Numerical validation data of tensile stress zones and crack zones in bamboo reinforced concrete beams using the Fortran PowerStation 4.0 program

Numerical verification is carried out in order to control the compatibility of the BRC beam crack pattern with the stress contour at the ultimate load. The numerical method used is the finite element method (FEM) using the Fortran PowerStation 4.0 program. Material data entered is the elasticity modulus (E) and Poisson's ratio (ν). Ultimate load input data is taken from BRC beam testing in the laboratory. Bamboo reinforcement and concrete are considered to have the same displacement with a different elasticity modulus (E), so they experience different stresses. The triangle element is employed to model the plane-stress with two directions of displacement at each nodal point, so that each element has six degrees of freedom. The BRC beam tensile stress data from the Fortran PowerStation 4.0 program is processed into a tensile stress data table and becomes the Surfer program input data for mapping tensile stress zone images. Crack pattern data from laboratory beam testing is processed into crack zone pattern photo data and then compared to the tensile stress zone images. From the image data of the tensile stress zones and the crack zones of the BRC beam have compatibility. The Fortran PowerStation 4.0 programming language data in this article can be used for further research with the discretization of triangular elements in other cases. This article consists of a data table, a picture of a crack pattern zone, a drawing of tensile stress zones, and photo documentation. The data is related to “Enhancing bamboo reinforcement using a hose-clamp to increase bond-stress and slip resistance” [1].


Data
The discretization image data of the BRC beam and SRC beam with triangular elements is shown in Fig. 1 and Fig. 2. The reduction data of the stiffness of the BRC beam and the SRC beam after the initial crack occurs up until the beam collapses is shown in Table 1 and Table 2. The input data for the Fortran PowerStation 4.0 program for the BRC beam is shown in the following link: http://bit.ly/351FPqU, and the input data for the SRC beam is shown in the link: http://bit.ly/2MBqas9. The programming language data for the Fortran PowerStation 4.0 program with the discretization of triangular elements is shown in the link: http://bit.ly/2F17w8F.
The data of the load-displacement relationship of the BRC beam and SRC beam from experiments and FEM analyses is shown in Table 3, while the image data of the load-displacement relationship diagrams from experiments and FEM analyses is shown in Fig. 3. The displacement contours data in the X-direction and Y-direction of the Surfer program for the BRC beam is shown in Fig. 8 and Fig. 9, and the displacement contour data in the X-direction and Y-direction from the Surfer program for the SRC beam is shown in Fig. 12 and Fig. 13. 0 0 0 0 0 9 9 9 9 9 9 9 9 9 9 9 9 49 4 49 49 9 4 49 4 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 8 8 8

Value of the Data
This data is useful for researchers in developing bamboo reinforced concrete structures, especially for simple construction in areas of abundant bamboo. Data can be used for further insight and development, especially stress analysis, capacity, and behavior of bamboo reinforced concrete beams with strengthening reinforcement. This data contains a program that can be used as a reference in analyzing and calculating stresses of the BRC beam and SRC beam by triangular element discretizing. The added value of this data is in the programming language; Fortran PowerStation 4.0 can now be used generally in further research to analyze the displacement and stress of two-dimensional plane-stress elements. Table 1 The reduction data of the stiffness of the BRC beam after initial cracking occurs up until the ultimate load [2].  Table 2 The reduction data of the stiffness of the SRC beam after initial cracking occurs up until the ultimate load [2].   The table data of stress on the X-direction, Y-direction, and XY-direction from FEM analysis for the BRC beam is shown in the following link: http://bit.ly/2rDPeaI and the stress contour image data from the Surfer program is shown in Figs. 4, Fig. 6, and Fig. 7. The table data of stress on the X-direction, Ydirection, and XY-direction from FEM analysis for the SRC beam is shown in the following link: http:// bit.ly/2Q4Ihc1, while the stress contour image data from the Surfer program is shown in Figs. 5, Fig. 10, and Fig. 11. Photographs of crack pattern data and tensile stress contour data for the analysis of the compatibility of the zone are shown in Figs. 4 and 5.

