UNIT 5: Cost Effective & ECO-Friendly Structures
1.0 Irrigation and Water Resources Engineering
1.1 Fundamentals of Irrigation
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Necessity: Supplement rainfall, ensure food security, stabilize yields, enable multiple cropping.
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Advantages: Increased yield, drought protection, groundwater recharge, socio-economic development.
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Disadvantages: Waterlogging, salinity, high initial/operational cost, environmental degradation (e.g., habitat loss).
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Comparison of Irrigation Methods:
| Method | Suitability | Water Use Efficiency | Cost (Relative) | Environmental Impact |
|---|---|---|---|---|
| Surface (e.g., furrow, basin) | Flat lands, low slope, low-value crops | Low (30–50%) | Very low | High evaporation, soil erosion, waterlogging risk |
| Sprinkler | Uneven terrain, sandy soils, frost protection | Medium (60–75%) | Medium | Wind drift, evaporation losses, energy use |
| Drip | High-value crops, arid regions, orchards | High (90–95%) | High | Minimal evaporation, fertigation possible, reduces salinity |
| Subsurface | Water conservation, salinity control, high-value crops | Very high | Very high | Reduces evaporation, suppresses weeds, but installation complex |
[!TIP] Exam focus: Compare methods with emphasis on cost-effectiveness (drip has high upfront but saves water/energy long-term) and eco-friendliness (drip/subsurface minimize evaporation and leaching).
1.2 Soil-Water-Plant Relationships
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Field Capacity (FC): Soil water content after free drainage; $$\displaystyle \theta_{FC} $$ (volumetric %).
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Permanent Wilting Point (PWP): Water content at which plants wilt permanently; $$\displaystyle \theta_{PWP} $$.
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Available Soil Moisture (ASM): $$\displaystyle \theta_{FC} - \theta_{PWP} $$.
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Consumptive Use (CU): Water evaporated from soil + transpired by plants.
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Direct methods: Soil moisture depletion, lysimeters.
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Indirect methods: Blaney-Criddle ($$\displaystyle CU = K \cdot f \cdot T $$), Penman-Monteith.
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Irrigation Scheduling:
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Irrigation interval (days): $$\displaystyle T = \frac{\text{ASM} \times D_r}{\text{Daily CU}} $$
where $$\displaystyle D_r $$ = effective root zone depth (cm).
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Irrigation depth (cm): $$\displaystyle d = \frac{\text{ASM} \times D_r}{\eta} $$
where $\eta$ = field efficiency.
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[!TIP] Numerical: Convert ASM from % to cm using soil bulk density: $$\displaystyle \text{ASM (cm)} = \frac{(\theta_{FC} - \theta_{PWP}) \times D_r \times \rho_b}{100} $$.
1.3 Duty, Delta, and Base Period
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Duty (D): Area irrigated per unit discharge (hectares/cumec).
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Delta (Δ): Depth of water applied (cm).
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Base Period (B): Duration of irrigation for a crop (days).
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Relationship:
$$ \boxed{D = \frac{8.64 \times B}{\Delta}} \quad \text{or} \quad \boxed{\Delta = \frac{8.64 \times B}{D}} $$
where 8.64 converts cumec-days to hectare-cm ($$\displaystyle 86400 \text{ m}^3/\text{day} = 8.64 \text{ ha-cm} $$).
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Factors Affecting Duty: Crop type, soil, climate, irrigation method, canal losses, efficiency.
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Improving Duty:
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Use efficient methods (drip/sprinkler).
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Canal lining to reduce seepage.
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Improve irrigation scheduling.
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Reduce distribution losses.
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[!TIP] Derivation: Volume of water supplied = $$\displaystyle Q \times B \times 86400 \text{ m}^3 $$. Area irrigated = $$\displaystyle D \times 10^4 \text{ m}^2 $$. Depth applied = $\Delta/100 \text{ m}$. Equate: $$\displaystyle Q B 86400 = D \times 10^4 \times \Delta/100 $$.
1.4 Waterlogging and Salinity
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Waterlogging:
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Causes: Over-irrigation, poor drainage, high water table, canal seepage.
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Effects: Reduced soil aeration, yield decline, soil structure deterioration.
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Prevention: Provide drainage (surface/subsurface), controlled irrigation, land leveling.
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Salinity and Salt Efflorescence:
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Salt efflorescence: White crust on soil surface due to capillary rise and evaporation.
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Reclamation strategies:
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Leaching: Apply excess water to flush salts.
