The strain at point A on the bracket has normal components 400x10-6 and 550x10-6 in x and y directions, respectively and shear component -650 x106 in x-y plane. Determine the absolute maximum shear strain in 10-6 unit.
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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 strain at point A on the bracket has normal components 250x10-6 and 550x10-6 in x and y directions, respectively and shear component -600 x10-6 in x-y plane. Determine the absolute maximum shear strain in 10-6 unit.Please
- Two fully loaded tractor trailers travel over the bridge putting substantial loading on the structure. As they pass over the middle of the bridge, one of the vertical supporting pillars, which is fixed at its bottom, deforms as shown below. The weight of the trucks causes point T to move to point T'—a distance of 2.5 cm along the x-axis. If the pillar has an original height of 27 m , find the shear strain at point T.The piece of plastic is originally rectangular. Determine the average normal strain that occurs along the diagonals AC and DB. Determine the shear strain at corners A and B if the plastic distorts as shown by the dashed lines.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.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 =The strain at point A on the bracket has components P x = 300(10-6 ), Py = 550(10-6 ), gxy = -650(10-6 ), P z = 0. Determine (a) the principal strains at A in the x9y plane, (b) the maximum shear strain in the x–y plane, and (c) the absolute maximum shear strain.
- 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 = 36.82The 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 strain components at a point in a body subjected to plane strain are & 850μ, Ey -300μ, and Yay 400μ. Determine the principal strains and the maximum shearing strain at the point. Show the principal strain deformations and the maximum shearing strain distortion on a sketch. = = =