Experimental design, materials, and methods
Numerical analysis was carried out with 2D and the experiments with 3D as shown in Fig. 15. Data from 2D numerical analysis obtained data of X-direction stress, Y-direction stress, XY-direction stress, X-direction deflection, and Y-direction deflection. While the data from the experiments only obtained data on crack patterns, loads, strain, and deflection. So that the validation of both focuses on X-direction stress or tensile stress that causes cracking and Y-direction deflection. The validation of the tensile stress zone and crack patterns zone is shown in Figs. 4 and 5 and the validation of deflection are shown in Table 3, Figs. 9, and Fig. 13. The validation of Y-direction stress, XY-direction stress, and Xdirection deflection are not done because experimental data are not obtained.  Data validation between laboratory data and numerical analysis is carried out through a series of activities, namely beam flexural testing in the laboratory, numerical analysis with finite element method (FEM), program simulation with Fortran PowerStation 4.0, and simulation with the Surfer program. Activities in the laboratory are flexural tests of the BRC beam and the SRC beam to obtain data on crack patterns, collapse patterns, and ultimate loads. The test settings for the BRC beam and the SRC beam are shown in Fig. 15. The geometry and details of the reinforcement of BRC beams and SRC beams are shown in Fig. 14.
The   The constitutive relationship analysis of the finite element method employs plane-stress theory. The triangle element is used to model the plane-stress element with two main displacement directions at each nodal point, so that the element has six degrees of freedom. The discretization of the beam plane using the triangular element is shown in Figs. 1 and 2. Modulus of elasticity (E) for each layer is calculated according to material conditions. Layers consisting of concrete and bamboo reinforcement are calculated using Eq. (1) [1], and for layers consisting of concrete and steel using Eq. (2) [3]. The solution to the plane-stress problem in the BRC beam and SRC beam is based on the stress-strain relationship as shown in Eq. (3) [1]. The main stresses on the BRC beam and SRC beam are calculated using Eq. (4) [1].    The steps for compiling the Fortran PowerStation 4.0 program data to get the beam tensile stress contour data are summarized as follows: Step 1. Discretization of the plane of the BRC beam and the SRC beam with the discretization of the triangular element, as shown in Figs. 1 and 2.
Step 2. Numbering of the triangular elements and the nodal points, as shown in Figs. 1 and 2.
Step 3. Collection and calculation of the geometry data and the beam material data, such as modulus of elasticity of materials (E), Poisson ratio (n), etc.
Step 4. Writing the programming language for the Fortran PowerStation 4.0 program for the triangular element, as shown in the following link: http://bit.ly/2F17w8F.  Step 5. Opening the Fortran PowerStation 4.0 program. As an example, the front view in the Fortran PowerStation 4.0 program is shown in the following link: http://bit.ly/2MTh22j.
Step 6. Writing programming language data (Step 4) in the Fortran PowerStation 4.0 program. As an example, a display of programming language is shown in the following link: http://bit.ly/2ZvZWMU.
Step 7. The Input DATA.DAT of the BRC beam and SRC beam in the Fortran PowerStation 4.0 program. The input data is shown in the following links: http://bit.ly/351FPqU and http://bit.ly/2MBqas9. An example of the input data display is shown in the following link: http://bit.ly/2u2K2xR.
Step 8. Running and processing the program analysis until there are no warnings and errors. If there are warnings and errors, check and correct the program data and input data.
Step 9. Downloading stress data X-direction, Y-direction, and XY-direction. Stress data is shown in the following link: http://bit.ly/2rDPeaI for the BRC beam stress, and http://bit.ly/2Q4Ihc1 for the SRC beam stress. For example, the display of stress data from the Fortran PowerStation 4.0 program is shown in the following link: http://bit.ly/2ZybLCd.
Step 10. Downloading displacement data X-direction and Y-direction. The displacement data for the BRC beam and SRC beam is shown in Table 3. An example of the displacement data display from the Fortran PowerStation 4.0 program is shown in the following link: http://bit.ly/2Q7j2Wp.
Step 11. Inputting stress data and displacement data on the Surfer program, running the program, and obtaining stress contour images data and displacement. Image data of stress contours and displacement are shown in Figs. 4e13.
Step 12. Validation of drawing data for tensile stress contours (X-direction stress) with beam crack patterns from laboratory tests.
Step 13. Obtaining crack zone image data and tensile stress zone contour data. Image data of crack zones and contour zones of tensile stress are shown in Figs. 4 and 5.

E
Modulus of elasticity E e The equivalent elasticity modulus of BRC beam or SRC beam E b Modulus of elasticity of bamboo reinforcement E c Modulus of elasticity of concrete E s Modulus of elasticity of steel reinforcement V b The relative volume of bamboo reinforcement in the calculated layer V c The relative volume of concrete in the calculated layer Strain of X-direction ε y Strain of Y-direction Y xy Shear strain of XY-direction