RCC Design
Singly Reinforced Beam
Moment of resistance for rectangular beam section
IS 456 · Cl. 38
Moment of Resistance (Mu)
Mu = 0.87·fy·Ast·d·(1 − Ast·fy / b·d·fck)
RCC Column — Axial Load
Safe axial load capacity of short column
IS 456 · Cl. 39
Safe Axial Load (Pu)
Pu = 0.4·fck·Ac + 0.67·fy·Asc
One-Way Slab — Min. Depth
Minimum effective depth for deflection control
IS 456 · Cl. 23.2
Minimum Effective Depth
d_min = L / (α × M_f) where M_f = 0.58·fy·(Ast_req/Ast_prov)
Isolated Footing — Plan Size
Required footing area from column load and SBC
IS 456 · Cl. 34
Required Footing Area
A_req = P × (1 + SW%) / SBC
Concrete Mix & Volume
Concrete Volume
Volume of concrete for beams, columns, slabs, or footings
Quantity
Concrete Volume
V = L × W × D × Nos (or π/4 × D² × H × Nos)
Nominal Mix — Material Quantities
Cement, sand, and aggregate for a given volume
IS 456 · Table 9
Material Quantities
Dry vol = 1.54 × Wet vol; Cement bags = Dry vol × (1/(1+s+a)) / 0.0347
Water-Cement Ratio Check
Verify w/c ratio against IS 456 exposure limits
IS 456 · Table 5
W/C Ratio
w/c = Water content / Cement content
IS 10262 — Design Mix Proportions
Cement, water, FA, CA quantities per m³ of concrete
IS 10262:2019 · IS 456
Mix Proportions (per m³)
IS 10262:2019 — Step method: target strength → w/c → water → cement → aggregate volumes by absolute volume method
Steel Estimation
Steel Bar Weight
Weight of TMT / HYSD bars by diameter and length
IS 1786
Total Steel Weight
W = (D² / 162) × L × Nos (kg, D in mm, L in m)
Stirrup / Link Length
Cutting length of rectangular stirrups with hooks
BBS · IS 2502
Stirrup Cutting Length
L = 2(b+d) − 8c + 2×hook (hook = 9d for 135° bend)
Earthwork & Excavation
Earthwork Volume
Volume by prismoidal formula for road / canal earthwork
Prismoidal
Earthwork Volume
V = L/6 × (A₁ + 4Am + A₂) — Prismoidal formula
Trapezoidal Excavation
Volume of trapezoidal trench or pit excavation
Excavation
Excavation Volume
V = (Top W + Bottom W) / 2 × Depth × Length
Masonry & Brickwork
Brick Quantity
Number of bricks and mortar for a wall volume
IS 1077
Brick Quantity
Bricks/m³ = 1 / ((L+j)(H+j)(T)) × 1000³