Doc somprb3 simple supported beam lab report charly. Beams are also used in machine parts, for example, the armature shaft in a generator may be considered as a simply supported beam carrying a uniformly distributed load over a portion of its length. This bench top mounted unit is used to study torsion and torsional vibration. Beam deflection formulas beam type slope at ends deflection at any section in terms of x maximum and center deflection 6. Beam simply supported at ends concentrated load p at the center 2 1216 pl e i 2 2 2 3 px l l for 0yx x 12 4 2. The basic unit provides facilities for supporting beams on simple, builtin and sinking supports, applying point loads, and measuring support reactions and beam deflections. In this chapter we discuss shear forces and bending moments in beams related to the loads. For a concentrated load pu applied at the center line of a simplysupported beam with a rectangular cross section. A bench mounted beam apparatus to allow students to investigate the deflections and reactions in simply. For example, figure 4shows an arrangement producing a cantilevered beam, figure 5shows a simply supported beam, and figure 6shows a simply. In order to conduct this experiment and to investigate the variation of deflection of a simply supported beam, an apparatus that contains two support points is used.
It is thus ideal for testing simple theoretical predictions or measuring material properties and assessing instrumentation limits and errors through beam theory. Aim of the practical to find the deflection of simply supported beam,bending moment and radius of curvature. Alternatively, it may be necessary to check the ability of a given beam to span between two supports and to carry a. According to the figure of str2 bending moment in beam structure, beam is supported at two points using pivots. Structural engineering is a subdiscipline of civil engineering in which structural engineers are trained to design the bones and muscles that create the form and shape of man made structures. It is the one of the simplest structural elements in existence. Many structures can be approximated as a straight beam or as a collection of straight beams. A simply supported beam is a type of beam that has pinned support at one end and roller support at the other end. You created this pdf from an application that is not licensed to print to novapdf printer. The beam is a steel wideflange section with e 28 106 psi and an allowable bending stress of 17,500 psi in both tension and compression. You can find comprehensive tables in references such as gere, lindeburg, and shigley. The mechanics of materials laboratory manual is written to describe the experiments in. Momentarea method step by step explanation and solved. The reaction act at the ends of effective span of the beam.
Reference is 1608 method for tensile testing of steel products. Hunt,a, houjiang zhang,b zhiren guo,b and feng fuc a new cantilever beam apparatus has been developed to measure static. The apparatus applies a known displacement to the beam before it is released to free vibration. For information on beam deflection, see our reference on. Bench top apparatus for large number of beam tests. Deflection of beams effect of beam length and width 1. At the end of the test, they removed all the weights and checked the height. To determine the support reactions for a simply supported beam using parallel force apparatus. The beam deflection apparatus has been designed to enable students to carry out experiments on simply supported and cantilever beams in order to investigate the relationship between the deflections and the applied loads and the effect of variations in length and cross. In this problem we solve an introductory problem while explaining the relation between the elastic curve, the. The objective of this laboratory experiment is to find the relationship between the deflection y at the centre of a simply supported beam and the span, width. Solution manual engineering mechanics dynamics by r. Pdf development of a beam deflection apparatus from locally.
Calculate the ratio l of the deflection at the free end to the length, assuming that the beam carries the maximum allowable load. Steel beams, deflection measuring device, 500g weight. Certain simple cases of the effect of torsion in simply supported beams and cantilever. Deflection of beam apparatus free download as word doc. The beam apparatus allows an extensive range of experiments to cover virtually all course requirements relating to bending of beams. Tecquipment beam apparatus sm1004 ayva educational. For such beams the reactions at the two ends are vertical. The primary function of this apparatus is to provide a calibration standard for strain.
In addition the effect of sinking supports on a continuous beam can be studied. Results midway through the strength of materials course, students learn analytical methods for calculating deflection at the midspan of a simplysupported beam. Integrated into each beam case is a calculator that can be used to determine the maximum displacements, slopes, moments, stresses, and shear forces for this beam problem. To achieve these objectives, research into the development of the concept of elastic deflections and its theory was done. Shear force, bending moment, deflection beams, strut apparatus test. Calculate the maximum bending moment m with regard to the nature of loading condition and span. The elastic deflection experienced by a beam under transverse loads was. Damped vibration analysis of composite simply supported beam. To determine the deflection of simply supported beam by.
