Relevant bibliographies by topics / Deflection of the beam

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
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Academic literature on the topic 'Deflection of the beam'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Deflection of the beam"

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Ahmed, Ehsan, and Habibur Rahman Sobuz. "Immediate and Long-Term Deflection of Carbon Fiber Reinforced Polymer (CFRP) Concrete Beams." Key Engineering Materials 471-472 (February 2011): 73–78. http://dx.doi.org/10.4028/www.scientific.net/kem.471-472.73.

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This study presents the results of immediate and long-term deflections of reinforced concrete beams strengthened with carbon fiber reinforced polymer (CFRP) laminates under sustained loading The test parameters were sustained load and different degrees of strengthening scheme for both cracked and un-cracked sections of beams. The applied sustained load was 56% and 38% of the ultimate static capacities of the un-strengthened beams for cracked and un-cracked section respectively. The long term deflections of CFRP strengthened beams at six month were on average 1.42 times the immediate deflections for un-cracked beams and 1.45 times the immediate deflections for cracked beams. The experimental results indicate that the long-term deflection of cracked beam shows significantly higher value compared to that of un-cracked beams. A comparison of time dependent deformation between analytical and experimental results shows closer agreement for the un-cracked beam sections. More conservative theoretical estimation is observed in the case of cracked beam section in spite the inclusion of tension stiffening effect. Finally, factors affecting the long-term deflection of strengthened beams are discussed to get better understanding on the long term behaviour of strengthened beams.
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Vales, Jan, Zdenek Kala, and Jindrich Melcher. "Application of Fuzzy Set Theory to the Serviceability Limit State of a Steel Beam under Bending." Applied Mechanics and Materials 769 (June 2015): 91–96. http://dx.doi.org/10.4028/www.scientific.net/amm.769.91.

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Deformations of an I-section steel beam under equal end moments are studied in this article. Initial geometric imperfection of the beam axis was introduced according to the Eurocode standard. Numerical studies have shown that the lateral deflection of slender beams under major axis bending can be relatively high. The acceptability of high values of lateral deflections within the framework of the serviceability limit state is discussed. In the next part of the paper, the limit value of maximum deflection was introduced as a fuzzy number. Fuzzy analysis of the maximum moment, which causes maximum deflection, was performed. The slenderness values of beams for which the serviceability limit state is the limiting condition for design were identified.
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Liu, Shun Feng, Mu Yi Hou, Xiao Liu, and Ru Heng Wang. "Analysis of Cracking Moment and Immediate Deflection in FRP Rebars Reinforced Concrete Beams." Advanced Materials Research 671-674 (March 2013): 618–21. http://dx.doi.org/10.4028/www.scientific.net/amr.671-674.618.

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Fiber reinforced polymer rebars have advantages of light weight, high tensile strength and excellent corrosion resistance. However, researches showed that [1-2], the low elastic modulus of FRP rebar resulting in a larger deflection than steel reinforced concrete beam in equivalent condition. Therefore, it is crucial to control the deflections in serviceability limit states. Three GFRP reinforced concrete beams were tested with four-point bending, deducing the cracking moment formula of the FRP reinforced beam. Then, Bischoff model is adopted to calculate the deflection, and reaching a good agreement with the experimental results. We recommend Bischoff model to evaluate the immediate deflections.
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Chen, Li Wen, Chia Yen Lee, Chien Hsiung Tsai, and Yung Chuan Chen. "Thermal Contact Residual Stress Analysis of Elastic-Plastic Bilayer Micro-Cantilevers with Platinum Electrodes." Materials Science Forum 505-507 (January 2006): 559–64. http://dx.doi.org/10.4028/www.scientific.net/msf.505-507.559.

