Design and Human Factors: Composition, Form, Proportion, Space, Circulation, Anthropometrics, Accessibility and Bye-laws

This chapter completes Part A, Section A.1 (Design and Graphics) of the Architecture and Planning (AR) paper. The heading asks for: “Visual composition in 2D and 3D; Form; Anthropometrics; Ergonomics, Ratio and proportion, Scales in design, Organization of space; Plans, elevations, and sections of buildings; Circulation, horizontal and vertical; Universal design; Building bye-laws; Codes and standards, Barrier-free environment”. It teaches the elements and principles of composition and the vocabulary of form; proportion systems (golden section, Fibonacci series, root rectangles, the Modulor); scale and the organisation of space; how plans, elevations and sections are read; horizontal and vertical circulation, including stairs, ramps, corridors and lifts; anthropometrics and ergonomics; universal design and the barrier-free environment; and the bye-laws, codes and standards that regulate buildings. The numericals are proportion lengths, stair going, ramp length, percentile dimensions, circulation areas and buildable envelopes.

1. Visual composition in two and three dimensions

Composition is the arrangement of elements into an ordered whole. The elements are point, line, plane and volume, described by shape, size, colour, tone (value), texture, position and orientation. In 2D (a façade drawing, a plan, a poster, an urban graphic) composition works on a flat field where the eye separates figure from ground. In 3D it works with mass and void, light and the viewer's movement, so the composition changes with every viewpoint and has to be judged as a sequence of views rather than one picture.

Principles of composition
PrincipleMeaningExample
Unity and harmonyparts belong together through a shared shape, material, colour or grida street wall of one brick and one window module
Balancesymmetrical (mirror halves about an axis, formal and static), asymmetrical (unequal parts of equal visual weight, informal and dynamic) or radial (about a point)a temple front; a tower balanced by a long low wing
Rhythm and repetitionregular recurrence or alternation of elementsa colonnade, a row of windows
Contrastdifference of size, shape, tone or texture that creates interesta solid wall against a glazed void
Hierarchy and emphasisone element dominates by size, shape or position and becomes the focal pointthe entrance, the dome
Datum and axisa line, plane or volume that organises other elements by its regularity and continuitya spine corridor, a grid

The eye groups what it sees by proximity, similarity, closure and continuity (the Gestalt laws) and can flip figure–ground: in a plan of a town, built mass can be read as the figure and open space as the ground, or the reverse. Colour has hue, value and saturation; warm colours advance and cool colours recede; schemes are monochromatic, analogous (neighbours on the colour wheel) or complementary (opposites). In 3D add the ratio of solid to void, the layering of foreground, middle ground and background, silhouette and skyline, and serial vision, the succession of views revealed along a route.

⚠️ Symmetry is not the same as balance
Symmetry is one way to get balance, not the only way. Asymmetrical balance is a balance of visual weight, which grows with size, dark tone, saturated colour, texture and distance from the axis, much as on a lever: a small dark mass far from the axis can balance a large pale one near it.

2. Form

Form is the shape together with the three-dimensional structure and mass of a building. It is the building's primary identifying characteristic, while space is what the form encloses and shapes. The primary solids (sphere, cylinder, cone, pyramid and cube) are regular forms that are stable and easy to read, and they give designers a vocabulary to transform.

The primary solids
SolidCharacter
Sphereself-centred and introverted; unstable on a plane, since it rolls
Cylindercentred on its axis and extendable along it
Conestable on its base, precarious when balanced on its tip
Pyramidstable, with its apex drawing the eye upward
Cubestatic, equal in every direction, with no preferred direction
  • Dimensional transformation: one or more dimensions change and the form keeps its identity, so a cube becomes a prism.
  • Subtractive transformation: volume is removed, as in a notch, a corner cut or a courtyard, and the form stays readable if enough of the original remains.
  • Additive transformation: forms are added to the original. The additive types are centralised (a dominant centre with secondary forms around it), linear (a row), radial (a core with linear arms), clustered (grouped by proximity or a shared trait) and grid (held by a modular three-dimensional grid).

The properties of form are shape, size, colour, texture, position, orientation and visual inertia, the degree of stability, which depends on the geometry and on the orientation relative to the ground, to gravity and to our line of sight. A triangle resting on its base is stable; the same triangle standing on its apex is dynamic. Form is read through the light that falls on it, so the same form looks different with each hour and each viewpoint.