Is to find the relationship between the deflection at the center of a simply supported beam and the span, width. In this experiment, an overhanging beam is used, which can be defined as a beam simply supported at two fixed supports and having both ends extended beyond the supports. If the beam was cut as shown, in order to keep the left section in place, not only would a vertical force have to be applied the. This section covers shear force and bending moment in beams, shear and moment diagrams, stresses in beams, and a table of common beam deflection formulas. This experiment is about studying the effect of force magnitude on bending of beam and for that structure hardware called str2 bending moment in a beam is used. Beams are generally classified according to their geometry and manner in which they are supported.
Deflectionof simply supported beam and cantilever 2. Mechanics of solids beams tutorial 2 shear force and bending moments in beams this is the second tutorial on bending of beams. A benchtop frame with load cells and cantilevers for the study of deflection and forces on different types of beams for a wide range of supports. Cantilever b simply supported c overhanging d continuous e fixed ended f cantilever, simply supported 4 5. The following image illustrates a simply supported beam. Simply supported beam apparatus consisting of graduated beam supported on two weighing.
Evenesen5 extended the study for various boundary conditions using the perturbation method. Doc shear force, bending moment, deflection beams, strut. Lab manual for deflection of beam experiment three handout. A simply supported beam is the simplest structural element, as the name itself suggests, it is supported at its both ends, at one end it is pinned and the other is either pinned or rollers are used. Each experiment procedure is explained thoroughly along.
In simply supported the 2 free ends of the beam are supported by knife. To conduct deflection test on a simply supported beam carrying a point load at a distance a from left support. Simply supported beam an overview sciencedirect topics. The tables below give equations for the deflection, slope, shear, and moment along straight beams for different end conditions and loadings. For a simply supported beam, two vertical loads with the same magnitude, one is located in the middle of the span and the other is located in the neighborhood of fixed supported point. For carrying out tests, the following procedure should be adopted very. To determine the deflection of simply supported beam by using bending bar apparatus. The end clamp also offers work on simple and propped cantilevers. The amount of deflection due to a single concentrated load p, is given by. Declaration the work presented in this project is the original. The basic unit provides facilities for supporting beams on simple, builtin and sinking supports, applying. Design steps of simply supported steel beam daily civil. Solution manual thermodynamics an engineering approach 5th ed.
Deflection of beam apparatus beam structure bending scribd. Structural engineers need to understand and calculate the stability, strength and rigidity of built structures for buildings and nonbuilding structures. At a particular load the deflection at the center of the beam is determined by using a dial gauge. To determine the central deflection of a simply supported beam loaded by a. The large deflection of a simplysupported beam loaded in the middle is a classic problem in mechanics which has been studied by many people who have implemented different methods to determine the. The hsm1cd apparatus allows an unlimited range of beam experiments to be performed to measure support reactions and the deflections and rotations of simply supported, fixed and two span continuous beams. To determine the reactions of the beams by a the experimental setup and b by using the principles of statics and method of consistent deformation apparatus tecquipment sm 104 beam apparatus mk iii figure 1 experimental procedures 1.
A set of calibrated weights and hangers are supplied along with the necessary tools to adjust the equipment. Bending of beams experiment report research paper 2642 words. This final measurement verified that the beam had not been plastically deformed. Depending on the load applied, it undergoes shearing and bending. First of all the apparatus was setup and beam was placed on it.
The apparatus is constructed around a profiled aluminium base with levelling feet, onto which is mounted 4. For this reason, the analysis of stresses and deflections in a beam is an important and useful topic. However, the tables below cover most of the common cases. The cantilever beam static bending and vibration test apparatus provides a quick method to measure preload and end displacement of a fiberboard composite beam for both static and dynamic response. The most critical laboratory equipment useful in material testing is beam deflection apparatus bda which is useful in the determination of. A supported beam loaded by a force and a distribution of pressure.
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