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This paper studies the residual stress distributions and tip deflections of microfabricated bilayer cantilevers of varying beam thickness and platinum electrode length. The bilayer cantilevers discussed here are composed of low-stress silicon nitride films deposited on silicon beams. Platinum electrodes are deposited and patterned on the low-stress silicon nitride layers. A thermal elastic-plastic finite element model is utilized to calculate the residual stress distribution across the cantilever cross-section and to determine the cantilever tip deflection following heat treatment. A contact model is introduced to simulate the influence of contact on the residual stress distribution. The influences of the beam thickness and the platinum electrode length on the residual stress distribution and tip deflections are thoroughly investigated. The numerical results indicate that a smaller beam thickness leads to a larger compressive residual stress within the platinum electrode and delivers a larger tip deflection. The results also indicate that a larger platinum electrode length delivers a smaller tip deflection.
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Thumrongvut, Jaksada, and Sittichai Seangatith. "An Experimental Study on the Performance of Fixed-End Supported PFRP Channel Beams under Flexure." Advanced Materials Research 702 (May 2013): 31–36. http://dx.doi.org/10.4028/www.scientific.net/amr.702.31.

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The experimental investigation on the fixed-end supported PFRP channel beams subjected to three-point loading is presented. The objectives of this study are to evaluate the effects of the span on the structural behaviors, the critical buckling loads and the modes of failure of the PFRP beams, and to compare the obtained deflections with those obtained from the Timoshenko’s shear deformation beam theory equation in order to check the adequacy of the equation. The beam specimens have the cross-sectional dimensions of 152 43 10 mm with span-to-depth ratio ranging from 16 to 33. A total of twenty-two specimens were performed. Based on the experimental results, it was found that the loads versus mid-span vertical deflection relationships of the beam specimens are linear up to the failure, but the load versus mid-span lateral deflection relationships are geometrically nonlinear. The general modes of failure are the flexural-torsional buckling. Finally, the Timoshenko’s shear deformation beam equation can satisfactorily predict the vertical deflection of the beams within acceptable engineering error.
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Pokhrel, Puskar Raj, and Bhabani Lamsal. "Modeling and parameter analysis of deflection of a beam." BIBECHANA 18, no. 1 (January 1, 2021): 75–82. http://dx.doi.org/10.3126/bibechana.v18i1.29359.

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In this paper, we present the model equation of a beam when it applies compression forces on ends of the beam and carries a load. For the structural point of view, there should be a suitable model to understand the behavior under different conditions of loading of a beam. Mathematical modeling is the simulation of a physical structure or physical phenomenon by constructing suitable analytic and numerical solution. We analyze the deflections of the beam by taking different structures of beam. The structures of beam depend on the compression forces on beams with different beams with different weights. We observe the deflection by applying various compression forces at the ends of the beam. The influence of the effect of some parameters appeared in mathematical formulations such as area moment of inertia (I), Young’s modulus (E), load (W) and compressive force (P) on deflection variation are investigated in this paper. We analyze the results that how compression forces affect the system. We use finite difference method to solve the model equation numerically. We analyze and compare the numerical result with analytic solution. BIBECHANA 18 (2021) 75-82
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He, Wen-Yu, Wei-Xin Ren, Lei Cao, and Quan Wang. "FEM Free Damage Detection of Beam Structures Using the Deflections Estimated by Modal Flexibility Matrix." International Journal of Structural Stability and Dynamics 21, no. 09 (May 19, 2021): 2150128. http://dx.doi.org/10.1142/s0219455421501285.

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The deflection of the beam estimated from modal flexibility matrix (MFM) indirectly is used in structural damage detection due to the fact that deflection is less sensitive to experimental noise than the element in MFM. However, the requirement for mass-normalized mode shapes (MMSs) with a high spatial resolution and the difficulty in damage quantification restricts the practicability of MFM-based deflection damage detection. A damage detection method using the deflections estimated from MFM is proposed for beam structures. The MMSs of beams are identified by using a parked vehicle. The MFM is then formulated to estimate the positive-bending-inspection-load (PBIL) caused deflection. The change of deflection curvature (CDC) is defined as a damage index to localize damage. The relationship between the damage severity and the deflection curvatures is further investigated and a damage quantification approach is proposed accordingly. Numerical and experimental examples indicated that the presented approach can detect damages with adequate accuracy at the cost of limited number of sensors. No finite element model (FEM) is required during the whole detection process.
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Wei, Juan, and Wen Pu Shi. "Deflection Computations of the Double Composite Cantilever Beam." Applied Mechanics and Materials 401-403 (September 2013): 97–101. http://dx.doi.org/10.4028/www.scientific.net/amm.401-403.97.

