The 45° strain rosette shown in figure below is mounted on the surface of a thin shell. The following readings are obtained for each gage: ea, eb, and eC .Note that Be is negative. Determine: • Shear strain yxy · Principal strains el and e2 · The rotation angle (magnitude and direction) from x-axis to reach the principal orientation. Indicate direction as clockwise or counter-clockwise. epsilon a = 4.50E-04 epsilon b = 2.00E-04 epsilon c = -1.00E-04

The strain components ɛx, ɛy, and Yxy 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 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 430 µɛ, Yxy = 230 µrad. Enter the angle such that -45° s 0,s+45°. Answer: Ep1 με Ep2 = Ymax in-plane prad Yabsolute max. prad %3D

Completely solve the problem. Box the final answer. Write legilby.

Q1

1.40 Given a major principal strain of 600µ and strain invariants I, = 400µ and I, = - 4800µ, find the remaining principal strains. Find, in magnitude and direction, the octahedral normal and shear strains. Answer: (1u = 1 x 10 ) 200p.- 400u. 133µ, 822u

How can I draw in mohr's circle?

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.

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.

! Required information Consider the given state of plane strain. Ex=-180µ, Ey=-260µ, Yxy=+295µ Use Mohr's circle to determine the orientation and magnitude of the principal strains. (Round the final answers to one decimal place.) The orientations are %3D The magnitudes are Ea 93

The strain components Ex, Ey, and Yxy 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 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 μE, Ey = 310 με, Yxy = 280 μrad. Enter the angle such that -45° ≤ 0,≤ +45° Answer: Ep1 = Ep2 = Ymax in-plane = Yabsolute max. = 0p = με με urad urad