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Drainage: Lower water table.
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Chemical: Gypsum for sodic soils.
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Agronomic: Salt-tolerant crops, mulching.
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[!TIP] Link: Waterlogging raises water table → capillary rise → salt accumulation → salinity.
1.5 Groundwater Engineering
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Aquifers:
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Unconfined: Water table free surface; recharge from top.
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Confined: Between impermeable layers; artesian pressure.
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Perched: Localized above main water table.
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Properties:
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Porosity (n): $$\displaystyle n = V_v / V_t $$ (total voids fraction).
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Specific Yield (S_y): Volume of water drained/unit area (effective porosity).
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Permeability (K): From Darcy’s law: $$\displaystyle Q = K i A $$.
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Wells:
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Open dug well: Large diameter, shallow aquifers.
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Tube well: Deep, small diameter, strainers.
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Artesian well: Confined aquifer, water flows up.
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Well Discharge (Dupuit-Thiem for unconfined):
$$ Q = \frac{\pi K (h_1^2 - h_2^2)}{\ln(r_2/r_1)} $$
where $h$ = drawdown (m), $r$ = radius (m).
For confined: $$\displaystyle Q = \frac{2\pi K m (s_1 - s_2)}{\ln(r_2/r_1)} $$, $m$ = aquifer thickness.
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Groundwater Recharge:
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Natural: Infiltration from precipitation, rivers.
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Artificial:
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Check dams: Slow runoff, increase infiltration.
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Infiltration galleries: Horizontal tunnels below water table.
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Percolation ponds: Store surface water for recharge.
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[!TIP] For well problems: Identify aquifer type; use appropriate equation. Artesian wells have $h$ = pressure head + depth.
1.6 Hydrology
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Hydrological Cycle:
DiagramSEARCH: hydrological cycle diagram labeled evaporation condensation precipitation infiltration runoff groundwater storage -
Precipitation Measurement:
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Rain gauges:
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Non-recording: Symons gauge (manual measurement).
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Recording: Tipping bucket, weighing gauge (continuous record).
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Mean Precipitation:
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Arithmetic mean: $$\displaystyle \bar{P} = \frac{\sum P_i}{n} $$ (for uniform distribution).
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Thiessen polygon: Weighted by area: $$\displaystyle \bar{P} = \frac{\sum (P_i \cdot A_i)}{\sum A_i} $$.
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Infiltration:
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Definition: Entry of water into soil.
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Factors: Soil texture, structure, slope, vegetation, initial moisture, land use.
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Indices:
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φ-index: Constant infiltration rate for storms where duration > $\phi$; $$\displaystyle \phi = \frac{P - R}{t_r} $$ (excess rainfall).
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W-index: Weighted average for entire storm: $$\displaystyle W = \frac{P - R}{t_b} $$.
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Runoff and Hydrographs:
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Unit Hydrograph (UH): Direct runoff hydrograph from 1 cm excess rainfall over basin in unit time.
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Derivation from runoff hydrograph:
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Separate baseflow (e.g., straight-line method).
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Compute excess rainfall = total rain – losses.
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Scale direct runoff to 1 cm.
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S-curve method: Convolve $t$-hour UH to get $n \cdot t$-hour UH.
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Flood Analysis:
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Flood frequency: Gumbel (Type I), Log-Pearson Type III.
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Design discharge: $$\displaystyle Q_T = \bar{Q} + K_T \cdot S $$ (where $$\displaystyle K_T $$ from frequency factor).
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Flood control measures: Reservoirs (storage), levees (conveyance), channel improvement, detention basins.
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[!TIP] S-curve: Sum of time-shifted UHs. For $n$-hour UH from $t$-hour UH, divide S-curve ordinates by $n/t$.
1.7 Canal Design and Management
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Classification:
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By function: Main canal, branch canal, distributary, field channel.
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By discharge: Major (>100 m³/s), medium (10–100 m³/s), minor (<10 m³/s).
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By network: Primary, secondary, tertiary.
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Design Theories:
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Kennedy’s regime theory:
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Assumptions: Uniform flow, silt in suspension, critical velocity.
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Critical velocity: $$\displaystyle V_c = 0.55 m^{1/2} D^{1/6} $$ (m/s).
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Drawbacks: No side slope, empirical, ignores silt grade.
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Lacey’s regime theory:
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Silt factor: $$\displaystyle f = 1.76 \sqrt{d_{50}} $$ (mm) where $$\displaystyle d_{50} $$ = median silt size.