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Considering of the hypothesis of small deformation, the deflection approximate differential equation of beam and integration equation theory and numerical methods are used to the deflection problems of the double composite cantilever beam. The deflection problem of the double composite beam with smooth interface under a point vertical force acting on the beam end are analyzed concretely, the analytical solutions of the touching distributing force and the cross section rotation angle function are given, and the concrete method of computing the beam deflection is put forward based on the Gauss-Legendre integration formula, the results of the given example show the validity. The methods and the conclusions here can be extended to study the deflection problems of composite cantilever beam with arbitrary layers and the deflection problems of composite beams with other supporting condition, they are important to the designs of the engineering beams.
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Tan, Hui Feng, and Zhen Yong Du. "Research on Equivalent Bending Stiffness of Conical Inflated Beam." Applied Mechanics and Materials 229-231 (November 2012): 444–48. http://dx.doi.org/10.4028/www.scientific.net/amm.229-231.444.

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The conical inflated beams have steady bending stiffness before wrinkles appear according to experimental load-deflection curve, then the deflection distribute function is derived based on the differential function of deflection with variable bending stiffness. The equivalent bending stiffness is presented while the conical inflated beam equates to cylindrical inflated beam, according to the deflection formula of beam, the model of equivalent bending stiffness of conical inflated beams is obtained. Comparing the equivalent bending stiffness of conical inflated beams between theoretical model and Experiment results, it is found that they agree with each other well.
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Umasankar, G., and C. R. Mischke. "A Simple Numerical Method for Determining the Sensitivity of Bending Deflections of Stepped Shafts to Dimensional Changes." Journal of Vibration and Acoustics 107, no. 1 (January 1, 1985): 141–46. http://dx.doi.org/10.1115/1.3274706.

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A simple method of computing the effect of a dimensional change at a particular element of a stepped shaft on two bearings, on bending deflections, and on slopes of the neutral axis at any of the nodes of interest is presented. The changes in deflection and slope of the neutral axis are derived as incremental quantities and as functions of the dimension change and the prior deflections and slopes of the neutral axis of the shaft. For shaft synthesis, the implications are that one can begin with a uniform diameter bar subjected to the loading and make a complete deflection analysis with superposed closed-form relations. Then the geometry can be modified element by element and the deflectional changes easily updated. This is computationally efficient. Further, deflections and deflection changes computed using the proposed method are identical to those obtained using a finite beam element model of the shaft.
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Dissertations / Theses on the topic "Deflection of the beam"

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Münnich, Matthias. "Beam Deflection." Master's thesis, University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5823.

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In order to fully understand the third order nonlinear optical response of materials under high irradiance excitation it is necessary to study the temporal and polarization dependence of nonlinear refraction and absorption. There are several existing approaches such as Z-scan and pump-probe techniques to determine those responses. As part of this work, these approaches will be briefly outlined before presenting beam deflection, applied from photothermal beam deflection, as an alternative experimental technique to determine the nonlinear refraction with its temporal and polarization dynamics. This technique measures the angle of the probe beam deflected via the index gradient of the material induced by strong excitation beam, to determine both the sign and magnitude of the nonlinear refraction. The temporal and tensor properties of the nonlinear refractive index can be determined by introducing a delay line, and by varying the polarization of the excitation and probe beam, respectively. To demonstrate the practicality of the beam deflection technique, we performed measurements on Fused Silica, Carbon Disulfide and Zinc Oxide. Each of these samples shows quite different nonlinear responses. Amorphous fused silica exhibits nonlinear refraction purely from instantaneous electronic contribution; while Carbon Disulfide shows a much slower response, originating not only from the electronic contribution but also from non-instantaneous nuclear movements (e.g. molecular orientation). These two contributions can be separated by varying the polarization direction of the excitation and probe beam. By introducing lock-in detection technique, a sensitivity of /5500 can be achieved. In Zinc Oxide, a wide-bandgap semiconductor, we measure both nonlinear refraction and two-photon absorption simultaneously. Therefore the beam deflection is a sensitive technique, which can be used to measure the time and polarization dynamics of the nonlinear response of the material.
M.S.
Masters
Optics and Photonics
Optics and Photonics
Optics; International
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Ahmed, Kawa Taha Abualwafa. "Long term deflection of high-performance reinforced concrete beam." Thesis, University of Leeds, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.713470.

