Pancyprian Mechanics & Construction study plan
Pancyprian Mechanics & Construction · Give each week a clear focus.
8 weeks · About 6 hours per week
Engineering Mechanics (statics and dynamics)
Solve 25 two-dimensional particle and rigid-body equilibrium problems (beams, frames, cables) without notes, then re-solve every error until each is correct in under 6 minutes
Derive support reactions for cantilever, simply supported and overhanging beams carrying point loads, uniformly distributed loads and moments, and check each answer by a second equilibrium equation
Compute centroids and second moments of area for five standard and three composite sections, tabulating the parallel-axis step explicitly
Build a one-page formula sheet for friction, truss method of joints and method of sections, and use it to solve 10 truss member-force problems
Your checkpoint
A bound notebook of 40 fully worked statics problems with free-body diagrams, plus a checked one-page formula sheet
Engineering Mechanics (statics and dynamics)
Solve 20 kinematics problems covering constant acceleration, projectile motion and relative velocity, showing the coordinate system chosen for each
Apply Newton's second law and work-energy or impulse-momentum methods to 15 dynamics problems, stating which principle was chosen and why
Analyse simple harmonic motion of a mass-spring system and compute period, frequency and amplitude for three variants
Write out the assumptions behind rigid-body dynamics and identify, in five given problems, where each assumption would fail
Your checkpoint
A 20-question self-made dynamics quiz with worked solutions and a scored attempt at or above 80 percent
Strength of Materials and Structural Analysis
Draw axial force, shear force and bending moment diagrams for 15 beams including overhangs and internal hinges, with values annotated at every critical point
Compute normal and shear stress distributions across rectangular, I-section and circular sections and locate the maximum stress on each diagram
Calculate beam deflections for three standard load cases using the double-integration and Macaulay methods, and verify one result against a moment-area check
State and apply the parallel-axis theorem, section modulus and radius of gyration to six cross-sections
Your checkpoint
A set of 15 shear-moment diagrams with matching stress and deflection calculations, each cross-checked by a second method
Strength of Materials and Structural Analysis
Classify ten structures as determinate, indeterminate or unstable, and compute degrees of indeterminacy using the standard counting rules
Analyse three statically indeterminate beams by the force method and three by slope-deflection, comparing results
Compute buckling loads for four columns using Euler theory across different end-fixity conditions, and apply the slenderness limit to decide when Euler theory is valid
Solve five plane trusses by the stiffness or displacement method and check joint equilibrium at two nodes
Your checkpoint
A timed 90-minute mock section of 12 structural analysis problems, marked against worked solutions, with a written error log
Construction Materials and Technology & Construction Drawing, Surveying and Measurement
Tabulate the composition, grading, curing, strength class and typical use of concrete, mortar, steel reinforcement, timber, masonry and bituminous materials, citing the relevant standard designation for each
Describe the concrete mix-design steps and the slump, cube and cover tests, and explain what each test result implies for acceptance
Read a set of simple plan, section and elevation drawings and extract dimensions, levels, hatching conventions and reinforcement callouts
Carry out leveling reductions by the height-of-instrument and rise-and-fall methods for a 12-station closed traverse, and compute the misclosure
Take off quantities for a small building element (concrete, formwork, reinforcement, masonry) from given dimensions and prepare a measured bill
Your checkpoint
A complete take-off and leveling booklet for one small element, with a materials specification table and computed misclosure within tolerance
Building Services and Environmental Systems & Health, Safety and Site Organization
Size and describe cold and hot water supply, drainage and soil-vent systems for a two-storey building, stating pipe sizes and gradients with justification
Explain the principles of natural and mechanical ventilation, daylighting and artificial lighting design, and compute a simple heat-loss estimate for one room
Outline electrical distribution from supply intake to final circuit, including earthing, protection and residual current devices
Identify the hazards in a given site scenario and select control measures following the hierarchy of control, naming the responsible duty holder for each
Prepare a site layout and phasing sketch showing access, storage, welfare facilities, scaffolding zones and waste segregation
Your checkpoint
A two-page building-services and site-safety package: schematic service diagrams, a hazard register with controls, and a site layout sketch
Technical Legislation, Standards and Contracts & Project Costing, Estimating and Quality Control
Summarise the contract types (lump sum, measurement, design-and-build, cost-plus) and match each to a suitable project scenario with reasons
List the standard tender and contract documents, the roles of employer, engineer, contractor and quantity surveyor, and the notice and variation procedures
Explain the purpose and structure of bills of quantities, and build a priced estimate for a small works package including labour, plant, material, overheads and profit
Describe quality-control procedures: inspection and test plans, hold points, non-conformance reports and handover documentation
Answer 20 short legislation and standards questions from memory, then correct them from source notes
Your checkpoint
A priced estimate with a one-page contract-strategy memo and a completed inspection and test plan template
Engineering Mechanics (statics and dynamics) & Strength of Materials and Structural Analysis & Construction Materials and Technology & Construction Drawing, Surveying and Measurement & Building Services and Environmental Systems & Health, Safety and Site Organization & Technical Legislation, Standards and Contracts & Project Costing, Estimating and Quality Control
Sit two full-length timed mock exams under exam conditions and mark them strictly against worked solutions
Rank every incorrect answer by domain and re-study only the two weakest domains to a depth of at least 10 new worked problems each
Re-derive the 30 formulas most often used across mechanics, strength of materials and surveying from memory in under 30 minutes
Compile a one-page exam-day strategy covering time allocation per section, question order, and the check to perform before moving on
Your checkpoint
Two marked mock exams with a domain-by-domain score sheet, a corrected error log, and a final one-page formula and strategy sheet
Milestones
Week 2: Complete 60 mechanics problems in total and score at least 75 percent on a self-made 20-question mixed statics and dynamics quiz without notes
Week 4: Produce correct shear-moment diagrams and deflection values for all 15 beams, and score at least 70 percent on the timed 90-minute structural analysis mock
Week 6: Submit the complete take-off and leveling booklet with misclosure within tolerance, and the services and safety package with a hazard register covering at least 10 identified hazards
Week 8: Score at least 70 percent overall on both full mock exams, with no single domain below 60 percent and a written remediation plan for the two weakest domains