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Papers by ARNULFO LUEVANOS ROJAS

Research paper thumbnail of Un modelo matemático para momentos de empotramiento para dos tipos de cargas para sección transversal rectangular variable de forma parabólica

En este trabajo se desarrolla un modelo matemático para momentos de empotramiento para dos tipos ... more En este trabajo se desarrolla un modelo matemático para momentos de empotramiento para dos tipos diferentes de cargas en las vigas de sección transversal rectangular variable de forma parabólica. Las cargas aplicadas sobre la viga son: 1) carga uniformemente distribuida, 2) carga concentrada situada en cualquier parte de la longitud sobre la viga. Las propiedades de la sección transversal rectangular de la viga varía a lo largo de su eje, es decir, el ancho "b" es constante y la altura "h" varía a lo largo de la viga, esta variación es de tipo parabólico. El método de deformación consistente basado en la superposición de los efectos se utiliza para resolver tales problemas, y por medio de la teoría de Bernoulli-Euler se obtienen las deformaciones en cualquier parte de la viga. Los métodos tradicionales usados para obtener las deflexiones de miembros de sección transversal variable son por medio de la regla de Simpson, o alguna otra técnica para llevar a cabo la i...

Research paper thumbnail of Dinamica en sistemas de tuber´õas con movimientos diferentes en sus extremos Dinamica nos sistemas das tubulacoes com movimentos diferentes em suas extremidades Dynamics in systems of pipes with different movements in its ends

Research paper thumbnail of Dinámica en sistemas de tuberıas con movimientos diferentes en sus extremos

Research paper thumbnail of A general model for rectangular footings part II: modeling for design

DYNA

This paper presents a general model for the design to obtain the thickness and reinforcing steel ... more This paper presents a general model for the design to obtain the thickness and reinforcing steel areas of rectangular footings that support from 1 to “n” columns aligned on a longitudinal axis. The pressure diagram is considered linear. Some recently published papers are restricted to certain types of footings as the rectangular isolated footings, and rectangular combined footings that support two columns. The first part of this paper shows the minimum soil area that supports 1 to “n” columns aligned on a longitudinal axis. Three numerical examples are presented for design of rectangular footings subjected to an axial load and two orthogonal moments in each column that supports one, two and three columns. The main advantage of this document over other documents is: this model can be applied for one or more columns supported on a rectangular footing (unrestricted on its sides, one side restricted and two opposite sides restricted).

Research paper thumbnail of A general model for rectangular footings part I: optimal surface

Dyna-colombia, May 31, 2022

This paper shows a general model of rectangular footings to obtain the soil minimum contact area ... more This paper shows a general model of rectangular footings to obtain the soil minimum contact area (optimal surface) that support from 1 to n columns aligned on a longitudinal axis. The proposed model considers that the soil pressure varies linearly. The recently published models have been presented individually to obtain the soil contact area for rectangular isolated footings, rectangular combined footings that support two columns, these models present the equations, but it is not guaranteed to be the minimum area. The present research complies with the models mentioned above (Luévanos-Rojas 2013, 2016) and can be applied to footings that support 3 or more columns, and also the minimum area is guaranteed. Also, numerical problems are shown the soil minimum contact surface for rectangular isolated footings, and rectangular combined footings that support two and three columns (unrestricted on its sides, one side restricted and two opposite sides restricted).

Research paper thumbnail of A new model for T-shaped combined footings part I: Optimal dimensioning

Geomechanics and Engineering, 2018

Research paper thumbnail of A comparative study for design of boundary combined footings of trapezoidal and rectangular forms using new models

Coupled Systems Mechanics, Dec 1, 2017

Research paper thumbnail of A Model for the T-shaped Beams with Straight Haunches for Uniformly Distributed Load

Journal of Physics: Conference Series, 2022

This paper shows a model for the T-shaped beams with straight haunches under uniformly distribute... more This paper shows a model for the T-shaped beams with straight haunches under uniformly distributed load that considers shear and bending deformations to obtain the fixed-end moments, carry-over and stiffness factors, which is the main part of this investigation. The methodology used is the conjugate beam method to obtain the rotations in supports and by the superposition method is solved this problems type. The current model considers only the bending deformations, and some authors consider bending and shear deformations for some proportions that are shown in tables. A comparison among the proposed approach that considers shear and bending deformations against the current model that considers bending deformations only are presented in the tables and graphics. A significant advantage of this paper over any other document is that is not limited to certain dimensions or proportions, and it can also be used for TT-shaped or TTT-shaped beams, which is commonly applied in highway bridges.

