Civil & Structural: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=192
en-us2021 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemThu, 28 Oct 2021 04:50:02 GMTThu, 28 Oct 2021 04:50:02 GMTNew applications in the Civil & Structural categoryhttps://www.maplesoft.com/images/Application_center_hp.jpgCivil & Structural: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=192
Damped Forced Movement
https://www.maplesoft.com/applications/view.aspx?SID=154665&ref=Feed
In this application, a differential equation of the forced type is quickly solved. Just enter the initial conditions first and then the values of m, beta and kapa. Finally choose the F(t) that corresponds to your problem. Developed entirely in Maple for engineering students. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154665/mvforz.png" alt="Damped Forced Movement" style="max-width: 25%;" align="left"/>In this application, a differential equation of the forced type is quickly solved. Just enter the initial conditions first and then the values of m, beta and kapa. Finally choose the F(t) that corresponds to your problem. Developed entirely in Maple for engineering students. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154665&ref=FeedTue, 05 Jan 2021 05:00:00 ZLenin Araujo CastilloLenin Araujo CastilloMinimal Road Radius - From a physics educator's perspective
https://www.maplesoft.com/applications/view.aspx?SID=154648&ref=Feed
This problem solves for the minimal radius of curvature for designing and building a banked curve on a road assuming a constant speed and elevation.
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It is written using the modern mechanics introductory physics approach of Chabay and Sherwood and demonstrates the pedagogical value of Maple's ability to teach physics and to solve problems starting from fundamental principles, i.e., a top-down approach. This is in contrast to most computational systems where one codes starting from a specific example before implementing the fundamental principles.<img src="https://www.maplesoft.com/view.aspx?si=154648/Banked_Curve_Image.jpg" alt="Minimal Road Radius - From a physics educator's perspective" style="max-width: 25%;" align="left"/>This problem solves for the minimal radius of curvature for designing and building a banked curve on a road assuming a constant speed and elevation.
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It is written using the modern mechanics introductory physics approach of Chabay and Sherwood and demonstrates the pedagogical value of Maple's ability to teach physics and to solve problems starting from fundamental principles, i.e., a top-down approach. This is in contrast to most computational systems where one codes starting from a specific example before implementing the fundamental principles.https://www.maplesoft.com/applications/view.aspx?SID=154648&ref=FeedMon, 15 Jun 2020 04:00:00 ZProf. Scot GouldProf. Scot GouldMinimum Road Radius for Highway Superelevation
https://www.maplesoft.com/applications/view.aspx?SID=154647&ref=Feed
When a vehicle travels around a curve, a centripetal force is needed to keep the vehicle on the road. If the road is completely horizontal, this force is entirely provided by side friction (i.e. the friction of the tires on the road).
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However, road curves are usually banked - the outer edge is higher than the inner edge. This uses the weight of the vehicle to help keep the vehicle on the road, and is called superelevation.
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In this application, we derive an equation that describes the relationship between velocity, side friction, road radius and superelevation for a point-mass vehicle traveling around a bend. This relationship is then rearranged to give an explicit equation for the road radius.
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This equation is then used to calculate the road radius required to maintain the trajectory of a vehicle as it travels around a bend. For a specific set of parameters, the calculated road radius matches the minimum road radius given in the AASHTO Green Book.<img src="https://www.maplesoft.com/view.aspx?si=154647/superelevation.png" alt="Minimum Road Radius for Highway Superelevation" style="max-width: 25%;" align="left"/>When a vehicle travels around a curve, a centripetal force is needed to keep the vehicle on the road. If the road is completely horizontal, this force is entirely provided by side friction (i.e. the friction of the tires on the road).
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However, road curves are usually banked - the outer edge is higher than the inner edge. This uses the weight of the vehicle to help keep the vehicle on the road, and is called superelevation.
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In this application, we derive an equation that describes the relationship between velocity, side friction, road radius and superelevation for a point-mass vehicle traveling around a bend. This relationship is then rearranged to give an explicit equation for the road radius.
