9. During a static test of an airplane wing, the strain-gauge readings from a 45° rosette (see figure below) are as follows: Gauge A: 530×10“, Gauge B: 420×10“, Gauge C: -80×10“. Determine the principal strains and maximum shear strains. 45° C 45°
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- 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.- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
- A 45° degree strain gauge rosette positioned on the surface of a structure under stress recorded the following values of normal strain: Gauge A: Gauge B: (oriented at 45° anti-clockwise to gauge A) Gauge C: -275×10 (oriented at 90° anti-clockwise to gauge A) What is the value of normal strain and shear strain on a plane inclined at 29° clockwise from gauge B? -6 - 195 × 10 (oriented in the postive x direction) 145 x 10-6 a) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 602.1 microstrain, respectively. b) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 301.1 microstrain, respectively. c) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 334.9 microstrain, respectively. d) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 167.4 microstrain,…Figure Q2 shows the strain gauges positions and values at point A on a surface of a loaded structure. The strain readings in directions of a, b and x are +400m, -100m and +200m respectively. The structure has properties as following; E= 205 GPa, v = 0.32 a) What are the principal stresses? Sketch the principal stress element and mark its values. b) What are the stresses in a-b directions ? Sketch the stress element and mark its valuesThe 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 micron
- 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.Question 5: (8 marks) The 45° strain rosette shown in Figure 5 is mounted on a machine element. The following readings are obtained from each gauge: Ea = 650 x 106, : b = -300 x 106, and : &c = 480 x 10°. Determine (a) the in-plane principal strains, and (b) the maximum in-plane shear strain and the associated average normal strain. a Figure 5 45° 45°Q // The tensile tests were performed on longitudinal specimens of compact bone. The E1= 0.0004 65° strain rosette is mounted on a bone were the readings are obtained for each gauge as shown in figure. Determine (a) the principal strains and (b) the shear strain and average normal strain. 50° E2 = - 0.0005 65° €z = 0.0003
- A 45° degree strain gauge rosette positioned on the surface of a structure under stress recorded the following values of normal strain: Gauge A: -195×10 (oriented in the postive x direction) Gauge B: 145 x 10- (oriented at 45° anti-clockwise to gauge A) Gauge C: -275×10-8 (oriented at 90° anti-clockwise to gauge A) What is the value of normal strain and shear strain on a plane inclined at 29° clockwise from gauge B? a) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 602.1 microstrain, respectively. b) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 301.1 microstrain, respectively. c) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 334.9 microstrain, respectively. d) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 167.4 microstrain,…The 45° strain rosette shown in figure below is mounted on the surface of a thin shell. The following readings are obtained for each gage: ea, eb, and ec. Note that e, is negative. Determine: • Shear strain yay • Principal strains e1 and e2 • The rotation angle (magnitude and direction) from x-axis to reach the principal orientation. Indicate direction as clockwise or counter-clockwise. epsilon_a = 4.50E-04 epsilon_b = 2.00E-04 epsilon_c = -1.00E-04 y а b 45° 45°QB3 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.