Prepared by madam rafia firdous. She is a lecturer and instructor in subject of Plain and Reinforcement concrete at University of South Asia LAHORE,PAKISTAN.
Prepared by madam rafia firdous. She is a lecturer and instructor in subject of Plain and Reinforcement concrete at University of South Asia LAHORE,PAKISTAN.
Abstract (Dutch)
Samengestelde betonnen liggers vervaardigd van prefab voorgespannen- en/of gewapende elementen zijn zeer populair in de huidige praktijk van de civiele techniek. Twee betonnen, samengestelde delen van de ligger worden gestort op verschillende tijdstippen. Verschillende elasticiteitsmoduli, opeenvolgende belastingaanbrenging, en verschillend krimp en kruip veroorzaken een herverdeling van de normaalspanning en ongelijke rekken en spanningen in twee aansluitende vezels in het aansluitvlak.
Dit seminar richt zich op de berekening volgens de EN 1992-1-1 en EN 1992-2. De aannames met betrekking tot de berekening en de controle van de gewapende en/of voorgespannen samengestelde liggers en doorsnedes zal worden toegelicht.
Ook wordt er ingegaan op:
• De spanning/rek respons van de doorsnede belast door normaalkracht en buigende momenten,
• De principes van het gebruik van de “initiële toestand” in berekeningen van de uiterste grenstoestand en de bruikbaarheidsgrenstoestand,
• De controle van dwarskracht en wringing,
• De interactie tussen alle snedekrachten,
• De principes van de controles van de spanningbeperking,
• De achtergrond van de scheurwijdtecontrole
Speciale aandacht zal er worden gegeven aan de berekening van de schuifspanning in het aansluitvlak, en de beschouwing van de invloed van de verschillende leeftijd van de betonnen delen met betrekking tot de schuifspanningen. Een alternatieve berekeningsmethode ten opzichte van de Eurocode 2 zal worden voorgesteld en worden getest.
De praktische voorbeelden volgens de Eurocode 2 zullen worden uitgevoerd met behulp van de IDEA StatiCa software.
Abstract (Dutch)
Samengestelde betonnen liggers vervaardigd van prefab voorgespannen- en/of gewapende elementen zijn zeer populair in de huidige praktijk van de civiele techniek. Twee betonnen, samengestelde delen van de ligger worden gestort op verschillende tijdstippen. Verschillende elasticiteitsmoduli, opeenvolgende belastingaanbrenging, en verschillend krimp en kruip veroorzaken een herverdeling van de normaalspanning en ongelijke rekken en spanningen in twee aansluitende vezels in het aansluitvlak.
Dit seminar richt zich op de berekening volgens de EN 1992-1-1 en EN 1992-2. De aannames met betrekking tot de berekening en de controle van de gewapende en/of voorgespannen samengestelde liggers en doorsnedes zal worden toegelicht.
Ook wordt er ingegaan op:
• De spanning/rek respons van de doorsnede belast door normaalkracht en buigende momenten,
• De principes van het gebruik van de “initiële toestand” in berekeningen van de uiterste grenstoestand en de bruikbaarheidsgrenstoestand,
• De controle van dwarskracht en wringing,
• De interactie tussen alle snedekrachten,
• De principes van de controles van de spanningbeperking,
• De achtergrond van de scheurwijdtecontrole
Speciale aandacht zal er worden gegeven aan de berekening van de schuifspanning in het aansluitvlak, en de beschouwing van de invloed van de verschillende leeftijd van de betonnen delen met betrekking tot de schuifspanningen. Een alternatieve berekeningsmethode ten opzichte van de Eurocode 2 zal worden voorgesteld en worden getest.
De praktische voorbeelden volgens de Eurocode 2 zullen worden uitgevoerd met behulp van de IDEA StatiCa software.
Bar Bending Schedule (BBS) is a chart which gives a clear picture of bar length, diameter of bar ,bar mark ,location of bar.
It allow workers to place steel properly.