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In the design of reinforced concrete structures, a designer must satisfy not only the strength requirements but also the serviceability requirements, and therefore the control of the deformation becomes more significant. To ensure serviceability criterion, it is necessary to accurately predict the cracking and deflection of reinforced concrete structures under load. For accurate determination of the member deflections, cracked members in the reinforced concrete structures need to be identified and their effective flexural rigidities determined. The effect of concrete cracking on the stiffness of a flexural member is largely dependent on both the magnitude and shape of the moment diagram, which is related to the type of applied loading. The aim of the present investigation is to study the cracking behaviour (crack spacing and crack width) of reinforced concrete beam elements constructed from high performance concrete and subjected to bending. An initial optimization was performed to identify a suitable mix design, which has the different required performance attributes of high performance concrete, such as strength, workability, dimensional stability and durability. It is likely that this stage will confirm two mixes, which can be used to compare and contrast the cracking behaviour and to isolate the effect of creep on the long-term performance of such elements constructed from high-strength concrete. Typically, a concrete compressive strength of approximately 100MPa will be sought. High performance concrete is made by partially replacement of cement by silica fume. Once the mixes identified, a series of beams (typically 4.2 m span with a constant moment zone of one and half metres) were tested under 2 point loading (also called 4-point loading including the reactions). These elements were subjected to a constantly applied load for at least three months. The intention was to isolate the effect of creep on the long-term performance of such elements constructed from high-strength concrete. This has not been achieved before. Complimentary tests were also performed on the concrete itself (strength, stiffness, shrinkage, creep (compressive and tensile) etc.). Finally, the deflection, crack width and spacing calculation procedures in several major international concrete codes, including EC2-92 and MC 90, were assessed and some deficiencies in the existing approaches exposed. A comparison between the experimental results, and international codes was presented for all beam specimens time-dependent behaviour. Overall, the programme provided much needed data, which verify the influence of creep and shrinkage on the long-term performance (deflection) of high strength reinforced concrete beam elements.
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Liang, Anthony. "Electric deflection measurements of sodium clusters in a molecular beam." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31750.

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Thesis (Ph.D)--Physics, Georgia Institute of Technology, 2010.
Committee Chair: de Heer, Walter; Committee Member: Chou, Mei-Yin; Committee Member: First, Phillip; Committee Member: Whetten, Robert; Committee Member: Zangwill, Andrew. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Thomas, James A. "Optical phased array beam deflection using lead lanthanum zirconate titanate /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1998. http://wwwlib.umi.com/cr/ucsd/fullcit?p9907669.

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Bernshteyn, Aleksandr 1975. "High speed electron-beam dose modulation by electrostatic quadra-deflection." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/80053.

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Thesis (S.B. and M.Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1999.
Includes bibliographical references (p. 47-49).
by Aleksandr Bernshteyn.
S.B.and M.Eng.
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Lai, Jackie, and Johnny Huynh. "Box Beam." Thesis, Tekniska Högskolan, Högskolan i Jönköping, JTH, Maskinteknik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-31572.

