IlI lillill JAI II II I III
|
|
- Jeremy Peter Lawson
- 6 years ago
- Views:
Transcription
1 THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS 345 E. 471h St., New York, N.Y A-96 The Society shall not be responsible for statements or opinions advancedln papers or deicussion at meetings of the Society or of Its Divisions or Sections, or printed In its publications. Discussion is printed only if the paper is published in an ASME Journal. Authorization to photocopy material for Internal or personal use under circumstance not fairing within the fair use -provisionsof the Copyright Act b granted by ASME to libraries and other users registered with the Copyright Clearance Center (CCC) Transactional Reporting Service provided that the base fee of $0.30 per page is paid directly to the CCC, 27 Congress Street Salem MA Requests for special pernessien or bulk reproduction should be addressed to the ASMETechricel Pubishing Department Copyright by ASME All Rights Reserved Printed in U.S.A VIBRATION AND BUCKLING OF SQUARE RLATES CONTAINING CENTRAL HOLES A.B.Sabir. Division to Structural Engineering School of Engineering. University of Wales, Cardiff PO Box 917 Cardiff, UK CF2 1XH. IlI lillill JAI II II I III G.T.Davies. Division Of Structural Engineering School of Engineering, University of Wales, Cardiff PO Box 917 Cardiff, UK CF2 1XH. ABSTRACT. The finite element method is used to determine the natural frequencies of flat square plates containing centrally located circular or square holes. The plates are subjected to either inplane uniaxial, biaxial or uniformly distributed shear along the four outer edges. These edges are either simply supported or clamped. To determine the stiffness and mass matrices, non conforming rectangular and triangular displacement elements are used to model the out of plane behaviour of the plate. The inplane stress distribution within the plates, which are required in the analysis are determined by using inplane finite elements having displacement fields based on assumed strains. These satisfy the exact requirements of strain free rigid body modes of displacements. The natural frequencies of simply supported and clamped plates are initially determined when no inplane loads are applied. This showed the influence of the size of the hole on the natural circular frequency. These plates were then subjected to inplane loads and the effect of these forces on the natural frequencies are given. The results show the natural frequencies of square plates with central circular holes decrease with increasing compressive forces, and that the frequencies become zero when the compressive forces are equal to the elastic buckling loads of the plates. By repeating this process for all boundary conditions and applied loads a comprehensive set of results is obtained for the buckling and vibrational properties of square plates containing centrally located holes. INTRODUCTION. In the present paper the finite element method is used to determine the natural circular frequencies and elastic buckling loads of square plates which contain centrally located circular or square holes. Kapur and Hartz(1966) were the first authors to use the finite element method in the buckling analysis of thin plates. They used the non conforming rectangular bending element derived by Melosh(1963), which has 3 degrees of freedom at each corner node. Further studies into the buckling loads of thin plates were undertaken by Piflco and Ikakson(1969), who used the conforming rectangular element. This 16 degree of freedom bending element was developed by Bogner et at (1966) and improves the convergence properties, since this element satisfies the compatibility criteria of the normal slope across inter element boundaries. Sabir(1973) used both bending elements to determine the buckling loads, and gave both stiffness and geometric matrices explicitly. This investigation also included the buckling loads of plates on elastic foundations. In all the above work the buckling loads were determined by assuming that the enplane stress distribution within the plate was known. Therefore these results were only dependant on the performance of the rectangular bending elements. However if the plates contain openings, inplane stress concentrations will occur in the vicinity of the hole. Therefore in any buckling analysis of a thin plate containing a hole, these stress distribution have to be accurately calculated. This can by done by using inplane finite elements. The elastic buckling loads of plates containing holes has been carried. out by many authors using different numerical methods. Presented at the ASME ASIA '97 Congress & Exhibition Singapore September 30-October 2,1997 Downloaded From: on 11/21/2017 Terms of Use:
2 Ritchie and Rhodes(l 975) used the finite element method to determine the inplane stress distribution and the Rayleigh-Ritz method to determine the buckling load; while authors such as Rockcy et a/ (1967), and Shanmugam and Narayanan(1982) used the finite element method to evaluate both the inplane stresses and the buckling loads. The inplane finite elements used by these authors were based on linear displacement fields, and the convergence properties of these elements were examined by Sabir(1983). In the same paper a new class of inplane elements were developed. These elements were based on assumed strain functions rather than assumed displacements and improved the convergence properties of plane stress problems. Sabir and Chow(1983) used these elements in conjunction with the non conforming bending element to determine the buckling loads of thin plates containing central holes; and plates containing eccentric holes Sabir and Chow(1986). The finite element method has also been used to determine the natural frequencies of thin plate. Dawe(1965) used the 12 degree of freedom non conforming bending element and Mason(1968) used the 16 degree of freedom conforming bending element. The natural circular frequencies of thin plates containing holes has been investigated by various authors. Paramsaivam(1973) used the finite difference method, while Gutierrez, et al (1987) and Grossi, et a/.(1997) used the optimised Rayleigh-Ritz method. The Rayleigh- Ritz method was also used by Lee and Lim (1992) to examine the effect of inplane loads on the natural frequency. Prabhalcara and Datta(1997) used the finite element method to examine the vibration and buckling behaviour of plates with holes when subjected to axial loadings. The buckling and vibration behaviour of plates containing central square holes. Sabir, et al. (1995) and Sabir and Davies(1995); eccentric square holes. Sabir and Davies(1997a) Sabir and Davies(1997b); and reinforced square holes Sabir and Davies(1997c) has also been determined using the finite element method. In the present paper the natural circular frequencies and the buckling loads of square plates containing circular and square holes are examined. These plates will be subjected to various inplane loads and be either simply supported or clamped on all four sides. THEORETICAL CONSIDERATIONS. To determine the natural frequency of a plate which is subjected to an inplane load then the total potential energy of the structural system has to be considered. The total potential energy up, is the sum of the strain energy of