College Project

1. Statistical Analysis of the
Compressive Strength of Lightweight
Aggregate Concrete
Supervised by:
Prof. Rajesh Jugulum

2. Introduction:
Objectives:
Statistical analysis could help in having a better understanding of the material used in
many bridge constructions and interfere the durability and viability of these bridges.
For that, we consider the construction of Benicia Martine Bridge in California where
specimens were casted in cylinders of 4x8 in. Statistical analysis and probability
theory are used for the purpose of comparison between the compressive strength at
35 days and 5 years.
• Conduct a statistical analysis of the compressive strength of lightweight
aggregate concrete of Benicia Martine Bridge in California.
• To know how lightweight aggregate concrete ages in short and long term.

3. Parameter diagram
Input
Cement
Water
Sand
Lightweight Concrete
Control Factors
Compressive Strength
Temperature Control
Quality of material
Variations in mixing of concrete
Output
Lightweight bridge for easy
transportation
Extended life of bridge
Resistance to seismic events
Noise Factor
Weather
Seismic Activities
Concrete Staining
Moisture Penetration
Lightweight Concrete
Bridge

4. Sample data plot of compressive
strength (Anderson-Darling Method)
N Mean St Dev Minimum Maximum P-Value
35 11324.9 1350.0 7480.0 13217.0 0.1250
Null hypothesis H₀: Data follow a normal distribution
Alternative hypothesis H₁: Data do not follow a normal distribution

5. Historical evidence of the compressive
strength of concrete

6. Hypothesis Testing
Test:
Null hypothesis H₀: μ = 10269
Alternative hypothesis H₁: μ ≠ 10269
Result:
Variable N Mean StDev SE Mean 95% CI Z P-Value
Compressive
Strength
35 11324.9 1350 185.9 (10960.4,
11689.3)
5.68 < 0.0001

7. Hypothesis Testing
Test:
Null hypothesis H₀: μ = 10269
Alternative hypothesis H₁: μ < 10269
Result:
Variable N Mean StDev SE Mean 95% CI Upper
Bound
Z P-Value
Compressive
Strength
35 11324.9 1350 185.9 (10960.4,
11689.3)
5.68 1.00

8. Conclusion
• With the help of Hypothesis testing, the null hypothesis (μ = 10269) is
accepted and on basis of this we can conclude that the probability of
falling below the target specified strength essentially approaches zero,
which means concrete will never fall below its specified design strength
in the life time of the structure.
• From above analysis it is observed that the compressive strength of the
lightweight concrete increases with time. There has been a percent
increase of 10.28% from 35 days to 5 years.

9. THANK YOU
.
.