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This report covers the product development process of a C-profile forming a box beam for use in storage systems. The company Brännehylte Lagersystem AB is in need of a new box beam that in pair can handle a maximum load of 4000 kg (four pallets x 1000 kg). At present the company has only one beam capable of a maximum load of 4x800 kg and wants to expand its product range and develop as a company and compete with others in the storage systems market. The first step began with acquiring information on the different beams and how they behave under stress. Then began a combination of brainstorming and brainwriting to generate a number of concepts of how a C-profile could possibly look like. After screening of the different concepts using Gut-feeling method three most appropriate concepts were left and were pitted against each other in a Pugh Matrix to get the best possible C-profile for further development. Calculations and tests were done on the selected concept with a combination of elementary cases and SolidWorks. For the beam to be approved it must meet the EU standard for storage racks. The calculated beam resulted in a working beam in theory, which in turn must be produced to confirm that the theory is true. Because a prototype must be produced in order to confirm the results, then the work cannot be proven in practical example and only be proven in theory.
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Cornil, Marie-Blanche. "Free vibration of a beam subjected to a large static deflection." Thesis, Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/17364.

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Meunier, Arthur. "Asteroids deflection using state of the art European technologies." Thesis, KTH, Rymd- och plasmafysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-160713.

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In public opinion, protection against asteroids impact has always been on the agenda of space engineering. Actually it started from 1994 when Shoemaker Levy stroke Jupiter. This protection works in two steps: detection of threat and deflection. Some space agencies and foundations monitor the sky and set up scenario. Although the sky is nowadays well monitored and mapped, there is no global plan nowadays against this threat. This paper focuses on the deflection step, and aims at forecasting which variables are involved and their consequences on the deflection mission. In fact the result depends on several factors, like the time before hazardous moment, the accuracy of detection tools, the choice of deflection method, but the most unpredictable are human factors. This study shows a strategy and so tries to give some new response parts to the global deflection problem.
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Jacobucci, Cody. "Automating structural stress analysis : beam deflection, shear, and moment diagram generator for single and multi-span beams." Thesis, Massachusetts Institute of Technology, 2017. http://hdl.handle.net/1721.1/112575.

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Thesis: S.B., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2017.
Cataloged from PDF version of thesis.
Includes bibliographical references (page 87).
A new tool has been developed with Aurora Flight Sciences to automate stress analysis of beams under loading. It is a Microsoft Excel based tool to be consistent with Aurora's other analysis tools and analyst preference, and is coded in Visual Basic. The tool can generate the shear, moment, and deflection diagram of a single span or multi-span beam in less than 10 seconds for any combination of edge constraints and applied loads, as well as output the reaction force at each support. The tool can also analyze beams that change material or shape after reaching a support to account for changes in longer beams across the airframe.
by Cody Jacobucci.
S.B.
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Said, Eman. "On the deflection of s32003 stainless steel beams." Thesis, Georgia Institute of Technology, 2016. http://hdl.handle.net/1853/54918.

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Presented in this work are the results of twelve flexural tests conducted on small-scale coupons to establish the load-deflection behavior of UNS S32003 (ATI 2003®) hot-rolled duplex stainless steel flat plates. All specimens were tested as simply supported beams loaded at the midspan. Test specimens had nominal width and thickness of 1 in. and 0.25 in., respectively. Four different span lengths of 4 in., 6 in., 9 in., and 12 in. were investigated. Analysis of the results showed that the non-linear deflection behavior can be estimated reasonably well by adopting the conventional deflection equation pertaining to an assumed linear elastic material, but after replacing the modulus of elasticity with a secant modulus corresponding to the maximum tension strain resulting from the applied load.
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Books on the topic "Deflection of the beam"

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Williams, B. A. Optical beam deflection techniques for material characterisation. Manchester: UMIST, 1995.

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Deflection of beams for all spans and cross sections. New York: McGraw-Hill, 1985.

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Sensmeier, Mark D. Static and dynamic large deflection flexural response of graphite-epoxy beams. Washington, D.C: National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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Craig, L. D. A case study of analysis methods for large deflections of a cantilever beam. [Marshall Space Flight Center, Ala.]: National Aeronautics and Space Administration, George C. Marshall Space Flight Center, 1994.

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Sharma, Akanshu. Experimental investigations and evaluation of strength and deflections of reinforced concrete beam-column joints using nonlinear static analysis. Mumbai: Bhabha Atomic Research Centre, 2009.

