Solve b and c The state of plane strain on a differential element of material is shown below. The strains are € = 0, y = −350(106), and Yzy = 125(106).&,dydyYxy2dxxYxy2-&.dxa) Determine the equivalent strains on an element oriented 35.0° counterclockwise from the differential element shown.Ey' =Vx'y' =b) Determine the in-plane principal strains on the oriented element.€1=€2 =C) Determine the maximum in-plane shear strain and the associated average normal strain on the oriented element.maxVin planeEavg ==

Answered: Image /qna-images/answer/57319aa8-12db-4c22-a362-af74907ac70c.jpg

Answered: The state of plane strain on a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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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
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
2. A solid steel rod is connected to an arm loaded by to forces, F-1 kN and F₁ -1.2 kN. A three-element rosette is glued to the shaft at point A, see Fig. fy 60° 120° xx The strain readings are €g = 60 με, €g = 135 με, ξ = 264 με Calculate the strains, a) Ex b) Ey c) Yxy _TY
For the given state of plane strain, use Mohr's circle to determine the state of plane strain associated with axes x' and y rotated through the given angle 8. Ex=-500μ, &y=+250µ, Yxy = 0, 0 = 13° O (Round the final answers to one decimal place.) The strains are Ex'= Ey₁ = | Vx'y¹=[ H
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 plate distorts as shown by the dashed lines. The dimensions are L= 410 mmmm, H= 320 mm, d1= 3 mm, d2= 5 mm, d3= 12 mm, d4= 9 mm, d5= 3 mm, and d6= 7 mm. A) Determine the shear strain γxy at corner C. B) Determine the shear strain γxy at corner D.
A uniaxial force was applied on the shown coupon during an experiment. The thickness, width and length of the coupon are 1mm, 20mm and 100 mm, respectively. the force applied had a magnitude of 1000N. A strain rosette was applied to the sample as shown. Strain gages a and c are perpendicular to each other. On the other hand, the angle between strain gages b and a is 30°. The strain gages reported the following strains Ea = -0.2x10-3 Ep = 0.667x10-3 Determine the elastic properties of the isotropic coupon. 30 a
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 state of strain in a plane element is €x = -200 x 10-6 , Ey = 100 × 10-6 , and Yxy = 75 x 10-6 , as shown below. Determine the equivalent state of strain which represents (a) the principal strains (b) the maximum in-plane shear strain and the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original element. y Eydy Yxy 2 dy Yxy FExdx 2 dx
A set of strain rosette with three strain gauges at 120° apart is attached onto a steel structure surface, point P for strain measurement. The state of stress at point P is then determined from the acquired strain measurement. The orientation of strain rosette is shown in Figure. When the structure is being loaded the readings of the gauges are 200μ, -100μ and -200μ at the directions of a, b and c respectively a) Find the strains values in the x-y directions and draw the strain elementdiagram of that direction. b) Find the principal strain values and draw the strain element diagram of that direction. c) Find the maximum shear strain value and draw the strain element diagram of that direction. d) If the properties of the structure has E = 208 GPa and ν = 0.28, find themagnitude of the Principal Stresses and draw its stress element diagram. e) Give your comment without calculation on what happen to maximumprincipal strain of the steel (E = 208 GPa) is changed to titanium (E =…
A point On a free surface of a machine point (E = 214Gpa, G= 83Gpa) the stress state is shown on the diagram below e) Find the three principle strains, absolute max shear strain and the max in plane shear strain f) Determine the principle strains (Ep1,Ep2) and the max in the plane shear strain in the correct schematic
1

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