This is a Power Point Presentation discussing briefly about the Slab, Beam & Column of a building construction. It was presented on 6th March, 2014 as part of the Presentations of the subject: DETAILS OF CONSTRUCTION, at Ahsanullah University of Science & Technology (AUST)
information on types of beams, different methods to calculate beam stress, design for shear, analysis for SRB flexure, design for flexure, Design procedure for doubly reinforced beam,
Analytical Study of Response of Multi-Storey Building under Biaxial Excitation IJERA Editor
Conventional practice of dynamic analysis using seismic codes recommends that the dynamic analysis is done by
considering earthquake force in one direction at a time i.e. uniaxial excitation. But the simultaneous effect of
asymmetricities in both orthogonal directions is neglected because of uniaxial excitation approach. Also the
behaviour of building during earthquake depends upon its shape size and overall geometry. The partial and
complete collapse of reinforced concrete buildings in recent earthquakes has raised the need to design the
building considering biaxial forces. Limited research has been carried out on effect of such biaxial excitation.
To get reliable results a regular and C shape model of multi-storey building is analysed using various timehistories
in SAP2000 v17. The angle of incidence of earthquake forces will be varying between 0 to 360 degrees.
The influence of the orthogonal horizontal component of input ground motion on seismic response of reinforced
concrete building is analysed by comparing the response of biaxial excitation with the response of uniaxial
excitation.
Change in maximum displacement values, considering this as the basic criteria, comparison of the responses due
biaxial excitation and uniaxial excitation is done. Time history analysis has been carried out using SAP2000
after validating the model with results available in reference literature.
It is observed and recommended that considering biaxial forces is necessary for an accurate determination of
response and also to reach an adequate design for serviceability earthquakes.
Seismic pounding of multistoreyed buildingseSAT Journals
Abstract
The investigations made by past and present earthquake seismologist have shown that during earthquake, the building structures are
vulnerable to severe damages. The adjacent buildings collide and collapse during moderate to strong ground vibrations caused by
earthquakes. Actually, the separation distance of many buildings is n adequate to accommodate their relative motions, so building
vibrate out of phase and collapse. Among the possible structural damages the seismic induced pounding has been commonly observed
phenomenon. In this paper, a systematic study regarding pounding of building response as well as seismic hazard mitigation practices
like effect of different separation distances and effect of addition of shear walls are investigated in ETABS nonlinear software. The
results were obtained in the form of pounding force and point displacements. As the pounding effect varies inversely with separation
distance so by increasing separation distance pounding effect is reduced greatly and hence damage to neighboring buildings is
minimized. Also, the provision of shear wall reduces effect of pounding.
Key words: Seismic Pounding, Separation Distance, Mitigation of Seismic Pounding, Adjacent Buildings, Gap Element,
Impact, Shear wall.
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology
Effect of soft storeys in earthquake resistant analysis of rc framed structureseSAT Journals
storey in which the stiffness is less than 70% of the storey above or less
than 80% of the combined stiffnesses of the three storeys above. It is the general practice in the multistoreyed buildings to
accommodate parking facilities for the vehicles of the occupants of the building. As we know that the soft storey in a building
structure causes stiffness irregularity in a structure, due to this the structure undergoes unequal storey drifts, formation of the
plastic hinges and then finally resulting into the collapse of the structure.This research work purely interacts with the effect of the
soft storeys in the analysis of RC framed structures as entitled above, and in this work the soft storeys positions has been provided
at different levels as shown in the analytical modelling. All the models are analyzed by using the ETABS software. The seismic
analysis performed consists of the Equivalent static analysis (ESA), response spectrum analysis (RSA), and the push over analysis
(PA). The seismic base shear forces, storey drifts, and the displacements has been compared with the three analysis methods as
listed above. With the aid of the push over analysis the values of the ductility and the response reduction factor have been
obtained. Apart from these, the performance point parameters such as spectral acceleration(Sa) , spectral displacement (Sd),
Base shear(V) and the roof displacement(D) has been also illustrated in this work and a detailed information of several stages of
the hinge formation (A,B,IO,LS,CP,C,D,E) has also been illustrated.. Keywords: Soft Storey, Stiffness, Storey Drift, Storey Displacement, Earthquake, RC Frames
Comparative Study of Various Seismic Analysis Methods for Rc StructureIJERA Editor
A large number of RC frame buildings have been built in India in recent years. Huge number of similarly designed and constructed buildings exist in the various towns and cities situated in moderate to severe seismic zones of the country. Analysis and design of such buildings for static forces is a routine affair these days because of availability of affordable computers and specialized programs which can be used for the analysis. On the other hand, dynamic analysis is a time consuming process and requires additional input related to mass of the structure, and an understanding of structural dynamics for interpretation of analytical results. Reinforced Concrete (RC) frame buildings are most common type of constructions in urban India, which are subjected to several types of forces during their lifetime, such as static forces due to dead and live loads and dynamic forces due to earthquake. To ensure safety against seismic forces of multi-storied building hence, there is need to study of seismic analysis to design earthquake resistance structures. In the present study a multi-storied framed structure is selected, And Linear seismic analysis is done for the building by static method (Equivalent Static Method) and dynamic method (Response Spectrum Method & Time history Method) using ETAB2016 as per the IS-1893-2002-Part-1. As a result, the response of structure has been obtained for considered building models, based on each methods of analysis, and then the results are compared with each other.