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Anderson, James E. Political pressure deflection. Cambridge, MA: National Bureau of Economic Research, 2004.

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E, Anderson James. Political pressure deflection. Cambridge, Mass: National Bureau of Economic Research, 2004.

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Reimer, B. L. OTV bearing deflection investigation. [Washington, DC: National Aeronautics and Space Administration, 1993.

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Ji, Tianjian. Structural Design Against Deflection. Boca Raton, FL : CRC Press/Taylor & Francis Group, [2020]: CRC Press, 2020. http://dx.doi.org/10.1201/9780429465314.

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Crovetti, James A. Comprehensive subgrade deflection acceptance criteria. Madison, WI: Wisconsin Dept. of Transportation, Division of Transportation Infrastructure Development, Bureau of Highway Construction, Technology Advancement Unit, 2001.

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Book chapters on the topic "Deflection of the beam"

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Szilagyi, Miklos. "Beam Deflection." In Electron and Ion Optics, 481–95. Boston, MA: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0923-9_11.

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Barbero, Cesar Alfredo. "Probe Beam Deflection Method." In Encyclopedia of Applied Electrochemistry, 1739–44. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4419-6996-5_233.

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Biryukov, Valery M., Yuri A. Chesnokov, and Vladilen I. Kotov. "Beam Deflection by Bent Crystals." In Crystal Channeling and Its Application at High-Energy Accelerators, 31–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-03407-1_2.

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Láng, Gyözö G., and Cesar A. Barbero. "Introduction to Probe Beam Deflection Techniques." In Monographs in Electrochemistry, 159–65. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27651-4_9.

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Murphy, J. C., J. W. Maclachlan Spicer, R. B. Givens, L. C. Aamodt, and G. Chang. "Optical Beam Deflection in Semiconductors with Electron Beam Excitation." In Photoacoustic and Photothermal Phenomena II, 249–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-540-46972-8_62.

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Herakovich, Carl T. "Beam Deflections." In A Concise Introduction to Elastic Solids, 61–66. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45602-7_10.

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Aamodt, L. C., J. C. Murphy, and J. W. Maclachlan. "Image Distortion in Optical-Beam-Deflection Imaging." In Photoacoustic and Photothermal Phenomena, 385–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-540-48181-2_101.

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Heiles, Sven, and Rolf Schäfer. "Molecular Beam Electric Field Deflection: Experimental Considerations." In SpringerBriefs in Molecular Science, 7–16. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-7866-5_2.

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Heiles, Sven, and Rolf Schäfer. "Molecular Beam Electric Field Deflection: Theoretical Description." In SpringerBriefs in Molecular Science, 17–59. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-7866-5_3.

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Láng, Gyözö G., and Cesar A. Barbero. "Basic Principles of Probe Beam Deflection Techniques." In Monographs in Electrochemistry, 167–98. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27651-4_10.

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Conference papers on the topic "Deflection of the beam"

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Faris, G. W., and Robert L. Byer. "Optical beam deflection tomography." In Conference on Lasers and Electro-Optics. Washington, D.C.: OSA, 1986. http://dx.doi.org/10.1364/cleo.1986.fj4.

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Chen, Guimin, and Ruiyu Bai. "Modeling Large Spatial Deflections of Slender Bisymmetric Beams in Compliant Mechanisms Using Chained Spatial-Beam-Constraint-Model (CSBCM)." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46387.

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Modeling large spatial deflections of flexible beams has been one of the most challenging problems in the research community of compliant mechanisms. This work presents a method called chained spatial-beam-constraint-model (CSBCM) for modeling large spatial deflections of flexible bisymmetric beams in compliant mechanisms. CSBCM is based on the spatial beam constraint model (SBCM), which was developed for the purpose of accurately predicting the nonlinear constraint characteristics of bisymmetric spatial beams in their intermediate deflection range. CSBCM deals with large spatial deflections by dividing a spatial beam into several elements, modeling each element with SBCM, and then assembling the deflected elements using the transformation defined by Tait-Bryan angles to form the whole deflection. It is demonstrated that CSBCM is capable of solving various large spatial deflection problems whether the tip loads are known or the tip deflections are known. The examples show that CSBCM can accurately predict the large spatial deflections of flexible beams, as compared to the available nonlinear FEA results obtained by ANSYS. The results also demonstrated the unique capabilities of CSBCM to solve large spatial deflection problems that are outside the range of ANSYS.
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Holst, Gregory L., Gregory H. Teichert, and Brian D. Jensen. "An Exploration of Buckling Modes and Deflection of a Fixed-Guided Beam." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29076.

