7- The state of strain at the point has components in the X-axis = -210x10-6, in the y-axis = 355x10-6, and in the x-y plane equations to determine the equivalent in-plane strains ( Ex Ey, and %3D -710x10-6. Use the strain-transformation ) on an element oriented at an angle of 55° counterclockwise from the original position. Yx'y'
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Q: 10-3. The state of strain at a point on a wrench has components €, = 120(10“), Yay = 150(i0*). Use…
A: 10-3 Given, εx=120×10-6εy=-180×10-6γxy=150×10-6 For our ease of calculation, we neglect the 10-6 in…
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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 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.The state of strain at the point on the leaf of the caster assembly has components of P x = -400(10-6), Py = 860(10-6), and gxy = 375(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 30 counterclockwise from the original position. Sketch the deformed element due to these strains within the x–y plane.
- 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 PumpI 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 étvThe 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.
- 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 0. Ex = 0, Ɛy= +320µ, Yxy=-100µ, 0 = 25° (Round the final answers to one decimal place.) X The strains are Ex' = Ey'= Yx'y'=|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 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.
- A differential element on the bracket is subjected to plane strain that has the following components: , Ex = 300 x 10-6, Ey = 200 x 10-6, Exy = -500 x 10-6. Use the strain-transformation equations and determine the normal strain Ex' in the x' direction on an element oriented at an angle of 60°. Note, a positive angle is counter clockwise.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.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 =