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This equation is then used to calculate the road radius required to maintain the trajectory of a vehicle as it travels around a bend. For a specific set of parameters, the calculated road radius matches the minimum road radius given in the AASHTO Green Book.https://www.maplesoft.com/applications/view.aspx?SID=154647&ref=FeedWed, 03 Jun 2020 04:00:00 ZSamir KhanSamir KhanHighway Pavement Design using the CALTRANS method
https://www.maplesoft.com/applications/view.aspx?SID=154646&ref=Feed
A highway pavement is several layers of materials above the natural soil. This application helps you design a flexible pavement using the approach outlined in the Highway Design Manual (6th edition) published by the California Department of Transportation (CALTRANS). Specifically, this application will determine the thickness of the subbase, base and asphalt concrete layers.<img src="https://www.maplesoft.com/view.aspx?si=154646/caltrans_highway_pavement.png" alt="Highway Pavement Design using the CALTRANS method" style="max-width: 25%;" align="left"/>A highway pavement is several layers of materials above the natural soil. This application helps you design a flexible pavement using the approach outlined in the Highway Design Manual (6th edition) published by the California Department of Transportation (CALTRANS). Specifically, this application will determine the thickness of the subbase, base and asphalt concrete layers.https://www.maplesoft.com/applications/view.aspx?SID=154646&ref=FeedFri, 29 May 2020 04:00:00 ZSamir KhanSamir KhanSpatially Varied Open-Channel Flow with Increasing Discharge
https://www.maplesoft.com/applications/view.aspx?SID=154645&ref=Feed
Consider a long rectangular concrete channel that ends in an abrupt freefall, with an inflow of water along its length.
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This application will calculate the profile of the water surface from the freefall to a specified distance upstream by numerically solving the governing differential equation.
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For a subcritical flow, downstream conditions determine the water surface profile. The water depth reaches the critical height (i.e. the minimum energy height) at a short distance before the freefall - this is the boundary condition on the solution of the governing differential equation.<img src="https://www.maplesoft.com/view.aspx?si=154645/Spatially_Varied_Open-Channel_Flow_with_Increasing_Discharge.png" alt="Spatially Varied Open-Channel Flow with Increasing Discharge" style="max-width: 25%;" align="left"/>Consider a long rectangular concrete channel that ends in an abrupt freefall, with an inflow of water along its length.
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This application will calculate the profile of the water surface from the freefall to a specified distance upstream by numerically solving the governing differential equation.
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For a subcritical flow, downstream conditions determine the water surface profile. The water depth reaches the critical height (i.e. the minimum energy height) at a short distance before the freefall - this is the boundary condition on the solution of the governing differential equation.https://www.maplesoft.com/applications/view.aspx?SID=154645&ref=FeedMon, 25 May 2020 04:00:00 ZSamir KhanSamir KhanGradually Varied Flow in a Trapezoidal Channel
https://www.maplesoft.com/applications/view.aspx?SID=154642&ref=Feed
Water flows along a gently sloped trapezoidal channel; this is known as gradually varied flow.
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As the flow progresses along the channel, the water depth eventually reaches a uniform depth that no longer changes with distance along the channel; this is known as the normal depth.
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This application derives a fully analytical differential equation for gradually varied flow in a trapezoidal channel. The differential equation is solved numerically, and the resulting water surface profile is plotted.<img src="https://www.maplesoft.com/view.aspx?si=154642/Trapezoidal_Channel.png" alt="Gradually Varied Flow in a Trapezoidal Channel" style="max-width: 25%;" align="left"/>Water flows along a gently sloped trapezoidal channel; this is known as gradually varied flow.
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As the flow progresses along the channel, the water depth eventually reaches a uniform depth that no longer changes with distance along the channel; this is known as the normal depth.
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This application derives a fully analytical differential equation for gradually varied flow in a trapezoidal channel. The differential equation is solved numerically, and the resulting water surface profile is plotted.https://www.maplesoft.com/applications/view.aspx?SID=154642&ref=FeedThu, 21 May 2020 04:00:00 ZSamir KhanSamir KhanFirst equilibrium condition
https://www.maplesoft.com/applications/view.aspx?SID=154624&ref=Feed
With this application our students of science and engineering in the areas of physics will check the first condition of balance using Maple technology. Only with entering mass and angles we obtain graphs and data for a better interpretation.<img src="https://www.maplesoft.com/view.aspx?si=154624/first_eq.png" alt="First equilibrium condition" style="max-width: 25%;" align="left"/>With this application our students of science and engineering in the areas of physics will check the first condition of balance using Maple technology. Only with entering mass and angles we obtain graphs and data for a better interpretation.https://www.maplesoft.com/applications/view.aspx?SID=154624&ref=FeedWed, 01 Apr 2020 04:00:00 ZLenin Araujo CastilloLenin Araujo CastilloFitting Pump Test Data from an Aquifer to the Theis Equation
https://www.maplesoft.com/applications/view.aspx?SID=154625&ref=Feed
Storage coefficient and transmissivity are important quantities in describing an aquifer. Briefly,
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<LI>Storage coefficient measures how much water flows from an aquifer
<LI>Transmissivity measures how easily water flows from an aquifer
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These quantities are usually found by fitting pump test data to the Theis model of groundwater flow in an aquifer.
