Question

Could I get help on question 1 and 2 please

L/2 L/4 L/2 L/4 P/2 P/2 3 pt. Loading 4 pt. Loading 1. The schematics above show two common mechanical testing geometries - a 3 point loaded specimen and 4 point loaded specimen. The samples you would test in these geometries would be called "flexure" samples. P is the load measured by the load cell Samples would actually be longer than L but the contact points determine the loading profile Draw the V and M diagrams for each, side by side, on the same piece of paper Putting them side by side will allow you to compare and contrast the differences Label the values of V and M on the drawing in terms of L and x (use a left face orientation) a. b. Could shear failure in the beam initiate between the two inner loading pins in the 4 pt. loading configuration? Why or why not? Where would you expect failure caused by the bending stress to initiate (in terms of L position) for the 3 pt. and 4 pt. loading configurations? Show on a schematic of the sample c. d. If you were to test an identical set of brittle ceramic flexure specimens in 3 pt. and 4 pt. loading, would the average failure stress in each loading be identical or different? If different, which would be higher and why? (Look back at MSE 230 Notes) Schematically draw in the stress profiles (bending and shear) for cross-sectional samples in a 3-pt loading configuration at L/2. Put the stresses in terms of P at the surface and the neutral axis e.

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