# The report of deflection of a

Experiments on these beams have been carried out and maximum deflection has been noted. The experiment has been carried out for different loads. The results obtained have been validated through theoretical and numerical approach. Numerical approach includes mathematical and simulation approach. These fall into two main categories - destructive testing and non-destructive testing. Finding Bending Stress and Modulus of Elasticity E The bending of beams is one of the most important types of stress in engineering. In this laboratory, we will be determining the Modulus of Elasticity E also called Young's Modulus of the various materials and using Solid Edge to determine the Second Moment of Area for the different cross-sections.

Bending Equations Use units: Can calculate using SolidEdge sketch. In our case, we must first convert the mass to Newtons N. I is the Second Moment of Area in mm4.

We can calculate this for a rectangle using a simple formula; For other shapes it is not so simple. We need to calculate these using a CAD program see footnote. Determining the value of E in MPa. This is simply half the depth for all the symmetrical beams except the channel.

To find the centroid for the channel you need to use Solid Edge again same as the Ixx window Laboratory Load another beam onto the rig. Adjust dial gauge to ensure it is touching the beam. Zero the dial face by rotating the lense and locking in place. Apply each load and record the deflection measurement.

Check you have all recordings: Beam material, beam cross-sectional dimensions, span length, deflection readings, masses. Make estimates of the errors associated with each measurement.

Report Use Inventor to calculate Ixx for each beam. While you are still in the profile sketch i. Each beam must have at least 3 weights. Make sure the deflection does not exceed the travel of the dial indicator if so, use a lighter weight. Using the equations above, calculate the value of E.

Show the working for 1 example calculation, but only give the rest of the answers in a table. Use Excel to do your calculations. Determine the maximum stress for each mass load added to the beams. Discuss any sources of error in the experiment - esp measurements - and how they might affect the results.

Specify an overall error for your calculation of E. Assume accurate to 4 decimal places.deflection which is the more rigid condition under operation. It is obvious therefore to study the methods by which we can predict the deflection of members under lateral loads or transverse loads, since it is this form of loading which will generally produce the greatest deflection of beams.

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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 /5(3).

Deflection is a term that is used to describe the degree to which a structural element is displaced under a load. The stress in between each support and the adjacent load: Stress at .

The deflection of the beam is calculated using the principal of virtual work, applying a unit load of 1N at the location where the deflection is required and solving (2) where M(x) are the moment along the beam due to the applied unit load W, while M_u(x) is the moment due to .

deflection of beams wlth special reference to shear deformations the influence of the form of a wooden beam on its stiffness and strength-i information reviewed and reaffirmed (reprint from national advisory committee 6 report national advisory committee for aeronautics.

Expt 2 Deflection of a Loaded Beam