Skip to main content

Chapter 8 · 4 hours

Testing of Masonry Elements

Practice questions

Practice questions and answers

3 exam-style questions on this chapter, written for this site from the official syllabus. We haven’t found past IOE papers for this subject yet; if you have some, share them in the community.

  • Practice · 6 marks

Briefly describe the procedure for the compressive strength test of a brick (IS 3495). Five bricks of size 230 mm × 110 mm × 75 mm were tested flat with the following failure loads: 205, 190, 218, 176 and 199 kN. The bearing area is the full 230 × 110 mm bed. Find the compressive strength of each brick, the average strength, the standard deviation and the strength class (class 7.5 requires an average of at least 7.5 N/mm²; class 10 requires at least 10 N/mm²). A brick weighing 3.05 kg when dry weighed 3.54 kg after 24 hours in water: find the water absorption.

Answer

Test procedure (IS 3495, Part 1)

  1. Select five representative bricks. Remove unevenness and fill frogs/depressions with 1:1 cement–sand mortar.
  2. Immerse the bricks in water for 24 hours, then drain surface water.
  3. Place the specimen flat (largest face) between plywood sheets or plates in the compression testing machine.
  4. Apply load axially at a uniform rate of about 14 N/mm² per minute until failure.
  5. Compressive strength =maximum loadloaded area= \dfrac{\text{maximum load}}{\text{loaded area}}; the average of the five bricks is reported.

Calculation

Area A=230×110=25 300A = 230 \times 110 = 25\,300 mm².

BrickLoad (kN)Strength = P/AP/A (N/mm²)
12058.10
21907.51
32188.62
41766.96
51997.87
fˉ=8.10+7.51+8.62+6.96+7.875=7.81 N/mm2s=∑(fi−fˉ)2n−1=0.62 N/mm2(coefficient of variation=8%)\begin{aligned} \bar f &= \frac{8.10 + 7.51 + 8.62 + 6.96 + 7.87}{5} = 7.81\ \text{N/mm}^2 \\ s &= \sqrt{\frac{\sum (f_i - \bar f)^2}{n-1}} = 0.62\ \text{N/mm}^2 \quad (\text{coefficient of variation} = 8\%) \end{aligned}

Classification

Average strength 7.81≥7.57.81 \ge 7.5 N/mm² but <10< 10 N/mm², so the bricks are class 7.5. The classification is based on the average strength of the five bricks.

Water absorption

Absorption=Ww−WdWd×100=3.54−3.053.05×100=16.1%\text{Absorption} = \frac{W_w - W_d}{W_d}\times100 = \frac{3.54 - 3.05}{3.05}\times100 = 16.1\%

This is below the 20 percent permitted for common bricks of this class, so it is acceptable.

Answer: Strengths 8.10, 7.51, 8.62, 6.96, 7.87 N/mm²; average 7.81 N/mm² (s = 0.62), class 7.5; water absorption 16.1%.

  • Practice · 6 marks

(a) A 1.2 m × 1.2 m square brick masonry panel, 230 mm thick, is tested in diagonal compression and fails at a load of 160 kN along the diagonal. Calculate the shear strength of the masonry. (b) In a single flat-jack test, the pressure needed to restore the original distance between the gauge points was 0.62 N/mm². The jack constants are Km=0.74K_m = 0.74 and Ka=0.85K_a = 0.85. Find the in-situ stress in the masonry. (c) In a push shear test, a brick is pushed horizontally and fails at 14 kN; two bed joints, each 230 mm × 110 mm, carry the shear. Find the shear stress.

Answer

(a) Diagonal compression (shear) test

For a square panel (ASTM E519), the load PP along the diagonal produces pure shear along the other diagonal. The shear stress is

fv=0.707 PAn,An=w+h2 t nf_v = \frac{0.707\,P}{A_n}, \qquad A_n = \frac{w + h}{2}\,t\,n

where ww and hh are the width and height of the panel, tt the thickness, and nn the percentage of solid area (1 for solid wall).