🎯 Why designers start from primary solids
Simple solids are read at a glance and remembered. A building understood as a cube with a corner cut away or a cylinder with a slab added is grasped faster than an arbitrary shape, and every transformation can be described and compared with its parent form.

3. Ratio and proportion

Ratio compares two quantities and proportion is the equality of two ratios. A proportioning system is a consistent set of ratios that relates every part of a building to the others and to the whole, which is the source of visual order. It is internal to the design, unlike scale, which relates the design to the human body or its surroundings.

Proportioning systems
SystemBasisKey facts
Golden sectionφ = (1 + √5)/2 = 1.618, with a : b = (a + b) : awhole : larger = larger : smaller; a length L splits into 0.618 L and 0.382 L; φ² = φ + 1 and 1/φ = φ − 1; removing a square from a golden rectangle leaves a smaller golden rectangle
Fibonacci series1, 1, 2, 3, 5, 8, 13, 21, 34, 55 …, each term the sum of the two before itthe ratio of successive terms tends to φ (8/5 = 1.6, 13/8 = 1.625, 21/13 = 1.615) without ever equalling it
Root rectangles√2 = 1.414, √3 = 1.732, √5 = 2.236each is built from the diagonal of the one before; a √2 rectangle halved across its long side gives two similar rectangles, which is the A-series of paper
Modulor (Le Corbusier)a 1.83 m human figure; red series 4, 6, 10, 16, 27, 43, 70, 113, 183 … cm and a blue series from 226 cmnavel height 113 cm and raised-arm height 226 cm, twice the navel height; each term is the sum of the two before (70 + 113 = 183) and the ratios approach φ
  • Vitruvius's body proportions and the classical orders, in which every part is a fixed multiple of a module such as the column diameter.
  • Renaissance harmonic ratios such as 1 : 2, 2 : 3 and 3 : 4, borrowed from musical consonance and applied to room and façade proportions.
  • Le Corbusier's regulating lines, diagonals drawn across a façade to confirm that its parts are similar rectangles.
  • Body-based modules of Indian śilpa texts (aṅgula, hasta, tāla) and the Japanese tatami mat, about 2 : 1, used as a module for room sizes.
  • Golden section of a 10 m wall: 10/1.618 = 6.18 m and 10 − 6.18 = 3.82 m.
  • Golden rectangle of width 4 m: length = 4 × 1.618 = 6.47 m. A √2 rectangle of short side 3 m: long side = 3 × 1.414 = 4.24 m.
  • Modulor: 183/113 = 1.62 and 113/70 = 1.61, both close to φ.
⚠️ Do not mix up the numbers
The golden ratio is 1.618; 0.618 is its reciprocal and describes the same division read from the other side. A √2 rectangle (1.414) is not a golden rectangle (1.618). Fibonacci ratios approach φ but never equal it, and the Modulor's blue series starts from the raised-arm height 226 cm, not from the navel height 113 cm.

4. Scale in design

Scale in design is the apparent size of a building or element compared with a reference: either the human body (human scale) or the other elements around it (generic scale, size relative to the context). Proportion is internal, part to whole, whereas scale is external, so a building can be perfectly proportioned and still be out of scale. Do not confuse it with the scale of a drawing, the representative fraction of the previous chapter.

Kinds of scale in design
KindMeaningEffect
Human scalesizes related to the body: step, door, handrail, window sill, seatcomfort and familiarity
Intimate scaledeliberately smaller or more enclosed than usualcosiness, withdrawal
Monumental scaledeliberately larger than function needs, as in temple gateways and capitol buildingsawe, power, permanence
Generic (contextual) scalesize compared with neighbours and settingan infill that fits, or one that dwarfs its street

Scale cues are familiar elements such as the door, step, rail, window and brick course. Exaggerate them and the building looks smaller or larger than it is, which is false scale, and a large building is given human scale by breaking it into parts of familiar size. In urban space the ratio of the width of the space D to the height H of its enclosing walls governs the sense of enclosure. D/H = 1 gives strong enclosure, the eye angle to the top of the opposite wall being 45°; D/H = 2 gives a comfortable enclosure (27°); D/H = 3 a weak one (18°); and enclosure fades as D/H rises further.

Worked: a street 12 m wide between buildings 12 m high has D/H = 1 and an eye angle of tan⁻¹(H/D) = 45°. Widen it to 24 m and D/H = 2, so the angle falls to tan⁻¹(0.5) = 26.6°, about 27°.

🎯 Scale is not size
A small memorial can have monumental scale through large-scale elements, and a huge building can have human scale if its entrances, steps, windows and bands are of familiar size. Scale is the perceived size, set by the cues that the eye compares with its own body.

