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- Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .Find strainTensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain = 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw=-0.1000 at that instant. The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be expected.
- Problem 2: Use an eigenvalue approach to solve for the principal stresses and directions for the state of stress shown below. Show the principal stresses on a properly oriented element of material. 20 mPaIt is used to find the shear strength of a 3-system material. T-shaped test is used for this. When driving in the way, t = 4mm, bottom wide is 10 mm and T section is 15 mma) Find the shear strength of the specimen as shear damage occurs when a force of F9 kN is applied to the specimen.b) Calculate the maximum normal stress occurring in the sample when a force of F = 9 kN is applied.In the picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 400 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?
- i need clear ans and solve very very fast in 20 min and thank you | DYBALA By using volume constancy formula for summation of three strains, estimate the strains in lateral directions for circular shaft if the strain in longitudinal direction is 0.18?a) Calculate the principal strains, given that the state of plane strain for an element is: E = 25microns E, = 100microns Yy =-45microns b) An axial load of 3 kN is applied to the solid tubular member as shown in Figure 1. The length of the tube is 2.5 metres, the radius is 15 mm. The modulus of elasticity is 200 GPa. Calculate the elongation due to the loading, giving the answer in microns. Length of tube: 2.5m 8 Load: 3 kN Radius of tube: 15mm Figure 1Q6/ A material has a true stress -strain curve given by o=Kɛ", derive and calculate the true and engineering ultimate tensile strength of this material. (use : k=689.47kpa , n=0.5)
- 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.Example: Convert the change in length data in Table 3-2 to engineering stress and strain and plot a stress-strain curve Homework- help Table 3-2 The results of a tensile test of a 0.505 in. diameter aluminum alloy test bar, initial length (1o) = 2 in. Calculated LTO Load (Ib) Change in Length (in.) Stress (psi) Strain (in./in.) 0.000 1000 0.001 0.0005 4,993 14,978 24,963 34,948 37,445 39,442 39,941 39,691 37,944 3000 0.003 0.0015 5000 0.005 0.0025 7000 0.007 0.0035 7500 0.030 0.0150 7900 0.080 0.0400 8000 (maximum load) 0.120 0.0600 7950 0.160 0.0800 7600 (fracture) 0.205 0.1025The figure below shows a hollow circular beam with an outside diameter of 150 mm and a wall thickness of 50 mm loaded in bending with force F = 400 kN. F Ra Rb 1 m 1 m Young's modulus of the beam is 95 GPa. Calculate the second moment of area, I, in m4 in the form a x 10 6 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. MPa