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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![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
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- 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,…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° -X5- 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.
- W 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 conditionsFigure 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 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°
- 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,…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°
- The 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 ?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. aF1=603N F2 =818N show a detailed solution please