A rectangular block of size in mm as shown in fig., is subjected to stressess. Determine the change in linear dimension and change in volume of the block. Take E = 200 X 106 kPa and poisson's ratio = 0.3. 140MPA 50MPA 140MPA 50 MPa 900 600
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- 1. Calculate the maximum stresses to occur in the hole and groove (groove) areas in the plate below, whose geometry and the applied force are known. 200 mm d = 30 mm 5000 N 5000 N t= 25 mm r= 15 mmFor the following data, using Mohr's circle of stress and trigonometry, (a) Find the principle stresses and show their sense in properly oriented element and (b) find the maximum (principle) shear stresses with the associated normal stresses and show the results on a properly oriented element.A specimen of titanium alloy is tested in torsion and the shear stress–strain diagram is shown in Fig.a. Determine the shear modulus G, the proportional limit, and the ultimate shear stress. Also, determine the maximum distance d that the top of a block of this material, shown in Fig. b, could be displaced horizontally if the material behaves elastically when acted upon by a shear force V. What is the magnitude of V necessary to cause this displacement?
- The state of stress at a point is given by oxx = -93 MPa, oyy = 69 MPa, ozz = 58 MPa, oxy = 0 MPa, oyz = 0 MPa, and ozx = 0 MPa. Calculate the absolute value of the maximum shear stress. Provide your answer in MPa (you do not need to type the units).? (sigma) = 90 40 0 40 −50 0 0 0 0 MPaa. Plot the shear and normal stresses on a given oblique plane (rotated plane) on a graph (stress vs. angle) and show the max. shear plane and the principal planes. (like in the image, using excel) b.If the steel sample has a Young’s modulus of 193 GPa, compute the dimensional changes of the plate under the above loading condition. Shear moduli is 70Gpa.Tensile 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.
- A steel pipe has an inside diameter of d = 250 mm and an outside diameter of D = 268 mm. The length of the pipe is L = 6.0 m. The changes in dimension caused by an increase in temperature of 80°C for the: Outside diameter - Blank 1 mm Inside diameter - Blank 2 mm Lenght - Blank 3 mm Note: All answer must be round off up to 3 decimal places.the state of stress at a point can be described by óx=36 MPa and Txy= 17MPa a second coordinate system is rotated by theta35 degrees What is the normal stress in the direction of the x' axis what is the shear stress in the y'-direction for the faces with a normal in the x'-direction what is the normal stress in the direction of the y'-axisThe plate shown below initially measures 90 X 65mm . Find the changes to these dimensions when subjected to the stresses shown. The modulus of elasticity of the material is 214 E GPA and poissons ratio is 0.32. Also derive the expressions for the change in dimensions of a cube subjected to three dimensional loading.
- A closed cylinder (26 + 60) cm long, containing 3 MPa pressurized fluid, due to this pressure a change in volume and change in length occurs has the values 1.535 × 10-6 m3 and 4.2 x 10-5 m3, respectively. Determine: (a) the diameter and thickness of the cylinder. (b) the hoop and longitudinal stresses. (c) to what value can the fluid pressure be increased before failure occurs according to the maximum principal stress theory of elastic failure? (d) under the pressure produced in (c), what will be the extra fluid required to pumped into the cylinder. For the material of the cylinder, E 200 GPa, v = 0.3, and the || yield stress oy in simple tension 280 MPa.Kindly solve this problem with complete solution so that I can Understand. Correct Final answer: 1400 or 1.4x10^3The state of stress at a point under plane stress 40 MPa, Oyy condition is Ox = = 100 MPa and Txy 40 MPa. This radius the Mohr's circle representing the given state of stress in MPa is: