Bending: Second Moment of Area and Solid Edge

MEM23061A Test Mechanical Engineering Materials Lab. BEAM BENDING The curve of publicises is one of the most important types of seek in engineering. Bendingis more(prenominal) likely to be a critical stress thanother types of stress like tension, compression etc. In this laboratory, we will be ascertain the Modulus of Elasticity E (also called Youngs Modulus) of the various materials and using Solid Edge to realise the Second s of athletic field for the different cross-sections. pic Equations Use units Force (N), aloofness (mm), Stress (MPa) E = Youngs Modulus or Mod of Elasticity (MPa)I = 2nd signifi sack upce of Area or Area Moment (mm4). Can seem using SolidEdge sketch. BENDING pic In our case, we must first convert the mass to Newtons (N). W = kg * 9. 81 L is the span length in (mm). I is the Second Moment of Area in (mm4). We can calculate this for a rectangle using a simple formula pic For other shapes it is not so simple. We need to calculate these using a program such as Solid Edge (see below). Determining the value of E in MPa. From the supra equation, Deflection z = W * L3 / (48 * E * I) so E = W * L3 / (48 * z * I) Determining Stress in MPa.From the above equation, Bending Moment (Nmm) M = W*L / 4 and MaximumStress (MPa) f = M * y / I where y = distance from centroid to the bottom (or top) of the transport. This is exclusively half the depth for all the symmetrical beams except the business line. To find the centroid for the channel you need to use Solid Edge again (same as the Ixx window) pic science lab 1. Load another beam onto the rig. 2. Adjust dial gauge to delay it is touching the beam. Zero the dial face by rotating the lense and locking in place. 3. Apply from each one load and record the deflection measurement. . erupt you have all recordings Beam material, beam cross-sectional dimensions, span length, deflection readings, masses. 5. Make estimates of the errors associated with each measurement. E. g. Parallax error, mis-alignment, mechanical play,incorrect deflections etc 5. Repeat for next beam pic Report 1. Use Solid Edge to calculate Ixx for each beam. likewise determine the weight on CAD. Draw up the cross-section (either in part mode or as a draft). While you atomic number 18 still in the profile sketch (i. e. before going to a solid) go to top menuInspect > Area gt frankfurter Area Information button in Ribbonbar > (click inside the area you want to inspect) > Click on the green arrow in Ribbonbar. > You should see a shelve like this pic Ixx is the Second Moment of Area in bending witha vertical load. 2. Write a short report on the beam bending results. Each beam must have at to the lowest degree 3 weights. Make sure the deflection does not exceed the tour of the dial indicator (if so, use a lighter weight). 3. victimisation the equations above, calculate the value of E. Compare these values to the values obtained fromthe internet.E. g. Matweb. Show the working for 1 exampl e calculation, but only give the rest of the answers in a table. Use Excel to do your calculations. 4. Determine the maximum stress for each mass (load) added to the beams. 5. Discuss any sources of error in the experiment extrasensory perception measurements and how they might affect the results. Specify an overall error for your calculation of E. pic pic Using the dial gauge to measure deflection in the beam man under a load of 500g. pic pic The face of the dial gauge can be rotated to zero the scale.