5. Organisation of space

Space is shaped by the base plane (floor), the overhead plane and the vertical planes, and by the openings and thresholds that control how enclosed or connected it feels. Organising space means arranging spaces by function, privacy, hierarchy, access, view and climate. Ching describes four spatial relationships: a space within a space, interlocking spaces, adjacent spaces, and spaces linked by a common space.

Ways of organising spaces
OrganisationDescriptionSuited to
Centraliseda dominant central space with secondary spaces grouped around itassembly halls, shrines, courtyard houses
Linearspaces in a row or strung along a path, extendable at the endsclassrooms, hostel rooms, hotel rooms
Radiala central core with linear arms reaching outwardterminals, hospital wings around a hub
Clusteredspaces grouped by proximity or a shared trait, with no fixed geometry; easy to add tohousing clusters, schools of varied units
Gridspaces set in a regular modular grid of points or linesoffice floors, framed buildings, markets

Plan logic: zone spaces by privacy (public, semi-public, private) and by use (day and night areas), and show hierarchy through size, shape and position. Keep the servant spaces (stairs, toilets, kitchens, shafts) together so that the served spaces (living and working rooms) stay open and flexible, which is Louis Kahn's served and servant idea. Test adjacency with a bubble diagram or a relationship matrix before drawing walls. In Indian practice the open-to-sky courtyard is a classic organiser of spaces and of climate.

⚠️ Do not swap the five organisations
Centralised means one dominant space with the rest around it; radial means a core with linear arms; linear means a row along a path; clustered has no fixed geometry, only proximity; grid is regulated by a module. A question that describes classrooms strung along one path with room to extend at both ends is describing a linear organisation, not a clustered one.

6. Plans, elevations and sections of buildings

A plan is the orthographic projection, on a horizontal plane, of the part of a building that lies below an imaginary horizontal cutting plane, seen from above. The cut is taken high enough to pass through doors and windows, commonly about 1.2 m above the floor, above the sill and below the lintel, so that openings show. An elevation is the orthographic projection of an exterior face on a vertical plane, with no cut, and it is named by the direction the face looks towards: the north elevation is the face that looks north. A section is a vertical cut, viewed in the direction of the arrows at the ends of the section line, and it shows what plan and elevation cannot, namely heights and levels.

What each drawing shows
DrawingCutShowsCannot show
Planhorizontal, seen from abovelayout, room sizes, wall thickness, openings, circulationheights and levels, except by spot levels and notes
Elevationnone; vertical projection of the outsideexternal appearance, composition of openings, materials, overall heightsdepth of spaces and the internal layout
Sectionverticalfloor-to-floor and clear heights, slab and roof thickness and slope, stair headroom, plinth and foundation levelsthe layout seen in plan

Conventions: cut walls and columns carry the heaviest line or a solid poché; elements beyond are lighter; elements above the cut are dashed; doors show their swing arcs. A section line with direction arrows is marked on the plan, and one section is normally taken through the staircase to show headroom. A sectional elevation is a section drawn together with the exterior elevation of what lies beyond the cut. The drawings are projected from one another: vertical lines carry widths from plan to elevation, and horizontal lines carry levels from section to elevation.

Worked: with a floor-to-floor height of 3.0 m and a 150 mm slab, the clear height between structural surfaces is 3.0 − 0.15 = 2.85 m, from which the floor finish and any false ceiling are still to be deducted. On a 1 : 100 section the 3.0 m storey is 30 mm high.

⚠️ A plan is a section; a south elevation faces south
A plan is really a horizontal section, which is why windows show as cut openings and why the cutting height must be above the sill. An elevation is named by the direction its face looks towards, not by the compass direction in which the viewer stands. Heights never appear in the plan, so a question about floor-to-floor height or stair headroom needs the section.

7. Circulation: horizontal and vertical

Circulation is the path of movement to and through a building. Its parts are the approach, the entrance, the path configuration (linear, radial, spiral, grid, network or composite), the path–space relationship (passing by spaces, passing through them or terminating in them) and the form of the circulation space (closed corridor, open on one side, open on both sides). A good plan gives movement that is legible, direct and safe, and it keeps the share of floor area given to circulation modest.