A performance-based Analysis is aimed at controlling the structural damage based on precise estimations of proper response parameters. Performance-based seismic design explicitly evaluates how a building is likely to perform; given the potential hazard it is likely to experience, considering uncertainties inherent in the quantification of potential hazard and uncertainties in assessment of the actual building response. It is an iterative process that begins with the selection of performance objectives, followed by the development of a preliminary design, an assessment as to whether or not the design meets the performance objectives, and finally redesign and reassessment, if required, until the desired performance level is achieved. In this present study three new R.C.C buildings unsymmetrical in plan (L-shape) (designed according to IS 456:2000) is taken for analysis: 4, 8 and 20 storey to cover the broader spectrum of low rise, medium rise & high rise building construction. Different modelling issues were incorporated through six model for each building were; bare frame (without infill), having infill as membrane, replacing infill as an equivalent strut in previous model. The pushover analysis has been carried out using ETABS, a product of Computers and Structures International. Buildings located in Zone-III have been analyzed Comparative study made for bare frame (without infill), having infill as membrane, replacing infill as an equivalent strut. The results of analysis are compared in terms of Base Shear, Storey Displacement and Drift Ratio.
Effect of Seismic Joint in the Performance of Multi-Storeyed L-Shaped BuildingIOSR Journals
The choices of building shapes and structural systems have significant effect on their seismic performance. While symmetrical buildings result in a fairly uniform distribution of seismic forces throughout its components. Unsymmetrical buildings result in highly indeterminate distribution of forces making the analysis and prediction more complicated. L-shaped buildings are among those unsymmetrical structures which are most commonly found in practice in the form of school, office, commercial buildings. In this work three dimensional models of L-shaped buildings are investigated for their seismic performance, varying bay length and storey height. These models were analysed for three conditions viz with gap, with seismic joint and with neither of these. The modeling of structures analysis is carried out using STAAD Pro V8i, also the performance is analysed providing brick infill and compared with, without infill condition. Performances is measured in terms of displacements, axial forces, bending moments, shear forces and compared for those conditions mentioned in the identified column viz., corner, intermediate and interior
Seismic Evaluation of Multi-storeyed Buildings On Plain Ground And Curve Slop...IJSRD
Most of the hilly regions of India are highly seismic. Buildings on hill slopes differ in a way from other buildings. The soft storeies are typical feature in modern constructions specially in seismic areas which has been experience by the previous studies and past earthquakes. Due to verious type of structures on sloped ground structures are comes under irregularity and asymmetricity. Structures on slope leads to seismic cases.The damages to the structures are determined and acceptable safety can be provided. The linear-elastic analysis is not adequate in highly seismic areas. Thus for the design of building in seimic areas and sloped areas inelastic procedure is used. In the present dissertation work, 3D analytical model of eleven storeyed buildings on plain and curved ground have been generated. Models are analyze using ‘‘ETABSâ€Âto get the behavior of structure due to change in column height in ground story due to curved sloped ground. The analytical model of the building includes all important components that influence the mass, strength, stiffness and deformability of the structure. To study the effect of infill, concrete shear wall and concrete core wall during earthquake, seismic analysis using both elastic and inelastic method of analyses i.e., linear static (equivalent static method), linear dynamic (response spectrum method) has been performed. The deflections at each storey level has been compared by performing equivalent static method, response spectrum method. Storey drifts are within the permissible limit given for linear static and linear dynamic method. Again contrary to common practice, the presence of masonry infills, concrete shear and concrete core wall may affect the overall behavior of structure while subjected to earthquake forces.
