Preview

Bending of Beams Experiment Report

Better Essays
Open Document
Open Document
2642 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Bending of Beams Experiment Report
ME 304 – Experimental Engineering Spring 2013

Lab Report

Experiment # 3

Bending of Beams

Section # ThTh12 Group # 1

Ömer Ege Çalışkan
Serhat Karakuz
Noyan Uğur Renda
Turgut Soydan

20.03.2013

Abstract In this experiment, a simply supported beam is used and the variations of deflection of a simply supported beam with load, beam thickness and material are investigated. It is found that the deflection of the beam changes linearly with the load and as the beam thickness increases, the beam deflection decreases. In addition, since different materials have different modulus of elasticity, deflection of different materials under a specific load is different. Depending on the results of the experiment, it is observed that the measured deflection values under different loads and for different materials overlap the Euler-Bernoulli Beam Theory.

Introduction Beams can be described as a structural element that withstands load. Although beams are considered mainly as building structural elements, automobile or machine frames also contain beams to support the structure. Some applications require beams to support loads that can bend the beams, therefore it is important to observe the behavior of the beams under bending forces and which parameters have an effect on this behavior. If the maximum deflection that the beam can resist were not taken into consideration in the design process, there would be some serious failures in structures that can lead to some serious outcomes. 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. 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. During the experiment, the relationship between the deflection and the load is to be observed by changing the load applied to the


References: 1- http://www.efunda.com/formulae/solid_mechanics/beams/theory.cfm 2- http://paws.wcu.edu/radams/intro_to_beam_theory.pdf 3- http://en.wikipedia.org/wiki/Euler%E2%80%93Bernoulli_beam_theory#Boundary_considerations 4- http://www.efunda.com/formulae/solid_mechanics/beams/theory.cfm
Continue Reading
View Writing Issues

You May Also Find These Documents Helpful

  • Better Essays

    AM 317 Experiment 1
    • 1994 Words
    • 14 Pages

    AM 317 Experiment 1

    Deflections of a beam are important to be able predict the amount of deflection for a given loading situation. This experiment addresses determining the yield point for a material to fail, so the stress in the material does not have to reach to that point. This is where understanding beam deflection becomes a useful tool. This experiment is using beam deflection theory to evaluate and compare observed deflection per load values to theoretical values. Beam deflection experiment done by four parts. Part 1 -Simple Supported Bean, part 2-Cantilever Beam, part 3-The Principle of Superposition, and Part 4-Maxwell’s Reciprocity Theorem. For part 1 and 2 beam dimensions were recorded and are moment of inertia (I) was calculated using the following formula I=bh3/12.for part1, maximum permissible loads for mid-span and quarter-span were calculated. For part 2 maximum permissible loads for mid-span and end of the cantilever beam were calculated. For both parts different loads were applied and deflections were recorded. After calculating average modulus of elasticity for simple supported beam, which was approximately (-27.6*10^6 psi), it was compared to modulus of elasticity chart. The result indicates that the beam simple supported beam was made of Wrought iron. For cantilever beam, average modulus of elasticity were calculated, which was approximately (9148056.3), and compared with young’s modulus chart .the result indicate that cantilever beam was made of Aluminum. Part 3 reference point was chosen, single concentrated load at other point was applied and deflection was recorded at reference point. Same procedure was applied at another point on the beam and deflection was recorded at reference point. Finally, both loads were applied and deflection was recorded at the…

    • 1994 Words
    • 14 Pages
    Better Essays
    Read More
  • Better Essays

    Bending of an Aluminum beam
    • 1242 Words
    • 5 Pages

    Bending of an Aluminum beam

    “Beams are long straight members that are subjected to loads perpendicular to their longitudinal axis and are classified according to the way they are supported”[1]. When a beam is subjected to an external load there are unseen internal forces within the beam that one must be aware of when implementing it into any design or structure. These internal forces create stress and strain that could result in failure or deformation. This lab looked at how an aluminum cantilevered beam performed under symmetric and unsymmetrical bending as well as the stresses and strains developed as a result.…

