Problem 11. The 60° strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: Ea=-780(106), Eb = 400(10-6), and & = 500(106). Determine (a) the principal strains and (b) the maximum in-plane shear strain and associated average normal strain. In each case show the deformed element due to these strains. b C 60° a 60° Note: The strain components could be determined using the below strain transformation equations. b Вь 6a Ꮎ x 2 ε₁ = ε cos² +ε, sin² + ½ sin cos 2 y 2 ε₁ = ε cos² 0₁₂ + ε, sin² 0₂+½xy sin е, cos ɛ₁ = ɛ¸ cos² O̟ +ɛ¸, sin² € +¼¸, sin е cos 0 xy

Problem 11. The 60° strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: Ea=-780(106), Eb = 400(10-6), and & = 500(106). Determine (a) the principal strains and (b) the maximum in-plane shear strain and associated average normal strain. In each case show the deformed element due to these strains. b C 60° a 60° Note: The strain components could be determined using the below strain transformation equations. b Вь 6a Ꮎ x 2 ε₁ = ε cos² +ε, sin² + ½ sin cos 2 y 2 ε₁ = ε cos² 0₁₂ + ε, sin² 0₂+½xy sin е, cos ɛ₁ = ɛ¸ cos² O̟ +ɛ¸, sin² € +¼¸, sin е cos 0 xy

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...

See similar textbooks

Similar questions

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.
An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.
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 element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
1
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 strain components E, Ey, and yyare given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 440 µE, ɛ, = -810 µE, Vxy = -540 µrad. Enter the angle such that -45°s0,s +45°. Answer: Ep1 = Ep2 = Ymax in-plane prad Yabsolute max. prad 0, =
The 45° strain rosette is mounted on a steel shaft. The following readings are obtained from each gauge: E, = 300(10). e, = 18s0(10).E. =-250(106) a-Determine the in-plane principal strains and their orientation by the analytical method. 450 b-Draw the strain Mohr's circle of this state of strain. And using the Morh's circle, check the result of the question a.
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
The strain components ɛ, Ey, and yy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 300 µe, ɛ, = -710 pe, Vxy = -440 urad. Enter the angle such that -45°s0,s +45°. Answer: Ep1= pe Ep2= με Ymax in-plane = prad Yabsolute max. prad Əp =
Three readings are obtained from an equiangular strain gage rosette mounted on a free and unloaded surface of a part. Determine the magnitude of the principal strains and their orientation with respect to the 0° gage. Check the results with a Mohr circle.Assume The three known strains are all linear strains
Completely solve the problem. Box the final answer. Write legilby.