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology
Le nuove frontiere dell'AI nell'RPA con UiPath Autopilot™UiPathCommunity
In questo evento online gratuito, organizzato dalla Community Italiana di UiPath, potrai esplorare le nuove funzionalità di Autopilot, il tool che integra l'Intelligenza Artificiale nei processi di sviluppo e utilizzo delle Automazioni.
📕 Vedremo insieme alcuni esempi dell'utilizzo di Autopilot in diversi tool della Suite UiPath:
Autopilot per Studio Web
Autopilot per Studio
Autopilot per Apps
Clipboard AI
GenAI applicata alla Document Understanding
👨🏫👨💻 Speakers:
Stefano Negro, UiPath MVPx3, RPA Tech Lead @ BSP Consultant
Flavio Martinelli, UiPath MVP 2023, Technical Account Manager @UiPath
Andrei Tasca, RPA Solutions Team Lead @NTT Data
zkStudyClub - Reef: Fast Succinct Non-Interactive Zero-Knowledge Regex ProofsAlex Pruden
This paper presents Reef, a system for generating publicly verifiable succinct non-interactive zero-knowledge proofs that a committed document matches or does not match a regular expression. We describe applications such as proving the strength of passwords, the provenance of email despite redactions, the validity of oblivious DNS queries, and the existence of mutations in DNA. Reef supports the Perl Compatible Regular Expression syntax, including wildcards, alternation, ranges, capture groups, Kleene star, negations, and lookarounds. Reef introduces a new type of automata, Skipping Alternating Finite Automata (SAFA), that skips irrelevant parts of a document when producing proofs without undermining soundness, and instantiates SAFA with a lookup argument. Our experimental evaluation confirms that Reef can generate proofs for documents with 32M characters; the proofs are small and cheap to verify (under a second).
Paper: https://eprint.iacr.org/2023/1886
Generative AI Deep Dive: Advancing from Proof of Concept to ProductionAggregage
Join Maher Hanafi, VP of Engineering at Betterworks, in this new session where he'll share a practical framework to transform Gen AI prototypes into impactful products! He'll delve into the complexities of data collection and management, model selection and optimization, and ensuring security, scalability, and responsible use.
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...DanBrown980551
Do you want to learn how to model and simulate an electrical network from scratch in under an hour?
Then welcome to this PowSyBl workshop, hosted by Rte, the French Transmission System Operator (TSO)!
During the webinar, you will discover the PowSyBl ecosystem as well as handle and study an electrical network through an interactive Python notebook.
PowSyBl is an open source project hosted by LF Energy, which offers a comprehensive set of features for electrical grid modelling and simulation. Among other advanced features, PowSyBl provides:
- A fully editable and extendable library for grid component modelling;
- Visualization tools to display your network;
- Grid simulation tools, such as power flows, security analyses (with or without remedial actions) and sensitivity analyses;
The framework is mostly written in Java, with a Python binding so that Python developers can access PowSyBl functionalities as well.
What you will learn during the webinar:
- For beginners: discover PowSyBl's functionalities through a quick general presentation and the notebook, without needing any expert coding skills;
- For advanced developers: master the skills to efficiently apply PowSyBl functionalities to your real-world scenarios.
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdfPaige Cruz
Monitoring and observability aren’t traditionally found in software curriculums and many of us cobble this knowledge together from whatever vendor or ecosystem we were first introduced to and whatever is a part of your current company’s observability stack.
While the dev and ops silo continues to crumble….many organizations still relegate monitoring & observability as the purview of ops, infra and SRE teams. This is a mistake - achieving a highly observable system requires collaboration up and down the stack.
