4 of 4(b) The 45° strain rosette is mounted on a steel shaft. The following readings are obtainedfrom each gauge are shown in Figure Q2(b).i.ii.Ea = 800 x 106, & = 520 x 106 and & = -450 x 10-6,Find the strains values in the x-y directions and draw the strain element diagram ofthat direction.Find the principal strain values and draw the strain element diagram of that direction.iii. Find the maximum shear strain value and draw the strain element diagram of thatdirection.iv.If the properties of the structure have E = 208 GPa and v = 0.28, find the magnitudeof the principal stresses.b45°45°Figure Q2(b)[[8 marks]

Answered: Image /qna-images/answer/09398278-33ac-440c-878a-583ff5dfe07c.jpg

Answered: 4 of 4 (b) The 45° strain rosette is…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

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The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.
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.
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.
- 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?
Figure Q2 (b) shows a strain rosette that is attached on the surface of a production equipment.The strain readings are εa = -200(10-6), εb = -65(10-6) and εc = 130(10-6).i) Determine the in-plane principal strains and sketch the strain element.ii) Determine the maximum in-plane shear strain and sketch the strain element.iii) What is the angle of orientation (with respect to x-axis) that leads to εx’ = 0?
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Q4 A three strain gages have been attached directly to a piston used to raise a medical chair, the strain gages give strains as Ea = 80 µ , Eb = 60 µ and Ec = 20 u . Determine the principal strains and the principal strain directions for the given set of strains. And Compute the strain in a direction -30° (clockwise) with the x axis. 45 Pump
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°
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2a. The delta strain gauge rosette shown in Figure 2a is attached to a structural component and measures the following strains: ɛ = 775x10°, ɛz = 415x106, ɛ̟ = -515x10°. Determine the principal strain and principal stress components in both magnitude and direction given that the structure has a Young's Modulus of E = 200×10° N/mm? and Poisson's ratio of v = 0.3. Show the directions of the principal stresses on a properly oriented stress element relative to the x,y coordinate system. 60° 60° 60° Figure 2a
The state of strain in a plane element is Ex = -300 x 10-6 , Ey= 450 x 10-6, and Yxy = 275 x 10-6. (a) Use the strain transformation equations to determine the equivalent strain components on an element oriented at an angle of 0 = 30° counterclockwise from the original position. (b) Sketch the deformed element due to these strains within the x-y plane.
Please show each and every step in detail. Dont miss any steps and highlight the final answer. Thanks!

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