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Perimeter: $$\displaystyle P = 4.75 \sqrt{Q} $$ (m).
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Area: $$\displaystyle A = \frac{Q}{V} $$, with $$\displaystyle V = \frac{Q}{A} $$ and $$\displaystyle R = A/P $$.
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Slope: $$\displaystyle S = \frac{f^2}{1400 R} $$.
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Side slopes: 1:1 for $$\displaystyle Q < 30 $$ m³/s, 1.5:1 for larger.
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Canal Lining:
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Importance: Reduce seepage (60–90% loss), increase velocity, prevent weed growth, reduce maintenance.
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Materials: Concrete, masonry, geomembranes, shotcrete, soil cement.
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Eco-friendly linings: Use fly ash in concrete, geosynthetic clay liners, permeable linings for recharge.
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Cost-benefit: Compare lining cost vs water saved over design life.
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Canal Alignment: Factors: topography, soil stability, drainage crossings, command area, cost, environmental sensitivity.
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Hydraulic Structures:
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Weirs: Measure flow, raise water level (sharp-crested, broad-crested).
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Barrages: Control flow, diversion (gated).
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Aqueducts: Carry canal over drain (cross-drainage).
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Regulation structures: Gates, escapes (safety), outlets (distribution).
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[!TIP] Lacey’s design: Given $Q$, find $f$ from $$\displaystyle d_{50} $$, then $$\displaystyle P = 4.75\sqrt{Q} $$, assume side slope, compute $A$ from $$\displaystyle A = \frac{P^2}{(1+m^2)^{1/2} + m} $$? Actually, for trapezoidal: $$\displaystyle A = (b + mh)h $$, $$\displaystyle P = b + 2h\sqrt{1+m^2} $$. Iterate with $$\displaystyle R = A/P $$, $$\displaystyle S = f^2/(1400 R) $$, and Manning’s $$\displaystyle V = \frac{1}{N} R^{2/3} S^{1/2} $$.
1.8 Cross-Drainage and Flood Control
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Cross-Drainage Works:
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Aqueduct: Canal over drain (common).
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Syphon: Canal under drain (pressure flow).
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Super passage: Drain over canal.
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Selection factors: Relative levels, discharges, cost, maintenance, sedimentation.
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Flood Control:
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Reservoir operation: Store flood peaks, release gradually (rule curve).
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Channel improvement: Enlarge section, smooth lining, shorten length.
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Non-structural: Flood forecasting, zoning, insurance.
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2.0 Pavement Design (Flexible and Rigid)
2.1 Pavement Fundamentals
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Structural Requirements: Adequate strength to distribute loads, resist deformation (rutting, cracking).
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Functional Requirements: Smoothness, safety, drainage, durability, noise reduction.
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Design Factors:
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Load: Wheel load, ESWL, traffic repetitions (ESALs).
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Climatic: Temperature (binder softening, thermal cracking), moisture (pumping, frost heave).
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Material: Properties of each layer (modulus, strength).
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Subgrade: CBR, R-value, resilient modulus.
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Environmental: Drainage, frost susceptibility, drainage coefficient.
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2.2 Flexible Pavements
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Subgrade Strength Assessment:
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CBR test:
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Procedure: Soak sample 96 hrs, penetrate at 1.25 mm/min, measure load at 2.5 mm and 5 mm.
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CBR (%): $$\displaystyle \text{CBR} = \frac{\text{Load at penetration}}{\text{Standard load}} \times 100 $$ (at 2.5 mm or 5 mm, whichever higher).
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Limitations: Does not simulate repeated loading, moisture sensitive, static test.
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Other tests: R-value (stiffness, used in California), resilient modulus (dynamic, for AASHTO).
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Equivalent Single Wheel Load (ESWL):
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Concept: Replace multiple wheels by single wheel with equal vertical stress at critical depth.
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Equal vertical stress criterion:
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$$ \text{ESWL} = P \left( \frac{d}{d_s} \right)^2 $$
for equal stress at depth $$\displaystyle d_s $$, where $P$ = load on single wheel, $d$ = spacing.
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EASL vs Design EASL:
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EASL: Existing traffic converted to standard axle loads.
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Design EASL: Includes traffic growth factor, lane distribution factor, vehicle factor.
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Design Methods:
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IRC method (India):
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Estimate traffic (cumulative ESALs).
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Assess subgrade strength (CBR).
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Select material properties.
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Determine layer thickness from IRC charts/tables based on CBR and ESALs.
