Two [0°, 45°, 90°] strain gauge rosettes are placed along the neutral axis of a 4-point bent beam as shown in the figure below. What will the strain reading in each of the 6 gauges be? P L/3 L/3 -45° 45 L/4 L/2 L NA h W
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- Q1 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)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,…5- B) What do you mean by strain? A strain gauge has a resistance of 157.4 ohms and a gauge factor of 2.7. Find the change in resistance of the gauge for a strain of 0.0017.
- 3 - The strain gauge rosette indicated in the figure provides the following readings: &o= 400μ, E60=250μ, E120= -480p. Using the relations given below, find the magnitudes and directions of the principle strains and the maximum shearing strains. Ex=Eo Ey (2860-2E₁0 Eo) = - Xxy = 7 (E60-E120) y 30° 120 60° -XW A L A Test beam Strain gauge (a) Unsymmetrical cantilever beam with weight applied at the free end and at the "shear centre", so that there is no torsion induced. Section A-A Strain gauge 1 b Strain gauge 3 Strain gauge 2 B (b) Location of Huggenberger strain gauges a Referring to the above figure, calculate the location of the centroid, the second moments and product of area for the cross-section if; D = 67 mm B = 41 mm t = 2.41 mm. From these, calculate the position and orientation of neutral axis for pure bending in the vertical plane (i.e. bending about a horizontal axis). Also calculate the directions of the principal second moments of area. Next, graph as scale diagram of the cross-section and plot the neutral axis on that diagram in the correct location and indicate the direction of deflection for the same conditionsThe 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°
- 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 valuesA 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,…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.
- 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 Be is negative. Determine: • Shear strain yxy • 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 k= 2.00E-04 epsilons = -1.00E-04 %3D y а b 45° 45°Suppose that the following rod system is subjected to a specific amount of load that makes the displacements of nodes 2 and 3 to be q2=2.18 mm and q3=0.32 mm. The system is made of a material with Young's modulus of E=150 GPa. Suppose that the vector B (strain-displacement vector) for node 1 is B 1 = 14.9 × [ - 1 . 5 2 - 0 . 5 ] 1/m. Workout the stress of node 1 in GPa. aThe stress-strain diagram for a steel alloy having an original diameter of 0.80 in and a gage length of 10 in. is shown in the figure below. (Figure 1) Figure (ks) 70 40 30 40 30 20 10 0 004 00 - 612 636 630 6.34 0.38 BLS GURE LUNGS GORD 1 of 1 (in/in) X Incorrect; Try Again; 2 attempts remaining Part B Determine the load on the specimen that causes yielding Express your answer to three significant figures and include appropriate units. Py = 74 Submit kips Previous Answers Request Answer ?