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In the past, unwieldy graphical approaches have been employed to fit the Theis equation; these are now unnecessary given the computational flexibility of tools like Maple.<img src="https://www.maplesoft.com/view.aspx?si=154625/Theis.png" alt="Fitting Pump Test Data from an Aquifer to the Theis Equation" style="max-width: 25%;" align="left"/>Storage coefficient and transmissivity are important quantities in describing an aquifer. Briefly,
<UL>
<LI>Storage coefficient measures how much water flows from an aquifer
<LI>Transmissivity measures how easily water flows from an aquifer
</UL>
These quantities are usually found by fitting pump test data to the Theis model of groundwater flow in an aquifer.
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In the past, unwieldy graphical approaches have been employed to fit the Theis equation; these are now unnecessary given the computational flexibility of tools like Maple.https://www.maplesoft.com/applications/view.aspx?SID=154625&ref=FeedMon, 30 Mar 2020 04:00:00 ZSamir KhanSamir KhanPole simulation with tensions
https://www.maplesoft.com/applications/view.aspx?SID=154577&ref=Feed
Application developed using Maple and MapleSim. You can observe the vector analysis using Maple and the simulation using MapleSim. Also included a video of the result. It is a simple structure. A pole fastened by two cables and a force applied to the top. The results are to calculate tensions one and two. Consider the mass of each rope. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154577/structure.png" alt="Pole simulation with tensions" style="max-width: 25%;" align="left"/>Application developed using Maple and MapleSim. You can observe the vector analysis using Maple and the simulation using MapleSim. Also included a video of the result. It is a simple structure. A pole fastened by two cables and a force applied to the top. The results are to calculate tensions one and two. Consider the mass of each rope. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154577&ref=FeedMon, 14 Oct 2019 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloPlot of curvature and radius of curvature
https://www.maplesoft.com/applications/view.aspx?SID=154486&ref=Feed
This app is basically made for engineering students. Calculate the curvature and radius of curvature of two trajectories given its vector position for times greater than zero seconds. You will observe the graphs Curvature vs time and also radius of curvature vs time and finally the graphs of the two trajectories. A student of civil engineering can use this app without problem to compare if the two highways are parallel and optimal for its construction. Each graph with its corresponding data table and its respective equation. In spanish.<img src="https://www.maplesoft.com/view.aspx?si=154486/radcurv.png" alt="Plot of curvature and radius of curvature" style="max-width: 25%;" align="left"/>This app is basically made for engineering students. Calculate the curvature and radius of curvature of two trajectories given its vector position for times greater than zero seconds. You will observe the graphs Curvature vs time and also radius of curvature vs time and finally the graphs of the two trajectories. A student of civil engineering can use this app without problem to compare if the two highways are parallel and optimal for its construction. Each graph with its corresponding data table and its respective equation. In spanish.https://www.maplesoft.com/applications/view.aspx?SID=154486&ref=FeedMon, 03 Sep 2018 04:00:00 ZLenin Araujo CastilloLenin Araujo CastilloFree movement damped and not damped
https://www.maplesoft.com/applications/view.aspx?SID=154485&ref=Feed
With this app we solve problems of muffled and undamped movement. In the following steps:
- We select mass, rigidity and damping coefficient.
- We solve without initial conditions.
- We set the initial conditions with the buttons and sliders.
- We show the solution with its respective graph.
- We chose the time "t" to calculate: displacement, verlocity and acceleration.
- Click on the button evaluating and graphing. To show the respective graphs.
Creating for engineering students.
In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154485/masrest.png" alt="Free movement damped and not damped" style="max-width: 25%;" align="left"/>With this app we solve problems of muffled and undamped movement. In the following steps:
- We select mass, rigidity and damping coefficient.
- We solve without initial conditions.
- We set the initial conditions with the buttons and sliders.
- We show the solution with its respective graph.
- We chose the time "t" to calculate: displacement, verlocity and acceleration.
- Click on the button evaluating and graphing. To show the respective graphs.
Creating for engineering students.
In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154485&ref=FeedSat, 01 Sep 2018 04:00:00 ZLenin Araujo CastilloLenin Araujo CastilloParabolic Suspension Cable
https://www.maplesoft.com/applications/view.aspx?SID=154412&ref=Feed
A cable is suspended between two supports.
