These values of beam deflection will be used in the analysis, as they will be compared to the experimental data obtained. The lab consists of 4 distinct experiments, each requiring students to measure maximum deflection of a simply supported beam. Pdf the large deflection of a simplysupported beam loaded in the middle is a classic problem in mechanics which has been studied by many. Other mechanisms, for example twisting of the beam, are not allowed for in this theory.
On the manner in which they are supported, the beams may readily be classified as cantilevers, simply supported, overhanging, continuous and fixended beam. Since this load is in the middle location departure from the notch vertical line, it must generate a complex crack at the notch tip, which propagates alone a zigzag route and toward the loading position. Aim of the practical to find the deflection of simply supported beam,bending moment and radius of curvature. 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 ei 3 max pl 48 e i x 7. Lab report shear force in a beam linkedin slideshare. In this experiment only two types of beam will be discussed one is simple supported beam and other is cantilever beam. May 02, 2015 deflection of simply supported beam and cantilever 1. The objective of this experiment is to demonstrate the bending of a bean when loaded at the center of its length and examine its deflection when positioned in two different ways, when the flat side of the beam is support and when the thin side is supported. Beam reaction apparatus, weights, weight hanger, string, meter scale and hooks. In each experiment, a single variable is adjusted first load, then span.
This report will evaluate a simply supported beam that has a downward load p applied at the midpoint. As such, the analysis of a beam under loading is of utmost importance. Thus, the obtained results from the experiment are. According to the figure of str2 bending moment in beam structure, beam is supported at two points using pivots. You created this pdf from an application that is not licensed to print to. The experiment hardware is a simply supported beam with a cut. The deflection of the beam in the case of impact is y dyn k dyn y st. To establish the relationship between deflection and applied load and determine the elastic modulus of the beam specimen from the deflection data. Deflection and stress analysis of a simply supported beam and its validation using ansys. Somprb3 simple supported beam lab report ch mostert 56000928 date due. Draw the influence line diagram for shear force at a point x in a simply supported beam ab of span l m. Teaching engineering reasoning using a beam deflection lab abstract.
A simply supported beam is a type of beam that has pinned support at one end and roller support at the other end. Finite element analysis of stresses in beam structures 6 distributed in transverse direction, volume force, which is piecewise constant in axial direction, or distributed nodal line load, which is piecewise constant in axial direction. S l n xdx l n f x l a 0 sin 2 18 substituting initial velocity into equation 16 yields. Verification of reciprocal theorem of deflection using a simply supported beam. Bending of beam lab report essay 1003 words bartleby. To note the source of errors in a typical simply supported beam experiment. The amount of deflection due to a single concentrated load p, is given by. The beam, or flexural member, is frequently encountered in structures and machines, and its elementary stress analysis constitutes one of the more interesting facets of mechanics of materials. 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. Chapter5 deflection of beam page 7 ix a simply supported beam with a continuously distributed load the intensity of which at any point x along the beam is x sin x ww l i a cantilever beam with point load at the free end. The object of this experiment is to verify the use of a bending moment influence line for a simply supported beam. To determine the reactions for simply supported beam.
Analysis of a simply supported beam scientific observation. The object of the experiments is to measure the support reactions for a variety of configurations of simply supported beams. Beam deflections in the ydirection are denoted using the variable vwhich in general will be a function of z, i. Lab manual for deflection of beam experiment three handout. Pdf theoretical and experimental modal analysis of beam. Procedure to find out the reaction of simply supported beam. Three simply supported example beams, with solid rectangular, open u. 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.
How to calculate reactions of simply supported beam. Eulerbernoulli beam theory can be used to predict the theoretical values of beam deflection among other quantities. 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. Simply supported beam apparatus consisting of graduated beam supported on two. A simply supported beam is the most simple arrangement of the structure. To use measured deflections and theory to evaluate the youngs modulus of the material. Theory consider the idealized beam shown in figure 11.
They also learn how to use prepared formulas from a table the formula method. Declaration the work presented in this project is the original. We define coordinate zalong the long axis of the beam the spanwise neutral axis, coordinate y vertically from the centerline of the beam and coordinate xwidthwise across the beam so as to complete a right handed system. Experiments were performed on simple supported beam and cantilever beam made of three different material brass, aluminum and steel. Feb 28, 2017 a short tutorial with a numerical worked example to show how to determine the reactions at supports of simply supported beam with a point load. S z 20 l n xdx l n g x l b 0 sin 2 1 intermediate concentrated load. Deflection of simply supported beam lab report conclusion. Note the distance of weight jaws from the support and value of weights. Condition of equilibrium for vertical parallel forces acting on a body is. A simply supported beam cannot have any translational displacements at its support points, but no restriction is placed on rotations at the supports. A simply supported beam is subjected to the sudden impact of load p that is falling from height h.
