... Brancheriau section [2] Timoshenko [8] defined K as the ratio of the average shear strain on a section to the shear strain at the centroid The K value is thus 2/3 for a beam with a rectangular cross section ... effect of the cross section size on the shear factor value We propose a new theoretical shear factor formulation for orthotropic material such as wood with a rectangular cross section – it allows ... the function ϕ (y,z) In particular, it is shown that σxy could be written as (3) for a rectangular cross section [9]: Ty ∂ϕ( y, z ) - -σxy = h - – y + - (3) 4 2I Gz ∂z...
... 445A, Shear and Torsion-Strut and Tie; and a member of ACI Committees 440, Fiber- Reinforced Polymer Reinforcement; 544, Fiber- Reinforced Concrete; and Joint ACI-ASCE Committee 445, Shear and Torsion ... experimental investigation of 12 large-scale concrete deep beams internally reinforced with GFRP The influences on shear capacity from the crosssection geometry, concrete strength, a/d, and reinforcement ... greater than those generally used in the design of steel-reinforced concrete deep beams The behavior of deep beams is not well-understood for the case of where high reinforcement strains would...
... characterization of Monte Carlo calculated electron beams for radiotherapy Med Phys 1996; 24:401-416 Ma C-M and Jiang SB Monte Carlo modeling of electron beams from medical accelerators Phys Med Biol ... Methods We have commissioned NXEGS 1.0.10.0 software for Monte Carlo simulation of the electron beams of a Varian Clinac 2100C medical accelerator with nominal energies 6, 9, and 12 MeV, each ... to perform the commissioning, a process yielding 10 different beam models for each of the nine beams In general, the execution time required for NXEGS to generate the beam model varies with the...
... Four beams (A1, A2, B1, B2) are the simply supported beams with a flanged cross -section, whereas the other two beams (C1, C2) are two span continuous beams with a rectangular cross -section Beams ... typical beams with the depth of cable of 0.25 m from the top surface, and beams with series B are the beams with large eccentricities with the depth of cable of 0.375 m Beams A1, B1 and beams with ... continuous beams with large eccentricities 750/-320* 164.0 42.4 1500 1750 * at the midspan section / the center supported section, (-) deviator is located on the top surface of cross section -118-...
... prestressed concrete beams with bonded cables and prestressed concrete beams with unbonded cables And in each group, beams can be divided into small subgroup For example, beams prestressed with ... prestressed beams with external cables Externally prestressed beams with large eccentric cables Deviators are located within the depth of cross section Deviators are located outside the depth of cross section ... of all kind of beams prestressed with external cables such as simply supported or multiple span continuous beams with any cable configuration, beams with or without deviators and beams with large...
... (10.6.2.4.3-1) consolidation settlement due to these two components can be estimated by Equation or Equation Normally consolidated and underconsolidated For normally consolidated soils where ... exhibit a preconsolidation stress less than the calculated existing overburden stress The soil is then said to be underconsolidated because a state of equilibrium has For overconsolidated soils ... consolidation settlement of each increment analyzed separately The total value of Sc is the summation of Sc for each increment The magnitude of consolidation settlement depends on the consolidation...
... mm 30 mm 300 mm x 40 mm y 400 mm Ans : b = 259 mm 7/ q A beam having a cross section in the form of an unsymmetric I section (see figure) is subjected to a bending moment acting about the x axis ... possible bending moment? Ans: b = d / 3; h = d / 5/ A wood beam ABC of square q = 1.5 kN/m cross section is supported at A b and B and has an overhang b BC (see figure) A uniform load L = 2.5m ... intensity q = 1.5 kN/m acts on the beam Calculate the required side dimension b of the square cross section assuming L = 2.5 m and σallow = 12 MPa Include the the effect of the weight of the beam...
... to add electrons to ion beamsSection 11.4 reviews focal limits on neutralized ion beams, while Section 11.5 describes methods to control and to accelerate high-flux ion beams Chapter 12 discusses ... two sections review the generation of pulsed electron beams Sections 8.4 and 8.5 discuss two important processes for diode technology, magnetic insulation and plasma erosion The final four sections ... The beams in these devices are paraxial - particle orbits make small angles with respect to the axis Sections 9.1 through 9.3 Introduction Charged Particle Beams derive envelope equations for beams...
... sections Consider the beam of rectangular cross -section shown in Figure 11.6 The breadth of the concrete is b, and h is the depth of the steel reinforcement below the upper extreme fibres The beam ... 88.0 kNm Problem 11.6 A steel I -section, 12.5 cm by 7.5 cm, is encased in a rectangular concrete beam of breadth 20 cm and depth 30 cm to the lower flange of the I -section Estimate the position ... concrete beam of rectangularsection is 10 cm wide and is reinforced with steel bars whose axes are 30 cm below the top of the beam Estimate the required total area of the cross -section of the...
... the crosssection is then 6vs yNA sz = = TN.4 - sz G Then (13.69) For a cantilever of thin rectangular cross -section, Section 10.2, T~~ 3F 2ht - = (13.70) where h is the depth of the cross -section, ... of beams due to shear In our simple theory of bending of beams, we assumed that plane sections remain plane during bendmg The effect of shearing forces in a beam is to distort plane cross-sections ... 6EIA ,,(I +F) where I is the second moment of area of the section of the beams (Cambridge) Deflection of beams 338 13.16 Two equal steel beams are built-in at one end and connected by a steel rod...