    • 1242 Words
    • 5 Pages
    Better Essays
    Read More
  • Powerful Essays

    Asymmetrical Bending Report Updated
    • 1440 Words
    • 16 Pages

    Asymmetrical Bending Report Updated

    The experiment was conducted to investigate the deflections of the tip of a cantilever when loaded transversely in directions not coinciding with the principal axes of the cross section, and also to determine:…

    • 1440 Words
    • 16 Pages
    Powerful Essays
    Read More
  • Powerful Essays

    ELASTIC DEFORMATION AND POISSON’S RATIO
    • 4723 Words
    • 19 Pages

    ELASTIC DEFORMATION AND POISSON’S RATIO

    A tensile test was performed on a 4140 steel sample and the axial and transverse strains were measured. Data points were collected at incremental loads and graphed to determine the elastic modulus (30.4 x 106). Poisson’s ratio was also calculated from the dataset and determined to be 0.29. These experimental values agree closely (within 2%) to the textbook values of the steel sample. A sample of 7075 Aluminum was used in a cantilever beam test. Intermediate and end loads were place on the sample and the strain was measured at various distances from the loads. Using the dataset from the individual loads, the superposition strain was calculated and agreed within 7% of the experimental strain with both loads. From the measured deflection of the cantilever beam and the dataset, Young’s Modulus for the aluminum sample was determined to be 9.1x106 psi which agrees within 8% of the textbook value.…

    • 4723 Words
    • 19 Pages
    Powerful Essays
    Read More
  • Good Essays

    Truss Bridge Report
    • 840 Words
    • 4 Pages

    Truss Bridge Report

    First of all, what is a truss? In an engineering view, a truss is a structure that is made up of series of triangular unit made of straight members that are connected at junctions known as nodes. External forces created by bodies known as loads, are often placed on areas of the structures which then creates internal forces in the members in form of either a Tensile Force or a Compressive Force. The practical analysis was carried out to help better our understanding on the theories behind the behaviour of a truss under different circumstances.…

    • 840 Words
    • 4 Pages
    Good Essays
    Read More
  • Powerful Essays

    Beam Bending and Superposition
    • 2138 Words
    • 9 Pages

    Beam Bending and Superposition

    An investigation into beam bending and superposition. Being able to analyse how beams bend is an essential tool for all engineers. By using mathematics and material properties, engineers are able to compute structural deformation thus verifying a structures fitness for use. In this experiment a simply supported beam of aluminium is loaded with point forces in three different cases. A clock gauge is positioned in the middle of the beam to measure the deflection. The results of a complex arrangement of forces can be deduced by the superposition of more simple cases. Superposition is possible only when the response of the structure is linear, e.g. when deflection is directly proportional to the applied load. Also the experimental and theoretical deflections of the beam will be compared and a percentage error obtained. There was a second test performed in this investigation demonstrating the influence the 2nd moment of area, also known as the second moment of inertia, had on the load carrying capacity of the beam. The results from test 1 show that it is possible to deduce the deflection of the beam when loaded with point forces by superposition. Results from test 2 show that the deflection of a beam is influenced greatly by its moment of inertia, i.e. with a greater value of inertia there is a smaller deflection.…

    • 2138 Words
    • 9 Pages
    Powerful Essays
    Read More
  • Good Essays

    What Mass Of Collision Took Place In Between The Block And The Stone?
    • 1013 Words
    • 5 Pages

    What Mass Of Collision Took Place In Between The Block And The Stone?

