Analysis of relationship between strength compression and young modulus of red brick and white brick on application of strength and stiffness building construction with linear regression test

Citation: Sihombing J, Rayhan Farisi R, Risal Ardiansyah P (2020) Analysis of relationship between strength compression and young modulus of red brick and white brick on application of strength and stiffness building construction with linear regression test. J Civil Eng Environ Sci 6(2): 016-021. DOI: https://dx.doi.org/10.17352/2455-488X.000036 https://dx.doi.org/10.17352/jcees DOI: 2455-488X ISSN: E N G IN E E R IN G G R O U P


Introduction
These days, many construction walls of buildings are easily collapsed or damaged. This is caused by natural factors and human factors themselves. Natural factors are in the form of earthquakes, fl oods and other natural disasters, while human factors are caused wrongly in the selection of strong building materials as building wall construction. Therefore, the selection of raw materials for building wall construction is needed to reduce buildings that collapse due to natural or human factors. The selection of raw materials is based on the strength and stiffness values of these materials.
The strength and stiffness values in these bricks are different for each type of brick used. This is because there is a difference between one type of brick and another in the parameters of the young modulus and its compressive strength. This is very infl uential on the resilience of a building when subjected to a force when natural disasters occur and the resilience of a building within a certain period. In Indonesia, red brick and white brick is a material that is generally a need of the community for construction infrastructure facilities that are increasing with the times. For that reason, in this research we will conduct an experiment where we will analyze and relate the compressive strength values with the modulus of young white bricks and red bricks to determine suitable building materials for building wall constructions that have durability and stiffness values in accordance with the standard value of building walls.

Young modulus
Young's modulus is the ratio of normal tensile or compressive stress to strain. Young modulus depends on the age of the rock, aggregate properties and other compositions, loading speed, type and size of the test specimen.
According to Murdock and Brook [1], the actual modulus of elasticity or modulus at a certain time can be calculated by the following equation: Where : Ec = Modulus of elasticity 2 = Final stress 1 = First stress 1 = fi rst strain 2 = fi rst strain [2].

Compressive strength
Compressive strength or compression strength is the maximum magnitude of the broad unity load, which causes the concrete specimen to disintegrate when it is loaded with a certain compressive force produced by the press machine.
Testing is done by giving a load / pressure until the test object collapses (Tjokrodimulyo, 1996). To fi nd out the crushed stress of the test object is done by calculation: Where :

Regression test
Re gression analysis is the study of the relationship problem of several variables displayed in mathematical equations. Linear regression is a statistical method used to model the relationship between the dependent variable (dependent; response; Y) with one or more independent variables (independent, predictor, X). Correlation that is not followed by regression is a correlation between two variables that do not have a causal relationship, or a functional relationship.
Equations that are often used when wanting to test a data with a regression method are: a.
To fi nd constants To fi nd the regression coeffi cient

Buil ding wall
The wall is one of the building elements that functions to separate or form space. In terms of structure and construction there are two functions, namely as a structural wall and a fi ll or partition wall. Walls can be made of bricks, natural stone, wood and concrete in accordance with SNI [4][5][6].

Tools and materials
In this experiment, there are several tools and materials that must be prepared to get the compressive strength and modulus data of young bricks. The tools and materials include: vesta tester which will be used to produce compressive forces against bricks, calipers to measure the diameter and height of bricks, then there is a coring tool that functions to produce bricks in the form of cylinders, and the last tool is the balance sheet electron to measure the mass of a brick. As for the material, there are red bricks and white bricks that have been cored.

Work steps
In this experiment, to measure the compressive strength and modulus of young bricks, both red and white bricks, fi rst cast the bricks. After that, bricks are measured in diameter and height by using calipers. Then, measure the mass of the red brick and white brick using an electron balance. After that, the bricks are put into the Vesta tester to determine the compressive

Data analysis
From the experiments that have been carried out, the following data are obtained Tables 1-6.

Young modulus analysis
Young Modulus value is used in calculating rock stiffness.
The Young Modulus value for each rock is different, and can be found using the formula: Based on elasticity experiments, the data obtained are Strains, P, D, r, Ho, and g. To calculate the young modulus the             Based on the data obtained by modulus young and compressive strength values, have a positive tendency based on linear regression test. Which means that the modulus of young and compressive strength are directly proportional. This means that if rocks have a high modulus young value, the compressive strength value will be high, and conversely the lower the modulus young value, the compressive strength value will be low too. In Figure 4  types of bricks did not meet the SNI value. This is due to an error factor. However, the compressive strength and modulus of young white bricks are close to SNI standards compared to the compressive strength and modulus of young red brick. So white bricks are more suitable as construction materials of building walls than red bricks, because white bricks have high compressive strength values so that they have strength against the incoming force, and have a relatively high young modulus compared to red bricks so that they have elastic points that are higher and higher rigidity than red bricks.

Conclusion
Based on data obtained by modulus young and compressive strength values, has a positive tendency based on linear regression test. Which means that the modulus of young and compressive strength are directly proportional. This means that if rocks have a high modulus young value, the compressive strength value will be high, and conversely the lower the modulus young value, the compressive strength value will be low too, and white bricks are more suitable as construction material for building walls than red bricks, due to bricks white has a high compressive strength value so that it has strength to the incoming force, and has a relatively high modulus of young compared to red bricks so that it has a higher elastic point and higher rigidity than red bricks.