I, a former op, would like to extend an invitation to all application developers to join the observability party will share these foundational concepts to build on:
The Metaverse and AI: how can decision-makers harness the Metaverse for their...Jen Stirrup
The Metaverse is popularized in science fiction, and now it is becoming closer to being a part of our daily lives through the use of social media and shopping companies. How can businesses survive in a world where Artificial Intelligence is becoming the present as well as the future of technology, and how does the Metaverse fit into business strategy when futurist ideas are developing into reality at accelerated rates? How do we do this when our data isn't up to scratch? How can we move towards success with our data so we are set up for the Metaverse when it arrives?
How can you help your company evolve, adapt, and succeed using Artificial Intelligence and the Metaverse to stay ahead of the competition? What are the potential issues, complications, and benefits that these technologies could bring to us and our organizations? In this session, Jen Stirrup will explain how to start thinking about these technologies as an organisation.
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf91mobiles
91mobiles recently conducted a Smart TV Buyer Insights Survey in which we asked over 3,000 respondents about the TV they own, aspects they look at on a new TV, and their TV buying preferences.
PHP Frameworks: I want to break free (IPC Berlin 2024)Ralf Eggert
In this presentation, we examine the challenges and limitations of relying too heavily on PHP frameworks in web development. We discuss the history of PHP and its frameworks to understand how this dependence has evolved. The focus will be on providing concrete tips and strategies to reduce reliance on these frameworks, based on real-world examples and practical considerations. The goal is to equip developers with the skills and knowledge to create more flexible and future-proof web applications. We'll explore the importance of maintaining autonomy in a rapidly changing tech landscape and how to make informed decisions in PHP development.
This talk is aimed at encouraging a more independent approach to using PHP frameworks, moving towards a more flexible and future-proof approach to PHP development.
The Art of the Pitch: WordPress Relationships and SalesLaura Byrne
Clients don’t know what they don’t know. What web solutions are right for them? How does WordPress come into the picture? How do you make sure you understand scope and timeline? What do you do if sometime changes?
All these questions and more will be explored as we talk about matching clients’ needs with what your agency offers without pulling teeth or pulling your hair out. Practical tips, and strategies for successful relationship building that leads to closing the deal.
Encryption in Microsoft 365 - ExpertsLive Netherlands 2024Albert Hoitingh
In this session I delve into the encryption technology used in Microsoft 365 and Microsoft Purview. Including the concepts of Customer Key and Double Key Encryption.
Climate Impact of Software Testing at Nordic Testing DaysKari Kakkonen
My slides at Nordic Testing Days 6.6.2024
Climate impact / sustainability of software testing discussed on the talk. ICT and testing must carry their part of global responsibility to help with the climat warming. We can minimize the carbon footprint but we can also have a carbon handprint, a positive impact on the climate. Quality characteristics can be added with sustainability, and then measured continuously. Test environments can be used less, and in smaller scale and on demand. Test techniques can be used in optimizing or minimizing number of tests. Test automation can be used to speed up testing.
UiPath Test Automation using UiPath Test Suite series, part 4DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 4. In this session, we will cover Test Manager overview along with SAP heatmap.
The UiPath Test Manager overview with SAP heatmap webinar offers a concise yet comprehensive exploration of the role of a Test Manager within SAP environments, coupled with the utilization of heatmaps for effective testing strategies.
Participants will gain insights into the responsibilities, challenges, and best practices associated with test management in SAP projects. Additionally, the webinar delves into the significance of heatmaps as a visual aid for identifying testing priorities, areas of risk, and resource allocation within SAP landscapes. Through this session, attendees can expect to enhance their understanding of test management principles while learning practical approaches to optimize testing processes in SAP environments using heatmap visualization techniques
What will you get from this session?
1. Insights into SAP testing best practices
2. Heatmap utilization for testing
3. Optimization of testing processes
4. Demo
Topics covered:
Execution from the test manager
Orchestrator execution result
Defect reporting
SAP heatmap example with demo
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
Welcome to the first live UiPath Community Day Dubai! Join us for this unique occasion to meet our local and global UiPath Community and leaders. You will get a full view of the MEA region's automation landscape and the AI Powered automation technology capabilities of UiPath. Also, hosted by our local partners Marc Ellis, you will enjoy a half-day packed with industry insights and automation peers networking.