    A 5.0 kg and 2.0 m beam is hinged to a wall and supported by a thin cable attached to a building. The beam is supported at an angle of 400 as showed in the figure and used to support a 10 kg sign.…

    • 1013 Words
    • 5 Pages
    Good Essays
    Read More
  • Powerful Essays

    Bending of Beam Lab Report
    • 1004 Words
    • 5 Pages

    Bending of Beam Lab Report

    In this experiment we tested the deflection of a beam when it is placed with its widest and shortest side of its cross section on the supports. In order to examine the deflection of the beam, we applied the load at the center of its length. In addition, observing the deflection on the beam, we wanted to observe if the behavior of the deflection would be different when the position of the beam changed. After conduction the experiment we conclude that when the beam is positioned with its widest side on the supports, deflection happens faster and as more load is applied the deflection increases.…

    • 1004 Words
    • 5 Pages
    Powerful Essays
    Read More
  • Good Essays

    How to Build a Bridge
    • 829 Words
    • 4 Pages

    How to Build a Bridge

    consists of a horizontal beam supported at each end by piers. The weight of the beam pushes straight down on the piers. The farther apart its piers, the weaker the beam becomes. This is why beam bridges rarely span more than 250 feet.…

    • 829 Words
    • 4 Pages
    Good Essays
    Read More
  • Good Essays

    Deflection
    • 516 Words
    • 3 Pages

    Deflection

    • • • • Double Integration Method Moment-Area Method Elastic Load Method Conjugate Beam Method…

    • 516 Words
    • 3 Pages
    Good Essays
    Read More
  • Powerful Essays

    Bending Moments in a Simply Supported Beam
    • 1818 Words
    • 7 Pages

    Bending Moments in a Simply Supported Beam

    The aim of the experiment is to understand the concept of the structural engineering studies in simpler way, which is through an experiment. At the end of the experiment, the bending moment at any given point along a simply supported can be calculated. How the loading of given set of condition could affect the bending moment also can be understand at the end of the experiment.…

    • 1818 Words
    • 7 Pages
    Powerful Essays
    Read More
  • Satisfactory Essays

    BUCKLING OF STRUTS
    • 382 Words
    • 3 Pages

    BUCKLING OF STRUTS

    We can find two failure points in members exposed to axial compressive forces, also called struts. The first one is squashing of the member, which will only happened if a member is “Stocky”. The second, and most common one, is buckling of the member. This failure happens without much warning, and therefore it is important for engineers to be able to calculate what load on structural element will cause buckling. In this experiment, we will observe the failure mode of buckling, by loading five slender aluminium elements in compression.…

    • 382 Words
    • 3 Pages
    Satisfactory Essays
    Read More
  • Good Essays

    Amsler Universal Testing Machine Lab Report
    • 865 Words
    • 4 Pages

    Amsler Universal Testing Machine Lab Report

    The two failure modes obtained are shown in Fig. 6. S1100-6 specimen was subjected to minor axis bending and failed in flexural buckling mode. S1100-4 specimen subjected to major axis bending with eccentricity equal to 15mm, failed in torsional-flexural buckling mode. Load vs mid height lateral deflection curves were made use of in the determination of failure…

    • 865 Words
    • 4 Pages
    Good Essays
    Read More
  • Satisfactory Essays

    Benkelman Beam Test
    • 997 Words
    • 4 Pages

    Benkelman Beam Test

    A.C.Benkelman devised the simple deflection beam in 1953 for measurement of pavement surface deflection. It is widely used all over the world evaluation of the requirements of strengthening of flexible pavements. This method is done to lay down a uniform procedure for the design of flexible overlays or per I R C:81-1981 here a tentative guideline was published by the Indian road congress under the title “Tentative Guidelines for strengthening of flexible road pavements using Benkelman beam Deflection technique” .…

    • 997 Words
    • 4 Pages
    Satisfactory Essays
    Read More
  • Satisfactory Essays

    Beam Experiment
    • 890 Words
    • 4 Pages

    Beam Experiment

    To determine the reactions of the beams by (a) the experimental set-up and (b) by using the principles of statics and method of consistent deformation…

    • 890 Words
    • 4 Pages
    Satisfactory Essays
    Read More

Related Topics