WRD Maharashtra JE flashcards
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- Modular ratio m
- Ratio of modulus of elasticity of steel to that of concrete, m = E_s/E_c = 280/(3σ_cbc) in WSM; used to transform steel area into equivalent concrete area for composite section analysis.
- Balanced section x_u/d
- Depth of neutral axis ratio at which concrete and steel reach permissible limits simultaneously; IS 456 limits it to 0.53 for Fe250, 0.48 for Fe415 and 0.46 for Fe500.
- Terzaghi strip footing equation
- Ultimate bearing capacity q_u = cN_c + γD_f N_q + 0.5γBN_γ for a strip footing; N factors depend on the angle of internal friction φ.
- Standard Proctor compaction
- Laboratory test using 2.5 kg rammer with 310 mm drop, 25 blows per layer in 3 layers, giving compactive energy about 594 kJ/m³; determines OMC and maximum dry density.
- Target mean strength
- Design strength f_ck' = f_ck + 1.65s, where s is the assumed standard deviation; used in IS 10262 mix design to ensure the specified characteristic strength is achieved.
- One-way slab span/depth
- IS 456 basic span-to-effective-depth ratios: 20 simply supported, 26 continuous, 7 cantilever; multiplied by a modification factor depending on the tension steel percentage.
- Minimum shear reinforcement
- Requirement A_sv/(b·s_v) ≥ 0.4/(0.87f_y); maximum stirrup spacing is the lesser of 0.75d and 300 mm, ensuring ductile shear behaviour.
- Lever arm in WSM
- Distance between compressive and tensile resultants, z = jd with j = 1 − k/3; moment of resistance M = σ_st·A_st·z for a singly reinforced section.
- Otto cycle efficiency
- Air-standard efficiency η = 1 − 1/r^(γ−1), where r is the compression ratio and γ the specific heat ratio; efficiency rises with compression ratio.
- Carnot COP
- Coefficient of performance of a reversible refrigerator between cold reservoir T_L and hot reservoir T_H: COP = T_L/(T_H − T_L), with temperatures in kelvin.
- Three-phase power formula
- P = √3 V_L I_L cos φ for a balanced three-phase load; in star V_L = √3V_ph, in delta I_L = √3I_ph.
- Transformer EMF equation
- EMF per turn E_t = 4.44 f Φ_m; the ratio V_1/V_2 = N_1/N_2 = I_2/I_1 holds for an ideal transformer.
- Induction motor slip
- Slip s = (N_s − N_r)/N_s where N_s = 120f/P; rotor frequency equals s·f, and slip is 1 at standstill.
- DC motor back EMF
- For a DC motor, E_b = V − I_a R_a with E_b = (PΦNZ)/(60A); back EMF opposes the supply voltage and limits armature current.
- Turbine specific speed
- N_s = N√P/H^(5/4), used to select turbine type: Pelton for high head, Francis for medium head, Kaplan for low head and large discharge.
- Belt velocity ratio
- Ratio of pulley speeds equals ratio of diameters (plus belt thickness for crossed belts); slip reduces the actual ratio below the ideal value.
- Kennedy's critical velocity
- V_0 = 0.55 m·y^0.64, the non-silting and non-scouring velocity in an unlined canal; regime condition requires the actual velocity to equal V_0.
- Lacey regime equations
- P = 4.75√Q, V = (Qf²/140)^(1/6) with silt factor f = 1.76√d_mm; used to design stable unlined channels in alluvium.
- Manning's equation
- V = (1/n)R^(2/3)S^(1/2); n is roughness coefficient, R hydraulic radius and S bed slope; widely used for lined canal and channel design.
- Duty and delta
- Duty D (ha/cumec) = 8.64B/Δ and delta Δ (m) = 8.64B/D, where B is the base period in days; delta is depth of water required over the crop period.
- Aqueduct vs superpassage
- An aqueduct carries the canal over a drain; a superpassage carries the drain over the canal; selection depends on relative bed levels and the drain's high flood level.
- Dam hazard classification
- Dams are classed by hazard potential (high, significant, low) based on likely downstream consequences; class determines inspection frequency and emergency action plan requirements.
- Reservoir routing continuity
- I − O = dS/dt expresses storage change in a reservoir; combined with storage-elevation and elevation-discharge curves it gives outflow for a given inflow flood.
- Duty of canal water
- Area irrigated per unit discharge, usually hectares per cumec; it decreases with higher delta and longer base period and is used to fix canal design discharge.
- Maharashtra formation date
- Maharashtra was formed on 1 May 1960 under the Bombay Reorganisation Act, 1960, by splitting the bilingual Bombay State into Maharashtra and Gujarat.
- Vidhan Parishad seats
- The Maharashtra Legislative Council has 78 seats; one-third of members retire every two years, with members drawn from graduates, teachers, local bodies and the Governor's nominees.
- Maharashtra divisions
- Maharashtra has 36 districts grouped into 6 revenue divisions: Konkan, Nashik, Pune, Chhatrapati Sambhajinagar, Amravati and Nagpur.
- Zilla Parishad Act, 1961
- The Maharashtra Zilla Parishads and Panchayat Samitis Act, 1961 governs district-level and block-level rural local bodies; the Village Panchayats Act, 1959 governs Gram Panchayats.
- Marathi vibhakti count
- Marathi has 8 cases (विभक्ती) and 3 genders; case markers include -ने for कर्ता, -ला/-स for कर्म and -चा/-ची/-चे for षष्ठी.
- Right to Public Services Act
- The Maharashtra Right to Public Services Act, 2015 makes notified public services time-bound, with a first appeal to a designated officer and a second appeal to the appellate authority.
- Water Resources Department
- जलसंपदा विभाग, headed by the Minister and administered by the Secretary, plans and maintains irrigation projects, dams and canals; field units are headed by Chief and Executive Engineers.
- Kalsubai peak
- Kalsubai (1,646 m) in the Western Ghats of Nashik district is the highest point in Maharashtra; the Sahyadri range runs north-south along the state's western edge.