ten-task project, identify the critical path and state the effect of a two-day delay on one non-critical task.

Use a spreadsheet or CAD tool to produce one deliverable artefact (cost sheet, dimensioned drawing or simulation result) and export it in a documented format.

Complete two full timed mock exams under exam conditions and classify every error by domain to build a revision list.