Horizontal circulation uses corridors (single-loaded with rooms on one side, double-loaded with rooms on both), lobbies, galleries and ramps. Width follows the flow to be carried, the need for two people or a wheelchair to pass, and evacuation. In the National Building Code exit width is counted in units of 500 mm, so width = (persons ÷ persons per unit) × 0.5 m, with the capacity per unit taken for the occupancy and element. Planning efficiency is net usable area ÷ gross area: if circulation takes 22% of a 1200 m² floor, the usable area is 0.78 × 1200 = 936 m².

Vertical circulation uses stairs, ramps, lifts and escalators. In a stair the riser R is the vertical step and the tread T the horizontal one. Blondel's rule 2R + T ≈ 600 to 650 mm (about R + T ≈ 450 mm) gives a comfortable stair, with R commonly 150 to 180 mm and T 250 to 300 mm. The number of risers = floor-to-floor height ÷ R, rounded to a whole number with R recomputed; treads = risers − 1 in a flight, because the floor above forms the last tread; and the horizontal length of the flight (its going) = treads × T. Codes cap the risers in one flight (about a dozen in housing), require landings at least as wide as the stair, and require clear headroom (about 2.2 m). The usual stair types are straight, dog-legged, open-well, quarter-turn, half-turn, spiral and helical.

A ramp's gradient is rise : run, written 1 : n, so the run = rise × n. For accessibility the gradient is no steeper than 1 : 12, with level landings at the top and bottom and where the run is broken, handrails on both sides and a non-slip surface. Lifts are the main vertical transport of multi-storey buildings, planned as a core with a lobby wide enough for waiting and passing; a lift is not counted as a means of escape in fire, which is the job of the stairs, although tall buildings carry special fire lifts. Escalators and travelators move large flows in public buildings.

  • Stair: 3.0 m floor-to-floor with R = 150 mm gives 20 risers and 19 treads. A dog-legged stair of two equal flights has 10 risers and 9 treads per flight, so with T = 300 mm each flight is 9 × 300 = 2.7 m long in plan (2R + T = 600 mm).
  • Ramp: a 0.75 m rise at 1 : 12 needs a run of 0.75 × 12 = 9.0 m, plus any level landings; the length along the slope is √(0.75² + 9.0²) = 9.03 m, but the plan length is the run.
⚠️ Treads are one fewer than risers
In a flight between two levels the top surface is the floor above, so a flight with n risers has n − 1 treads, and its going is (n − 1) × T. Counting n treads overstates the length of the stair. Likewise a ramp is specified by its run, rise × n, not by the sloping length.

8. Anthropometrics and ergonomics

Anthropometry is the measurement of the human body. Structural (static) dimensions are taken in fixed postures: stature, sitting height, elbow height, hip breadth, knee and popliteal height. Functional (dynamic) dimensions are taken in motion: reach envelopes and ranges of movement. They vary with age, sex, region and generation, so the data must come from the user population (Neufert's Architects' Data, Panero and Zelnik's Human Dimension and Interior Space, Dreyfuss's The Measure of Man). Tables give the mean, the standard deviation and percentiles: for a normal distribution P50 is the mean, P5 = μ − 1.645σ and P95 = μ + 1.645σ, and the 95th percentile means 95% of people are smaller.

Which percentile to design for
Design problemDesign forWhy
Clearance: headroom, door height, passage width, knee spacea large user, the 95th or 99th percentileif the large user fits, smaller users fit as well
Reach: the highest shelf, switch or lift buttona small user, the 5th percentileif the small user can reach it, larger users can too
Adjustable: seat height, desk, monitorthe range from the 5th to the 95th percentileit accommodates about 90% of users

Ergonomics (human factors) fits the task, equipment and environment to the people who use them. Its domains are physical (posture, load, reach), cognitive (information, controls, wayfinding) and organisational, and it covers the lighting, thermal, acoustic and air environment. Applications: seat height near the user's popliteal height, and seat depth shorter than the buttock–popliteal length so that the edge does not press behind the knee; desk height set from the seated elbow height, with knee clearance for large users; a kitchen work triangle linking sink, cooker and refrigerator that is compact and free of through traffic; reach zones, with the normal work area inside the forearm sweep and the maximum area inside the full-arm sweep; heavy work below elbow height and fine work at or above it. Proxemics (E. T. Hall) names interpersonal distances: intimate (up to about 0.45 m), personal (to about 1.2 m), social (to about 3.6 m) and public (beyond).

Worked: for a group with mean stature 1650 mm and standard deviation 60 mm, P95 = 1650 + 1.645 × 60 = 1748.7 mm and P5 = 1650 − 98.7 = 1551.3 mm. Headroom and door heights are set from P95 plus an allowance for shoes, hair and movement, and switch and shelf heights from the reach of the P5 user.