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This application derives a symbolic expression that describes the relationship between the cable length, span and sag.
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Given values for the length and sag, this application then calculates the span.<img src="https://www.maplesoft.com/view.aspx?si=154412/image.png" alt="Parabolic Suspension Cable" style="max-width: 25%;" align="left"/>A cable is suspended between two supports.
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This application derives a symbolic expression that describes the relationship between the cable length, span and sag.
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Given values for the length and sag, this application then calculates the span.https://www.maplesoft.com/applications/view.aspx?SID=154412&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir KhanModal analysis of shear buildings
https://www.maplesoft.com/applications/view.aspx?SID=154393&ref=Feed
A comprehensive modal analysis of an arbitrary multistory shear building having rigid beams and lumped mass at floor levels is obtained. Angular frequencies (rad/sec), frequencies (Hz), periods (sec), modal stiffness (N/m), modal damping (N.sec/m), modal damping ratio and standard normalized amplitude ratios (for unit specific modal mass) are presented.<BR><BR>
The program is able to analyze free vibration for initial displacement and/or velocity of floors as well as forced vibration including support movement or acceleration and floor dynamic forces. Generalized series expansion with the high accuracy can be used in the case of complicated dynamic load functions to solve ODEs of motion. The diagrams of displacements and shear forces of stories as well as base overturning moment in an arbitrary time interval are plotted. Moreover, the maximum of absolute amount and extremum amount of mentioned functions (without using approximation methods like the SRSS) are calculated. The results like the mass participation factors and spatial distribution of earthquake can be exported to Excel. It is noteworthy to mention that the program detects number of required time intervals and consequently obtains the exact solutions. The application calculates vibration for some special cases like the unknown function of horizontal earth acceleration. The effective modal mass and effective modal height can be exported as a figure. The application includes some examples about the blast load-induced structural response and resonance phenomenon.<img src="https://www.maplesoft.com/view.aspx?si=154393/displacement.PNG" alt="Modal analysis of shear buildings" style="max-width: 25%;" align="left"/>A comprehensive modal analysis of an arbitrary multistory shear building having rigid beams and lumped mass at floor levels is obtained. Angular frequencies (rad/sec), frequencies (Hz), periods (sec), modal stiffness (N/m), modal damping (N.sec/m), modal damping ratio and standard normalized amplitude ratios (for unit specific modal mass) are presented.<BR><BR>
The program is able to analyze free vibration for initial displacement and/or velocity of floors as well as forced vibration including support movement or acceleration and floor dynamic forces. Generalized series expansion with the high accuracy can be used in the case of complicated dynamic load functions to solve ODEs of motion. The diagrams of displacements and shear forces of stories as well as base overturning moment in an arbitrary time interval are plotted. Moreover, the maximum of absolute amount and extremum amount of mentioned functions (without using approximation methods like the SRSS) are calculated. The results like the mass participation factors and spatial distribution of earthquake can be exported to Excel. It is noteworthy to mention that the program detects number of required time intervals and consequently obtains the exact solutions. The application calculates vibration for some special cases like the unknown function of horizontal earth acceleration. The effective modal mass and effective modal height can be exported as a figure. The application includes some examples about the blast load-induced structural response and resonance phenomenon.https://www.maplesoft.com/applications/view.aspx?SID=154393&ref=FeedWed, 14 Feb 2018 05:00:00 ZDr. Abbas HeydariDr. Abbas HeydariGenerator of exercises with vectors
https://www.maplesoft.com/applications/view.aspx?SID=154371&ref=Feed
Application created for teachers. This works to evaluate the students on the blackboard simultaneously on the topics of vector sum, direction, unit vector and projections. Perform the generation of exercises through patterns so that teachers can rescue their answers. Created professors of universities and engineering students. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154371/appteach.png" alt="Generator of exercises with vectors" style="max-width: 25%;" align="left"/>Application created for teachers. This works to evaluate the students on the blackboard simultaneously on the topics of vector sum, direction, unit vector and projections. Perform the generation of exercises through patterns so that teachers can rescue their answers. Created professors of universities and engineering students. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154371&ref=FeedSun, 03 Dec 2017 05:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloKinematics Curvilinear
https://www.maplesoft.com/applications/view.aspx?SID=154269&ref=Feed
With this application you can calculate the components of the acceleration. The scalar and vector components of the tangent and the normal. In addition to curvilinear kinetics in polar coordinates. It can be used in different engineers, especially mechanical, civil and more.