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Check drainage, frost.
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AASHTO 1993 method:
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Inputs: ESALs, subgrade resilient modulus, reliability, standard deviation, serviceability.
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Output: Structural number (SN).
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Limitations: Empirical, US-specific, not directly valid for Indian conditions.
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Climatic Effects:
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Temperature: High → binder softening → rutting; low → thermal cracking.
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Moisture: Weakens subgrade, causes pumping (under rigid pavements).
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Frost action: Frost heave (volume increase), thaw weakening (loss of strength).
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Overlay Design using Benkelman Beam Deflection (BBD):
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Measure initial deflection (BBD) at representative points.
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Apply overlay, measure rebound deflection.
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Compute existing pavement deficiency: $$\displaystyle \Delta_{deficiency} = \Delta_{allowable} - \Delta_{rebound} $$.
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Overlay thickness = $$\displaystyle \Delta_{deficiency} \times \text{factors based on overlay material and existing layers} $$.
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Pavement Composition:
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Subgrade: Natural soil, compacted to required density.
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Sub-base: Drainage, separation, lower cost material (e.g., GSB).
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Base: Structural support, distribute loads (e.g., WBM, BM, DBM).
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Surface course: Wear resistance, smoothness (e.g., BC, DBC).
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[!TIP] For ESWL with multiple wheels, use equal stress criterion at depth equal to spacing between wheels to find equivalent single load.
2.3 Rigid Pavements
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Westergaard’s Stress Analysis:
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Assumptions: Slab on elastic foundation, infinite slab, load as circular area, no slab deflection.
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Key equations (load stresses):
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Interior: $$\displaystyle \sigma_e = \frac{0.316 P}{h^2} \left( \log \frac{E}{K} + 1.069 \right) $$
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Edge: $$\displaystyle \sigma_e = \frac{0.572 P}{h^2} \left( \log \frac{E}{K} + 0.359 \right) $$
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Corner: $$\displaystyle \sigma_c = \frac{3 P}{h^2} \left( 1 - \frac{a \sqrt{K}}{E} \right) $$
where $P$ = load (kg), $h$ = slab thickness (cm), $E$ = modulus of elasticity (kg/cm²), $K$ = modulus of subgrade reaction (kg/cm³), $a$ = radius of loaded area (cm).
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Radius of relative stiffness:
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$$ l = \left( \frac{E h^3}{12 K (1-\mu^2)} \right)^{1/4} \text{ (cm)} $$
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Stresses in Concrete Slabs:
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Traffic load stresses: Critical at edge.
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Frictional stresses: $$\displaystyle \sigma_f = \frac{C f L}{2} $$ (due to friction at base), $C$ = coefficient (1.0 for edge, 0.5 for interior), $f$ = coefficient of friction, $L$ = slab length.
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Warping stresses: Due to temperature gradient $\Delta T$ (top–bottom).
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Day: Top cooler → bottom in tension.
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Night: Top warmer → top in tension.
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Formulas (Westergaard):
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Interior: $$\displaystyle \sigma_t = \frac{E \alpha \Delta T h}{2l} $$
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Edge: $$\displaystyle \sigma_t = \frac{3 E \alpha \Delta T h}{4l} $$
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Corner: $$\displaystyle \sigma_t = \frac{3 E \alpha \Delta T h}{8l} $$
where $\alpha$ = thermal coefficient, $l$ = radius of relative stiffness.
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Thermal stresses: Due to seasonal expansion/contraction, restrained by friction.
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Critical Stress Combinations:
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Edge load + warping (day): Edge load stress + warping stress (both tensile).
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Corner load + warping (night): Corner load stress + warping stress.
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Pavement Joints:
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Transverse joints:
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Expansion joints: Allow expansion (width 1–2 cm, spacing 50–100 m).
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Contraction joints: Control cracking (spacing 3–5 m).
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Construction joints: For cold joints.
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Longitudinal joints: For lane separation (tied or keyed).
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Joint Materials:
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Fillers: Compressible (foam, cork) – allow movement.
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Sealing compounds: Elastomeric (silicone, polysulfide) – prevent debris/water ingress.
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Tie Bars:
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Purpose: Hold longitudinal joints together, prevent separation.
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Design:
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Diameter: Based on friction force: $$\displaystyle A_s = \frac{\mu \gamma h s}{f_s} $$
where $\mu$ = friction coefficient, $\gamma$ = unit weight, $h$ = thickness, $s$ = spacing, $$\displaystyle f_s $$ = allowable stress.