Simply supported beam simply supported beam all experiment pdf supported html and css for the amazon kindle 2 things not supported in lightning experience chase mobile checkout supported devices oligomerization of light olefins in the presence of a supported bronsted acidic ionic liquid catalys simply better simply said simply. A supported beam loaded by a force and a distribution of pressure it is convenient to show a twodimensional crosssection of the threedimensional beam together with the beam cross section, as in fig. Trussed beam is a special type of beam which has increased strength due to additional rods and cables in beam in this experiment only two types of beam will be discussed one is simple supported beam and other is cantilever beam. It is the one of the simplest structural elements in existence. With the help of the data collected from the experiment graphs were prepared for each and every case and all those graphs are mention below. In our beam experiment, deflection at the midspan is given by 4. Consider a beam subjected to transverse loads as shown in figure, the deflections occur in the plane same as the loading plane, is called the plane of bending. The beam apparatus allows an extensive range of experiments to cover virtually all course requirements relating to bending of beams. Beam apparatus sm1004 materials testing tecquipment. This theoretical data calculated from equations 4 and 5 was then be used to compare to the experimental data to see how well the specimens acted under load based on deflection. Teaching engineering reasoning using a beam deflection lab. 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.
Beams are generally classified according to their geometry and manner in which they are supported. Deflection of a simply supported beam introduction to practicing engineers, the amount a beam bends known as. The following image illustrates a simply supported beam. The beam is supported at each end, and the load is distributed along its length. 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.
Doc somprb3 simple supported beam lab report charly. Solution the bending moment and the elastic the dashed line in fig. Therefore, we will analyze only the left half of the beam segment ab. Analysis of a simply supported beam free download as word doc. Deflectionof simply supported beam and cantilever 2. In this chapter we discuss shear forces and bending moments in beams related to the loads. To compare the analytical and experimental values of strains in the beam. Neutral beam spectroscopy for equilibrium and ility beam aratus sm1004 materials testing tecquipment static equilibrium of a loaded beam new page 1 the open door site ib physics equilibrium of forces. Depending on the load applied, it undergoes shearing and bending. Pdf deflection and stress analysis of a simply supported. Beam simply supported at ends concentrated load p at any point 22 1 pb l b.
Then hang the beam on the hooks and weights on bam with hangers. C use the simple beam theory to calculate the beam deflection analytically. The object of the experiments is to find the support reactions and central moment for a simply supported continuous beam. Lab report bending moment in a simply supported beam free essays. The beam fits onto a structures test frame str1 available separately a mechanism bridges the cut, which stops the beam collapsing and allows movement in the shear direction only. For this one should know values o weight of beams, length of beams and weight of hanger. To measure deflections and strains in a simply supported steel beam.
Lab 2 experiment 2 deflection of a simply supported beam. Deflection of simply supported beam with concentrated point load on the mid of beam apparatus. To determine the support reactions for a simply supported beam using parallel force apparatus. Talking about the material of the beam, in this lab experiment three materials brass, aluminum and steel will be. Simply supported beam an overview sciencedirect topics. Is to find the relationship between the deflection at the center of a simply supported beam and the span, width. Deflection of beams effect of beam length and width 1. A beam is a member subjected to loads applied transverse to the long dimension, causing the member to bend. Pdf large deflection of a simply supported beam researchgate. How to calculate support reactions of a simply supported beam. Jul, 2017 labnotes, experiments, how to, mechanics lab.
To conduct deflection test on a simply supported beam carrying a point load at a distance a from left support. Santhi school of mechanical and building sciences, vit university, vellore, tamil nadu, india abstract a beam is a key structural member used in most constructions. How to calculate support reactions of a simply supported. If p is the concentrated load acting at distance x 1 from the left. The deflection from the dynamic force is equal to the static deflection from the force p times the dynamic coefficient k dyn. The apparatus to be used in this experiment consists of a simple beam this will be your test structure, a frame in which that beam can be mounted and its deformation measured, and a loading fixture that allows weights to be attached to the beam. Deflection of a simply supported beam x4e6dzw10mn3. At a particular load the deflection at the center of the beam is determined by using a dial gauge. Spring balance, stands, leveling deices, weights and hangers.
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