Q4) The 60° strain rosette is mounted on a beam. The following readings are obtained from each gauge: e 200(10), E-420(10), E=260(10).Determine (a) the in-plane principal strains and their orientation, and (b) the maximum in-plane shear strain and average normal strain. In each case show the deformed element due to these strains. Draw Mohr's circle 60 60 60

Q4) The 60° strain rosette is mounted on a beam. The following readings are obtained from each gauge: e 200(10), E-420(10), E=260(10).Determine (a) the in-plane principal strains and their orientation, and (b) the maximum in-plane shear strain and average normal strain. In each case show the deformed element due to these strains. Draw Mohr's circle 60 60 60

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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During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
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.
1. Find the relationships between strain components in the polar coordinate and strain components in the rectangular coordinate.
I Review The state of strain at the point has components of e, = 230 (10 6), e, = -240 (10 ), and Yay = 500 (10 6). Part A Use the strain-transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 30 ° counterclockwise from the original position. (Figure 1) Enter your answers numerically separated by commas. AEo 1 vec E, Ey', Yr'y = Figure étv
The state of plane strain on an element is represented by the following components: Ex =D340 x 10-6, ɛ, = , yxy Ey =D110 x 10-6, 3D180 x10-6 ху Draw Mohr's circle to represent this state of strain. Use Mohrs circle to obtain the principal strains and principal plane.
Your answer is partially correct. The strain components for a point in a body subjected to plane strain are ɛ, = -890 µɛ, ɛ, = -690µɛ and yy = -682 prad. Using Mohr's circle, determine the principal strains (ɛp1 > Ep2), the maximum inplane shear strain yip, and the absolute maximum shear strain ymax at the point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = 927.99 με. Ep2 = 1116.0 PE. Vip = 188.01 prad. Ymax = -188.01 prad. Op = 36.82
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
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
The state of strain at the point on the spanner wrench has components of Px = 260(10-6), P y = 320(10-6), and gxy = 180(10-6). Use the strain transformation equations to determine (a) the in-plane principal strains and (b) the maximum in-plane shear strain and average normal strain. In each case specify the orientation of the element and show how the strains deform the element within the x–y plane.
Q4. The triangular plate ABC is deformed into the shape shown by the dashed lines. If at A, EAB = 0.007, EAC = 0.015, and xy = 0.006 rad, determine the average normal strain along edge BC. 350 mm y A -Yxy 1 450 mm 1 B X (Note: Work show the SI units throughout the solution and the final result should be in SI units)
The state of a plane strain at a point has the components &, = -100 (10-5), &, = -50 (105) and yw = 200 (105). Determine the principal strains and the maximum in plane shear strain. %3D Select one: & = 28 (10°), E2 = 178 (10°) and ymax in-plane = -206 (10"). 228 (106), ɛ2 = 178 (10°) and Ymax in-plane 206 (106). O & = 28 (105), E2 = -178 (10°) and ymax in-plane 206 (106). %3D %3D O & = -28 (10°), ɛ2 = -178 (10°) and ymax in-plane = 206 (10 & = 28 (10), E2 = 178 (10°) and ymax in-plane = 206 (10°). %3D %3D TOSHIBA
Q.4) By using the strain rosette shown in figure below, we obtained the following normal strain data at a point on the surface of a machine part made of steel [E = 207 GPa, v= 0.29]: ε-770 μ, E = 520 µ, & = - 435 µ (a) Determine the strain components &, &, and %y at the point. (b) Determine the principal strains and the maximum in-plane shear strain at the point using Mohr's circle. (c) Draw a sketch showing the angle Op, the principal strain deformations, and the maximum in-plane shear strain distortions. (d) Determine the magnitude of the absolute maximum shear strain. b ' 60°| 60°