relationship between the amount of ggbfs and compressive strength

7
Relationship between the amount of GGBS and the strength Hume Concrete Sdn. Bhd.

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Page 1: Relationship between the amount of GGBFS and Compressive Strength

Relationship between the amount of GGBS and the strength

Hume Concrete Sdn. Bhd.

Page 2: Relationship between the amount of GGBFS and Compressive Strength

3 Days ( Best Trend Line Selection)

0 20 30 50 700.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

f(x) = 0.378964285714283 x² − 5.8281757142857 x + 36.33198R² = 0.940778986985241

Percentage of GGBS (%) vs strength (MPa)Polynomial (Percentage of GGBS (%) vs strength (MPa))

GGBS value (%)

Stre

ngth

(MPa

)

Figure 1

Page 3: Relationship between the amount of GGBFS and Compressive Strength

Analysis (3 Days)

Trend Type R square value

Exponential 0.9168

Linear 0.9260

Logarithmic 0.9225

Polynomial 0.9408

Power 0.8800

For 3 days analysis, graph was plotted as shown in Figure 1. Then, best line fit was determined, together with equation of graph and R square value. There are 5 types of best fit line and their corresponding equation and R square value, as shown in Table 1.

Table 1: Value of R square for 3 days

Based on R square value, polynomial trend type is the best fit line, with a value of 0.9408 and corresponding equation as shown in Figure 1

Page 4: Relationship between the amount of GGBFS and Compressive Strength

7 Days (Best Trend Line Selection)

0 20 30 50 700.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0f(x) = 0.799635714285712 x² − 6.25116428571427 x + 44.01778R² = 0.600570901395164

Percentage of GGBS (%) vs strength (MPa)Polynomial (Percentage of GGBS (%) vs strength (MPa))

GGBS Value (%)

Stre

ngth

(MPa

)

Figure 2

Page 5: Relationship between the amount of GGBFS and Compressive Strength

Analysis (7 Days)

Trend Type R square value

Exponential 0.3905

Linear 0.4218

Logarithmic 0.4992

Polynomial 0.6006

Power 0.4596

For 3 days analysis, graph was plotted as shown in Figure 2. Then, best line fit was determined, together with equation of graph and R square value. There are 5 types of best fit line and their corresponding equation and R square value, as shown in Table 2

Table 2: Value of R square for 7 days

Based on R square value, polynomial trend type is the best fit line, with a value of 0.6006 and corresponding equation as shown in Figure 2

Page 6: Relationship between the amount of GGBFS and Compressive Strength

28 Days (Best Trend Line Selection)

0 20 30 50 7040.0

42.0

44.0

46.0

48.0

50.0

52.0

f(x) = 0.509521428571427 x² − 1.87053857142856 x + 46.59158R² = 0.781623474944022

Percentage of GGBS (%) vs strength (MPa)Polynomial (Percentage of GGBS (%) vs strength (MPa))

GGBS Value (%)

Stre

ngth

(MPa

)

Figure 3

Page 7: Relationship between the amount of GGBFS and Compressive Strength

Analysis (28 Days)

Trend Type R square value

Exponential 0.6262

Linear 0.6213

Logarithmic 0.4826

Polynomial 0.7816

Power 0.4901

For 3 days analysis, graph was plotted as shown in Figure 3. Then, best line fit was determined, together with equation of graph and R square value. There are 5 types of best fit line and their corresponding equation and R square value, as shown in Table 3

Table 3: Value of R square for 28 days

Based on R square value, polynomial trend type is the best fit line, with a value of 0.7816 and corresponding equation as shown in Figure 3