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In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154269/kc.png" alt="Kinematics Curvilinear" style="max-width: 25%;" align="left"/>With this application you can calculate the components of the acceleration. The scalar and vector components of the tangent and the normal. In addition to curvilinear kinetics in polar coordinates. It can be used in different engineers, especially mechanical, civil and more.
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In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154269&ref=FeedTue, 14 Nov 2017 05:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloPlot of equation impulse-momentum
https://www.maplesoft.com/applications/view.aspx?SID=154347&ref=Feed
In this application you can visualize the impulse generated by a constant and variable force for the interaction of a particle with an object in a state of rest or movement. It is also the calculation of the momentum-momentum equation by entering the mass of the particle to solve initial and final velocities respectively according to the case study. Engineering students can quickly display the calculations and then their interpretation.<img src="https://www.maplesoft.com/view.aspx?si=154347/mivis.png" alt="Plot of equation impulse-momentum" style="max-width: 25%;" align="left"/>In this application you can visualize the impulse generated by a constant and variable force for the interaction of a particle with an object in a state of rest or movement. It is also the calculation of the momentum-momentum equation by entering the mass of the particle to solve initial and final velocities respectively according to the case study. Engineering students can quickly display the calculations and then their interpretation.https://www.maplesoft.com/applications/view.aspx?SID=154347&ref=FeedTue, 17 Oct 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloMoment of a force using vectors
https://www.maplesoft.com/applications/view.aspx?SID=154345&ref=Feed
The development of the calculation of moments using force vectors is clearly observed by taking a point and also a line. Different exercises are solved with the help of Maple syntax. We can also visualize the vector behavior in the different configurations of the position vector. Applications designed exclusively for engineering students. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154345/moment of force.PNG" alt="Moment of a force using vectors" style="max-width: 25%;" align="left"/>The development of the calculation of moments using force vectors is clearly observed by taking a point and also a line. Different exercises are solved with the help of Maple syntax. We can also visualize the vector behavior in the different configurations of the position vector. Applications designed exclusively for engineering students. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154345&ref=FeedTue, 26 Sep 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloVector space with projections and forces
https://www.maplesoft.com/applications/view.aspx?SID=154294&ref=Feed
With this application you will learn the beginning of the study of the vectors. Graphing it in a vector space from the plane to the space. You can calculate its fundamental characteristics as triangle laws, projections and strength. App made entirely in Maple for engineering students so they can develop their exercises and save time. It is recommended to first use the native syntax then the embedded components. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154294/vectors.PNG" alt="Vector space with projections and forces" style="max-width: 25%;" align="left"/>With this application you will learn the beginning of the study of the vectors. Graphing it in a vector space from the plane to the space. You can calculate its fundamental characteristics as triangle laws, projections and strength. App made entirely in Maple for engineering students so they can develop their exercises and save time. It is recommended to first use the native syntax then the embedded components. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154294&ref=FeedMon, 11 Sep 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloDisplacement and distance traveled with vectors
https://www.maplesoft.com/applications/view.aspx?SID=154293&ref=Feed
In this app you can use from the creation of curve, birth of the position vector and finally applied to the displacement and the distance traveled. All this application revolves around the creation of a path and the path of a particle over this generated by vectors. You will only have to insert the vector components and the times to evaluate. Designed for engineering students guided through Maple. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154293/desplvp.png" alt="Displacement and distance traveled with vectors" style="max-width: 25%;" align="left"/>In this app you can use from the creation of curve, birth of the position vector and finally applied to the displacement and the distance traveled. All this application revolves around the creation of a path and the path of a particle over this generated by vectors. You will only have to insert the vector components and the times to evaluate. Designed for engineering students guided through Maple. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154293&ref=FeedMon, 28 Aug 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloPlot of Position Vector
https://www.maplesoft.com/applications/view.aspx?SID=154290&ref=Feed
This app performs the trace of a given path r(t), then locates the position vector in a specific time. It also graphs the velocity vector, acceleration, tangential and normal unit vectors, along with the binormal. The numerical value of velocity, acceleration and curvature are also observed for a better analysis of the movement of particles in a curvilinear trajectory. Developed for our engineering students. In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154290/bnrvp.png" alt="Plot of Position Vector" style="max-width: 25%;" align="left"/>This app performs the trace of a given path r(t), then locates the position vector in a specific time. It also graphs the velocity vector, acceleration, tangential and normal unit vectors, along with the binormal. The numerical value of velocity, acceleration and curvature are also observed for a better analysis of the movement of particles in a curvilinear trajectory. Developed for our engineering students. In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154290&ref=FeedThu, 10 Aug 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo Castillo