⚠️ The average person is a poor design target
A dimension set at the mean suits only a thin slice of users at the centre of the range: a door set at the mean stature would strike the head of about half of them. Pick the percentile by the problem: large for clearance, small for reach, a range where adjustment is possible. The 95th percentile is not 95% of the mean value; it is the value that 95% of the group falls below.

9. Universal design and the barrier-free environment

Barrier-free (accessible) design removes the physical, sensory and informational barriers that stop persons with disabilities and elderly people from using buildings and open spaces, and it works from standards for specific needs. Universal design, a term associated with Ronald Mace, goes further: it designs environments to be usable by all people, to the greatest extent possible, without adaptation or specialised design. The aim is one solution for everyone, such as a step-free main entrance that every visitor uses, in place of a separate disabled entrance.

  • The seven principles of universal design: equitable use, flexibility in use, simple and intuitive use, perceptible information, tolerance for error, low physical effort, and size and space for approach and use.
  • The Rights of Persons with Disabilities Act, 2016, which replaced the 1995 Act, makes accessibility a right and ties the approval of building plans and the retrofitting of existing public buildings to accessibility rules.
  • The Accessible India Campaign (Sugamya Bharat Abhiyan, 2015) set targets for built environments, transport and information. The technical provisions are in the Harmonised Guidelines and Standards for Universal Accessibility in India (Ministry of Housing and Urban Affairs, 2021, building on the 2016 guidelines) and in the National Building Code of India, 2016.
Barriers and design responses
UsersDesign response
Wheelchair users and others with limited mobilitystep-free entry, ramps no steeper than 1 : 12 with level landings and handrails on both sides, wide clear doors, lifts, a turning space of about 1.5 m diameter, accessible toilets with grab bars, lowered counters
Persons with visual impairmenttactile paving (guiding and warning), strong colour and luminance contrast, Braille and audible signs, lift voice announcements, paths free of projecting objects
Persons with hearing impairmentvisual alarms, induction loops, good acoustics, clear visual signage
Elderly people, children and persons with cognitive impairmentsimple wayfinding, non-slip floors, good lighting, resting places, handrails at suitable heights

The common thread is a continuous accessible path of travel from the site entrance and parking to every public space, with no abrupt change of level, slip-resistant surfaces, tactile warning at the head of stairs and at hazards, doors that open with one hand, and information given in more than one way (sight, sound, touch). Features must also be maintained, since a locked accessible lift or a blocked tactile path is as much a barrier as a missing one.

⚠️ Universal is not the same as barrier-free
A barrier-free retrofit often adds a special feature for a particular group, such as a rear ramp or a lift opened on request, and it can segregate. Universal design builds one solution that everyone uses, so no one is singled out. Remember too that 1 : 12 is the steepest permitted ramp gradient, not the recommended one: a gentler slope is better, and steps should still be offered beside long ramps for people who find slopes harder than stairs.

10. Building bye-laws, codes and standards

Building control in India works through a hierarchy. State town and country planning Acts empower the planning authority; the master plan and zoning set land use; development control regulations and building bye-laws, adopted by the municipal or development authority, are the statutory, enforceable rules, and a building permit is issued only if the plan complies. The National Building Code of India (NBC), published by the Bureau of Indian Standards (editions of 1970, 1983, 2005 and 2016), is a comprehensive model code: it is recommendatory until an authority adopts it in its bye-laws or a law makes it binding. The Town and Country Planning Organisation's Model Building Bye-Laws (2016) is a model for states and cities.

NBC 2016 is arranged in parts; for this heading the important ones are Part 3 (development control rules and general building requirements), Part 4 (fire and life safety) and Part 11 (approach to sustainability). Indian Standards (IS codes), also from the Bureau, give specifications and codes of practice for materials and design: IS 456 for plain and reinforced concrete, IS 875 for loads, IS 1893 for earthquake-resistant design and IS 13920 for ductile detailing of reinforced concrete. In short, bye-laws are the law of a place, a code such as the NBC is a body of recommended practice and a standard fixes the quality or method of a material or work.