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This paper explored the deflection and buckling of fixed-guided beams. It uses an analytical model for predicting the reaction forces, moments, and buckling modes of a fixed-guided beam undergoing large deflections. One of the strengths of the model is its ability to accurately predict buckling behavior and the buckled beam shape. The model for the bending behavior of the beam is found using elliptic integrals. A model for the axial deflection of the buckling beam is also developed based on the equations for stress and strain and the buckling profile of the beam calculated with the elliptic integral solution. These two models are combined to predict the performance of a beam undergoing large deflections including higher order buckling modes. The force vs. displacement predictions of the model are compared to the experimental force vs. deflection data of a bistable mechanism and a thermomechanical in-plane microactuator (TIM). The combined models show good agreement with the force vs. deflection data for each device. The paper’s main contributions include the addition of the axial buckling model to existing beam bending models, the exploration of the deflection domain of a fixed-guided beam, and the demonstration that nonlinear finite element models may incorrectly predict a beam’s buckling mode unless unrealistic constraints are placed on the beam.
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Smith, Natasha, and John Mutungi Mativo. "Statistically Designed Beam Deflection Lab." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-62317.

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Two vital skills for an engineering graduate are the abilities to reason and communicate effectively. Laboratory work is one of the principle ways in which students exercise these competencies. In a typical undergraduate engineering course (particularly those at the freshman or sophomore level), laboratory exercises are often designed for students (rather than by them). They must simply follow procedures to find pre-determined results in order to “drive home” theoretical concepts. As a result, students are left with a poor concept of the purpose and power of experimentation, and consequently the laboratory experience detracts from rather than bolstering their critical thinking skills. A one factor at a time approach is often the default method for undergraduate engineering experiments, and while it is relevant for acquiring initial skills at the freshmen and sophomore levels, the approach may only promote lower level thinking skills. Even so, these experiences are pivoting in establishing sound engineering practices among students. In addition, statistical design of experiments could be explored for implementation for junior and senior level design courses. This project sought to provide an example of higher order thinking by performing a statistically-designed beam deflection experiment. The experimental objectives were to determine if load, span, geometry, and material affected the deflection of simply supported beams and to identify significant nuisance factors. Key nuisance effects included support stiffness, the reaction measurement procedure, and the effect of built-up members. In conclusion, the paper points out how undergraduate students could benefit from exposure and participation in such a design of experiments process even though students were not involved in this study originally.
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Farhang, K. "Approximate Closed-Form Equations for Elastic Beam Experiencing Large Deflection." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-69018.

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The problem associated with beams subject to large elastic deflection finds application in micro switches and other MEMS. Perhaps the most challenging task in finding approximate closed form equations is the choice of the function form. While systematic least squares fit of polynomial or power functions are means of finding such approximations, usually the error in the approximations rises with increase in the range of deflection. An interactive/optimization based scheme is employed in this paper to derive the closed form approximate equations for elastic beams experiencing large angular and transverse deflections as a result of application of relatively large loads. It is shown that the approximate equations provide prediction of beam tip angular deflection in the range 0–82 degrees, with error less than 0.2 degrees. The approximate equations are employed to define a pseudo-rigid body link of a compliant MEMS.
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Howell, Larry L., and Ashok Midha. "Parametric Deflection Approximations for Initially Curved, Large-Deflection Beams in Compliant Mechanisms." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/mech-1215.