... cross -section 9.4 Beams having two axes of symmetry in the cross -section Many cross-sectional forms used in practice have two axes of symmetry; examples are the I -section and circular sections, ... besides the rectangular beam already discussed Figure 9.9 (i) I -section beam (ii) Solid circular cross -section (iii) Hollow circular cross -section An axis of symmetry of a cross -section is also ... axis In section 9.2 we consideredthe bending of a straight beam of rectangular cross -section; this form of cross -section has two axes of symmetry More generally we are concerned with sectionshaving...
... Elastic-plastic bending of a rectangular mild-steel beam 353 Figure 15.4 Elastic-plastic bending of a rectangularsection beam Consider again a mild-steel beam of rectangular cross -section, Figure 15.4, ... bending In the case of the rectangular and I -section beams treated so far, the neutral axis of bending coincided with an axis of symmetry of the cross -section For a section that is unsymmetrical ... Beam of rectangular cross -section 35 Figure 15.2 Idealized tensile and compressive stress-strain curves of annealed mild steel 15.2 Beam of rectangular cross -section As an example...
... elastic section modulus Figure 10.10 Sliding action between two beams superimposed without shearing connections In the case of two equal beams of rectangular cross -section, the elastic section ... cross -section we find that the shearing stress is nearly uniformly distributed over the surfaces of the type BDEGHJ This is the case in thin-walled beams, such as I-sections and channel sections ... applied to every cross -section of the beam Figure 10.4 Variation of shearing stresses over the depth of a beam of rectangular cross -section The variation o f t over the cross -section of the beam...
... for a rectangular section, as obtained by the computer program LAPLACE (The solution was carried out on an Apple II + microcomputer, and the screen was then photographed.) As the rectangularsection ... with the value obtained in Chapter Consider a rectangular section, where the sand-hill is shown in Figure 20.13 Figure 20.13 Sand-hill for rectangularsection The volume under sand-hill is V o l ... the rectangularsection n Consider an equilateral triangular section, where the sand-hill is shown i Figure 20.14 (a) Plan (b) SeCtlon through A - A Figure 20.14 Sand-hill for triangular section...
... Gottlieb, Clive L M Ireland, and John Martin Ley Single-Mode Fiber Optics: Principles and Applications, Luc B Jeunhomme Pulse Code Formats for Fiber Optical Data Communication: Basic Principles and ... by Peter K Cheo Handbook of Optical Fibers and Cables, Hiroshi Murata Acousto-Optics, Adrian Korpel Procedures in Applied Optics, John Strong Handbook of Solid- State Lasers, edited by Peter K ... films with ion beams The size of a spike region is typically a few nanometers — just the right size for materials modification for the purposes of nanotechnology Future uses of ion beams may thus...
... as follows In Section we define some notations and establish the global existence and uniqueness results (see Theorem 2.2) Weak solutions are also considered (see Theorem 2.6) In Section we prove ... conditions: slow oscillations of beams on elastic bearings, Annali della Scuola Normale Superiore di Pisa Classe di Scienze 20 (1993), no 1, 133–146 [3] M R Grossinho and T F Ma, Symmetric equilibria ... nonlinear boundary conditions involving third-order derivatives That class of problems models elastic beams on elastic bearings, and one of the first results, with nonlinearities, was given by Feireisl...
... mounted on linear motors is used [43] 4D treatment planning for scanned ion beams The combination of scanned particle beams and target motion represents a double-dynamic system that requires a ... pencil beams (~7 mm full width http://www.ro-journal.com/content/2/1/24 at half maximum) results in overshooting distal of the sharp gradient for some parts of the diameter of the pencil beams ... algorithms used for standard irradiations (see section Carbon ion therapy at GSI and [40]) depend on the motion mitigation technique The following sections describe our implementations of rescanning,...
... = 0.90 for steel beams and 0.85 for composite beams In addition to the requirements in Eqs 3-37 and 3-38, openings in composite beams should be spaced so that (3-39a) = cross-sectional area of ... response of members to loading Section 5.2h provides the commentary for section 3.2 on load and resistance factors, while sections 5.3 through 5.7 provide the commentary for sections 3.3 through 3.7 ... failure modes for beams with web openings are illustrated in Fig 5.2 Figures 5.2(a) and 5.2(b) illustrate steel beams, while Figs 5.2(c) and 5.2(d) illustrate compbsite beams with solid slabs High...
... that apply to all beams Sections 4.2 through 4.6 present design examples The examples in sections 4.2, 4.4, 4.5, and 4.6 follow the LRFD approach In section 4.3, the example in section 4.2 is resolved ... must not exceed (section 3.7bl) (c) The opening parameter, must not exceed 5.6 for steel beams or 6.0 for composite beams (section 3.7a2) Tee dimensions (a) Depth (composite)] (section 3.7bl) (b) ... design aids that apply to steel beams with unreinforced openings, steel beams with reinforced openings, composite beams with unreinforced openings, and composite beams with reinforced openings,...