Three 100 mm × 200 mm concrete cylinders with water to cement ratios of 0.50, 0.55, and 0.60, respectively. After curing for 7 days, the specimens were subjected to increments of compressive loads. The load versus deformation results were as shown in Table P7.27.
Specimen No. | w/c Ratio | Load (kN) | Deformation (mm) | Stress (MPa) | Strain (m/m) | Secant Modulus (MPa) |
1 | 0.50 | 0 | 0 | |||
25 | 0.0007 | |||||
50 | 0.0014 | |||||
75 | 0.0021 | |||||
100 | 0.0029 | |||||
2 | 0.55 | 0 | 0 | |||
25 | 0.0008 | |||||
50 | 0.0016 | |||||
75 | 0.0025 | |||||
100 | 0.0036 | |||||
3 | 0.60 | 0 | 0 | |||
25 | 0.001 | |||||
50 | 0.0021 | |||||
75 | 0.0034 | |||||
100 | 0.0051 |
Assuming that the gauge length is the whole specimen height, determine the following:
- a. The compressive stresses and strains for each specimen at each load increment.
- b. Plot stresses versus strains for each specimen on one graph.
- c. If the ultimate stress is 30, 25 and 20 MPa at 0.50, 0.55 and 0.60, respectively, determine modulus of elasticity as the secant modulus at 40% of the ultimate stress at each water–cement ratio.
- d. Comment on the effect of increasing the water-cement ratio on the modulus of elasticity.
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