the plate due to bending Up, the stretching strain energy arising from membrane stresses Upg, and the kinetic energy of the vibrating system Vpv. lip = Up + Upg + Vpv (1) For a plate with Cartesian co-ordinates x and y, the expressions for the energy equations are given in terms of the out-of-plane displacement w. These are given by Timoshenko and Goodier(1970). d w zw ow 2 Upg=-Tific4-7,7 0 ) 2 +2.rxyf i+ayity-) idx.dy (2) Vpv p tro 2liw 2eix.dy where I) is the flexural rigidity, v is Poisson's ratio, a 1 a, and Try are the inplane stresses, p is the mass density, t is the thickness and to is the natural circular frequency. In order to calculate the natural frequencies the principle of minimum potential energy is used. The first variation of the total potential energy gives the necessary equilibrium equation, and from the second variation the following transcendental equation is obtained, which described the vibration of a structure subjected to inplane loads. d 1 np to O r Eic P Kg Kulp = 0 (3) In the finite element method this equation is applied to each individual element in the structure, and then the overall stiffness, geometric stiffness and consistent mass matrices are assembled. This then yields the following transcendental equation. RN PliCgl) e 2 1 1`49} (4) where 8 is the structural nodal displacements. For any element in the plate, the stiffness matrix K, geometric stiffness matrix Kg, and consistent mass matrix Km are given by, Ke =1/1-1 I T B T Kg. =1, G T.N.G.dx.d4A -1 1 K me = p fru,.w.dx.d where A is the transformation matrix, D the rigidity matrix, B the strain matrix and N is the function of the internal inplane stresses in the element. The N and G matrices are shown below N = x Try / rny cy and 6= Ow O x Ow y (6) 2 Downloaded From: on 11/21/2017 Terms of Use:
3 where Nx, Ny, Nxy are the direct inplane and shearing stresses within an element of the plate. The degrees of freedom are w the lateral deflection, ex and ey the rotation about the x and y axis respectively. Inclane Displacement Fields. To calculate the inplane stress matrix N for each element, strain based inplane elements, based on the work by Sabir(1983) are used. Two inplane elements are used to calculate the stresses prior to buckling. The first is the strain based rectangular inplane element (SBRIE) which has two degrees of freedom at each of its four corner nodes. The displacement field for this element contains the two inplane displacements u and v in the x and y direction respectively. The element and its displacement field are shown in figure I. Z, W Figure 3 Non conforming bending element v = a2 +03x f y, v a7 y 2 agy u = al - a3y+ a4x + asxy ? oar a6y xy (7) The rectangular non conforming bending element is shown in figure 3 and the displacement field for the out-of-plane displacement w is given by the following twelve term polynomial equation, w =0 + 02x + asy + a4x2 + op)/ +a6y2 +07? + 0 l3r 2 Y + 092Y 2 + WY 3 + al Ix 3 Y ± <7 12x31 3 (9) The displacement field for the lateral deflection of the triangular element is given by Figure 1 Inplane degrees of freedom. The second inplane element is the strain based triangular inplane element (SBTIE). This element also has two degrees of freedom at each corner node and the displacement field is shown below. This element is used to model the circular edge of the hole. y, v u = a 1 a3y + + at Y 0 2 to = a2 + a3x + 05y Figure 2 Inplane triangular element SBTIE. The displacement fields for SBRIE and SBT1E satisfy the exact requirements for rigid body modes of displacement, and are based on independent linear variations of the direct strains and constant shearing strain. Out-of-plane displacement fields. To calculate the out of plane stiffness matrix, the non conforming bending element and the triangular bending elements are used. Both these elements have three degrees of freedom at each corner nodes. ( 8 ) W = a + a2x + 07y + a 4x2 + asxy cyx 3 + a,(x 2 y xy) + a9y 3 (10) PROBLEM CONSIDERED. Square plate which are either simply supported or clamped on all four sides are examined, and the elastic properties and dimensions are taken to be width of the plate d = 600 mm, thickness t = 1mm, Young's modulus E = 20x104N/nun2, Poisson's ratio v = 0.3, and Mass density p 7850Kg/m 3. The plate will contain a circular or square hole, where the dimension of the hole diameter or width is shown in figure 4 The size of the square or circular hole will be referred to in terms of the hole size ratio b/d, where this ratio will vary from an unperforated plate (b/d) to b/d=0.5. To determine the natural frequency of a plate containing a centrally located hole, equation (4) is solved. The inplane stress distribution within the plate is first determined using the strain based elements. The values of these stresses at the Gaussian point of each element is then used in the calculation of matrix N for each element. The out of plane stiffness and mass matrices are then determined using the non conforming bending element, and equation (4) is assembled for the entire plate. The eigenvalues and vectors of equation (4) are then obtained using Jacob's numerical method. The out of plane stiffness and mass matrices are then determined using the non conforming bending element, and equation (4) is 3 Downloaded From: on 11/21/2017 Terms of Use:
4 assembled for the entire plate. The eigenvalues and vectors of equation (4) are then obtained using Jacob's numerical method. a (b) Figure 5 Finite element mesh (a) square hole; (b) circular hole. Figure 4 Dimensions of the perforated plates. In the present paper the square plate will be subjected to either inplane compression or uniformly distributed shear and the natural frequency will be determined. The natural frequencies and the inplane loads will be given in terms of the following non dimensional quantities as given by Vb=wd 2 Pa d 2 = ft. 2 D Pad 2 Kb- ir 2 D K. = d2 z 2 D fa' for the natural circular frequencies, for uniaxial loads, for biaxial loads, and for shear loads, where Vb is the frequency coefficient, Ku is uniaxial load factor, Kb is the biaxial load factor and Ks is the shear load factor. Pu, Pb and Ps are the inplane uniaxial, biaxial and shear loads respectively. NUMERICAL RESULTS. Preliminary calculations were initially undertaken to determine the finite element mesh which would produce acceptable converged results. Such a study lead to the conclusion of the use of the meshes shown in figure 5, for all loading and boundary conditions considered in the present paper. Natural frequencies of unloaded plates with holes. The variation of the frequency coefficient Vb with hole size ratio b/d in the absence of inplane loads for either simply supported or clamped plates is given in figure 6. The bottom set of curves in this figure represent the case of a simply supported plate while the upper set are for the clamped plate. Figure 6 Frequency coefficient for simply supported and clamped plates. The frequency coefficient Vb, for plates containing circular holes are given by the solid lines. For the case of the simply supported plate this line shows that for small openings up to that given by b/d1.3, Vb remains almost constant. Thereafter Vb starts to increase slightly. These results compare well with the results given by Prabhakara and Datta( 1997). The frequency coefficient for a plate containing a square hole is also given for comparison, and this curve is represented by the dotted line. The same variation is also observed when the plate is clamped on all four sides. For a plate containing a circular hole, the frequency coefficient gradually rises as b/d is increased. This variation in Vb is also observed in the results given by Grossi, es al.