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UPSC ESE /Gate ( Civil engineering)

UPSC ESE /Gate ( Civil engineering)

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Channel Posts
Q3/3: A rectangular tank of length 4 m containing water accelerates uniformly at 3 m/s2 horizontally on a level surface. The difference in water surface levels between the rear and front ends is:
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Q2/3: A vertical cut in saturated clay (phi = 0) has cohesion c = 30 kN/m2 and unit weight gamma = 19 kN/m3. The depth of the tension crack (where active earth pressure becomes zero) is:
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Q1/3: A flat slab with 400x400 mm interior column has effective depth d = 250 mm and factored shear force Vu = 800 kN. As per IS 456 Cl 31.6.3, the punching shear stress on the critical section (perimeter at d/2 from column face) is:
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πŸ“š ESE Cracker β€” Day 76/174: Curve Setting (Simple, Compound & Reverse Curves) πŸ“ Surveying Tuesday = Surveying day. Curves k
πŸ“š ESE Cracker β€” Day 76/174: Curve Setting (Simple, Compound & Reverse Curves) πŸ“ Surveying Tuesday = Surveying day. Curves ka poora game ek image mein β€” formulas, worked examples aur self-check trick. πŸ’‘ Key: deflection angle from PC to any point = arc/2 β€” at PT total deflection MUST equal Ξ”/2. Agar nahi aa raha, setting-out galat hai. βœ… Simple: T = R tan(Ξ”/2), Ξ΄ = 1718.9l/R min βœ… Compound: same direction, different R β€” PCC joins the arcs βœ… Reverse: opposite direction β€” parallel tracks d = (R1+R2)(1βˆ’cosΞ”) #ESEPrep #CivilEngineering #SyllabusCrusher #ESE2027 #Surveying
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A circular curve of radius 300 m has a deflection angle of 60 degrees. As per Rankine's method, the external distance of the curve (mid-point of curve to intersection of tangents) is:
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A 3 x 3 pile group has 600 mm diameter piles at 1.8 m centre-to-centre spacing. As per the Converse-Labarre formula, the pile group efficiency is:
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A singly reinforced beam (M20, Fe 415) has b = 250 mm, d = 400 mm and 1.0% tension steel. As per IS 456 Table 19, the design shear strength of the concrete section (Vc) is:
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πŸ“š ESE Cracker β€” Day 75/174 πŸ“ RCC β€” Singly Reinforced Beam Design (IS 456:2000, LSM) Today's cracker covers: β€’ When a beam s
πŸ“š ESE Cracker β€” Day 75/174 πŸ“ RCC β€” Singly Reinforced Beam Design (IS 456:2000, LSM) Today's cracker covers: β€’ When a beam stays singly reinforced (Mu ≀ Mu,lim gate) β€’ xu,max/d ladder β€” 0.53 (Fe250) / 0.48 (Fe415) / 0.46 (Fe500) β€’ Mu,lim = 0.138 fck b dΒ² (Fe415) + full lever-arm equation set β€’ Worked design: Mu = 120 kNΒ·m, M20/Fe415 β†’ b 250 mm, D 500 mm, 3-20Ο†, 8Ο†-4L stirrups @ 200 c/c (all arithmetic verified) β€’ Shear + deflection checks tacked on, "148-138-133" & "53-48-46" mnemonics β€’ ❌/βœ… common mistakes: D vs d, grade-blind coefficients, skipping xu/d #ESEPrep #CivilEngineering #SyllabusCrusher #ESE2027
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Q3 [Water Resources]: Using the Rational Method, estimate the peak runoff from a catchment of 5 ha with runoff coefficient C = 0.60 and design rainfall intensity i = 40 mm/hr. Peak discharge Q is:
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Q2 [Geotechnical]: In an oedometer test, a 20 mm thick clay sample (double drainage) reached 50% consolidation in 20 min. A field clay layer 4 m thick with single drainage is loaded to the same stress increment. Time for 50% consolidation in the field:
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Q1 [Structural/Steel]: A 16 mm thick gusset plate of Fe 410 (fu = 410 N/mm2) fails in block shear. Net shear area Anv = 2000 mm2, net tension area Ant = 600 mm2. As per IS 800:2007 Cl 6.4, the block shear design strength Vdb is:
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Q3: Water flows at 2 m/s in a 500 m long rigid pipe (K = 2.1 GPa). The valve is closed in 0.4 s. The Joukowsky pressure rise is (rho = 1000 kg/mΒ³):
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Q2: A normally consolidated clay (c' = 0) is tested in CU triaxial: cell pressure 200 kPa, deviator stress 300 kPa, pore pressure at failure 100 kPa. The effective friction angle phi' is:
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Q1: A steel rod (E = 200 GPa, A = 500 mmΒ², L = 2 m) carries a 10 kN collar dropped from h = 25 mm. The maximum impact stress in the rod is:
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πŸ“š ESE Cracker β€” Day 74/174 πŸ“‹ Mixed Revision: 5 Quick-Fire Concepts (Week 15) Days 64–73 recap β€” 5 cards that carry the high
πŸ“š ESE Cracker β€” Day 74/174 πŸ“‹ Mixed Revision: 5 Quick-Fire Concepts (Week 15) Days 64–73 recap β€” 5 cards that carry the highest exam weight: πŸ”Ή Column Buckling β€” Euler Pcr = π²EI/(KL)Β², K factors, Ξ»c ladder, Rankine for Ξ» < Ξ»c πŸ”Ή BOD Kinetics β€” y_t = L(1βˆ’10^βˆ’kt), the 68% rule at k=0.1, ThOD β‰₯ COD β‰₯ BOD πŸ”Ή Concrete Mix Design β€” fck+1.65Οƒ, Abrams law, durability w/c caps (M20 0.55 / M25 0.50 / M30 0.45) πŸ”Ή Activated Sludge β€” F/M, sludge age ΞΈc, SVI, recirculation R πŸ”Ή Hill Roads β€” gradient compensation C = 30/(R+15)%, extra widening βœ… Quick recap: Rankine when Ξ» < Ξ»c β€’ BOD5 β‰ˆ 0.684L β€’ F/M uses influent only β€’ compensate on sharp curves πŸ’‘ Revisions pe focus β€” yehi 5 cards har hafte ek baar dohrana. #ESEPrep #CivilEngineering #SyllabusCrusher #ESE2027
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A spherical soap bubble of radius 2.5 mm is formed in air with surface tension 0.03 N/m. The excess pressure inside the bubble is: #ESEPrep #CivilEngineering #TargetPractice #ESE2027
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A retaining wall 5 m high retains cohesionless backfill (phi = 30 deg, gamma = 18 kN/m3). A surcharge of 10 kN/m2 acts on the backfill surface. The additional active thrust per metre run due to surcharge is: #ESEPrep #CivilEngineering #TargetPractice #ESE2027
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A fixed beam AB of span 6 m carries a point load of 90 kN at 2 m from support A. The fixed-end moment at A is: #ESEPrep #CivilEngineering #TargetPractice #ESE2027
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Day 73/174 β€” Timber: Properties, Seasoning & Defects Friday = Engineering Materials. Day 72 covered Hill Roads; today it's ti
Day 73/174 β€” Timber: Properties, Seasoning & Defects Friday = Engineering Materials. Day 72 covered Hill Roads; today it's timber β€” the OG construction material. Key highlights: β€’ Fiber Saturation Point (FSP) β‰ˆ 25–30% MC β€” shrinkage & strength gain start ONLY below this β€’ MC = (Ww βˆ’ Wd)/Wd Γ— 100% β€” denominator is always OVEN-DRY weight β€’ Shrinkage: Tangential > Radial β‰ˆ 2:1, Longitudinal β‰ˆ 0 β€’ Worked example: 100 kg wet / 60 kg dry β†’ MC = 66.7%; season to 15% β†’ remove 31 kg water β€’ Seasoning: Air (cheapest, 15–20% MC) | Kiln (fast, 10–15%) | Water (decay-proof but weakens) β€’ Defects: Knots, Bow/Cup/Twist, Checks & Shakes, Termites, Dry rot #ESEPrep #CivilEngineering #SyllabusCrusher #ESE2027
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Q3 (Transportation Engineering): Stopping sight distance on a level road at 80 km/h, reaction time 2.5 s and f = 0.35 (n = 0) is:
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