The state of strain at a point on the pin leaf has components €₂ = 200 (10-6), €y = 180 (10-6), Yzy = -300 (10-⁰). Use the Mohr's circle to determine the equivalent in-plane strains on an element oriented at an angle of = 30° clockwise from the original position. (Figure 1) Figure < 1 of 1 > Part B Select the points that represent the strain on the inclined element. Select point P on Mohr's circle that represents and y/2 for the given state of plane strain for the element and point Q that represe Ey. 4+0 No elements selected -400 -300 -200 81 -100 -300- -200- -100- tel R=150.33 100 A (200,-150) C (1910) 1240 I 300 ? E, 10-6 H 400

The state of strain at a point on the pin leaf has components €₂ = 200 (10-6), €y = 180 (10-6), Yzy = -300 (10-⁰). Use the Mohr's circle to determine the equivalent in-plane strains on an element oriented at an angle of = 30° clockwise from the original position. (Figure 1) Figure < 1 of 1 > Part B Select the points that represent the strain on the inclined element. Select point P on Mohr's circle that represents and y/2 for the given state of plane strain for the element and point Q that represe Ey. 4+0 No elements selected -400 -300 -200 81 -100 -300- -200- -100- tel R=150.33 100 A (200,-150) C (1910) 1240 I 300 ? E, 10-6 H 400

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 7.7.20P: A strain rosette (see figure) mounted on the surface of an automobile frame gives the following...

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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.
The state of strain at the point on the bracket has components Px = 350(10-6), Py = -860(10-6),gxy = 250(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 45° clockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.
The state of strain at a point on the bracket has components of Px = 150(10-6), Py = 200(10-6), gxy = -700(10-6). Use the strain transformation equations and determine the equivalent in-plane strains on an element oriented at an angle of u = 60° counterclockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.
A 45° strain rosette was placed on the surface of a critical point on an engineering part. The following were measured: Ea = 400 μ C ли 45° mm mm 45° ли Gauge a was aligned with the x-axis. a. Determine Ex, Ey, Yxy b. Using Mohr's Circle, find the principal strains and the maximum shear strain at that point, and find the orientation of the principal planes from the given x-y axes. y ли & = 450 μ ஆ b a mm X mm & c = 500 μ y+ ос mm mm eb 10₂ X
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 a plane strain at a point has the components &x 500 (10-5), ɛy = 250 (10-6) and Yxy = 200 (10-6). Determine the principal strains and the maximum in plane shear strain. Select one: E1 = 535 (10 ), e2 = -215 (10-) and ymax in-plane = -320 (10 ). %3D = 535 (10-), E = 215 (10) and ymax in-plane = 160 (10). E = 535 (10), ɛ2 = -215 (10°) and ymax in-plane = 320 (10). E = 535 (10-), 82 = 215 (10) and ymax in-plane = 320 (10). E1 = -535 (10) E2 = -215 (10) and ymax in-pare = -320 (10°).
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.
(b) A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has the following components: ex = 150µ, ey = 200μ , γχν = -700μ. By using the strain transformation equations, determine:- The equivalent in-plane strains on an element oriented at an angle 0 = 60° counterclockwise from the original position. (ii) Sketch the deformed element within the x' – y' plane due to these strains. (iii) The stresses on the oriented planes in (i) where the value of elasticity, E = 200 GPa and Poisson's ratio, v = 0.32. (iv) Give your comments on those stresses in (iii) in terms of elastic limit/failure if the material's yield strength in tension/compression is 250 MPa and in shear is 90 MPa.
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.
The state of strain at the point on the leaf of the caster assembly has components of Ex = -400(10-6), y = 860(10-6), and Yxy = 375(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 0 = 30° counterclockwise from the original position. Sketch the deformed element due to these strains within the x-y plane.
The state of strain at the point on the arm in Figure Q10 has components ϵx = 200.5 micro-strain, ϵy = 324.4 micro-strain, and γxy = 220.6 micro-strain (1 micro-strain = strain×10-6). Figure 10 Calculate the maximum principal strain. Express your answer in micro-strains. Report your answer to 1 decimal place.
The state of plane strain on an element has components of € = 500(10-6), Ey = 300(10-6), and Yzy = -200(10-6). (Figure 1) Figure Gdyt dy Yay 2 y 2 dx ** Part A Determine the equivalent state of strain on an element at the same point oriented 45° clockwise with respect to the original element. Enter your answers to three significant figures separated by commas. Er', Ey', Yr'y' = Submit Provide Feedback VE ΑΣΦ Request Answer ↓↑ vec **** ? Next >