(1997). Similarly for a plate containing a square hole, the frequency coefficient also rises with hole size, but the increase is to a larger extent. Examination of the equation defining the frequency coefficient (Eq. II) shows that Vb is proportional to the square root of the ratio of the mass density to the flexural rigidity of the plate. Hence the results shown in figure 6 indicate that this ratio remains almost constant for simply supported plates, suggesting that the presence of holes effects equally the reduction in mass and stiffness. For the case of the clamped plate the results show that the presence of holes, while decreasing the mass of the plate will increase the stiffness by a greater 4 Downloaded From: on 11/21/2017 Terms of Use:
5 extent. This may be because the hole is in a portion where the curvature is more pronounced. All the values of Vb given in figure 6 are for the lowest natural frequencies. Their modes of vibration were also determined and a typical example is given in figure 7 for a clamped plate containing a large square hole( b/d=0.4). hole sizes of b/d3.2 & b/d=0.3. Good agreement of results are indicated in this figure. The same variation of Vb with Ku is given in figure 9 for clamped plates containing different sized circular holes. All the curves show how the frequency coefficient for each plate reduces as the uniaxial load factor is increased and the results follow the same pattern as for he simply supported ce$es o- lotp11 -a-tru12 r-b trarit Figure 7 Mode of vibration for a plate with a hole - bid=0.4. Natural frequencies of plates subjected to uniaxial compression. In this section the square plates are subjected to uniform uniaxial compression, and the effect of this load on the natural frequency is examined. Figure 8 shows the variation of Vb with the inplane load factor Ku for simply supported plates containing circular holes with varying hole sizes. MAIO -o- Droll -a- brde02 a trociira(1937) fl C3 o tokl3ftrow) -4-01:034 t ID tanneryku Figure 9 Variation of Vb with Ku for a clamped plate. Buckling loads of plates subjected to uniaxial compression. In figures 8 and 9, the critical buckling load for each plate is obtained from the point where the frequency curve intercepts the horizontal axis. These points are plotted in figure 10 for both simply supported and clamped plates, and shows the variation of the buckling coefficient Ku with the hole size ratio b/d. For a simply supported plate containing a circular hole, the buckling coefficient Ku will fall from Ku=4 to Ku=2.96 as the hole size ratio is increased from b/d) to b/d3.5. Similar results are also observed when the simply supported plates contain square holes. This is also given by the dotted line on figure I Lantana Ku Figure 8 Variation of Vb with Ku for a simply supported plate. For each plate the frequency coefficient steadily decreases as the applied inplane uniaxial compression is increased. This behaviour is exhibited up to a load factor of about 2.5 in the case of the large circular holes, and a load factor of about 3.5 for the smaller holes. These load factors represent about 85% of the inplane loads which cause the plates to buckle. For larger inplane loads Vb decreases sharply becoming zero when the inplane loads equal the buckling loads. This figure also shows the results obtained by Prabhakara and Dana(1997) for simply supported plates containing circular holes with --4 or Wan D. mu Wall K nor Flie(1917) nor SttrOSSA x nor atratrall o nor Srannyilt013 o ct or Mote Figure 10 Buckling coefficients for simply supported and clamped plates. Also plotted on this figure are the finite element results of Sabir and Chow(1983) and Shanmugam and Narayanan(1982); the 5 Downloaded From: on 11/21/2017 Terms of Use:
6 Rayleigh-Ritz results of Prabhakara eta! (1997) and the experimental results of Chow(1983). All of these results are in good agreement with the present analysis; except those given by Shanmugam and Narayanan(1982) where higher values of Ku were observed. Figure 10 also gives the variation of the buckling load for clamped plates. It is seen that for the case of circular holes the mode of buckling giving the smallest buckling load remains the same, while for square holes a change of mode is observed at b/d).35. The mode shape for the lowest buckling load for a clamped plate containing a large hole (b/d4i.4) is shown in figure II. This antisymmetric mode contains 3 half sinusoidal waves in the direction of the applied compression, and 2 half waves in the other transverse direction t t ticlma laitador Ks Figure 13 Variation of Vb with Ks for a simply supported plate. Figure 11 Antisymmetric mode of vibration for a clamped plate having b/d=0.4. j- -tstlad P31 1-*- 36: boa3 i-e-3/363.4, -0-u0015 Natural frequencies and buckling loads of plates subjected to biaxial compression. Similar results to those given in figures 8, 9 and 10 were obtained for plates subjected to uniform biaxial inplane loads, and a typical mode of vibration is shown on figure 12. For details of results the reader is directed to a thesis for the degree of Doctorate of Philosophy by G.T.Davies to be submitted to the University of Wales. Figure 12 Mode of vibration for a clamped plate containing a large hole (b/c1=0.5) and subjected to biaxial compression. Natural frequencies and buckling loads of plates subjected to uniformly distributed shear. Figures 13 and 14 give the variation of the frequency coefficient Vb with the shear load factor Ks for simply supported and clamped plates containing circular holes respectively. Figure 14 Variation of Vb with Ks for a clamped plate. All these curves show similar properties to earlier results where uniaxial and biaxial compression are applied, in that an applied load will reduces the frequency coefficient. However for a plate containing a large opening i.e. b/d0.4 or 0.5, Vb will fall sharply, as the applied shear load is increased. Hence the buckling coefficients of a plate containing a large holes is much less than for a plate without a hole. Results for the variation of the buckling loads are inferred from figures 13 and 14 and are shown on figure 15. For both boundary conditions, the shear buckling coefficient Ks steadily decreases as the size of the hole is increased. For the simply supported plate containing circular holes, the reduction in the shear buckling capacity when a large openings is present (b/d1.5), is 66% while for a clamped plate it is 60%. Also plotted on figure 15 are the buckling coefficients for the simply supported and clamped plates containing square holes. The dotted lines show a reduction in the buckling coefficient Ks as b/d is increased from b/d) to b/d9.5. When bid-0.5 the reduction in the shear buckling capacity when all edges are simply supported is 70% and when the edges are clamped is 67%. 5 Downloaded From: on 11/21/2017 Terms of Use:
7 bid Figure 15 Buckling coefficients for simply supported and clamped plates. Finite element results by Rocky et 01.(1967) and Sabir and Chow (1983), are also plotted on figure 15 for plates containing circular holes, and good agreement is observed. REFERENCES. Bogner, F.K., Fox, Rt., and Schmidt, L.A. 1966, "The generation of inter element compatible stiffness and mass matrices by the use of interpolation formulae." Proc. Conf on matrix methods in structural mechanics. Dawe, Di. 1965, " A finite element approach to plate vibration problems" J.Mech.Engng. Sci. Vol 7, No. I. Grossi. R.O.. del V. Arenas, B.. and Laura, P.A.A. 1997" Free vibration of rectangular plates with circular openings" Ocean engineering, Vol 24, No. 1, pp Gutierrez, R.H., Laura, P.A.A., and Pombo, J.L. 1987, "Higher frequencies of transverse vibration of rectangular plates elastically restrained against rotation at edges with central free hole" J. Sound & Vibration, Vol 1170), pp Kapur, K.K., and Hartz, , "Stability of plates using finite element method." Proc. American Society of civil engineers, Journal of Eng. Mech. Div. vol.92, EM2, pp Lee. H.P.. and Lim, S.P. 1992, "Free vibration of isotropic and onhotropic square plates with square cutouts subjected to inplane forces." Comp. and Struct Vol. 43, No Mason, V. 1968, "Rectangular finite elements for analysis of plate vibration," J. Sound & Vibration, Vol 7(3), pp Melosh, I963,. "Basic derivation of matrices for the direct stiffness method." AIAA Journal, Von, No.7, pp Paramasivam P. 1973, "Free vibration of square plates with square openings." Journal of Sound and Vibration. Vol 300), pp Pifko, A.B.. and Ikason, G "A finite element method for the plastic buckling analysis of plates." AIAA Journal. 04 as Prabhalcara, DL., and Dana, RIC 1997, "Vibration, buckling and parametric instability behaviour of plates with centrally located cutouts subjected to inplane edge loading." Thin walled structures, Vol. 27, No. 4, pp Ritchie D, and Rhodes 1, 1975, "Buckling and post buckling behaviour of plates." Aeronautical Quarterly. pp28i-296. Rockey, K.C., Anderson, R.G., and Cheung, Y.K. 1967, " The behaviour of square shear webs having a circular hole," Proc. Thin Walled Structures, Crosby Lockwood, pp Sabir, A.B. 1973, "The application of the finite element method to the buckling of rectangular plates and plates on elastic foundations." Stravebnicky Casopsis Say XXI,I0, Bratilava, pp Sabir A.B. 1983, "A new class of finite elements for plane elasticity problems." Proc. 7th Int seminar on Computational aspect of the FEM. Sabir A.B., and Chow F.Y. 1983, "Elastic buckling of flat panels containing circular and square holes." Instability and plastic collapse of steel structures, Granada, London, pp Sabir A.B. and Chow F.Y. 1986, "Elastic buckling of plates containing eccentrically located circular holes.", Int. 1. Thin Walled Structures, Vol. 4, pp Sabir A.B, Djoudi M.S., and Davies, G.T. 1996, "Vibration and buckling of uniaxially loaded square plates with square holes." Energy Week Conference. Engineering Technology, pp Sabir A.B and Davies. G.T "Vibration and buckling of square plates with square holes subjected to biaxial and shear loads." Energy Week Conference. Engineering Technology, ppi Sabir, A.B. and Davies, G.T. I997a "Natural frequencies of square plates with eccentrically located square holes when loaded by inplane uniaxial or biaxial compression" ASME Energy Week, Book IV, Vol IV, pp Sabir, A.B. and Davies, G.T "Natural frequencies of square plates with eccentrically located square holes when loaded by inplane shear stresses" ASME Energy Week Book IV, Vol IV, pp Sabir, A.B. and Davies, G.T. 1997c "Natural frequencies of square plates with reinforced central holes subjected to inplane loads." ASME Energy Week Book IV. Vol IV, pp Shanmugam N.E., and Narayartan R. 1982, "Elastic buckling of perforates square plates for various loading and edge conditions." Int. Conf on finite element method, Shanghai. Timoshenko, S.P., and Goodier, IN. 1970, "Theory of Elasticity". Second edition, McGraw-Hill Book Company. 7 Downloaded From: on 11/21/2017 Terms of Use:
Stability of Simply Supported Square Plate with Concentric Cutout
International OPEN ACCESS Journal Of Modern Engineering Research (IJMER) Stability of Simply Supported Square Plate with Concentric Cutout Jayashankarbabu B. S. 1, Dr. Karisiddappa 1 (Civil Engineering
More informationCHAPTER 14 BUCKLING ANALYSIS OF 1D AND 2D STRUCTURES
CHAPTER 14 BUCKLING ANALYSIS OF 1D AND 2D STRUCTURES 14.1 GENERAL REMARKS In structures where dominant loading is usually static, the most common cause of the collapse is a buckling failure. Buckling may
More informationEsben Byskov. Elementary Continuum. Mechanics for Everyone. With Applications to Structural Mechanics. Springer
Esben Byskov Elementary Continuum Mechanics for Everyone With Applications to Structural Mechanics Springer Contents Preface v Contents ix Introduction What Is Continuum Mechanics? "I Need Continuum Mechanics
More informationA *69>H>N6 #DJGC6A DG C<>C::G>C<,8>:C8:H /DA 'D 2:6G - ( - ) +"' ( + -"( (' (& -+" % '('%"' +"-2 ( -!"',- % )% -.C>K:GH>IN D; AF69>HH>6,-+
The primary objective is to determine whether the structural efficiency of plates can be improved with variable thickness The large displacement analysis of steel plate with variable thickness at direction
More informationULTIMATE STRENGTH OF SQUARE PLATE WITH RECTANGULAR OPENING UNDER AXIAL COMPRESSION
Journal of Naval Architecture and Marine Engineering June, 2007 http://jname.8m.net ULTIMATE STRENGTH OF SQUARE PLATE WITH RECTANGULAR OPENING UNDER AXIAL COMPRESSION M. Suneel Kumar 1*, P. Alagusundaramoorthy
More informationMechanics of Inflatable Fabric Beams
Copyright c 2008 ICCES ICCES, vol.5, no.2, pp.93-98 Mechanics of Inflatable Fabric Beams C. Wielgosz 1,J.C.Thomas 1,A.LeVan 1 Summary In this paper we present a summary of the behaviour of inflatable fabric
More informationMIXED RECTANGULAR FINITE ELEMENTS FOR PLATE BENDING
144 MIXED RECTANGULAR FINITE ELEMENTS FOR PLATE BENDING J. N. Reddy* and Chen-Shyh-Tsay School of Aerospace, Mechanical and Nuclear Engineering, University of Oklahoma, Norman, Oklahoma The paper describes
More informationRetrospectives on My Studies of Solid Mechanics (II)
Retrospectives on My Studies of Solid Mechanics (II) - a new energy method based on the stationary principle of total energy By Tadahiko Kawai + and Etsu Kazama ++ ABSTRACT A new energy method is proposed
More informationDynamic Analysis of Laminated Composite Plate Structure with Square Cut-Out under Hygrothermal Load
Dynamic Analysis of Laminated Composite Plate Structure with Square Cut-Out under Hygrothermal Load Arun Mukherjee 1, Dr. Sreyashi Das (nee Pal) 2 and Dr. A. Guha Niyogi 3 1 PG student, 2 Asst. Professor,
More informationFinite Element Method in Geotechnical Engineering
Finite Element Method in Geotechnical Engineering Short Course on + Dynamics Boulder, Colorado January 5-8, 2004 Stein Sture Professor of Civil Engineering University of Colorado at Boulder Contents Steps
More informationTHEORY OF PLATES AND SHELLS
THEORY OF PLATES AND SHELLS S. TIMOSHENKO Professor Emeritus of Engineering Mechanics Stanford University S. WOINOWSKY-KRIEGER Professor of Engineering Mechanics Laval University SECOND EDITION MCGRAW-HILL
