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Masonry structures

Civil Engineering (B.E./B.Tech) · Structural analysis and design · free study notes for exams, placements and interviews

In short

Masonry is a composite of units (burnt clay bricks, stone, concrete or AAC blocks) bedded in mortar, carrying load mainly in compression through walls, piers and arches. It is still the dominant walling system in India — load-bearing for one to four storeys, and infill in RCC frames almost everywhere else — so every civil engineer sizes, specifies or inspects it. Design in India follows the working-stress code IS 1905:1987 (with SP 20 as handbook) plus NBC 2016 Part 6 Section 4, and seismic detailing from IS 4326 and IS 13828. Examined in GATE and university papers through permissible-stress calculations, slenderness and eccentricity factors, bonds and material tests; asked in interviews by builders, PWD/CPWD, housing boards, L&T, Tata Projects and structural consultancies.

Explained

Units, mortar and why masonry is weaker than its units

Masonry types, bonds and construction terms

Behaviour under load and failure modes

Design of unreinforced masonry to IS 1905 (working stress)

Step-by-step for a load-bearing wall:

  1. Loads: dead load of slabs, walls and finishes plus imposed load (IS 875 Parts 1 and 2); wind (Part 3) or seismic (IS 1893 Part 1) where they govern. Masonry self-weight is taken as about 19–20 kN/m³ for brickwork; use the IS 875 Part 1 value for the actual material.
  2. Effective height H_e (Table 2): about 0.75 H when the wall is laterally supported *and* restrained at top and bottom (RCC slab bearing over at least about half to full wall thickness), 1.0 H for simple lateral support without restraint, and 1.5 H or more for a wall free at the top; column cases are listed separately.
  3. Effective length L_e (Table 3): roughly 0.8 L continuous *and* supported by cross walls at each end, 0.9 L continuous at one end and supported at the other, 1.0 L supported at both ends, 1.5 L continuous at one end and free at the other, 2.0 L free at one end.
  4. Effective thickness t_e: actual t for a solid wall; t × stiffening coefficient (Table 5, about 1.0–1.5) for a wall stiffened by piers or cross walls; two-thirds of the sum of the two leaf thicknesses for a cavity wall (with the loaded-leaf rule applied).
  5. Slenderness ratio SR = smaller of H_e/t_e and L_e/t_e. Code limits (Table 4) are of the order of 27 for cement-based mortars and lower (about 20, and less for taller buildings) for weak lime mortars — confirm against the table and number of storeys.
  6. Basic compressive stress f_b (Table 8): read against unit crushing strength and mortar grade; for common Indian brickwork it falls in the range of roughly 0.25–2.0 N/mm², broadly one-tenth of the unit strength.
  7. Multiply by the three modifiers:
  8. Stress reduction factor k_s (Table 9): function of SR and e/t — 1.00 at SR 6 falling to about 0.43 at SR 27 for zero eccentricity.
  9. Area reduction factor k_a = 0.7 + 1.5A (A in m²), applied only when the loaded cross-sectional area A < 0.2 m² — i.e. for small piers and columns.
  10. Shape modification factor k_p (Table 10): > 1 for units whose height-to-width ratio is large (tall blocks), used only with units of crushing strength up to about 15 N/mm².
  11. Check actual stress ≤ permissible stress, and the SR limit. A 25% increase in permissible stress is allowed in defined cases (certain concentrated-load and wind/seismic combinations) — verify the clause before using it.
  12. Shear check: permissible shear stress is small, of the order of 0.1 N/mm² plus a fraction of the dead-load compressive stress, capped at about 0.5 N/mm² (IS 1905 Cl. 5.4.3; the exact expression should be taken from the code edition in force).
  13. Minimum practical thicknesses: 230 mm for load-bearing brick walls (115 mm only for partitions and small single-storey work), 150–200 mm for load-bearing blockwork; thicker at lower storeys of multi-storey load-bearing buildings.

Reinforced, confined and seismic masonry

Comparison and limits of masonry as a structural system

Key points

Formulas and examples

SR = lesser of (H_e / t_e) and (L_e / t_e) — dimensionless; H_e, L_e, t_e = effective height, length, thickness (mm)
t_e = t (solid wall) = t × stiffening coefficient (wall with piers) = (2/3)(t₁ + t₂) (cavity wall)
Permissible compressive stress f_c = k_s · k_a · k_p · f_b (N/mm²); f_b = basic stress from IS 1905 Table 8
k_a = 0.7 + 1.5 A, for A < 0.2 m² (A = loaded cross-sectional area in m²); k_a = 1.0 otherwise
Axial capacity of wall per metre run P = f_c · t · 1000 (N/m), t in mm
Combined stress σ = P/A ± M/Z = (P / b t)(1 ± 6e / t); no tension if e ≤ t/6
If e > t/6 (no-tension, triangular block): σ_max = 2P / [3 b (t/2 − e)]
Permissible shear ≈ 0.1 + (a fraction of dead-load compressive stress) ≤ about 0.5 N/mm² (IS 1905 Cl. 5.4.3 — use code value)
Number of units per m³ = 1 / [(l + j)(b + j)(h + j)], l, b, h = unit size, j = joint thickness (m)
Mortar volume per m³ of masonry = 1 − (number of units × unit volume); dry volume ≈ 1.33 × wet volume
Water absorption (%) = (W₂ − W₁)/W₁ × 100, W₁ = dry mass, W₂ = mass after 24 h immersion

Stress reduction factor k_s for zero eccentricity (IS 1905 Table 9, e/t = 0):

SR6810121416182022242627
k_s1.000.950.890.840.780.730.670.620.560.510.450.43

(Values fall further as e/t rises to 1/24, 1/12, 1/8, 1/6 — interpolate from the full table.)

Example 1 — capacity of a 230 mm load-bearing brick wall. Clear storey height 3.2 m, RCC slabs above and below (laterally restrained), wall continuous past cross walls 4.0 m apart (the 0.8 L case), solid modular bricks; take f_b = 0.96 N/mm² for the chosen unit–mortar pair (read from Table 8).

Example 2 — load on that wall in a two-storey house (check). One-way slabs span 3.6 m onto the wall (tributary width 1.8 m), slab 125 mm thick, concrete 25 kN/m³.

Example 3 — small brick pier (area reduction bites). Pier 345 × 345 mm, 3.0 m high, no lateral restraint at mid-height, same f_b = 0.96 N/mm².

Example 4 — eccentric bearing on a 230 mm wall. P = 100 kN/m, load eccentric by e = 60 mm from the centre line.

Example 5 — materials for 1 m³ of modular brickwork in 1:6 cement mortar.

Walling materialTypical unit strengthTypical densityWhere preferred
Burnt clay brick, 230 mm7.5–20 N/mm²19–20 kN/m³Load-bearing walls, external walls
Solid/hollow concrete block3.5–15 N/mm²15–22 kN/m³ (hollow lighter)Fast blockwork, boundary and infill walls
AAC block, 200 mm3–4 N/mm²5.5–6.5 kN/m³High-rise infill — cuts dead load and heat gain
Coursed rubble stoneHigh, variable24–26 kN/m³Foundations, plinths, hill and heritage work

Where it is used

Interview questions

Common mistakes

Related topics

Reinforced concrete design (IS 456) · Earthquake-resistant design · Tall buildings, shear walls and lateral loads · Repair and rehabilitation of structures · Strength of materials: stress and strain · Building materials and construction practice

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