📕 Curious on our agenda? Wait no more!
10:00 Welcome note - UiPath Community in Dubai
Lovely Sinha, UiPath Community Chapter Leader, UiPath MVPx3, Hyper-automation Consultant, First Abu Dhabi Bank
10:20 A UiPath cross-region MEA overview
Ashraf El Zarka, VP and Managing Director MEA, UiPath
10:35: Customer Success Journey
Deepthi Deepak, Head of Intelligent Automation CoE, First Abu Dhabi Bank
11:15 The UiPath approach to GenAI with our three principles: improve accuracy, supercharge productivity, and automate more
Boris Krumrey, Global VP, Automation Innovation, UiPath
12:15 To discover how Marc Ellis leverages tech-driven solutions in recruitment and managed services.
Brendan Lingam, Director of Sales and Business Development, Marc Ellis
Removing Uninteresting Bytes in Software FuzzingAftab Hussain
Imagine a world where software fuzzing, the process of mutating bytes in test seeds to uncover hidden and erroneous program behaviors, becomes faster and more effective. A lot depends on the initial seeds, which can significantly dictate the trajectory of a fuzzing campaign, particularly in terms of how long it takes to uncover interesting behaviour in your code. We introduce DIAR, a technique designed to speedup fuzzing campaigns by pinpointing and eliminating those uninteresting bytes in the seeds. Picture this: instead of wasting valuable resources on meaningless mutations in large, bloated seeds, DIAR removes the unnecessary bytes, streamlining the entire process.
In this work, we equipped AFL, a popular fuzzer, with DIAR and examined two critical Linux libraries -- Libxml's xmllint, a tool for parsing xml documents, and Binutil's readelf, an essential debugging and security analysis command-line tool used to display detailed information about ELF (Executable and Linkable Format). Our preliminary results show that AFL+DIAR does not only discover new paths more quickly but also achieves higher coverage overall. This work thus showcases how starting with lean and optimized seeds can lead to faster, more comprehensive fuzzing campaigns -- and DIAR helps you find such seeds.
- These are slides of the talk given at IEEE International Conference on Software Testing Verification and Validation Workshop, ICSTW 2022.
Monitoring Java Application Security with JDK Tools and JFR Events
Moment Co-efficient Method
1. Solving Statically Indeterminate
Structure: Moment Coefficient Method
1
CE-416
Pre-stressed Concrete Lab Sessional
Presented By:
Yousuf Bin Aziz
Id No:10.01.03.018
Course teachers:
Munshi Galib Muktadir
Sabreena Nasrin
Department Of Civil Engineering
Ahsanullah University of Science &
technology 12/1/2013
2. Definition Of Indeterminate
Structure
2
A structure of any type is classified as
statically indeterminate when the number of
unknown reaction or internal forces exceeds
the number of equilibrium equations available
for its analysis. Most of structures are statically
indeterminate
For example, reinforced concrete buildings
are almost always statically indeterminate.
12/1/2013
3. Moment Coefficient Method
3
The ACI Code provides tables of moment
coefficient
for a variety of conditions. These coefficients
are based on elastic analysis but also account
for inelastic redistribution.
The expressions for moment take the form of
coefficient multiplied by total factored load per
unit length on the span & the length of the
clear span.
12/1/2013
4. History Of Moment Coefficient
Method
4
The Moment Coefficient Method included for the
first time in 1963 ACI Code is applicable to twoway slabs supported on four sides of each slab
panel by walls, steel beams.
Although, not included in 1977 and later versions
of ACI code,its continued use is permissible under
the ACI 318-08 code provision (13.5.1). Visit ACI
13.5.1.relatively deep, stiff, edge beams.
12/1/2013
5. Advantage
5
The coefficients give more exact analysis.
Significant economy can be achieved by making a
more precise analysis.
There should be no reversal of moments at the
critical design sections near midspan or at the
support faces.
12/1/2013
