PAU Technical Drawing II (Aragón) study plan

Construct triangles (scalene, isosceles, equilateral, right) from given side lengths, angles, heights, medians, and circumradius using compass and straightedge, showing all auxiliary arcs.

Construct quadrilaterals (squares, rectangles, rhombi, parallelograms, trapezoids) given diagonals, angles, sides, and heights, verifying each construction with a check measurement.

Construct regular polygons (n = 3 to 12) inscribed in and circumscribed about a given circle using general methods (e.g., central angle, Thales, and approximate methods for n = 7, 9, 11).

Apply dimensioning rules from UNE/ISO standards: place dimensions on the correct views, use arrows and extension lines properly, and avoid redundant or closed dimension chains.

Select appropriate drawing scales (1:1, 1:2, 1:5, 1:10, 1:20, 1:50, 1:100) for given objects and compute drawing lengths from real lengths and vice versa.

Construct polygons using the general method of inscribed polygons and the general method of circumscribed polygons, and compare accuracy for n = 7 and n = 9.

Solve triangle and quadrilateral construction problems that require auxiliary constructions (e.g., similar triangles, rotations, or translations) from a set of given data.

Apply line conventions (thick continuous for visible edges, thin continuous for dimension and construction lines, dashed for hidden edges, chain for axes) consistently across all drawings.

Lay out standard sheet formats (A4, A3, A2) with title block, border, and folding marks according to UNE-EN ISO 5457.

Dimension angles, radii, diameters, and chamfers correctly, including the use of the diameter symbol and radius symbol.

Determine the true length of a segment and the true angle between a line and a plane using the change-of-plane method and the right-triangle method.

Find the intersection point of a line and a plane, and the intersection line of two planes, in dihedral projection, showing visibility.

Construct the true shape of a plane section of a solid (prism, pyramid, cylinder, cone) by change of plane or by auxiliary projection.

Draw the intersection curve between two solids (e.g., cylinder–cylinder, cone–sphere) using auxiliary planes and identify special points (tangency, visibility change).

Develop the lateral surface of a truncated prism, cylinder, pyramid, and cone, including the true lengths of all edges and the development of the section curve.

Solve a complete descriptive geometry problem: given a solid defined by its projections, find the true shape of an oblique section, develop the surface, and determine the shortest path on the surface between two points.

Produce a 3D sketch (isometric or cavalier) of a solid from its dihedral projections, and vice versa, verifying consistency of hidden lines.

Apply the method of auxiliary views to find the true shape of a face and the dihedral angle between two faces.

Construct the intersection of a sphere with a plane and with a line, and determine the visibility of the resulting circle and points.

Use a CAD system (e.g., AutoCAD or FreeCAD) to model one of the solids from the week’s problems and extract its section and development to cross-check the manual result.

Construct ellipses, parabolas, and hyperbolas given foci, directrix, or asymptotes, using at least two methods per conic (e.g., concentric circles, rectangle method, directrix method).

Draw tangents to conics from an external point and at a point on the curve, using the focus-directrix property.

Construct an Archimedean spiral and a logarithmic spiral given their parameters, and draw the tangent and normal at a point.

Apply homothety and similarity to scale a given figure, find the center of homothety between two similar figures, and solve a homothety problem involving tangency.

Construct the inverse of a point, a line, and a circle with respect to a given circle of inversion, and use inversion to solve a tangency problem (e.g., circle tangent to three circles).

Convert a given 3D object into first-angle and third-angle orthographic projections (front, top, side), applying correct line types and hidden-line conventions.

Construct an isometric, dimetric, and oblique projection of the same object, and compare the distortion of each system.

Sketch freehand (no instruments) a mechanical part and an architectural element (e.g., a bracket and a window frame) in proportion, using construction boxes and centerlines.

Apply the rules of axonometric projection to draw circles in isometric (ellipse with major axis 1.22d) and in dimetric, and place dimensions in axonometric views.

Interpret a set of orthographic views and identify the corresponding 3D object from a list, explaining the reasoning for ambiguous cases.

Solve a projective transformation problem: given two projective ranges, find the center and axis of homology, and apply homology to draw the perspective of a plane figure.

Use a CAD program to draw a 2D mechanical part with layers for visible, hidden, dimension, and construction lines, and apply geometric constraints (tangent, concentric, equal).

Create a 3D model of a simple assembly (e.g., a flanged coupling) using extrusions and revolutions, then generate a 2D drawing with sections and dimensions from the model.

Plot a CAD drawing to PDF at a specified scale (e.g., 1:2 on A3) with correct line weights and a title block, verifying the scale by measuring a known dimension on the print.

Use CAD to construct the envelope of a family of circles (e.g., circles with centers on a line and tangent to another line) and compare with the manual envelope construction.

Complete a full timed mock exam (180 minutes) covering all domains, using only the permitted instruments and standards.

Identify and correct the three most frequent errors from the mock exam (e.g., missing visibility, incorrect dimensioning, inaccurate tangency points) by redoing those specific constructions.

Review normalization tables (scales, formats, line types) and produce a one-page personal cheat sheet from memory.

Re-solve two descriptive geometry problems from weeks 3–4 under timed conditions, aiming for a 20% reduction in completion time.

Self-assess against the official PAU marking criteria for Technical Drawing II, listing strengths and remaining gaps with a plan for final review.