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Length: Development length + embedment (≥ 40 cm).
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Installation difficulties: Misalignment, inadequate concrete cover, corrosion, bond failure.
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Modulus of Subgrade Reaction (k): Pressure per unit deflection (kg/cm³).
Radius of Relative Stiffness (l): Indicates slab stiffness relative to foundation; larger $l$ means slab behaves as rigid plate.
[!TIP] Warping stress formula: $$\displaystyle \sigma_t = \frac{E \alpha \Delta T h}{2l} $$ for interior. Note $\Delta T$ is temperature difference across slab thickness (top minus bottom). If gradient given (e.g., °C/cm), $$\displaystyle \Delta T = \text{gradient} \times h $$.
2.4 Materials and Testing
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Road Aggregates Tests:
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Abrasion: Los Angeles abrasion (wear %).
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Impact: Aggregate impact test (%).
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Crushing: Aggregate crushing value (%).
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Soundness: Sodium/magnesium sulfate test (loss %).
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Concrete Properties:
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Modulus of elasticity: $$\displaystyle E_c = 5000 \sqrt{f_{ck}} $$ MPa (IS 456).
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Poisson’s ratio: $$\displaystyle \mu = 0.15 $$–0.20.
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Thermal coefficient: $$\displaystyle \alpha = 10 \times 10^{-6} $$–$$\displaystyle 13 \times 10^{-6} $$ /°C.
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2.5 Cost and Eco-Aspects in Pavements
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Recycled Materials:
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RAP (Reclaimed Asphalt Pavement): Reduces virgin binder, cost savings 20–30%, lowers energy use.
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RCA (Recycled Concrete Aggregate): Sub-base/base, reduces landfill.
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Fly ash: Partial cement replacement (15–30%), improves workability, reduces CO₂.
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Life-Cycle Cost Analysis (LCCA): Compare alternatives over analysis period (discount future costs). Includes initial cost, maintenance, rehabilitation, user costs.
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Low-Impact Development (LID): Permeable pavements, bioswales, rain gardens – reduce runoff, recharge groundwater, mitigate urban heat island.
[!TIP] Eco-friendly pavements: Use warm-mix asphalt (lower production temp), recycled materials, pervious concrete for stormwater management.
3.0 Prefabricated and Modular Construction
3.1 Introduction to Prefabrication
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Need: Labor shortage, speed, quality control, site constraints (urban areas), sustainability.
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Advantages: Faster construction (30–50% time saving), better quality (factory control), less waste, weather independent, reduced site disturbance.
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Disadvantages: Transportation cost/logistics, joint detailing, design flexibility limited, higher initial investment.
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Systems of Prefabrication:
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Panel system: Wall/floor panels assembled on-site.
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Cellular system: 3D modules (rooms) with finishes.
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Volumetric system: Fully finished boxes.
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Tubular system: Structural frames (steel/timber).
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Box prefabricates: Pre-assembled units.
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3.2 Structural Systems and Components
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Wall Panels and Shear Walls:
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Classification:
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Load-bearing: Carry vertical loads (concrete, masonry).
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Shear walls: Resist lateral loads (concrete, steel, timber).
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Non-load-bearing: Partitions (lightweight materials).
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Materials: Precast concrete, autoclaved aerated concrete (AAC), steel, timber, composites.
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Floor and Roof Slabs:
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One-way: Span in one direction (supported on two sides).
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Two-way: Span in two directions (supported on all four).
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Manufacturing process:
DiagramCANVAS: Flow chart: 1. Casting bed preparation → 2. Reinforcement placement → 3. Concrete pouring & vibration → 4. Initial curing (steam) → 5. Stripping → 6. Inspection → 7. Storage yard → 8. Transportation → 9. Erection → 10. Joint grouting/sealing
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Column Structures: Precast columns with corbels, brackets, or socket connections.
3.3 Modular Coordination and Standardization
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Modular Coordination:
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Basic module: 100 mm (IS 2200).
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Planning grid: Multiples (e.g., 300 mm, 600 mm).
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Significance: Reduces cuts/waste, ensures compatibility, simplifies design and erection.
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Standardization:
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Benefits: Mass production, lower unit cost, easier quality control, reduced inventory, eco-friendly (less material waste).
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Examples: Standard wall panel sizes (e.g., 2.4 m × 3 m), connection details.
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Modular Planning for Residential Apartments: Use 300 mm or 600 mm grid; optimize room sizes (e.g., 3 m, 3.6 m multiples); align services.
