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- Solid mechanic 2 Sketch the strain element that experiences a negative shear strain only on x-y plane.Problem 2 refers to the following: a load P is applied to the cantilever beam shown which causes it to bend and deflect elastically: 2. a. b. 6 C. Gage 1 2 3 4 5 6 5 3 4 on bottom Strain (ue) A student group recorded the following strains from the loaded beam but failed to record which gages (1-6) the strain recordings came from (all strains are in microstrain): -154, 318, -23, 555,-323, 81. 2 1 Write the correct strain readings in the table above. Note gages 1, 3, 4, and 5 are longitudinal gages, and gages 2 and 6 are transverse gages. Gage 4 is on the bottom of the beam and is the same distance from the load as gage 3. Calculate an estimate of Poisson's ratio for this material. If the elastic modulus for this material is 10 Mpsi, calculate the uniaxial stress at the location of gages 5 & 6.Draw Mohr's circle for the following plane strain state. Then compute (or extract from your drawing) the principal strains and max shear strain. (Positive sign convention for each is shown on the figure.) Ex = 200μ, Ey=-200μ, Yxy = 50μ (rad) You For the previous problem, compute the following six stress quantities: d. dy, dz. Txy, Tyz. Tzx. Assume this is an aluminum alloy (E = 10,000 ksi, G = 3800 ksi, v = 0.33). Do not forget units! Ex
- Draw Mohr's circle for the following plane strain state. Then compute (or extract from your drawing) the principal strains and max shear strain. (Positive sign convention for each is shown on the figure.) Ex = 200μ, Ey=-200μ, Yxy = 50μ (rad) ExFind strainA material is subjected to the following strain system,ex=200x10-6, ey=-56x10-6,yxy=230x10-6. Using graphical method, determine A. The principal strains B. The directions of principal strain axes C. The linear strain on an axis inclined at 50o counter clockwise to the direction of ex Given that young's modulus for the material is 207GN/m2 and the poisson's ratio is 0.27, determine the principal stresses
- The figure below shows a hollow circular beam with an outside diameter of 100 mm and a wall thickness of 40 mm loaded in bending with force F = 200 kN. F Ra Rb 1m 1 m Young's modulus of the beam is 80 GPa. Calculate the second moment of area, I, in m* in the form a x 10 0 where the number a is correct to two decimal places. I: x10 m4 Calculate the maximum bending moment, M, in kilonewtonmetres (kNm): M: kNm Calculate the maximum bending stress, o, in megapascals (MPa) correct to two decimal places. MPaIf the long axis of ellipsoid makes 300 with horizontal plane and principal strain axes ratio is 3.5, find the shear strain. Also, find A1 and A2, if value of Y is 2.A strain rosette (see figure) mounted on the surface of an automobile frame gives the following readings: gage A,310 × 10-6:gage B,180 × l0-6; and gage C. -160 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
- During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.Calcuate Bending From Point A to Point B and Point A to Point C.Calcuate Torsion From Point A to Point C (point C is where is connect it to the lug nut). Draw a FBD from point A to point B and another for point A to C indicating what stresses are been calculate. Use the stress tensor and stress cube to Indicate what forces are acting at point A. All the information need it is given Force apply at point B is 70lb Distacen from Point A to B is 12 in or 1 feet long Distacen from Point A to C is 3 in Handle diameter 0.625 in Modulus of elasticity for steel is 300000000 psi