Research paper thumbnail of T-section beams with straight haunches under uniformly distributed load

The Journal of Engineering Research, 2018

Beams are classified according to its cross section: prismatic beam whose cross section is consta... more Beams are classified according to its cross section: prismatic beam whose cross section is constant along its entire length and non-prismatic beam whose cross section is not constant along its entire length. This paper shows a model for non-prismatic T-section beams with straight haunches under uniformly distributed load. Bending and shear deformations are considered to obtain the fixed-end moments and carry-over and stiffness factors, which are the main parts of this research. The superposition method is used to solve these types of beams, and the conjugate beam method by an exact integration is used to find the deformations at any location in the beams. The superposition method consists in splitting a statically indeterminate problem into separate statically determinate problems; that is, the slope or deflection at any point on the beam is equal to the resultant of the slopes or deflections at that point caused by each of the loads acting separately. The traditional model does not...

Research paper thumbnail of Deflections and rotations in rectangular beams with straight haunches under uniformly distributed load considering the shear deformations

Smart Structures and Systems, Dec 1, 2018

This paper presents a model of the elastic curve for rectangular beams with straight haunches und... more This paper presents a model of the elastic curve for rectangular beams with straight haunches under uniformly distributed load and moments in the ends considering the bending and shear deformations (Timoshenko Theory) to obtain the deflections and rotations on the beam, which is the main part of this research. The traditional model of the elastic curve for rectangular beams under uniformly distributed load considers only the bending deformations (Euler-Bernoulli Theory). Also, a comparison is made between the proposed and traditional model of simply supported beams with respect to the rotations in two supports and the maximum deflection of the beam. Also, another comparison is made for beams fixed at both ends with respect to the moments and reactions in the support A, and the maximum deflection of the beam. Results show that the proposed model is greater for simply supported beams in the maximum deflection and the traditional model is greater for beams fixed at both ends in the maximum deflection. Then, the proposed model is more appropriate and safe with respect the traditional model for structural analysis, because the shear forces and bending moments are present in any type of structure and the bending and shear deformations appear.

Research paper thumbnail of Mathematical Models at the Olympic Games to Predict Road Events

International Journal of Innovative Computing, Information and Control, 2018

Research paper thumbnail of A Mathematical Model for Dimensioning of Square Isolated Footings Using Optimization Techniques: General Case

International Journal of Innovative Computing, Information and Control, 2017

This paper presents a mathematical model for dimensioning of square footings using optimization t... more This paper presents a mathematical model for dimensioning of square footings using optimization techniques (general case), i.e., the column is localized anywhere of the footing to obtain the most economical contact surface on the soil, when the load that must support said structural member is applied (axial load and moments in two directions). The classical model is developed by test and error, i.e., a dimension is proposed, and the equation of the biaxial bending is used to obtain the pressure acting on the four corners of the square footing, which must meet the conditions as the following: 1) the minimum pressure should be equal or greater than zero, because the soil cannot withstand tensile; 2) The maximum pressure must be equal or less than the allowable capacity that can withstand the soil. Therefore, normal practice to use the classic model will not be a recommended solution. Then, the proposed model is best option, since it is more economic.

Research paper thumbnail of Forecasting a Stores Credit Plan Using the Markov Chains

International Journal of Innovative Computing, Information and Control, 2017

Research paper thumbnail of Fixed-End Moments for Beams Subjected to a Concentrated Force Localized Anywhere Taking into Account the Shear Deformations

International Journal of Innovative Computing, Information and Control, 2015

ABSTRACT This paper presents a mathematical model for beams subjected to a concentrated force loc... more ABSTRACT This paper presents a mathematical model for beams subjected to a concentrated force localized anywhere of member taking into account the shear deformations to obtain the fixed-end moments. The consistent deformation method is used to solve such problems; a method based on the superposition of its effects and by the Bernoulli-Euler theory are obtained the deformations anywhere of the beam. Traditional methods used for beams subjected to a concentrated force are not considered the shear deformations. Besides the effectiveness and accuracy of the developed method, a significant advantage is that the displacements, fixed-end moments are calculated for any cross section of the beam using the respective integral representations as mathematical formulas.

Research paper thumbnail of Modelling for Mechanical Elements of Rectangular Members with Straight Haunches Using Software: Part 1

International Journal of Innovative Computing, Information and Control, 2016

Research paper thumbnail of Optimization Models Applied to Crops in the Agricultural Production of Mexico

Innovative Computing Information and Control Express Letters, Part B: Applications, 2017

Research paper thumbnail of Mathematical Modeling for Forecasting the Gross Domestic Product of Mexico

International Journal of Innovative Computing, Information and Control, 2018

Research paper thumbnail of A Different Solution for the Binomial Distribution with Application to Accounting

ICIC Express Letters, 2017

Research paper thumbnail of A New Mathematical Model for Design of Square Isolated Footings for General Case

International Journal of Innovative Computing, Information and Control, 2017

Research paper thumbnail of Optimal Model for an Agricultural Company That Operates Several Farms

