It can also be concluded that the experimental elastic modulus of same material is different in every case and really depends on the beam type, shape and loading place.
Error in apparatus which is also known as instrument error can easily be find out by repeating a certain experiment over and over again if all experiment show inaccurate value means apparatus has some errors. Instrument error includes inaccurate dial gauge, apparatus not balance on horizontal surface or beam is already deformed.
According to Raymond Aurelius Higgins there is a great different in values of elastic modulus, which shows that there are some errors in the experiment and those errors needed to discussed in order to get accurate values for elastic modulus.
Beam with high value of second moment of inertia or second moment of area will show less deflection and beam with low value of second moment of inertia will show larger deflection. Brass graph for cantilever show similar trends of first graph but in this graph value of displacement for both spans are very different.
From these experiments it can be concluded that the deflection in a beam under a constant force depends on its type, shape, material and point of application of force.
It can be removed by calibrating it with a good standard apparatus. Values of the displacement of bam for brass is greater than steel because according To Kenneth G.
Personal error can find out by repeating the experiment with some experience person and can be removed by practices.
According to the table the value of elastic modulus for brass is about A personal error includes observation and calculation with wrong method or lack of experience in experimentation. Now each graph will be discussed here. Six experiments were performed on two different types of beam under tow different conditions and result where plotted on graphs and were discussed in details.
For steel the elastic modulus value is about 29 GPa which more than six time less than the book value of GPa. Aluminum graphs for cantilever has the trend as of brass graph but the values are very different.
Like that for aluminum the value of elastic modulus is almost 26 GPa which is almost 2. From this it can be concluded that the second moment of inertia is property of beam which resist the bending or deflection of beam. Steel graph for cantilever show very abnormal values of displacement.
It also has liner response between load and displacement but its value of displacement for the given load is more than that of the brass which shows that aluminum is more ductile than that of brass as explained by B.R. Ehrgott 2/11 01/28/01 I. OBJECTIVES To observe, evaluate and report on the load deflection relationship of a simply supported beam and a cantilever beam.
1. Title of Experiment: Deflection of a Beam. E L3 W 48 I 1. Deflection vs Load. A. Theory: The mid-span deflection of a simply supported beam loaded with a load W at mid-span is given by.0 LAB CODE AND TITLE OF EXPERIMENT: Lab Code: DM1.
Objective: To establish the 3/5(5). Now you Leah Perez Page 3 of 20 9/21/10 Lab Report: Lab #3 Beam Bending Experiment will load the beam with weights in 25 lb increments, starting at 25 lbs and ending at lbs or until you reach in deflection/5(3).
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. We will write a custom essay sample on Bending of Beam Lab Report specifically for you.
In engineering, deflection is the degree to which a structural element is displaced under a load. It may refer to an angle or a distance. The deflection distance of a member under a load is directly related to the slope of the deflected shape of the member under that load, and can be calculated by integrating the function that mathematically.
The Report of Deflections of Beams and Cantilevers Summary: There are four parts in this big experiment, including deflection of a cantilever, deflection of a simply supported beam, the shape of a deflected beam, and circular bending.Download