Controls in building bye-laws
ControlMeaningRelation
Ground coveragefootprint at plinth level as a share of the plotcoverage = footprint ÷ plot area × 100
Floor area ratio (FAR or FSI)total covered floor area of all floors divided by plot areapermissible built-up area = FAR × plot area
Setbacks (open spaces)clear distances kept open between the building and the plot boundariesbuildable envelope = (width − side setbacks) × (depth − front and rear setbacks)
Height and storeyslimited by zone, road width, front setback and fire-fighting reachheight is tied to the width of the street and the open space in front

Bye-laws also fix the minimum areas, widths and heights of habitable rooms, kitchens and bathrooms, the light and ventilation openings, stair and exit widths, fire-safety measures, parking, accessibility provisions, sanitation and rainwater harvesting, and the extent to which projections such as chajjas and balconies may enter the setbacks. Worked: a plot of 20 m × 30 m with setbacks of 5 m front, 3 m rear and 2 m on each side has a buildable envelope of (20 − 4) × (30 − 8) = 16 × 22 = 352 m². If coverage is capped at 50% the footprint cannot exceed 0.5 × 600 = 300 m², and at FAR 1.5 the built-up area is 900 m², which is three floors of 300 m².

⚠️ Coverage is not FAR, and compliance is not quality
Coverage limits the footprint and FAR limits the total floor area, so with a fixed FAR more storeys mean a smaller footprint. Bye-laws set minimum legal standards: meeting them earns a permit but does not by itself make a good design. And the NBC is not law merely by being published; it binds where a bye-law or statute adopts it.

Key takeaways

  • Composition works through unity, balance (symmetrical, asymmetrical, radial), rhythm, contrast, hierarchy and a datum; asymmetrical balance is balance of visual weight. Form is read from the primary solids by dimensional, subtractive and additive change.
  • Golden section φ = 1.618 (0.618 L and 0.382 L), Fibonacci ratios tend to φ, √2 = 1.414 (A-series), Modulor red 113 and 183 cm and blue from 226 cm; proportion is internal, scale is external, and enclosure of a space rises as D/H falls.
  • Spaces are organised as centralised, linear, radial, clustered or grid, with served and servant spaces separated. A plan is a horizontal section; heights and levels come from the section; an elevation is named by the direction it faces.
  • Stairs: 2R + T ≈ 600 to 650 mm, treads = risers − 1, going = treads × T. Ramps: run = rise × n, no steeper than 1 : 12 for access, with landings. Exit width counts in 500 mm units, and lifts are not means of escape.
  • Design clearances for the large user (P95), reach for the small user (P5), adjustable items for P5 to P95; for a normal distribution P95 = μ + 1.645σ and P5 = μ − 1.645σ. Ergonomics fits task and setting to the person.
  • Universal design serves everyone with one solution (seven principles); barrier-free design removes barriers for specific groups. Bye-laws are enforceable, the NBC is a model code, IS codes are standards; coverage limits footprint and FAR limits floor area, with buildable envelope = plot minus setbacks.

Practice questions (18)

Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.

  1. A façade is not symmetrical about any axis, yet it looks balanced because a large, pale panel near the central axis is offset by a small, dark, richly textured block placed far from it. This is an example of

    1. symmetrical balance, achieved by two mirror-image halves about a central axis
    2. radial balance, with elements arranged around a single central point
    3. asymmetrical balance, based on equal visual weight rather than equal parts
    4. rhythm, produced by the regular repetition of one element along the façade
    Show answer

    Answer: C — asymmetrical balance, based on equal visual weight rather than equal parts

    Visual weight grows with size, dark tone, saturated colour, texture and distance from the axis, so a small dark mass far from the axis can balance a large pale one near it, as on a lever. Symmetrical balance would need mirror-image halves, which this façade lacks.
  2. A cube from which a corner volume has been cut away, yet which is still read as a cube, is an example of

    1. a subtractive transformation of a primary solid
    2. a dimensional transformation, since only the proportions are altered
    3. an additive transformation, since a new volume is attached to the original
    4. a radial organisation, since the masses are placed around a core
    Show answer

    Answer: A — a subtractive transformation of a primary solid

    Volume is removed from the parent form while enough of it remains for the cube to be recognised, which defines a subtractive transformation. A dimensional change would alter the proportions of the whole without removing a part, and an additive change would attach volume.
  3. In Le Corbusier's Modulor, the red series runs 27, 43, 70, 113 (cm). Following the same additive rule, the next term is closest to

    1. 156 cm
    2. 226 cm
    3. 140 cm
    4. 183 cm
    Show answer

    Answer: D — 183 cm

    Each term is the sum of the two before it, so the next is 70 + 113 = 183 cm, and 183/113 = 1.62 is close to the golden ratio. The value 226 cm is twice 113, the raised-arm height that starts the blue series; 156 cm results from adding 43 and 113, skipping a term; and 140 cm is a blue-series term.
  4. The buildings enclosing a street of fixed width are made taller, so that the ratio D/H of street width to building height falls from 4 to 1. The sense of enclosure