ICIC Express Letters, 2018

Research paper thumbnail of Un modelo matemático para momentos de empotramiento para dos tipos de cargas para sección transversal rectangular variable de forma parabólica

En este trabajo se desarrolla un modelo matemático para momentos de empotramiento para dos tipos ... more En este trabajo se desarrolla un modelo matemático para momentos de empotramiento para dos tipos diferentes de cargas en las vigas de sección transversal rectangular variable de forma parabólica. Las cargas aplicadas sobre la viga son: 1) carga uniformemente distribuida, 2) carga concentrada situada en cualquier parte de la longitud sobre la viga. Las propiedades de la sección transversal rectangular de la viga varía a lo largo de su eje, es decir, el ancho "b" es constante y la altura "h" varía a lo largo de la viga, esta variación es de tipo parabólico. El método de deformación consistente basado en la superposición de los efectos se utiliza para resolver tales problemas, y por medio de la teoría de Bernoulli-Euler se obtienen las deformaciones en cualquier parte de la viga. Los métodos tradicionales usados para obtener las deflexiones de miembros de sección transversal variable son por medio de la regla de Simpson, o alguna otra técnica para llevar a cabo la i...

Research paper thumbnail of Dinamica en sistemas de tuber´õas con movimientos diferentes en sus extremos Dinamica nos sistemas das tubulacoes com movimentos diferentes em suas extremidades Dynamics in systems of pipes with different movements in its ends

Research paper thumbnail of Dinámica en sistemas de tuberıas con movimientos diferentes en sus extremos

Research paper thumbnail of A general model for rectangular footings part II: modeling for design

DYNA

This paper presents a general model for the design to obtain the thickness and reinforcing steel ... more This paper presents a general model for the design to obtain the thickness and reinforcing steel areas of rectangular footings that support from 1 to “n” columns aligned on a longitudinal axis. The pressure diagram is considered linear. Some recently published papers are restricted to certain types of footings as the rectangular isolated footings, and rectangular combined footings that support two columns. The first part of this paper shows the minimum soil area that supports 1 to “n” columns aligned on a longitudinal axis. Three numerical examples are presented for design of rectangular footings subjected to an axial load and two orthogonal moments in each column that supports one, two and three columns. The main advantage of this document over other documents is: this model can be applied for one or more columns supported on a rectangular footing (unrestricted on its sides, one side restricted and two opposite sides restricted).

Research paper thumbnail of A general model for rectangular footings part I: optimal surface

Dyna-colombia, May 31, 2022

This paper shows a general model of rectangular footings to obtain the soil minimum contact area ... more This paper shows a general model of rectangular footings to obtain the soil minimum contact area (optimal surface) that support from 1 to n columns aligned on a longitudinal axis. The proposed model considers that the soil pressure varies linearly. The recently published models have been presented individually to obtain the soil contact area for rectangular isolated footings, rectangular combined footings that support two columns, these models present the equations, but it is not guaranteed to be the minimum area. The present research complies with the models mentioned above (Luévanos-Rojas 2013, 2016) and can be applied to footings that support 3 or more columns, and also the minimum area is guaranteed. Also, numerical problems are shown the soil minimum contact surface for rectangular isolated footings, and rectangular combined footings that support two and three columns (unrestricted on its sides, one side restricted and two opposite sides restricted).

Research paper thumbnail of A new model for T-shaped combined footings part I: Optimal dimensioning

Geomechanics and Engineering, 2018

Research paper thumbnail of A comparative study for design of boundary combined footings of trapezoidal and rectangular forms using new models

Coupled Systems Mechanics, Dec 1, 2017

Research paper thumbnail of A Model for the T-shaped Beams with Straight Haunches for Uniformly Distributed Load

Journal of Physics: Conference Series, 2022

This paper shows a model for the T-shaped beams with straight haunches under uniformly distribute... more This paper shows a model for the T-shaped beams with straight haunches under uniformly distributed load that considers shear and bending deformations to obtain the fixed-end moments, carry-over and stiffness factors, which is the main part of this investigation. The methodology used is the conjugate beam method to obtain the rotations in supports and by the superposition method is solved this problems type. The current model considers only the bending deformations, and some authors consider bending and shear deformations for some proportions that are shown in tables. A comparison among the proposed approach that considers shear and bending deformations against the current model that considers bending deformations only are presented in the tables and graphics. A significant advantage of this paper over any other document is that is not limited to certain dimensions or proportions, and it can also be used for TT-shaped or TTT-shaped beams, which is commonly applied in highway bridges.