More informationDynamic Response Of Laminated Composite Shells Subjected To Impulsive Loads
IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-1684,p-ISSN: 2320-334X, Volume 14, Issue 3 Ver. I (May. - June. 2017), PP 108-123 www.iosrjournals.org Dynamic Response Of Laminated
More informationCHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES
CHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES * Governing equations in beam and plate bending ** Solution by superposition 1.1 From Beam Bending to Plate Bending 1.2 Governing Equations For Symmetric
More informationINFLUENCE OF FLANGE STIFFNESS ON DUCTILITY BEHAVIOUR OF PLATE GIRDER
International Journal of Civil Structural 6 Environmental And Infrastructure Engineering Research Vol.1, Issue.1 (2011) 1-15 TJPRC Pvt. Ltd.,. INFLUENCE OF FLANGE STIFFNESS ON DUCTILITY BEHAVIOUR OF PLATE
More information2766. Differential quadrature method (DQM) for studying initial imperfection effects and pre- and post-buckling vibration of plates
2766. Differential quadrature method (DQM) for studying initial imperfection effects and pre- and post-buckling vibration of plates Hesam Makvandi 1, Shapour Moradi 2, Davood Poorveis 3, Kourosh Heidari
More informationPart D: Frames and Plates
Part D: Frames and Plates Plane Frames and Thin Plates A Beam with General Boundary Conditions The Stiffness Method Thin Plates Initial Imperfections The Ritz and Finite Element Approaches A Beam with
More informationSome Aspects Of Dynamic Buckling of Plates Under In Plane Pulse Loading
Mechanics and Mechanical Engineering Vol. 12, No. 2 (2008) 135 146 c Technical University of Lodz Some Aspects Of Dynamic Buckling of Plates Under In Plane Pulse Loading Katarzyna Kowal Michalska, Rados
More informationBUCKLING OF SKEW PLATES WITH CONTINUITY OR ROTATIONAL EDGE RESTRAINT
ICAS 2000 CONGRESS BUCKLING OF SKEW PLATES WITH CONTINUITY OR ROTATIONAL EDGE RESTRAINT P. Huyton and C. B. York Division of Engineering, The University of Edinburgh Crew Building, The King s Buildings,
More informationLevel 7 Postgraduate Diploma in Engineering Computational mechanics using finite element method
9210-203 Level 7 Postgraduate Diploma in Engineering Computational mechanics using finite element method You should have the following for this examination one answer book No additional data is attached
More informationAnalytical Strip Method for Thin Isotropic Cylindrical Shells
IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-1684,p-ISSN: 2320-334X, Volume 14, Issue 4 Ver. III (Jul. Aug. 2017), PP 24-38 www.iosrjournals.org Analytical Strip Method for
More informationInternational Journal of Advanced Engineering Technology E-ISSN
Research Article INTEGRATED FORCE METHOD FOR FIBER REINFORCED COMPOSITE PLATE BENDING PROBLEMS Doiphode G. S., Patodi S. C.* Address for Correspondence Assistant Professor, Applied Mechanics Department,
More informationVibration of Thin Beams by PIM and RPIM methods. *B. Kanber¹, and O. M. Tufik 1
APCOM & ISCM -4 th December, 23, Singapore Vibration of Thin Beams by PIM and RPIM methods *B. Kanber¹, and O. M. Tufik Mechanical Engineering Department, University of Gaziantep, Turkey. *Corresponding
More informationBHAR AT HID AS AN ENGIN E ERI N G C O L L E G E NATTR A MPA LL I
BHAR AT HID AS AN ENGIN E ERI N G C O L L E G E NATTR A MPA LL I 635 8 54. Third Year M E C H A NICAL VI S E M ES TER QUE S T I ON B ANK Subject: ME 6 603 FIN I T E E LE ME N T A N A L YSIS UNI T - I INTRODUCTION
More informationε t increases from the compressioncontrolled Figure 9.15: Adjusted interaction diagram
CHAPTER NINE COLUMNS 4 b. The modified axial strength in compression is reduced to account for accidental eccentricity. The magnitude of axial force evaluated in step (a) is multiplied by 0.80 in case
More informationSimulation of Geometrical Cross-Section for Practical Purposes
Simulation of Geometrical Cross-Section for Practical Purposes Bhasker R.S. 1, Prasad R. K. 2, Kumar V. 3, Prasad P. 4 123 Department of Mechanical Engineering, R.D. Engineering College, Ghaziabad, UP,
More informationChapter 12 Plate Bending Elements. Chapter 12 Plate Bending Elements
CIVL 7/8117 Chapter 12 - Plate Bending Elements 1/34 Chapter 12 Plate Bending Elements Learning Objectives To introduce basic concepts of plate bending. To derive a common plate bending element stiffness
More informationINELASTIC BUCKLING ANALYSIS OF AXIALLY COMPRESSED THIN CCCC PLATES USING TAYLOR-MACLAURIN DISPLACEMENT FUNCTION
ISSN-L: 2223-553, ISSN: 2223-44 Vol 4 No 6 November 2013 INELASTIC BUCKLING ANALYSIS OF AXIALLY COMPRESSED THIN CCCC PLATES USING TAYLOR-MACLAURIN DISPLACEMENT FUNCTION O M Ibearugbulem 1, D O Onwuka 2,
More informationAnalysis of Axially Loaded Non-prismatic Beams with General End Restraints Using Differential Quadrature Method
ISBN 978-93-84422-56-1 Proceedings of International Conference on Architecture, Structure and Civil Engineering (ICASCE'15 Antalya (Turkey Sept. 7-8, 2015 pp. 1-7 Analysis of Axially Loaded Non-prismatic
More informationCHAPTER 5. Beam Theory
CHPTER 5. Beam Theory SangJoon Shin School of Mechanical and erospace Engineering Seoul National University ctive eroelasticity and Rotorcraft Lab. 5. The Euler-Bernoulli assumptions One of its dimensions
More informationStructural Dynamics Lecture Eleven: Dynamic Response of MDOF Systems: (Chapter 11) By: H. Ahmadian
Structural Dynamics Lecture Eleven: Dynamic Response of MDOF Systems: (Chapter 11) By: H. Ahmadian ahmadian@iust.ac.ir Dynamic Response of MDOF Systems: Mode-Superposition Method Mode-Superposition Method:
More informationStrength of Stiffened Plates with Openings
Missouri University of Science and Technology Scholars' Mine International Specialty Conference on Cold- Formed Steel Structures (1994) - 12th International Specialty Conference on Cold-Formed Steel Structures
More informationJEPPIAAR ENGINEERING COLLEGE
JEPPIAAR ENGINEERING COLLEGE Jeppiaar Nagar, Rajiv Gandhi Salai 600 119 DEPARTMENT OFMECHANICAL ENGINEERING QUESTION BANK VI SEMESTER ME6603 FINITE ELEMENT ANALYSIS Regulation 013 SUBJECT YEAR /SEM: III
More informationINSTABILITY OF AXIALLY COMPRESSED CCCC THIN RECTANGULAR PLATE USING TAYLOR-MCLAURIN S SERIES SHAPE FUNCTION ON RITZ METHOD
ISSN-L: 2223-9553, ISSN: 2223-9944 Academic Research International INSTABILITY OF AXIALLY COMPRESSED CCCC THIN RECTANGULAR PLATE USING TAYLOR-MCLAURIN S SERIES SHAPE FUNCTION ON RITZ METHOD O. M. Ibearugbulem
More informationME 1401 FINITE ELEMENT ANALYSIS UNIT I PART -A. 2. Why polynomial type of interpolation functions is mostly used in FEM?
SHRI ANGALAMMAN COLLEGE OF ENGINEERING AND TECHNOLOGY (An ISO 9001:2008 Certified Institution) SIRUGANOOR, TIRUCHIRAPPALLI 621 105 Department of Mechanical Engineering ME 1401 FINITE ELEMENT ANALYSIS 1.
More informationDynamic and buckling analysis of FRP portal frames using a locking-free finite element
Fourth International Conference on FRP Composites in Civil Engineering (CICE8) 22-24July 8, Zurich, Switzerland Dynamic and buckling analysis of FRP portal frames using a locking-free finite element F.
More informationNONLINEAR STRUCTURAL DYNAMICS USING FE METHODS
NONLINEAR STRUCTURAL DYNAMICS USING FE METHODS Nonlinear Structural Dynamics Using FE Methods emphasizes fundamental mechanics principles and outlines a modern approach to understanding structural dynamics.