    1. weakens, because taller walls make the street feel more open to the sky
    2. strengthens, because relatively taller walls subtend a larger angle at the eye
    3. is unchanged, because scale depends only on the proportions of the façade
    4. disappears, since enclosure needs a roof or an overhead plane
    Show answer

    Answer: B — strengthens, because relatively taller walls subtend a larger angle at the eye

    The eye angle to the top of the opposite wall is tan⁻¹(H/D): about 14° at D/H = 4 and 45° at D/H = 1. A larger angle means stronger enclosure, so lowering D/H strengthens it. Enclosure needs no roof; the walls alone create it.
  5. A primary school has its classrooms strung one after another along a single covered path, with room to add more at either end. Its spatial organisation is

    1. clustered, with spaces grouped by proximity and no fixed geometry
    2. radial, with linear arms reaching out from a central core
    3. linear, with spaces in a row along a path
    4. centralised, with secondary spaces around one dominant space
    Show answer

    Answer: C — linear, with spaces in a row along a path

    Spaces strung along a path and extendable at its ends form a linear organisation. A radial scheme needs a core with several arms, a centralised one a dominant central space, and a clustered one has no governing path or geometry, which is the tempting confusion.
  6. To check the floor-to-floor height, the headroom of the staircase and the plinth level of a building, the drawing that must be consulted is

    1. a section taken vertically through the staircase
    2. the ground-floor plan, drawn at the scale of the staircase
    3. the site plan, showing setbacks and the plot boundaries
    4. the north elevation, showing the openings of the façade
    Show answer

    Answer: A — a section taken vertically through the staircase

    Heights and levels are vertical information and appear only in a vertical cut, so the section through the stair gives floor-to-floor height, headroom and plinth level together. A plan shows layout but not heights, and an elevation shows outside heights but not the internal stair.
  7. A dog-legged stair rises 3.3 m between floors with 165 mm risers and is divided into two equal flights by a mid-landing. The number of treads in each flight is

    1. 8
    2. 9
    3. 10
    4. 11
    Show answer

    Answer: B — 9

    The total number of risers is 3300/165 = 20, so each flight has 10 risers. In a flight, the landing or floor above forms the last tread, so treads = risers − 1 = 9. Ten treads would be the error of counting as many treads as risers.
  8. The highest operable switch in a public building is to be located so that most users, including small adults, can reach it. Its height should be based on the reach of

    1. the mean user, since the average gives the fairest compromise
    2. a large user, at about the 95th percentile, so the switch is easy to see
    3. a user at the 99th percentile, to prevent accidental use by children
    4. a small user, at about the 5th percentile
    Show answer

    Answer: D — a small user, at about the 5th percentile

    For a reach dimension the limiting person is the one with the shortest reach: if the small user can reach the switch, everyone taller can too. Designing to the mean leaves the smaller half unable to reach it, and a large-user value suits clearances such as door height, not reach.
  9. Which design choice best illustrates the universal-design approach, as opposed to a barrier-free retrofit?

    1. A separate ramped side entrance with a bell for wheelchair users to call the staff
    2. A lift reserved for persons with disabilities, kept locked and opened on request
    3. A single step-free main entrance with a wide automatic door that every visitor uses
    4. An accessible toilet on the ground floor only, marked with a sign as a special facility
    Show answer

    Answer: C — A single step-free main entrance with a wide automatic door that every visitor uses

    Universal design builds one solution that serves everyone, so nobody is singled out: the step-free main door is used by all. The other choices are special, separate or on-request provisions, which are barrier-free retrofits and can segregate the very users they serve.
  10. Which statement about the National Building Code of India is correct?

    1. It is a Union law that applies automatically to every building in every state, without any local adoption
    2. It is a model code of the Bureau of Indian Standards, enforceable where bye-laws adopt it
    3. It is issued separately by each municipal corporation, and no national version of the code exists
    4. It replaces all the Indian Standards, which are withdrawn once the code has been published
    Show answer

    Answer: B — It is a model code of the Bureau of Indian Standards, enforceable where bye-laws adopt it

    The NBC is a national model code from the Bureau of Indian Standards. It is recommendatory until adopted by a local authority's bye-laws or made binding by law. It does not replace the IS codes, which it draws on and refers to, and it is not issued city by city.
  11. A straight flight must rise 3.3 m between two floors in 20 equal risers of 165 mm. The tread is chosen to satisfy 2R + T = 600 mm. The total horizontal length (going) of the flight, in mm, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 5130