Research paper thumbnail of T-section beams with straight haunches under uniformly distributed load

The Journal of Engineering Research, 2018

Beams are classified according to its cross section: prismatic beam whose cross section is consta... more Beams are classified according to its cross section: prismatic beam whose cross section is constant along its entire length and non-prismatic beam whose cross section is not constant along its entire length. This paper shows a model for non-prismatic T-section beams with straight haunches under uniformly distributed load. Bending and shear deformations are considered to obtain the fixed-end moments and carry-over and stiffness factors, which are the main parts of this research. The superposition method is used to solve these types of beams, and the conjugate beam method by an exact integration is used to find the deformations at any location in the beams. The superposition method consists in splitting a statically indeterminate problem into separate statically determinate problems; that is, the slope or deflection at any point on the beam is equal to the resultant of the slopes or deflections at that point caused by each of the loads acting separately. The traditional model does not...

Research paper thumbnail of Deflections and rotations in rectangular beams with straight haunches under uniformly distributed load considering the shear deformations

Smart Structures and Systems, Dec 1, 2018

This paper presents a model of the elastic curve for rectangular beams with straight haunches und... more This paper presents a model of the elastic curve for rectangular beams with straight haunches under uniformly distributed load and moments in the ends considering the bending and shear deformations (Timoshenko Theory) to obtain the deflections and rotations on the beam, which is the main part of this research. The traditional model of the elastic curve for rectangular beams under uniformly distributed load considers only the bending deformations (Euler-Bernoulli Theory). Also, a comparison is made between the proposed and traditional model of simply supported beams with respect to the rotations in two supports and the maximum deflection of the beam. Also, another comparison is made for beams fixed at both ends with respect to the moments and reactions in the support A, and the maximum deflection of the beam. Results show that the proposed model is greater for simply supported beams in the maximum deflection and the traditional model is greater for beams fixed at both ends in the maximum deflection. Then, the proposed model is more appropriate and safe with respect the traditional model for structural analysis, because the shear forces and bending moments are present in any type of structure and the bending and shear deformations appear.

Research paper thumbnail of Mathematical Models at the Olympic Games to Predict Road Events

International Journal of Innovative Computing, Information and Control, 2018

Research paper thumbnail of A Mathematical Model for Dimensioning of Square Isolated Footings Using Optimization Techniques: General Case

International Journal of Innovative Computing, Information and Control, 2017

This paper presents a mathematical model for dimensioning of square footings using optimization t... more This paper presents a mathematical model for dimensioning of square footings using optimization techniques (general case), i.e., the column is localized anywhere of the footing to obtain the most economical contact surface on the soil, when the load that must support said structural member is applied (axial load and moments in two directions). The classical model is developed by test and error, i.e., a dimension is proposed, and the equation of the biaxial bending is used to obtain the pressure acting on the four corners of the square footing, which must meet the conditions as the following: 1) the minimum pressure should be equal or greater than zero, because the soil cannot withstand tensile; 2) The maximum pressure must be equal or less than the allowable capacity that can withstand the soil. Therefore, normal practice to use the classic model will not be a recommended solution. Then, the proposed model is best option, since it is more economic.

Research paper thumbnail of Forecasting a Stores Credit Plan Using the Markov Chains

International Journal of Innovative Computing, Information and Control, 2017

Research paper thumbnail of Fixed-End Moments for Beams Subjected to a Concentrated Force Localized Anywhere Taking into Account the Shear Deformations

International Journal of Innovative Computing, Information and Control, 2015

ABSTRACT This paper presents a mathematical model for beams subjected to a concentrated force loc... more ABSTRACT This paper presents a mathematical model for beams subjected to a concentrated force localized anywhere of member taking into account the shear deformations to obtain the fixed-end moments. The consistent deformation method is used to solve such problems; a method based on the superposition of its effects and by the Bernoulli-Euler theory are obtained the deformations anywhere of the beam. Traditional methods used for beams subjected to a concentrated force are not considered the shear deformations. Besides the effectiveness and accuracy of the developed method, a significant advantage is that the displacements, fixed-end moments are calculated for any cross section of the beam using the respective integral representations as mathematical formulas.

Research paper thumbnail of Modelling for Mechanical Elements of Rectangular Members with Straight Haunches Using Software: Part 1

International Journal of Innovative Computing, Information and Control, 2016

Research paper thumbnail of Optimization Models Applied to Crops in the Agricultural Production of Mexico

Innovative Computing Information and Control Express Letters, Part B: Applications, 2017

Research paper thumbnail of Mathematical Modeling for Forecasting the Gross Domestic Product of Mexico

International Journal of Innovative Computing, Information and Control, 2018

Research paper thumbnail of A Different Solution for the Binomial Distribution with Application to Accounting

ICIC Express Letters, 2017

Research paper thumbnail of A New Mathematical Model for Design of Square Isolated Footings for General Case

International Journal of Innovative Computing, Information and Control, 2017

Research paper thumbnail of Optimal Model for an Agricultural Company That Operates Several Farms

ICIC Express Letters, 2018