More informationAEROELASTIC ANALYSIS OF SPHERICAL SHELLS
11th World Congress on Computational Mechanics (WCCM XI) 5th European Conference on Computational Mechanics (ECCM V) 6th European Conference on Computational Fluid Dynamics (ECFD VI) E. Oñate, J. Oliver
More informationElastic buckling of web plates in I-girders under patch and wheel loading
Engineering Structures 27 (2005) 1528 156 www.elsevier.com/locate/engstruct Elastic buckling of web plates in I-girders under patch and wheel loading T. Ren, G.S. Tong Department of Civil Engineering,
More informationREVIEW OF BUCKLING MODE AND GEOMETRY EFFECTS ON POSTBUCKLING STRENGTH OF CORRUGATED CONTAINERS
PVP-VoI. 343, Development, Validation, and Application of Inelastic Methods for Structural Analysis and Design ASME 1996 REVIEW OF BUCKLING MODE AND GEOMETRY EFFECTS ON POSTBUCKLING STRENGTH OF CORRUGATED
More informationFinite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras. Module - 01 Lecture - 13
Finite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras (Refer Slide Time: 00:25) Module - 01 Lecture - 13 In the last class, we have seen how
More informationFLEXIBILITY METHOD FOR INDETERMINATE FRAMES
UNIT - I FLEXIBILITY METHOD FOR INDETERMINATE FRAMES 1. What is meant by indeterminate structures? Structures that do not satisfy the conditions of equilibrium are called indeterminate structure. These
More informationVORONOI APPLIED ELEMENT METHOD FOR STRUCTURAL ANALYSIS: THEORY AND APPLICATION FOR LINEAR AND NON-LINEAR MATERIALS
The 4 th World Conference on Earthquake Engineering October -7, 008, Beijing, China VORONOI APPLIED ELEMENT METHOD FOR STRUCTURAL ANALYSIS: THEORY AND APPLICATION FOR LINEAR AND NON-LINEAR MATERIALS K.
More informationBending of Simply Supported Isotropic and Composite Laminate Plates
Bending of Simply Supported Isotropic and Composite Laminate Plates Ernesto Gutierrez-Miravete 1 Isotropic Plates Consider simply a supported rectangular plate of isotropic material (length a, width b,
More informationChapter 12 Elastic Stability of Columns
Chapter 12 Elastic Stability of Columns Axial compressive loads can cause a sudden lateral deflection (Buckling) For columns made of elastic-perfectly plastic materials, P cr Depends primarily on E and
More informationEffect of Specimen Dimensions on Flexural Modulus in a 3-Point Bending Test
Effect of Specimen Dimensions on Flexural Modulus in a 3-Point Bending Test M. Praveen Kumar 1 and V. Balakrishna Murthy 2* 1 Mechanical Engineering Department, P.V.P. Siddhartha Institute of Technology,
More informationGeneral elastic beam with an elastic foundation
General elastic beam with an elastic foundation Figure 1 shows a beam-column on an elastic foundation. The beam is connected to a continuous series of foundation springs. The other end of the foundation
More informationFINITE ELEMENT ANALYSIS OF TAPERED COMPOSITE PLATE GIRDER WITH A NON-LINEAR VARYING WEB DEPTH
Journal of Engineering Science and Technology Vol. 12, No. 11 (2017) 2839-2854 School of Engineering, Taylor s University FINITE ELEMENT ANALYSIS OF TAPERED COMPOSITE PLATE GIRDER WITH A NON-LINEAR VARYING
More informationBasic Energy Principles in Stiffness Analysis
Basic Energy Principles in Stiffness Analysis Stress-Strain Relations The application of any theory requires knowledge of the physical properties of the material(s) comprising the structure. We are limiting
More informationAnalyse the Stress Concentration Effect of a Perforated Plate under Uniaxial Loading Using Ansys
Analyse the Stress Concentration Effect of a Perforated Plate under Uniaxial Loading Using Ansys Manju Saroha Assistant Professor (Mechanical Engg.), Department of CSE/IT, BPSMV, Khanpur Kalan ABSTRACT
More informationUltimate uniaxial compressive strength of stiffened panel with opening under lateral pressure
csnak, 015 Int. J. Nav. Archit. Ocean Eng. (015) 7:399~408 http://dx.doi.org/10.1515/ijnaoe-015-008 pissn: 09-678, eissn: 09-6790 Ultimate uniaxial compressive strength of stiffened panel with opening
More informationUsing MATLAB and. Abaqus. Finite Element Analysis. Introduction to. Amar Khennane. Taylor & Francis Croup. Taylor & Francis Croup,
Introduction to Finite Element Analysis Using MATLAB and Abaqus Amar Khennane Taylor & Francis Croup Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Croup, an informa business
More informationQuintic beam closed form matrices (revised 2/21, 2/23/12) General elastic beam with an elastic foundation
General elastic beam with an elastic foundation Figure 1 shows a beam-column on an elastic foundation. The beam is connected to a continuous series of foundation springs. The other end of the foundation
More informationGLOBAL AND LOCAL LINEAR BUCKLING BEHAVIOR OF A CHIRAL CELLULAR STRUCTURE
GLOBAL AND LOCAL LINEAR BUCKLING BEHAVIOR OF A CHIRAL CELLULAR STRUCTURE Alessandro Spadoni, Massimo Ruzzene School of Aerospace Engineering Georgia Institute of Technology Atlanta, GA 30332 Fabrizio Scarpa
More informationUNIVERSITY OF SASKATCHEWAN ME MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich
UNIVERSITY OF SASKATCHEWAN ME 313.3 MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich A CLOSED BOOK EXAMINATION TIME: 3 HOURS For Marker s Use Only LAST NAME (printed): FIRST
More informationGATE SOLUTIONS E N G I N E E R I N G
GATE SOLUTIONS C I V I L E N G I N E E R I N G From (1987-018) Office : F-16, (Lower Basement), Katwaria Sarai, New Delhi-110016 Phone : 011-65064 Mobile : 81309090, 9711853908 E-mail: info@iesmasterpublications.com,
More informationHydroelastic vibration of a rectangular perforated plate with a simply supported boundary condition
Fluid Structure Interaction and Moving Boundary Problems IV 63 Hydroelastic vibration of a rectangular perforated plate with a simply supported boundary condition K.-H. Jeong, G.-M. Lee, T.-W. Kim & J.-I.