    From 2R + T = 600 with R = 165, the tread is T = 600 − 330 = 270 mm. A flight of 20 risers has 20 − 1 = 19 treads, so going = 19 × 270 = 5130 mm. Using 20 treads would give 5400 mm, the usual slip.
  12. A building entrance is 0.75 m above the ground. A ramp at a gradient of 1 in 12 serves it, with one level landing 1.5 m long in the middle of its run. The total horizontal length of the ramp, including the landing, in m to one decimal place, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 10.5

    The sloping parts must rise 0.75 m at 1 in 12, so their run is 0.75 × 12 = 9.0 m. The level landing rises nothing and only adds its own 1.5 m: total = 9.0 + 1.5 = 10.5 m. Ignoring the landing gives 9.0 m, and measuring along the slope gives 9.03 m for the sloping part alone.
  13. Adult stature in a user group is normally distributed with mean 1650 mm and standard deviation 60 mm. A doorway's clear head height is set at the 95th percentile stature (z = 1.645) plus a 100 mm allowance. The clear height, in mm to one decimal place, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 1848.7

    P95 = μ + zσ = 1650 + 1.645 × 60 = 1650 + 98.7 = 1748.7 mm. Adding the 100 mm allowance gives 1848.7 mm. The 5th percentile, 1551.3 mm, would suit a reach dimension, not headroom, and the mean 1650 mm would strike the head of about half the users.
  14. A wall 10 m long is divided in the golden section. The length of the larger part, in m to two decimal places, is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 6.18

    In the golden section the whole is to the larger part as the larger is to the smaller, so the larger part = L/φ = 10/1.618 = 6.18 m, which is 0.618 L, and the smaller part is 3.82 m. Using 1.618 × 10 = 16.18 m confuses the ratio with its reciprocal.
  15. A plot measures 20 m × 30 m. The bye-laws require setbacks of 5 m at the front, 3 m at the rear and 2 m on each side. The area available for building, the buildable envelope, in m², is ____.

    Numerical answer — type the value.

    Show answer

    Answer: 352

    The width available is 20 − 2 − 2 = 16 m and the depth available is 30 − 5 − 3 = 22 m, so the envelope is 16 × 22 = 352 m². Subtracting each setback as an area strip from 600 m² double-counts the corners, and the plot area itself, 600 m², is not buildable.
  16. Which of the following are among the seven principles of universal design?

    1. Equitable use
    2. Tolerance for error
    3. Low physical effort
    4. Visual uniformity of every building element
    Show answer

    Answer: A — Equitable use; B — Tolerance for error; C — Low physical effort

    Equitable use, tolerance for error and low physical effort are three of the seven principles, the others being flexibility in use, simple and intuitive use, perceptible information, and size and space for approach and use. Visual uniformity of elements is an aesthetic idea and is not a principle of universal design.
  17. Which of the following statements about proportion systems are correct?

    1. Removing a square from a golden rectangle leaves a smaller rectangle of the same proportion
    2. The golden ratio is about 1.414, the same as the diagonal-to-side ratio of a square
    3. Halving a root-two rectangle across its longer side gives two rectangles of the same proportion
    4. The ratio of successive Fibonacci numbers equals the golden ratio exactly from the third term onwards
    Show answer

    Answer: A — Removing a square from a golden rectangle leaves a smaller rectangle of the same proportion; C — Halving a root-two rectangle across its longer side gives two rectangles of the same proportion

    The golden rectangle loses a square and keeps its shape, and a √2 rectangle halves into two similar √2 rectangles, which is why the A-series works. The golden ratio is 1.618, not 1.414, and Fibonacci ratios only approach it, for example 8/5 = 1.6 and 13/8 = 1.625, never reaching it.
  18. Which of the following are normally controlled by building bye-laws?

    1. The minimum setbacks from the plot boundaries
    2. The maximum ground coverage and floor area ratio
    3. The minimum widths of staircases and exits
    4. The colour scheme of the interiors and the owner's choice of loose furniture
    Show answer

    Answer: A — The minimum setbacks from the plot boundaries; B — The maximum ground coverage and floor area ratio; C — The minimum widths of staircases and exits

    Setbacks, coverage, FAR and the widths of stairs and exits are all statutory development and safety controls in bye-laws. The colour scheme of the interiors and the owner's loose furniture are matters of personal choice that bye-laws do not regulate.