3 - The strain gauge rosette indicated in the figure provides the following readings:&o= 400μ, E60=250μ, E120= -480μ. Using the relations given below, find the magnitudes and directions of the principle strains and the maximum shearing strains. Ex=Eo Ey=(260 +2E₁20-Eo) Xxy = 2√7/35 (E60-E120) 13 y 30° 120 60° -X

1

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

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Also, this is not correct.   E1= 0.000724   E2= -0.000124   γmax = 0.000848   γmax= 0.000848 in y - 2 plane

6. Airplane components often have a “stressed skin" construction, which consists of a thin sheet of aluminum in tension connected to the structure with rivets (i.e. pins that go through circular holes). a. If the aluminum skin is subject to a far-field biaxial tension of σ = 100 MPa and has a yield strength of σ = 210 MPa, will the rivet cause the sheet to yield? b. What is the strain through the thickness (z-direction) at the top-most edge of the hole? What does this mean is happening to the plate at that point? c. If a crack of length a = 1 mm forms at the side of the hole, will the plate fracture? How about if the crack is a = 3 mm? Take the aluminum to have a fracture toughness of K₁c = 15 MPa√m, and take the geometric stress concentration factor to be Y = 1.12. 50 = a

For a conductive wire with length L=1cm,w=1mm, h=1mmunder uniaxial strain, the resistance change is given as. If the uniaxial strain is e= 1 and the Poisson’s ratio is n= 0.3. What is the gauge factor?

2.5

Nilo