3.4 Joints and Connections
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Expansion Joints: Allow thermal movement; filled with compressible material (foam), sealed.
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Flexibility Joints: Accommodate differential movement (e.g., between modules); often use elastomeric bearings.
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Connections:
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Mechanical: Bolts, welds (steel).
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Grouted: Grout in ducts (concrete).
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Welded: For steel modules.
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Design considerations: Strength, ductility, constructability, fire resistance.
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Joint Fillers and Sealing Compounds:
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Fillers: Preformed foam, cork – compressible.
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Sealing compounds: Silicone, polysulfide, bituminous – elastic, adhesive.
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Disuniting Process (for reuse/demolition):
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Remove sealant and filler.
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Clean joint surfaces.
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Carefully separate components (avoid damage).
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Inspect and repair if needed.
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Reassemble with new joint materials or store.
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Problems due to Joint Flexibility:
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Issues: Cracking, leakage, uneven load transfer, acoustic issues.
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Mitigation: Use rigid connections where possible, high-quality sealants, proper detailing, regular inspection.
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3.5 Seismic Design and Abnormal Effects
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IS Code Provisions (IS 1893, IS 13920):
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Equivalent static method: Base shear $$\displaystyle V_b = W \cdot A_h / g $$, where $$\displaystyle A_h = Z \cdot I \cdot S_a / g $$ (response spectrum).
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Response spectrum: $$\displaystyle S_a $$ vs. period $T$.
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Intensity vs Magnitude of Earthquakes:
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Magnitude: Energy released (Richter scale, moment magnitude).
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Intensity: Effects at a location (Mercalli scale, MSK).
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Damping: Energy dissipation; higher damping reduces seismic response (typically 5% for concrete).
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Degree of Progressivity: Likelihood of collapse after initial failure; low in precast if connections are ductile (capacity design).
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Earthen Walls:
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Properties: Low density, good insulation, but weak in tension and seismic.
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Applications: Infill panels, partitions (with reinforcement).
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[!TIP] Seismic design: Ensure connections are stronger than members (capacity design) to avoid progressive collapse.
3.6 Design and Detailing
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General Recommendations for Expansion Joints:
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Width: Based on temperature range and $\alpha$: $$\displaystyle w = \alpha \cdot L \cdot \Delta T + \text{allowance} $$.
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Location: At changes in direction, intersections, building separations.
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Materials: Preformed compressible fillers, sealants on both sides.
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Design of Precast Concrete Wall Panel (example):
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Given: Height $h$, length $l$, thickness $t$, vertical load $P$, horizontal load $H$.
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Check stability:
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Overturning: $$\displaystyle \frac{H \cdot h/2}{P \cdot l/2} < \text{FOS} $$.
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Sliding: $$\displaystyle H < \mu P $$ (if no key).
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Check strength:
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Bending: $$\displaystyle M = H \cdot h/2 $$, check $$\displaystyle \sigma = M/Z < f_{allow} $$.
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Shear: $$\displaystyle \tau = V/A < \tau_{allow} $$.
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Tie Bars in Concrete Pavements: Not typically in prefabrication; focus on connections.
3.7 Production, Transportation, and Erection
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Process Flow:
Casting (on steel/wooden beds) → Curing (steam/water) → Stripping → Inspection → Storage → Transportation (flatbed trucks) → Erection (crane) → Jointing (grouting/sealing) → Finishing.
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Quality Control:
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Production: Material testing, slump, air content, curing regime.
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Site: Alignment, connection tightening, joint quality, waterproofing.
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Logistics and Equipment:
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Transportation: Route survey, load securement, permits.
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Erection: Mobile cranes, gantries, lifting anchors (tested), temporary supports.
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3.8 Cost and Eco-Aspects in Prefabrication
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Material Waste: Factory precision reduces waste by 30–50% vs. on-site.
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Site Disturbance: Less noise, dust, traffic, and land use.
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Energy Efficiency: Factory can use renewable energy, optimized processes, less energy per unit.
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Lifecycle Cost: Durability (controlled curing), low maintenance, recyclability at end-of-life.
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Sustainable Materials: Recycled concrete aggregate, timber from certified forests, low-carbon cement (fly ash, slag), insulation for energy efficiency.
[!TIP] Prefabrication supports circular economy: design for disassembly, reuse components, minimize landfill.
Note: All formulas are boxed for quick reference. Diagrams suggested for key concepts (hydrological cycle, precast flow) can be sketched from search keywords.