A strain gauges system mounted at a point on a structural member that is subjected to a multiaxial stress, where we have the following readings: & = 7.820 x104; Ey = -8.680x104; &z= 3.200 x10¹4; Vxy = 2.112 x10-³; Determine the stress components if the member is made of an isotropic material with linear elastic behavior having the following elastic properties:
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- A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.On the surface of a structural component in a space vehicle, the strains arc monitored by means of three strain gages arranged as shown in the figure. During a certain maneuver, the following strains were recorded: e, = 1100 X l0_6, 6h = 200 X lO_6, and e = 200 X 10-6. Determine the principal strains and principal stresses in the material. which is a magnesium alloy for which E = 6000 ksi and v = 0.35. Show the princ ipal strains and principal stresses on sketches of properly oriented elements.
- A steel thick cylinder of external diameter 150 mm has two strain gauges fixed externally, one along the longitudinal axis and the other at right angles to read the hoop strain. The cylinder is subjected to an internal pressure of 75 MPa and this causes the following strains: (a) hoop gauge: 455 x 106 mm/mm tensile; (b) longitudinal gauge: 124 x 10 mm/mm tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GPa and Poisson's ratio is 0.283.The strain rosette shown in figure was used to obtain strain data at a point on the surface of a machine part. If the readings from gages a, b, c were 650, -450, -585 (all in microns) respectively; which of the following is the shear strain on the surface? 45° a Lutfen birini seçin a1370 micron b. 1570 micron c1400 micron d7600 micronA strain gauges system mounted at a point on a structural member that is subjected to multiaxial stress, where we have the following readings: Ex = 3.8 x104; &y = 5.5 x10-5; Ez = - 7.5 x10-5; Yy = 9.1 x104; %3D Determine the stress components if the member is made of an isotropic material with linear elastic behavior having the following elastic properties: Young's modulus E = 200 Gpa and Poisson's ratio v = 0.3; Select one: Ох %3D -100 Мра; оу %3D -50 Мра; о, %3D 30 Мра; Тху 3D 70 Мра; Ox = -75 Mpa; o, = -50 Mpa; 0z = 40 Mpa; Ty = 80 Mpa3; Oy = 300 Mpa; oy = -150 Mpa; 0z 3 100 Мра;B тyу = 100 Mpa; TOSHIBA
- Problem 2: A specimen of steel having an initial diameter of 0.503 in was tested in tension using a gauge length of 2 inches. The following data were obtained for the tension. Plot the stress strain data and determine the modulus of elasticity, and the yield strength of the material. Elastic State Load P Ibf Elongation in 1 000 0.0004 2 000 0.0006 3 000 0.0010 4 000 0.0013 7 000 0.0023 8 400 0.0028 8 800 0.0036 9 200 0.0089QB3 TWO DIMENTIONAL STRAIN Three strain gauges were arranged in the form of a rectangular rosette and positioned on a test surface. The measured strains were as follows: E1 = 200x 106 E2 = 100 x 10-6 E3 = 50 x 10-6 Determine a) the principal strains and the principle stresses b) the direction of the greater principal strain relative to gauge 1 and sketch the Mohr strain circle. Take the Young Modulus of Elasticity value to be E = 200 GN/m² and Poisson's ratio u = 0.28.A 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
- gauges system mounted at a point on a structural member that is subjected to multiaxial stresses, where we have the following readings: Ex = 6.686 x104 ;&, 3.0 x10-4; & = - 6.857 x10-5; Yxy = 2.580 x10-3; %3D %3D Determine the stress components if the member is made of an isotropic material with linear elastic behavior having the following elastic properties: Young's modulus E = 70 Gpa and Poisson's ratio v = 0.29; Select one: Ox = 70 Mpa; Oy = 50 Mpa; o, 3 30 Мра; Тҳу 35 Mра; %3D 25 Mpa; 0z = 30 Mpa; Txy = 70 Mpa; %3D Ох %3D 140 Мра; бу %3D Ox = 90 Mpa; oy = 50 Mpa; o, = 60 Mpa; Ty = 35 Mpa%3; Ox = 70 Mpa; oy = 50 Mpa; 0z = 30 Mpa; Txy = 70 Mpa; = 70 Mpa3; = 100 Mpa; Oy = 50 Mpa; 0z = 80 Mpa; TxyQ1 The 45° strain rosette is mounted on a steel robotic am as shown in Figure Ql. The robotic arm is made from steel with Esel = 200 GRA and poison ratio, v= 0.3. The following readings are obtained for each gauge: E=[Y+Z](10“) E = -250(10-) E= -200(10) Here the value of Y and Z depends on the 5th digit and 6th digit of your matric number as shown in Table 1. For example, if your matrix number is DD 070112 gives the value of Y=300 and Z-60: Table 1 5 digit of matric 6* digit of matric number number 250 300 350 30 2 60 3 400 3 90 4 450 120 5 500 150 6. 550 180 7 600 7 210 650 700 240 270 (a) Prove that &= E, and E, = E. Determine the shear strain, yand the normal strain, E, and &. (b) Estimate the in-plane principal strains and the angle associated with the principal strains, and (c) Calculate the principal stress associated with the prihcipal strains in (c). (d)1-A round member having a diameter of 3cm experience an axial load of 10KN. Two strain gauges are mounted on the member, one measuring an axial strain of 600 micro-strain and the other measuring a lateral strain of -163 micro-strain. The modulus of elasticity in GPa is Choose... The Poisson ratio is Choose... + The stress in MPa is Choose... + Next page