More informationELASTICITY AND FRACTURE MECHANICS. Vijay G. Ukadgaonker
THEORY OF ELASTICITY AND FRACTURE MECHANICS y x Vijay G. Ukadgaonker Theory of Elasticity and Fracture Mechanics VIJAY G. UKADGAONKER Former Professor Indian Institute of Technology Bombay Delhi-110092
More informationLecture 8. Stress Strain in Multi-dimension
Lecture 8. Stress Strain in Multi-dimension Module. General Field Equations General Field Equations [] Equilibrium Equations in Elastic bodies xx x y z yx zx f x 0, etc [2] Kinematics xx u x x,etc. [3]
More informationThe problem of isotropic rectangular plate with four clamped edges
Sādhanā Vol. 32, Part 3, June 2007, pp. 181 186. Printed in India The problem of isotropic rectangular plate with four clamped edges C ERDEM İMRAK and ISMAIL GERDEMELI Istanbul Technical University, Faculty
More informationCode No: RT41033 R13 Set No. 1 IV B.Tech I Semester Regular Examinations, November - 2016 FINITE ELEMENT METHODS (Common to Mechanical Engineering, Aeronautical Engineering and Automobile Engineering)
More informationIV B.Tech. I Semester Supplementary Examinations, February/March FINITE ELEMENT METHODS (Mechanical Engineering) Time: 3 Hours Max Marks: 80
www..com www..com Code No: M0322/R07 Set No. 1 IV B.Tech. I Semester Supplementary Examinations, February/March - 2011 FINITE ELEMENT METHODS (Mechanical Engineering) Time: 3 Hours Max Marks: 80 Answer
More informationPREDICTION OF BUCKLING AND POSTBUCKLING BEHAVIOUR OF COMPOSITE SHIP PANELS
FONDATĂ 1976 THE ANNALS OF DUNAREA DE JOS UNIVERSITY OF GALATI. FASCICLE IX. METALLURGY AND MATERIALS SCIENCE N 0. 007, ISSN 15 08X PREDICTION OF BUCKLING AND POSTBUCKLING BEHAVIOUR OF COMPOSITE SHIP PANELS
More informationGeneration of Biaxial Interaction Surfaces
COPUTERS AND STRUCTURES, INC., BERKELEY, CALIFORNIA AUGUST 2002 CONCRETE FRAE DESIGN BS 8110-97 Technical Note This Technical Note describes how the program checks column capacity or designs reinforced
More informationNonlinear bending analysis of laminated composite stiffened plates
Nonlinear bending analysis of laminated composite stiffened plates * S.N.Patel 1) 1) Dept. of Civi Engineering, BITS Pilani, Pilani Campus, Pilani-333031, (Raj), India 1) shuvendu@pilani.bits-pilani.ac.in
More information7.6 Stress in symmetrical elastic beam transmitting both shear force and bending moment
7.6 Stress in symmetrical elastic beam transmitting both shear force and bending moment à It is more difficult to obtain an exact solution to this problem since the presence of the shear force means that
More informationFINITE ELEMENT ANALYSIS OF ARKANSAS TEST SERIES PILE #2 USING OPENSEES (WITH LPILE COMPARISON)
FINITE ELEMENT ANALYSIS OF ARKANSAS TEST SERIES PILE #2 USING OPENSEES (WITH LPILE COMPARISON) Ahmed Elgamal and Jinchi Lu October 07 Introduction In this study, we conduct a finite element simulation
More informationEFFECTS OF THERMAL STRESSES AND BOUNDARY CONDITIONS ON THE RESPONSE OF A RECTANGULAR ELASTIC BODY MADE OF FGM
Proceedings of the International Conference on Mechanical Engineering 2007 (ICME2007) 29-31 December 2007, Dhaka, Bangladesh ICME2007-AM-76 EFFECTS OF THERMAL STRESSES AND BOUNDARY CONDITIONS ON THE RESPONSE
More informationIraq Ref. & Air. Cond. Dept/ Technical College / Kirkuk
International Journal of Scientific & Engineering Research, Volume 6, Issue 4, April-015 1678 Study the Increasing of the Cantilever Plate Stiffness by Using s Jawdat Ali Yakoob Iesam Jondi Hasan Ass.
More informationBuckling Analysis of Isotropic Circular Plate with Attached Annular Piezoceramic Plate
Malaysian Journal of Mathematical Sciences 10S February: 443 458 2016 Special Issue: The 3 rd International Conference on Mathematical Applications in Engineering 2014 ICMAE 14 MALAYSIAN JOURNAL OF MATHEMATICAL
More informationResearch Collection. Numerical analysis on the fire behaviour of steel plate girders. Conference Paper. ETH Library
Research Collection Conference Paper Numerical analysis on the fire behaviour of steel plate girders Author(s): Scandella, Claudio; Knobloch, Markus; Fontana, Mario Publication Date: 14 Permanent Link:
More informationFirst-Order Solutions for the Buckling Loads of Euler-Bernoulli Weakened Columns
First-Order Solutions for the Buckling Loads of Euler-Bernoulli Weakened Columns J. A. Loya ; G. Vadillo 2 ; and J. Fernández-Sáez 3 Abstract: In this work, closed-form expressions for the buckling loads
More informationLecture 7: The Beam Element Equations.
4.1 Beam Stiffness. A Beam: A long slender structural component generally subjected to transverse loading that produces significant bending effects as opposed to twisting or axial effects. MECH 40: Finite
More information202 Index. failure, 26 field equation, 122 force, 1
Index acceleration, 12, 161 admissible function, 155 admissible stress, 32 Airy's stress function, 122, 124 d'alembert's principle, 165, 167, 177 amplitude, 171 analogy, 76 anisotropic material, 20 aperiodic
More informationReview of Strain Energy Methods and Introduction to Stiffness Matrix Methods of Structural Analysis
uke University epartment of Civil and Environmental Engineering CEE 42L. Matrix Structural Analysis Henri P. Gavin Fall, 22 Review of Strain Energy Methods and Introduction to Stiffness Matrix Methods
More informationVibration analysis of circular arch element using curvature
Shock and Vibration 15 (28) 481 492 481 IOS Press Vibration analysis of circular arch element using curvature H. Saffari a,. Tabatabaei a, and S.H. Mansouri b a Civil Engineering Department, University
More informationPOST-BUCKLING CAPACITY OF BI-AXIALLY LOADED RECTANGULAR STEEL PLATES
POST-BUCKLING CAPACITY OF BI-AXIALLY LOADED RECTANGULAR STEEL PLATES Jeppe Jönsson a and Tommi H. Bondum b a,b DTU Civil Engineering, Technical University of Denmark Abstract: Results from a detailed numerical
More informationAccordingly, the nominal section strength [resistance] for initiation of yielding is calculated by using Equation C-C3.1.
C3 Flexural Members C3.1 Bending The nominal flexural strength [moment resistance], Mn, shall be the smallest of the values calculated for the limit states of yielding, lateral-torsional buckling and distortional
More informationMechanics of Materials II. Chapter III. A review of the fundamental formulation of stress, strain, and deflection
Mechanics of Materials II Chapter III A review of the fundamental formulation of stress, strain, and deflection Outline Introduction Assumtions and limitations Axial loading Torsion of circular shafts
More information1 Static Plastic Behaviour of Beams
1 Static Plastic Behaviour of Beams 1.1 Introduction Many ductile materials which are used in engineering practice have a considerable reserve capacity beyond the initial yield condition. The uniaxial
More informationUNIT- I Thin plate theory, Structural Instability:
UNIT- I Thin plate theory, Structural Instability: Analysis of thin rectangular plates subject to bending, twisting, distributed transverse load, combined bending and in-plane loading Thin plates having
More informationCHENDU COLLEGE OF ENGINEERING &TECHNOLOGY DEPARTMENT OF CIVIL ENGINEERING SUB CODE & SUB NAME : CE2351-STRUCTURAL ANALYSIS-II UNIT-1 FLEXIBILITY
CHENDU COLLEGE OF ENGINEERING &TECHNOLOGY DEPARTMENT OF CIVIL ENGINEERING SUB CODE & SUB NAME : CE2351-STRUCTURAL ANALYSIS-II UNIT-1 FLEXIBILITY METHOD FOR INDETERMINATE FRAMES PART-A(2MARKS) 1. What is
More informationDirect Strength Method of Design for Shear of Cold-formed Channels Based on a Shear Signature Curve
Missouri University of Science and Technology Scholars' Mine International Specialty Conference on Cold- Formed Steel Structures (2012) - 21st International Specialty Conference on Cold-Formed Steel Structures
More informationDHANALAKSHMI COLLEGE OF ENGINEERING, CHENNAI DEPARTMENT OF MECHANICAL ENGINEERING ME 6603 FINITE ELEMENT ANALYSIS PART A (2 MARKS)
DHANALAKSHMI COLLEGE OF ENGINEERING, CHENNAI DEPARTMENT OF MECHANICAL ENGINEERING ME 6603 FINITE ELEMENT ANALYSIS UNIT I : FINITE ELEMENT FORMULATION OF BOUNDARY VALUE PART A (2 MARKS) 1. Write the types
More informationCRITERIA FOR SELECTION OF FEM MODELS.
CRITERIA FOR SELECTION OF FEM MODELS. Prof. P. C.Vasani,Applied Mechanics Department, L. D. College of Engineering,Ahmedabad- 380015 Ph.(079) 7486320 [R] E-mail:pcv-im@eth.net 1. Criteria for Convergence.
More informationA HIGHER-ORDER BEAM THEORY FOR COMPOSITE BOX BEAMS
A HIGHER-ORDER BEAM THEORY FOR COMPOSITE BOX BEAMS A. Kroker, W. Becker TU Darmstadt, Department of Mechanical Engineering, Chair of Structural Mechanics Hochschulstr. 1, D-64289 Darmstadt, Germany kroker@mechanik.tu-darmstadt.de,
More informationPREDICTION OF COLLAPSED LOAD OF STEEL COLUMNS USING FINITE STRIP METHOD
International Journal of Civil Engineering and Technology (IJCIET) Volume 9, Issue 8, August 2018, pp. 347 357, Article ID: IJCIET_09_08_035 Available online at http://www.iaeme.com/ijciet/issues.asp?jtype=ijciet&vtype=9&itype=8
More informationThermal buckling and post-buckling of laminated composite plates with. temperature dependent properties by an asymptotic numerical method
hermal buckling and post-buckling of laminated composite plates with temperature dependent properties by an asymptotic numerical method F. Abdoun a,*, L. Azrar a,b, E.M. Daya c a LAMA, Higher School of
More informationANALYSIS OF THE INTERACTIVE BUCKLING IN STIFFENED PLATES USING A SEMI-ANALYTICAL METHOD
EUROSTEEL 2014, September 10-12, 2014, Naples, Italy ANALYSIS OF THE INTERACTIVE BUCKLING IN STIFFENED PLATES USING A SEMI-ANALYTICAL METHOD Pedro Salvado Ferreira a, Francisco Virtuoso b a Polytechnic
More information[5] Stress and Strain
[5] Stress and Strain Page 1 of 34 [5] Stress and Strain [5.1] Internal Stress of Solids [5.2] Design of Simple Connections (will not be covered in class) [5.3] Deformation and Strain [5.4] Hooke s Law
More informationEngineering Science OUTCOME 1 - TUTORIAL 4 COLUMNS
Unit 2: Unit code: QCF Level: Credit value: 15 Engineering Science L/601/10 OUTCOME 1 - TUTORIAL COLUMNS 1. Be able to determine the behavioural characteristics of elements of static engineering systems
More informationFinite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras. Lecture - 06
Finite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras Lecture - 06 In the last lecture, we have seen a boundary value problem, using the formal
More informationAn Increase in Elastic Buckling Strength of Plate Girder by the Influence of Transverse Stiffeners
GRD Journals- Global Research and Development Journal for Engineering Volume 2 Issue 6 May 2017 ISSN: 2455-5703 An Increase in Elastic Buckling Strength of Plate Girder by the Influence of Transverse Stiffeners
More informationThe Finite Element Method for Solid and Structural Mechanics
The Finite Element Method for Solid and Structural Mechanics Sixth edition O.C. Zienkiewicz, CBE, FRS UNESCO Professor of Numerical Methods in Engineering International Centre for Numerical Methods in
More informationUnit III Theory of columns. Dr.P.Venkateswara Rao, Associate Professor, Dept. of Civil Engg., SVCE, Sriperumbudir
Unit III Theory of columns 1 Unit III Theory of Columns References: Punmia B.C.,"Theory of Structures" (SMTS) Vol II, Laxmi Publishing Pvt Ltd, New Delhi 2004. Rattan.S.S., "Strength of Materials", Tata
More informationFree Vibration Analysis of an Alround-Clamped Rectangular Thin Orthotropic Plate Using Taylor-Mclaurin Shape Function
American Journal of Engineering Research (AJER) 26 American Journal of Engineering Research (AJER) e-issn: 232-847 p-issn : 232-936 Volume-5, Issue-5, pp-9-97 www.ajer.org Research Paper Open Access Free
More informationANALYSIS OF YARN BENDING BEHAVIOUR
ANALYSIS OF YARN BENDING BEHAVIOUR B. Cornelissen, R. Akkerman Faculty of Engineering Technology, University of Twente Drienerlolaan 5, P.O. Box 217; 7500 AE Enschede, the Netherlands b.cornelissen@utwente.nl
More informationPost Graduate Diploma in Mechanical Engineering Computational mechanics using finite element method
9210-220 Post Graduate Diploma in Mechanical Engineering Computational mechanics using finite element method You should have the following for this examination one answer book scientific calculator No
More informationSIZE EFFECTS IN THE COMPRESSIVE CRUSHING OF HONEYCOMBS
43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Con 22-25 April 2002, Denver, Colorado SIZE EFFECTS IN THE COMPRESSIVE CRUSHING OF HONEYCOMBS Erik C. Mellquistand Anthony M.
More informationCE 221: MECHANICS OF SOLIDS I CHAPTER 1: STRESS. Dr. Krisada Chaiyasarn Department of Civil Engineering, Faculty of Engineering Thammasat university
CE 221: MECHANICS OF SOLIDS I CHAPTER 1: STRESS By Dr. Krisada Chaiyasarn Department of Civil Engineering, Faculty of Engineering Thammasat university Agenda Introduction to your lecturer Introduction
More informationVIBRATION PROBLEMS IN ENGINEERING
VIBRATION PROBLEMS IN ENGINEERING FIFTH EDITION W. WEAVER, JR. Professor Emeritus of Structural Engineering The Late S. P. TIMOSHENKO Professor Emeritus of Engineering Mechanics The Late D. H. YOUNG Professor
More information