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Abstract The analysis of systems containing highly flexible members is made difficult by the nonlineararities caused by large deflections of the flexible members. The analysis and design of many such systems may be simplified by using pseudo-rigid-body approximations in modeling the flexible members. The pseudo-rigid-body model represents flexible members as rigid links, joined at pin joints with torsional springs. Appropriate values for link lengths and torsional spring stiffnesses are determined such that the deflection path and force-deflection relationships are modeled accurately. Pseudo-rigid-body approximations have been developed for initially straight beams with externally applied forces at the beam end. This work develops approximations for another fundamental type of flexible member, the initially curved beam with applied force at the beam end. This type of flexible member is commonly used in compliant mechanisms. An example of the use of the resulting pseudo-rigid-body approximations in compliant mechanisms is included.
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Martinez, Pablo G., J. Bante, and Juan J. Alvarado-Gil. "Temperature measurements by laser beam deflection." In Merida - DL Tentative, edited by R. Rodriguez-Vera and F. Mendoza-Santoyo. SPIE, 2005. http://dx.doi.org/10.1117/12.611902.

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Retsky, Michael W. "Testing an electron beam deflection innovation." In International Symposium on Optical Science and Technology, edited by Olivier Delage, Eric Munro, and John A. Rouse. SPIE, 2001. http://dx.doi.org/10.1117/12.451282.

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Alsarraf, Mohammad A. A., and Hamdi Shehabeldin. "Minimum Beam Depth For Deflection Control Of Reinforced Concrete Beams." In The Seventh International Structural Engineering and Construction Conference. Singapore: Research Publishing Services, 2013. http://dx.doi.org/10.3850/978-981-07-5354-2_st-159-482.

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Maleshkov, Georgi, Dragomir N. Neshev, and Alexander Dreischuh. "Bright beam deflection by steering beams with mixed phase dislocations." In 15th International School on Quantum Electronics: Laser Physics and Applications, edited by Tanja Dreischuh, Elena Taskova, Ekaterina Borisova, and Alexander Serafetinides. SPIE, 2008. http://dx.doi.org/10.1117/12.822541.

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Reports on the topic "Deflection of the beam"

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Ziemann, V. Beam-beam deflection and signature curves for elliptic beams. Office of Scientific and Technical Information (OSTI), October 1990. http://dx.doi.org/10.2172/6431631.

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Avitzur, Boaz. Shear Deflection in a Three-Point Bend Beam of a Solid Circular Cross-Section. Fort Belvoir, VA: Defense Technical Information Center, March 1985. http://dx.doi.org/10.21236/ada154458.

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Bambade, P. Beam-beam deflections to measure size spot and offset at SLC IP. Office of Scientific and Technical Information (OSTI), June 1985. http://dx.doi.org/10.2172/5686676.

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Anderson, James, and Maurizio Zanardi. Political Pressure Deflection. Cambridge, MA: National Bureau of Economic Research, April 2004. http://dx.doi.org/10.3386/w10439.

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Bowden, G. Undulator Gravitational Deflection. Office of Scientific and Technical Information (OSTI), January 2005. http://dx.doi.org/10.2172/839688.

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Steckbeck, Mackenzie K., and Barney Lee Doyle. Theory of using magnetic deflections to combine charged particle beams. Office of Scientific and Technical Information (OSTI), September 2014. http://dx.doi.org/10.2172/1322265.

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Gupta, Rajendra. Combustion Diagnostics by Photo-Deflection Spectroscopy. Fort Belvoir, VA: Defense Technical Information Center, March 1992. http://dx.doi.org/10.21236/ada250802.

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Spencer, Nathan. Impeller deflection and modal finite element analysis. Office of Scientific and Technical Information (OSTI), October 2013. http://dx.doi.org/10.2172/1096476.

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Zweben, S., and M. Karasik. Laboratory experiments on arc deflection and instability. Office of Scientific and Technical Information (OSTI), March 2000. http://dx.doi.org/10.2172/752819.

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Rudnicki, James D., Frank R. McLarnon, and Elton J. Cairns. Application of photothermal deflection spectroscopy to electrochemical interfaces. Office of Scientific and Technical Information (OSTI), March 1992. http://dx.doi.org/10.2172/10145628.

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