An=1200+12002×230×1=276 000 mm2fv=0.707×160 000276 000=0.41 N/mm2\begin{aligned} A_n &= \frac{1200 + 1200}{2} \times 230 \times 1 = 276\,000\ \text{mm}^2 \\ f_v &= \frac{0.707 \times 160\,000}{276\,000} = 0.41\ \text{N/mm}^2 \end{aligned}

(b) Single flat-jack test

A slot is cut in a mortar bed joint, which relieves the vertical stress and reduces the distance between gauge points. A flat jack is inserted and pressurised until the original distance is restored. The in-situ stress is

σm=KmKa p\sigma_m = K_m K_a\, p

where pp is the jack pressure, KmK_m the jack constant (stiffness of the jack) and KaK_a the ratio of jack area to slot area.

σm=0.74×0.85×0.62=0.39 N/mm2\sigma_m = 0.74 \times 0.85 \times 0.62 = 0.39\ \text{N/mm}^2

(c) Push shear test

A brick is freed by removing the head joints, and a jack pushes it along the bed joints. The shear area is that of the two bed joints:

A=2×230×110=50 600 mm2,τ=14 00050 600=0.277 N/mm2A = 2 \times 230 \times 110 = 50\,600\ \text{mm}^2, \qquad \tau = \frac{14\,000}{50\,600} = 0.277\ \text{N/mm}^2

If there is overburden stress σv\sigma_v, the initial shear strength is corrected as fv0=τ−μ σvf_{v0} = \tau - \mu\,\sigma_v (with friction μ≈0.4\mu \approx 0.4 - 0.6).

TestResult
Diagonal shearfv=0.41f_v = 0.41 N/mm²
Flat jackσm=0.39\sigma_m = 0.39 N/mm²
Push shearτ=0.28\tau = 0.28 N/mm²

Answer: (a) 0.41 N/mm²; (b) 0.39 N/mm²; (c) 0.28 N/mm².

  • Practice · 5 marks

Explain the ultrasonic pulse velocity test and elastic wave tomography for masonry. State their uses and limitations.

Answer

Ultrasonic pulse velocity (UPV) test

A transmitter transducer generates an ultrasonic pulse (typically 50–150 kHz) at one point on the wall, and a receiver picks it up at another. The electronic unit measures the travel time tt. The pulse velocity is

V=LtV = \frac{L}{t}

where LL is the path length between transducers.

Arrangement: direct (transducers on opposite faces), semi-direct (on adjacent faces), or indirect (same face). Direct is the most reliable. A couplant (grease or gel) is used for good contact.

  Transmitter ))))))))  path L  )))))))) Receiver
      [T]=========== wall ===========[R]
          \_______ time t _______/

Uses

  • Compare quality: high velocity means dense, sound masonry; low velocity means voids, cracks, loose fill or damage.
  • Estimate the dynamic elastic modulus: Ed=ρV2(1+ν)(1−2ν)(1−ν)E_d = \rho V^2\dfrac{(1+\nu)(1-2\nu)}{(1-\nu)}.
  • Locate flaws and check grout injection; estimate strength using calibrated correlations.

Limitations: results depend on moisture, mortar and unit properties, so the correlation to strength is poor; the pulse is scattered in heterogeneous masonry such as rubble stone, and the method needs access to both faces.

Elastic wave tomography

Many source and receiver points are placed around the wall section (or in a grid on both faces). The travel time of each ray is measured by hammer impact or ultrasonic transducers. A computer inversion (e.g. iterative ray tracing) divides the section into cells and finds the velocity in each cell so that the calculated travel times match the measured times. The result is a velocity map (image) showing the internal condition.

   S1  S2  S3  S4        Source points on one side
   \\\ ||| /// \\
   .-------------.       cell grid
   | 2.1  1.4 2.0|       velocity (km/s) in cells;
   | 2.2 [0.8]2.1|       low value [0.8] = void
   '-------------'
   R1  R2  R3  R4        Receivers

Uses: finding voids, cracks, delaminations, and the inner core quality of thick stone and multi-leaf walls, and checking the success of grouting.

Limitations: needs many readings and processing software; resolution is limited by wave length and number of rays; interpretation requires experience.

Both tests are non-destructive (no damage to the heritage fabric) and are used together with semi-destructive tests such as the flat-jack test for calibration.

Written from the official syllabus. Questions and answers are written for this site; check them against your class notes.

Chapter titles and hours from the IOE syllabus ↗